i’m confused on the split circle part; do i count it as a full circle?

Im Confused On The Split Circle Part; Do I Count It As A Full Circle?

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

Yes - those are 2 semicircles so their combined area = πr^2

= 3^2π

= 9π.

Answer 2

Yes.. You can count it as full circle.

Answer:

3.9 squre inch

Step-by-step explanation:

Two semicircles are inscribed in a square of side 6 in. Both the semicircles if combined together will form a full circle.

Area of the yellow region would be half of the areas of the difference between area of square and area of two semicircles each with radius 3 inches.

Therefore,

Area of yellow region

[tex] = \frac{1}{2} (area \: of \: square - 2 \times area \: of \: semicircle) \\ \\ = \frac{1}{2} ( {6}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} ) \\ \\ = \frac{1}{2} ( {6}^{2} - 3.14 \times {3}^{2} ) \\ \\ = \frac{1}{2} ( 36 - 3.14 \times 9 ) \\ \\ = \frac{1}{2} ( 36 - 28.26 ) \\ \\ = \frac{1}{2} \times 7.74 \\ \\ = 3.87 \: {in}^{2} \\ \\ = 3.9 \: {in}^{2}[/tex]


Related Questions

NEED HELP FAST!The weather report says the temperature is 20°C and will drop 5°C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10°C, should Daryl move his plant to a warmer location before leaving?


An inequality to model the problem is .

The solution is .

Answers

Answer:

no he should be fine it will be -10C when he gets back

Step-by-step explanation:

Answer:

The weather report says the temperature is 20°C and will drop 5°C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10°C, should Daryl move his plant to a warmer location before leaving?

An inequality to model the problem is  

✔ 20 - 5x > -10

.

The solution is  

✔ x < 6

.

Step-by-step explanation: no one could answer this write so here.

College Students and Drinking Habits: A public health official is studying differences in drinking habits among students at two different universities. They collect a random sample of students independently from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week. Sample Statistics:
size(n) Mean (X) SD(s)
sample1 40 6.9 2.3
sample 2 49 5.7 1.9
The official conducts a two -sample t-test to determine whether these data provide significant evidence that students at University 1 drink more than students at University 2. The test statistics is t=2.64 with a P-value 0.005. Which of the following is an appropriate conclusion?
A) The samples provide significant evidence that students at University 1 drink more than students at university 2.
B) The samples do not provide statistically significant evidence.
C) We ca not use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university.

Answers

Answer:

Option A

Step-by-step explanation:

From the outlined data, the p value calculated was given as 0.005 which is way less than 0.05, thus we will reject the null hypothesis that there is no difference in drinking habit among students at two different universities. We can then conclude that the samples provide significant evidence that students at University 1 drink more than students at university 2.

Rebecca made an equation that models the height of a tree since she moved in. The height of the tree, h=3t+40 where H=height (in feet) and t=years. How big was the height of the tree when she moved in?

Answers

Answer:

40 feet

Step-by-step explanation:

The number of years since she moved in when she just moved in is 0,

thus, t=0

So,

H=3*0+40

H=40 feet

The height of the tree when Rebecca just moved in was 40 feet

Suppose that the exam scores for students in a large university course are normally distributed with an unknown mean and standard deviation. The scores of 42 randomly sampled students in the course are used to estimate the mean of the population. What t-score should be used to find the 99% confidence interval for the population mean? df...4041424344t0.10…1.3031.3031.3021.3021.301t0.05…1.6841.6831.6821.6811.680t0.025…2.0212.0202.0182.0172.015t0.01…2.4232.4212.4182.4162.414t0.005…2.7042.7012.6982.6952.692 Use the portion of the table above or a calculator. If you use a calculator, round your answer to three decimal places.

Answers

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

[tex]df=n-1=42-1=41[/tex]

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

Write a compound inequality to represent all of the numbers between -4 and 6.

Answers

Answer:

-4<X<6

Step-by-step explanation:

Let the number be X

Hence -4<X<6

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.

Answers

The question is incomplete:

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.

What is the administration fee?

