Suppose we want to choose a value of x at least 5 units away from 14.A) Think about some values of x that meet this constraint.B) Write an inequality that represents all values of x that meet this constraint. Hint. no answer givenC) On the number line below, represent all values of x that meet this constraint. Clear All Draw: Line segments and raysClosed dotOpen dot

Answer: A

Step-by-step explanation:

First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.

[tex]\sqrt{x-2} =0[/tex]

When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.

Answer:

10.60%

Step-by-step explanation:

We have to solve the above we have to apply bimonial and add each one, like this:

p (x <= 3) = p (x = 0) + p (x = 1) + p (x = 2) + p (x = 3)

p (x <= 3) = 8C0 * (0.65) ^ 0 * (0.35) ^ 8 + 8C1 * (0.65) ^ 1 * (0.35) ^ 7 + 8C2 * (0.65) ^ 2 * (0.35) ^ 6 + 8C3 * (0.65) ^ 3 * (0.35) ^ 5

p (x <= 3) = 8! / (0! (8-0)!) * (0.65) ^ 0 * (0.35) ^ 8 + 8! / (1! (8-1)!) * (0.65 ) ^ 1 * (0.35) ^ 7 + 8! / (2! (8-2)!) * (0.65) ^ 2 * (0.35) ^ 6 + 8! / (3! (8-3)!) * (0.65) ^ 3 * (0.35) ^ 5

p (x <= 3) = 0.1060

therefore the probability is 10.60%

Answer:

The probability that at most 3 of the southerners believe in angels is 10.61%

Step-by-step explanation:

Given;

65% believe in angels = p

then, 35% will not believe in angel = q

total sample number, n = 8

The probability that at most 3 southerners believe in angels is calculated as;

= p( non believe in angel) or p( 1 southerner believes and 7 will not believe) or p( 2 southerner believe and 6 will not believe) or p( 3 southerner believe and 5 will not believe)

= 8C₀(0.65)⁰(0.35)⁸ + 8C₁(0.65)¹(0.35)⁷ + 8C₂(0.65)²(0.35)⁶ + 8C₃(0.65)³(0.35)⁵

= 1(1 x 0.000225) + 8(0.65 x 0.000643) + 28(0.4225 x 0.00184) + 56(0.2746 x 0.00525)

= 0.1061

= 10.61%

Therefore, the probability that at most 3 of the southerners believe in angels is 10.61%

Answer:

cbda

Step-by-step explanation:

Answer: the probability that the number x of correct answers is fewer than 4 is 0.61

Step-by-step explanation:

Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35

The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65

We want to determine P(x < 4)

n = number of trial = 9

x = 4

From the binomial distribution calculator,

P(x < 4) = 0.61

Answer:

(C) 18cm, 39cm, 21cm and 45cm.

Step-by-step explanation:

The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.

When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:

12 X 1.5 =18 cm

26 X 1.5 =39 cm

14 X 1.5 =21 cm

30 X 1.5 =45 cm

A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:

18cm, 39cm, 21cm and 45cm.

The correct option is C.

Answer:

A and A that is the answer

Answer:

Bombard means to rush, to overtake

Step-by-step explanation:

hope this helped a little !

Answer:

Rush overtake

Step-by-step explanation:

Answer:

a) 59.10% probability that 12 or fewer fish were caught.

b) 99.74% probability that 5 or more fish were caught.

c) 58.84% probability that between 5 and 12 fish were caught.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 29, p = 0.41[/tex]

So

[tex]\mu = E(X) = np = 29*0.41 = 11.89[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 2.6486[/tex]

Find the following probabilities.

a) 12 or fewer fish were caught.

Using continuity correction, this is [tex]P(X \leq 12 + 0.5) = P(X \leq 12.5)[/tex], which is the pvalue of Z when X = 12.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{12.5 - 11.89}{2.6486}[/tex]

[tex]Z = 0.23[/tex]

[tex]Z = 0.23[/tex] has a pvalue of 0.5910

59.10% probability that 12 or fewer fish were caught.

b) 5 or more fish were caught.

