Write the ratio as a fraction in simplest form.
18
84

Answer:

[tex]\angle G=20.8\approx 21^{\circ}[/tex]

Step-by-step explanation:

Given: In ΔGHI, [tex]\angle I[/tex]=90°, IG = 6.8 feet, and HI = 2.6 feet

To find: [tex]\angle G[/tex]

Solution:

Trigonometry defines relationship between the sides and angles of the triangle.

For any angle [tex]\theta[/tex],

[tex]tan\theta[/tex] = side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]

In ΔGHI,

[tex]tan G=\frac{HI}{GI}[/tex]

Put [tex]HI=2.6 \,\,feet\,,\,GI=6.8\,\,feet[/tex]

So,

[tex]tan G=\frac{2.6}{6.8}=0.38[/tex]

Therefore, [tex]\angle G=20.8\approx 21^{\circ}[/tex]

Answer:

G=24.6236≈24.6

Answer:

[tex] z =\frac{50-64}{7}= -2[/tex]

[tex] z =\frac{43-64}{7}= -3[/tex]

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

[tex] 2.5 -0.15 = 2.35\%[/tex]

Step-by-step explanation:

For this case we have the following parameters from the variable number of motnhs in service for the fleet of cars

[tex] \mu = 64, \sigma =7[/tex]

For this case we want to find the percentage of values between :

[tex] P(43< X< 50)[/tex]

And we can use the z score formula given by:

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

In order to calculate how many deviation we are within from the mean. Using this formula for the limits we got:

[tex] z =\frac{50-64}{7}= -2[/tex]

[tex] z =\frac{43-64}{7}= -3[/tex]

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

[tex] 2.5 -0.15 = 2.35\%[/tex]

Answer: He can make 1/3 of pizza.

Step-by-step explanation: Divide 2/8 by 3/4. When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.

The required solution is  1/3.

It is required to find the remaining part to make one whole pizza.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

He has 2/8 cup of cheese.

Divide 2/8 by 3/4.

When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.

Therefore, the required solution is  1/3.

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Answer:

30 students are in the science class and 3 students recieved a failing grade.

Answer:

30, 3

Step-by-step explanation:

a. Let's call the total students x. If 40% x = 12, 0.4x = 12, x = 12/0.4 = 30 students.

b. We know that 100 - 40 - 30 - 20 = 10% of all students failed. This is 10% * 30 = 0.1 * 30 = 3 students.

Answer:

a) It can be used because np and n(1-p) are both greater than 5.

Step-by-step explanation:

Binomial distribution and approximation to the normal:

The binomial distribution has two parameters:

n, which is the number of trials.

p, which is the probability of a success on a single trial.

If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.

In this question:

[tex]n = 201, p = 0.45[/tex]

So, lets verify the conditions:

np = 201*0.45 = 90.45 > 5

n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5

Since both np and n(1-p) are greater than 5, the approximation can be used.

Answer:

Range. The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values

Step-by-step explanation:

1 T-Shirt for every 5 people

First of all, B & C are wrong, because they say 5 T-shirts for one person.

Next, we will look at A & D. A is more grammatically correct, and so you should use A.

OR

Answer:

The last one

Answer:

Solution is 4/9

Explanation:

A box contains:

2 red marbles,

3 white marbles,

4 green marbles,

1  blue marble.

=> Total:  2 + 3 + 4 + 1 = 10

After selected a blue one without replacement, the remaining number: 10 - 1 = 9

=> Probability of drawing a green one: P = 4/9.

Hope this helps!

:)

Answer:

D

Step-by-step explanation:

The one dot that is a lot farther away from the rest of the points is an outlier so the answer is D.

Answer:

Ignoring leap years, May has 31 days, a year has 365 days. 334 days of the year are NOT in May so the probability of a birthday not being in May = 334/365 = approximately 91.5%

Step-by-step explanation:

The probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -

P(A) = n(A)/n(S)

Given is a person who is randomly selected.

Assume that Event A represents that the man's birthday is not on New Year's Day.