Answer:

$60

Step-by-step explanation:

To calculate the administration fee, first you have to calculate the difference between the two permits and divide that by the month difference that is: 15-12= 3 to know the cost of the monthly fee:

$810-$660= 150

$150/3= $50

Now, you can multiply the monthly fee for 12 to know the total cost of the monthly fee for 12 months and then, subtract this from the cost of a permit purchased for 12 months to find the cost of the one-time administration fee:

$50*12= $600

$660-$600= $60

According to this, the administration fee is $60.

Gabrielle draws an angle that measures 134º.
She then draws a ray that divides the angle into two non-overlapping angles,
The measure of one angle is 85°,
Part A
Which equation can Gabrielle use to find the measure of the other angle?
A. 134° +85° = a
B 1340 + 2 = a
C. 134° -85° = a
D. 134 +90° = a
00:00
Part B
What is the measure of the other angle? Enter your answer in the box.

Answers

Answer:

134 - 85 = a

a = 49

Step-by-step explanation:

The sum of the two angles is 134

a+ 85 = 134

134 - 85 = a

49 =a

what’s the correct answer for this?

Answers

Answer:

  see below

Step-by-step explanation:

The probability a member is a girl is independent of the probability that a member plays sports if the fraction of members that are girls does not depend on whether the member plays sports or not.

That is, the fraction of members that are girls will be the same for sports players and non-sports players.

_____

Examples

(a) Suppose we have a membership that consists of ...

1 girl and 1 boy who play sports (as many girls as boys), and 1 girl who does not play sports.

We want to see if p(g) and p(s) are independent, so we compute p(g) and p(g|s).

  p(g) = 2/(2+1) = 2/3

  p(g|s) = p(g&s)/p(s) = (1/3)/(2/3) = 1/2 . . . . not independent

__

(b) Suppose we have a membership that consists of ...

1 girl and 1 boy who play sports, and 2 girls and 2 boys who don't play sports (girls are half the members who play, and half the members who don't play).

  p(g) = 3/6 = 1/2

  p(g|s) = p(g&s)/p(s) = (2/6)/(4/6) = 2/4 = 1/2 . . . . independent

__

(c) Suppose we have a membership that consists of ...

2 girls and 1 boy who play sports, and 2 boys and 1 girl who do not play sports (fraction of girl players = fraction of boy non-players)

  p(g) = 3/6 = 1/2

  p(g|s) = p(g&s)/p(s) = (2/6)/(3/6) = 2/3 . . . . not independent

__

(d) Suppose we have a membership that consists of ...

  1 girl and 1 boy who play sports, and 1 girl who does not play sports (as many girls play as do not)

  p(g) = 2/3

  p(g|s) = p(g&s)/p(s) = (1/6)/(2/6) = 1/2 . . . . not independent

__

These examples match our selection of the 2nd choice as being the one that demonstrates independence.

What’s the correct answer for this?

Answers

Answer:

the third option

Step-by-step explanation:

the union of two sets of numbers just has to show all the numbers that are in the two sets, meaning if both sets have the same number, it is only shown once in the union

answer: the third option

Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult. At one of the concerts, each adult brought 444 children with them, and 101010 children attended without an adult. The total ticket sales were \$1{,}730$1,730dollar sign, 1, comma, 730. Which of the following systems of equations can be solved to determine the number of children, ccc, and adults, aaa, who attended the concert?

Answers

Answer:

Step-by-step explanation:

Let c represent the number of children that attended the concert.

Let a represent the number of adults that attended the concert.

At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is

c = 4a + 10

Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that

5c + 8a = 1730

Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is

c = 4a + 10

5c + 8a = 1730

Answer:

c = 4a + 10

5c + 8a = 1730

Step-by-step explanation:

Express 1400 as a product of its prime factors in index form

Answers

Answer:

[tex]2^3 X5^2 X7[/tex]

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

[tex]1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\$Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7[/tex]

Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (-11, -15).