Using continuity correction, this is [tex]P(X \geq 5 - 0.5) = P(X \geq 4.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 4.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4.5 - 11.89}{2.6486}[/tex]

[tex]Z = -2.79[/tex]

[tex]Z = -2.79[/tex] has a pvalue of 0.0026

1 - 0.0026 = 0.9974

99.74% probability that 5 or more fish were caught.

c) between 5 and 12 fish were caught.

Using continuity correction, this is [tex]P(5 - 0.5 \leq X \leq 12 + 0.5) = P(4.5 \leq X \leq 12.5)[/tex], which is the pvalue of Z when X = 12.5 subtracted by the pvalue of Z when X = 4.5. So.

From a), when X = 12.5, Z has a pvalue of 0.5910

From b), when X = 4.5, Z has a pvalue of 0.0026.

So

0.5910 - 0.0026 = 0.5884

58.84% probability that between 5 and 12 fish were caught.

Answer: 50 MPH ON AVERAGE: ✌️

20 mph for four hours is 80 miles

200 miles divided by 4 hours is 50 mph

Answer:

50 mph :)

Step-by-step explanation:

20*4=80

280-80=200

200/4=50

answer 50 mph

Answer:

The two sample t-test

Step-by-step explanation:

The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.

With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.

Answer:

Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.

After 14 years, the amount of money in Adrina's account is calculated by:

A = P x (1 + rate)^(time)

or

A = P x (1 + 3.4/12)^(14 x 12)

or

9200 = P x (1 + 3.4/12)^(14 x 12)

=> P = 9200/[(1 + 3.4/12)^(14 x 12)]

=> P = 5791.044$

Hope this helps!

:)

The value of the account to reach $9,200 in 14 years is $5,791.

Since interest rate of 3.4% compounded monthly. And, the amount is  $9,200 in 14 years

So, the value should be

[tex]A = P \times (1 + rate)^{(time)}\\\\A = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\9200 = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\ P = 9200\div [(1 + 3.4/12)^{(14 \times 12)]}[/tex]

P = $5791

hence, The value of the account to reach $9,200 in 14 years is $5,791.

Learn more about rate here: https://brainly.com/question/14565608

Answer:

140672

Step-by-step explanation:

formula for cone volume=pi*r^2*h*1/3

80^2*3.14*21=422016

422016*1/3

=140672

Answer:

2x - 5y = 9 // standard form

y + 6 = -3 (x-1) // point slope form

y = -x + 8 // slope intercept form

Step-by-step explanation:

Answer:

It is B I think

Step-by-step explanation:

D is incorrect

Answer:

volume = 360 inches³

Step-by-step explanation:

The can itself is a cylinder. The volume of a cylinder can be calculated as follows

volume of a cylinder  = πr²h

where

r = radius

h = height

1/3 of the height was cut off that means  1/3 × 12 = 4 inches of the height was cut off.  The new height of the can will be 12 - 4 = 8 inches. Therefore,

volume = πr²h =

base area which is the area of a circle = πr² = 45 inches²

volume = 45 × 8

volume = 360 inches³

Answer:

See below

Bold parts are important parts. They are the equations.

Marina had RM24,500 to invest.

If the amount of money in the 4% account was four times the amount of money in the 5.5% account.

" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."

"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"

a = 4b

Down is the equations.

let a = amt in the 4% acct

let b = amt in the 5.5% acct

let c = amt in the 6%

"Marina had RM 24,500 to invest."

a + b + c = 24500

Replace a with 4b in both equations, simplify

b = $2000 in the 5.5% investment

a = $8000 in the 4% acct

Hope this helps.

Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

Since Marina had $ 24,500 to invest, and she divided the money into three different accounts, and at the end of the year, she had made $ 1,300 in interest, and the annual yield on each of the three accounts was 4%, 5.5%, and 6%, to determine, if the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account, the following calculation must be performed:

Therefore, Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

Learn more in https://brainly.com/question/18521069

Answer:

The slope is 2, while the y-intercept is 4. This equation represents starting with  4 cards and adding  2 cards each week.

Step-by-step explanation:

Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

We have that:

Slope

Slope, m=2.

A slope of 2 indicates that you buy 2 cards per week.

The y-intercept

The y-intercept of the line, b=4.

This is the starting value. In this case, it represents the number of cards you were given by your friend.

The slope is 2, while the y-intercept is 4. This equation represents starting with  4 cards and adding  2 cards each week.