Total number of days in a year = n(S) = 365

Total number of days not on New Year's Day = n(A) = 364

Therefore, the probability that the man's birthday is in May will be -

P(A) = n(A)/n(S)

P(A) = 364/365

P(A) = 0.99

Therefore, the probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

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Answer:

The margin of error for the​ 95% confidence interval for the population proportion is of 0.0287.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Find the margin of error for the​ 95% confidence interval for the population proportion.

We have that [tex]n = 820, p = 0.227[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.227*0.773}{820}} = 0.0287[/tex]

The margin of error for the​ 95% confidence interval for the population proportion is of 0.0287.

Answer:

Height of the pennant is 30 inches.

Step-by-step explanation:

Given that:

Area of pennant = 180 sq inches

Base of pennant = z inches

Height of pennant = (2z + 6) inches

Also, it is a triangular pennant and area of a triangle can be given as:

[tex]A = \dfrac{1}{2} \times Base\times Height[/tex]

Putting the values in above formula:

[tex]180 = \dfrac{1}{2} \times z \times (2z+6)\\\Rightarrow 360 = 2z^{2} + 6z\\\Rightarrow 180 = z^{2} + 3z\\\Rightarrow z^{2} + 3z -180 = 0\\\Rightarrow z^{2} + 15z -12z -180 = 0\\\Rightarrow z(z + 15) -12(z+15) = 0\\\Rightarrow (z + 15) (z-12) = 0\\\Rightarrow z = 12\ or\ z=-15[/tex]

Value of z can not be negative, so value of Base, z = 12 inches.

Height is given as 2z + 6 so, height = 2[tex]\times[/tex]12 +6 = 30 inches

Answer:

C.30 inches

Step-by-step explanation:

Answer:

i need points sorry

Step-by-step explanation:

nfefgrn

Answer:

Simply here we use system of 2 equations.

Step-by-step explanation:

Let x be the cost of one small shirt and let y be that of one large shirt.

(4x +14y =210) (-3)

12x +11y =110

-12x - 42y= -630 note:cross 12x and - 12x

12x +11y =110

__________

-42y +11y = - 630 +110

-31y = -520

Y=520/31

Replace y in second equation:

12x +11y =110

12x +11(520/31) =110

12x +5720 =110

12x =110 - 5720/31

X= - 385/62

So one small shirt costs - 385/62 $

And a large one costs 520/31 $

Though I think there's something wrong in this problem since i verified my answer using calculator the same prices are obtained and as u see the cost of a small shirt is negative which is unbelievable.. So plz make sure from anyone else. I tried my best to help.

The percentage 0.03% when it is written as a decimal is equivalent to 0.0003.

A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.

0.03% is equal to 0.03/100.

0.03/100 is equal to 0.0003

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Answer:

241

Step-by-step explanation:

We want to evaluate the expression:

[tex]2^8-10-15\div3[/tex]

We follow the order of operations: PEMDAS

Since there are no parenthesis(P), we evaluate the exponents(E)

[tex]2^8-10-15\div3=256-10-15\div3[/tex]

Next is Division (D)

[tex]256-10-15\div3=256-10-5[/tex]

We can then simplify since we have only subtraction.(S)

[tex]256-10-5=241[/tex]

Therefore:

[tex]2^8-10-15\div3=241[/tex]

Answer:

3 1/2 miles is 6160 yards and 3,520 yards is 2 miles

Step-by-step explanation:

Answer:

the correct option is D

Step-by-step explanation:

JK IS longer than JL

Answer:

18 units

Step-by-step explanation:

5+5=10

4+4=8

8+10=18 units

Answer:

14

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides of a rectangle. Since in a rectangle opposite sides are congruent, you just need to find the lengths of any two adjacent sides because adjacent sides cannot be opposite. Then add them and multiply the sum be 2 to account for the opposites sides.

Two find the distance between any two points, you can use the distance formula. If the two points lie on the same vertical line (both points have the same x-coordinate), or if the two points lie on the same horizontal line (both points have the same y-coordinate), then just subtract the different coordinates and take the absolute value.