Answers

Answer:

[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

[tex]\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1[/tex]

The position of its center is:

[tex]C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)[/tex]

[tex]C(x, y) = (30,-15)[/tex]

The values for c and a are respectively:

[tex]a = 70 - 30[/tex]

[tex]a = 40[/tex]

[tex]c = 30 - (-11)[/tex]

[tex]c = 41[/tex]

The remaining variable is computed from the following Pythagorean identity:

[tex]c ^{2} = a^{2} + b^{2}[/tex]

[tex]b = \sqrt{c^{2}-a^{2}}[/tex]

[tex]b = \sqrt{41^{2}-40^{2}}[/tex]

[tex]b = 3[/tex]

Now, the equation of the hyperbola is:

[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]

Answer:

The above answer is correct but the 3 should be a 9

Step-by-step explanation:

Plato

What three numbers add up to 57, with the first number being 12

Answers

The answer is 12, 15, 30

The answer is gonna be 12 , 15 , 30

You can afford a $850 per month mortgage payment. You've found a 30 year loan at 8% interest.

a) How big of a loan can you afford?

$
Incorrect

b) How much total money will you pay the loan company?

$
Incorrect

c) How much of that money is interest?

$
Incorrect

Answers

Answer:

  a) $115,840.97

  b) $306,000

  c) $190,159.03

Step-by-step explanation:

Loan payment calculations can be done using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the loan duration in years.

a) Loan amount

The principal amount of the loan can be found by filling in the given values and solving for P.

  850 = P(0.08/12)/(1 -(1 +0.08/12)^(-12·30))

  P = 850(1 -1.0066667^-360)/0.0066667 ≈ 850×136.283494

  P = 115,840.97

You could afford a loan of $115,840.97.

b) Total paid

The total amount paid is the sum of 360 payments of $850 each:

  360 × $850 = $306,000

You will pay $306,000 to the loan company.

c) Interest

The amount of interest is the difference between the amount paid and the amount borrowed:

  $306,000 -115,840.97 = $190,159.03

$190,159.03 of the amount paid is interest.

__

Additional comment

A variety of apps, calculators, and spreadsheets can do these calculations for you. The result from one of these calculators is attached. The PV is the Present Value of the series of 360 payments of $850 each. It is the loan amount.

Does anyone know the answer?

Answers

Answer:

AB = 4.41

Step-by-step explanation:

→You are given the adjacent side and need to find the hypotenuse. For this, we use cos.

→Set it up, like so:

[tex]cos25=\frac{4}{x}[/tex]

→To get rid of the x in the denominator, multiply everything by x:

[tex]x(cos25=\frac{4}{x})[/tex]

[tex]xcos25 = 4[/tex]

→Divide both sides by cos25:

x = 4.413

→Round to nearest hundredth:

x = 4.41

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool if the drain is left open?

Answers

Answer:

72

Step-by-step explanation:

Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks.
Construct a 95% confience interval for the percentage of executives that preferred trucks. ( I know for sure that the answer is +or- 6.82%, but I need to know how to get this.)

Answers

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347[/tex]

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328[/tex]

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Kendra found this relationship between the quantities in the table.
1
3
4
2.
150
5
375
y
75
225
300
Multiply x by 7.5 to get y
Which error did Kendra make?
Kendra should have added 75 to the x-values to get the y-values
Kendra should have added 7.5 to the x-values to get the y-values
Kendra should have multiplied the x-values by 75 to get the y-values
Kendra should have multiplied the x-values by 25 to get the y-values
HELP IM TIMED

Answers

Answer:

Kendra should have multiplied the x-values by 75 to get the y-values

Step-by-step explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values

A marketing study conducts 60 significance tests about means and proportions for several groups. Of​ them, 3 tests are statistically significant at the 0.05 level. The​ study's final report stresses only the tests with significant​ results, not mentioning the other 57 tests. What is misleading about​ this?