Answer: D with the open circles at -10 and 10 with a line in between them.

Step-by-step explanation:

Since x has an absolute value sign around it this means that all the values will be positive which includes negative numbers.

Since the solution must be less than 10 we need all values under 10 which is 1-9.9 repeating. we can show the 9.9 repeating with an open circle on the value of 10. This also goes for the negative values for x as we can go up to -9.9 repeating because it will become positive.

The only graph that shows these values is D with the open circles at -10 and 10 with a line in between them.

Answer:

D

Step-by-step explanation:

Hope this helps

Answer:

Length of segment PZ = 6 units

Step-by-step explanation:

As per theorem of intersecting chords in a circle ;

"Product of lengths of line segments on each chord are equal".

From the figure attached,

Chords XY and WZ are intersecting at point P in a circle.

By theorem;  XP × PY = WP × PZ

7 × 12 = 14 × PZ

PZ = [tex]\frac{84}{14}[/tex]

PZ = 6 units

Therefore, length of the segment PZ = 6 units.

Answer:

608 (D)

Step-by-step explanation:

To find the area of the prism, just add all the areas in the nets together.  

The rectangle in the middle has an area of 192 because it is a 12x16 triangle so you multiply the sides.

Both the rectangles on the top and bottom have an area of 160 because they are both a 10x16.  The total of the 2 rectangles would be 320 because 160+160=320.

The triangles on the right each have an area of 48 because the Base=12 and the Height= 8.  The formula for finding the area of a triangle is 1/2(BH).  1/2(12*8)= 1/2(96)= 48.  There are 2 triangles like this so the totla area of both triangles is 96.

To find the surface area, you just add them all up.  96+320+192= 608

Answer: 0.5

Step-by-step explanation: I think that the answer.

Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.

(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

Just extrapolate the table to the left, and you will find the y value where x = 0

x 0 8 16 24 32

y 2 22 44 64 84

So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

y = 8/20x + 2

Answer:

(0,4)

Step-by-step explanation:

Answer:

A) The linear relation between price and demand is:

[tex]d=-550x+2750[/tex]

The revenue R is:

[tex]R=-550x^2+2750x[/tex]

B) The profit functionP is:

[tex]P=-550x^2+2750x-30[/tex]

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

We will model the relation:

[tex]d=mx+b[/tex]

We can calculate the slope m as:

[tex]m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550[/tex]

Then, replacing one point in the linear equation, we can calculate the intercept b:

[tex]d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750[/tex]

Then, the linear relation between demand and price is:

[tex]d=-550x+2750[/tex]

The revenue R can be expressed as the multiplication of the price and the demand:

[tex]R=x\cdot d=x(-550x+2750)=-550x^2+2750x[/tex]

If we have a fixed cost of $30 per month, the profit P is:

[tex]P=R-FC=-550x^2+2750x-30[/tex]

We can maximize the profit by deriving the profit function and making it equal to zero.

[tex]\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5[/tex]

This corresponds to a profit of:

[tex]P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5[/tex]

Answer:

22+2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Expanded it is

24-4[tex]\sqrt{2}[/tex]+6

This simplified leads to 22+2[tex]\sqrt{2}[/tex]

Hope this helps

Answer:

-3/2

Step-by-step explanation:

The slope can be found through the equation y2 - y1 / x2 - x1

Finding two points on this line is what we start by doing.

Two points on the line I see are (0,-4) and (2, -7)

Plugging this into the slope formula gives us -7 - (-4) / 2 - 0

Solving this gives us -3 / 2 as the slope.

Volume of the bottom rectangle:

12 x 4.5 x 5.5 = 297 cubic cm

Volume of triangle:

1/2 x 12 x 5 = 30 x 4.5 = 135 cubic cm

Total volume = 297 + 135 = 432 cubic cm

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

Answer:

1385.622

Step-by-step explanation:

A=πr2=π·212≈1385.622

hope this helped

Answer:

the mean is 20.8.

Step-by-step explanation:

Add all the numbers to get 104. Then, divide it by how many score there were, 5. 104/4= 20.8

Solution,

Given data: 17,19,19,23,26

summationfX=104

N(total no.of items)=5

Now,

Mean=summation FX/N

=104/5

=20.8

hope it helps

Good luck on your assignment