Answers

Answer:

hello your question lacks the required options attached is a picture of the complete question

One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

Step-by-step explanation:

What is misleading about this is the study's final report because this marketing study was carried out with a level of significance of 5% (0.05) which means that if we carry the same study with varying sample data we will mostly like arrive at a conclusion against our null conclusion 5% of the time and this is not good for the the study because it is a type 1  error and has to be eliminated and it cannot be eliminated totally .

hence  One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

We are told that the marketing study conducts 60 tests and that 3 tests are statistically significant at the 0.05 level, in addition to this the study's final report emphasizes only the tests with significant results without mentioning the other 57 tests.

We can interpret it as follows:

By the 0.05 level, we mean that 5% of the tests are significant by chance when the null hypothesis is true.

Here 5% of the 60.

60 * 0.05 = 3

Therefore it only mentions 3 tests and does not mention the other 57 tests, which in itself is misleading because all 60 tests should be fully mentioned in the final report.

What’s the correct answer for this?

Answers

Answer:

Arc CR = 90 deg

=> angle CBR = 90 deg

=> angle CBV = 90 deg

=> 3x + 4 = 90

=> 3x = 86

=> x =~28.7 deg

=> Option A is correct

Hope this helps!

:)

Answer:

A: x = 28.7

Step-by-step explanation:

Since VR is the diameter and CB is bisecting it so arcVC= arcCR and

<CBV = <CBR

NOW

3x+4 = 90

3x = 90-4

3x = 86

Dividing both sides by 3

x ≈ 28.7

You took 6 math quizzes. Your scores are: 89, 96, 92, 84, 94, 100. Mrs. Edwards gave you the choice to pick the mean, median, mode or range to be your report card grade. Which one would you pick and why?

Answers

Answer:

Median. It has the highest grade.

Step-by-step explanation:

Mean: 92.5

Median: 93

Mode: no  mode (all numbers occur only once)

Range: range is 11 (this would be a terrible grade)

Because the median has the highest grade, you would want to pick it.

If you want/ need me to show work or explain just let me know

Also, if my answer helps please consider giving me brainliest.

A regular hexagonal prism has sides of 4 cm for the hexagonal bases and is 10 cm in height. Find its exact

volume. Then, quickly find the exact volume of a regular hexagonal pyramid inscribed in the prism. If you

don’t have a 3 in your answers, something’s gone wrong.

Answers

Answer:

Exact volume of the hexagonal prism = 240√3 cm³

Exact volume of the hexagonal pyramid = 80√3 cm³

Step by step explanation:

Volume of hexagonal prism = [(3√3)/2]×a²h

Where a = base edge

h = height

From the question,

a = 4cm, h = 10cm

V = [(3√3)/2]×(4)²×(10)

V = (3√3) × 160/2

V = 240√3 cm³

Exact volume of the hexagonal prism = 240√3 cm³

Volume of hexagonal pyramid = [(√3)/2]×a²h

a = 4cm, h = 10cm

V =  [(√3)/2]×(4)²×(10)

V = (√3) × 160/2

V = 80√3 cm³

Exact volume of the hexagonal pyramid = 80√3 cm³

Write a cost function for the cost c to rent a car for d days

Answers

Answer:

cost = c*d

Step-by-step explanation:

Unless the cost is calculated by the time (hours) or mileage, we can use the number of days in the calculation.

Everyday is one unit of c, so c times the number of days it is used gives us the cost. Simply multiply the number of days by cost per day to get the total cost.

50 POINTS + BRAINLIEST
Use complete sentences to describe the net of a triangular pyramid with an equilateral triangle for a base.

Answers

Answer:

The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three of them are congruent to each other.

Step-by-step explanation:

In a sociology course, the professor informed the students of a recent exam ratio of 9:7:2 for As, Bs , and Cs. If 72 students scoring C or better completed the exam l, how many students received Bs?

Answers

Answer:

28

Step-by-step explanation:

To solve this, I would first add up the total of the numbers in the ratio.

9 + 7 + 2 = 18

Then, I would divide 72 by that number.

72/18 = 4.

Finally, I would multiply that quotient by 7 because 7 is the number in the ratio for B's.

4 x 7 = 28

Determine where f(x) is discontinuous. Justify your answer.
f(x)=x^2+x-2/x-1

Answers

Answer:x=1

Step-by-step explanation:

Given

[tex]F(x)=\dfrac{x^2+x-2}{x-1}[/tex]

F(x) will be discontinuous at x=1 because value of f(x) is undefined at that point.

F(x) is defined for all values of x except at x=1

Why do we think 0! = 1?

Answers

[tex]4!=4\times3\times2\times1=24\\3!=3\times2\times1=6\\2!=2\times1\\1!=1\\0!=?[/tex]

Notice that when we go from 4! to 3! , we divide by 4.

(Because [tex]4!\div 4 = 4\times3\times2\times1\div4=3\times2\times1=3![/tex]  the 4's cancel)

And when we go from 3! to 2! , we divide by 3, and etc.

We can use this pattern to see why 0! = 1.

[tex]4!=4\times3\times2\times1=24\\3! = 4!\div4=24\div4=6\\2!=3!\div3=6\div3=2\\1!=2!\div2=2\div2=1\\0!=1!\div1=1\div1=1[/tex]

And so by following the pattern, we determine that 0! = 1

-------------------------------

Note:

There are no factorials of negative numbers, and we can use the pattern to show why:

[tex]0!=1\\-1!=0!\div0=1\div0=???!!??!?[/tex]

You can't divide a number by 0, therefore -1! doesn't exist, so -2! doesn't exist and so on. So you can't do the factorial of any negative number.

(Or at least there no real solutions to negative factorials)

------------------------

what is the following quotient? 1/1+sqrt3

Answers

Answer:

4 answer

Step-by-step explanation:

The quotient 1 / (1 + √3) is (- 1 +√3) / 2.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1 / (1 +√3)

Rationalize the denominator.

1 / (1 +√3) x (1 -√3) / (1 -√3)

{ a² - b² = (a + b) (a - b) ]

(1 -√3) / (1 - 3)

(1 -√3) / -2

-(1 -√3) / 2

(- 1 +√3) / 2

Thus,

The final expression is (- 1 +√3) / 2

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 80 patients known to this type of cancer is screened using the new method and the method failed to detect the cancer in 8 patients. At the 5% level of significance, can the researchers conclude that the new method is better than the one currently in use? (Can they conclude that the new method fails to detect cancer in less than 15% of the patients who actually have the disease?)

Answers

Answer:

A technique presently used through docs to display screen ladies for breast most cancers fails to observe most cancers in 15% of the girls who without a doubt have the disease. A random pattern of eighty girls acknowledged to have breast most cancers are to be screened the use of a new technique that researchers suppose will be capable to realize most cancers greater accurately. At the 0.05 stage of significance, the researchers will be capable to conclude that the new approach is higher than the present day one if the fantastic.

Answer::: greater than 1.645

What is the value (hundredth) of the ratio of the circumference of a circle
to its diameter?

Answers

Answer:

3.14

Step-by-step explanation:

the circumference of a circle = Diameter × π

in other words ,the ratio of the circumference of a circle to its diameter is π

and we know that π = 3.14159265358979...

if we round it to the hundredth we get 3.14

Other Questions
If an object is moving with a velocity of 24 m/s and has an acceleration of -4m/s2,how long will it take it to stop?A.-6sB.6sC.-96 sD.20s In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)? From 1985 to 2003, the total attendance A (in thousands) at NCAA womens basketball games can be modeled by =1.95^3 +70.1x^2 188+2150 where x is the number of years since 1985.a. What is the initial value of this function (the attendance in 1985)?b. Find the attendance for the year 1998. If Local Co. had an increase in selling expenses of $300,000, how would that affect each of its margins?A. Selling expenses only affect the operating margin, but the increase in such expenses will not affect the other margins.B. Selling expenses only affect the gross margin, but the increase in such expenses will not affect the other margins.C. Selling expenses only affect the net profit margin, but the increase in such expenses will not affect the other margins.D. Selling expenses do not affect the gross margin, but the increase in such expenses will decrease the other margins. 5. How did the decade-long Soviet invasion of Afghanistan help lead to the rise of al-Qaeda? A. Soviets sponsored the terrorist group.B. Bin Laden remained in Afghanistan to recruit people to fight other "enemies ofIslam."C. Al-Qaeda was created to fight the Soviet invaders.D. Bin Laden believed God was not on his side yet and needed to prove his worth. Stockholders of corporations are not affected by the loss and profit of a company. True or False On its income statement for a recent year, American Airlines Group, Inc., the parent company of American Airlines, reported a net loss of $1,834 million from operations. On its statement of cash flows, it reported $675 Real World million of cash flows from operating activities. Explain this apparent contradiction between the loss and the positive cash flows. State the effect (cash receipt or payment and amount) of each of the following transactions, considered individually, on cash flows Retired $400,000 of bonds, on which there was $3,000 of unamortized discount, for $411,000. Read this quotation. I challenge the warmest advocate for reconciliation to show a single advantage that this continent can reap, by being connected with Great Britain. . . . Our corn will fetch its price in any market in Europe. Thomas Paine, Common Sense, 1776 One argument for independence in this quotation is that Britains taxes are too high. Britain is isolating the colonies. the colonies do not need Britain. Britain is taking American property. Jeffrey loves living in the house where he grew up, but the house is starting to show its age. His latest project is to replace his kitchen countertops with granite, which he plans to pick up from the hardware store tomorrow. The granite weighs 16 pounds per square foot, and his pickup truck bed can safely hold half a ton of weight. If he also plans to pick up a 120-pound kitchen sink in the same trip, how many square feet of granite will his truck be able to carry? Kline Construction is an all-equity firm that has projected perpetual EBIT of $316,000. The current cost of equity is 12.2 percent and the tax rate is 39 percent. The company is in the process of issuing $932,000 worth of perpetual bonds with an annual coupon rate of 6.4 percent at par. What is the value of the levered firm Carolina encuentra algunas fotos de las vacaciones de su niez. Escribe las formas correctas en el imperfecto de los verbos apropiados.1)Cuando yo (1) (ser / estar) nia, mi familia y yo siempre (2) (evitar / ir) a Catalua para las vacaciones en agosto. Catalua no (3) (ser / estar) muy lejos de Valencia, y (4) (pasar / faltar) el tiempo en Barcelona y en la playa. Entonces, nosotros (5) (tener / poder) disfrutar de la vida nocturna de la ciudad, y tambin de la vida tranquila al lado del ocano. Recuerdo que mi hermana, Inma, (6) (construir / destruir) castillos en la arena. Hoy ella estudia para arquitecta! Y cada ao nosotros (7) (aprender / visitar) la famosa catedral de Gaud, La Sagrada Familia. Mis padres no (8) (gastar / ganar) mucho dinero en las vacaciones porque siempre (9) (gustar / tener) muchas facturas que pagar, pero yo siempre (10) (acostarse / divertirse). A geographic resource caintaining map collection is a(n) Water is a universal solvent because it can be a solid, liquid, or a gas * True or false?? Carmelita Inc., has the following information available: COST FROM BEGINNING INVENTORY direct materials $2,500 Conversion cost $6,200 COST FROM CURRENT PERIOD direct materials $22,252 conversion costs $150,536 At the beginning of the period, there were 500 units in process that were 60 percent complete as to conversion costs and 100 percent complete as to direct materials costs. During the period 4,500 units were started and completed. Ending inventory contained 340 units that were 30 percent complete as to conversion costs and 100 percent complete as to materials costs. (Assume that the company uses the FIFO process cost method.) The cost of completing a unit during the current period was:__________ Examples of homozygous recessive? Solve for x: 2x 8 = 6x + 4 A)1 B)2 C)3 D) 1 2 The range of which function includes -4?A y=-x-5B y=x+5C y=x+5D y=-{X-5 What imagery from this scene's setting makes Lady Macbeth seem evil?O A. HeavenB. NatureO C. DarknessD. Womanhood Classify the triangle based on its angles and sides Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary.[tex]yx^{2} +4y6=0[/tex]