PQ = |2 - 6| = |-4| = 4

QR = |2 - 5| = |-3| = 3

perimeter = 2(length + width)

perimeter = 2(4 + 3)

perimeter = 2(7)

perimeter = 14

Answer:

95% confidence interval for p, the true fraction of crimes in the area in which some type of firearm was reportedly used.

(0.59445 , 0.67155)

Step-by-step explanation:

Explanation:-

Given random sample size 'n' = 600

sample proportion

                            [tex]p^{-} = \frac{x}{n} = \frac{380}{600} = 0.633[/tex]

95% of confidence interval for Population proportion is determined by

[tex](p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} +Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} })[/tex]

Level of significance : α = 0.05

   [tex]z_{\frac{0.05}{2} } = Z_{0.025} =1.96[/tex]

[tex](0.633 - 1.96 \sqrt{\frac{0.633 (1-0.633 )}{600 }}, (0.633 + 1.96 \sqrt{\frac{0.633 (1-0.633 )}{600 }[/tex]

On calculation , we get

(0.633 - 0.03855 , (0.633 + 0.03855)

(0.59445 , 0.67155)

Conclusion:-

95% confidence interval for p, the true fraction of crimes in the area in which some type of firearm was reportedly used.

(0.59445 , 0.67155)

Answer:

As a column vector 3a +b = (9,10)

Step-by-step explanation:

A =

(2

4)

b =

(3

-2)

3a = 3*2 = 6

3*4= 12

3a + b = 6. + 3

12. +(-2)

3a +b = 9

10

As a column vector 3a +b = (9,10)

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

[tex]\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}[/tex]

[tex](Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}[/tex]

When t=0, S(t)=15

[tex]15=30+Ce^{-k*0}\\C=15-30\\C=-15[/tex]

When t = 2, S(t)=20

[tex]20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}[/tex]

Therefore:

[tex]S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22[/tex]

Answer:

4.4

4.40

Step-by-step explanation:

These two decimals above are equivalent to 4.400 because no matter the amount of zeroes, the numbers are the same. For example, 4.400 is also equivalent to 4.400000000000000000000000000000000.  As long as the  "4's" maintain the same place (ones place and tens place), the decimals will be congruent to one another.

Answer:

x=13/5

Step-by-step explanation:

Answer:

  all but the last two

Step-by-step explanation:

Rotation is a rigid transformation that moves every point of a figure through the same rotation angle about the center of rotation. Each point has the same distance from the center it had before the rotation. Hence the following are true:

__

Statements that do not apply are ...

- Segment CP is parallel to segment CP'. (A segment to the center of rotation will only be parallel to the corresponding segment on the image if the rotation is a multiple of 180°.)

- If the figure is rotated 180° about C, it will be mapped to itself. (This will be true in general only if C is a center of rotational symmetry of even order.)

Answer:

A,B,C

Step-by-step explanation:

I'm sure cause I got it right depends what your Edgenu is, mine is 2020

Answer:

Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker whose position depends on its values in the columns set on the X and Y axes

Step-by-step explanation:

Answer:

g(-2)

g(x)=2x^3 3x^2 =4

i'm not exactly sure what you are asking for but if its something like

g(x)=2x^3+3x^2-4 and then g(-2)

then you just have to multiply

2(-2)^3=-16

+3(-2)^2-4=8

=-8

2(-2)^3=-16

2(-2)^3-+3(-2)^2-4

=-32

The answer is 11x/21

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \frac{11x}{21} [/tex]

Step-by-step explanation:

[tex] \frac{4x}{7} - \frac{x}{21} \\ = \frac{12x - x}{21} \\ = \frac{11x}{21} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The correct options are;

a. False

b. True

c. True

d. False

Step-by-step explanation:

We look at each of the options as follows

a. A very high p-value is strong evidence that the null hypothesis is false;

The above statement is false because the p-value indicates the likelihood of the null hypothesis being correct, therefore, a high p-value is indicative of the correctness (truth) of the null hypothesis

b. A very low p-value shows that the null hypothesis is false

The above statement is true

c. A high p-value shows that the null hypothesis is true

The above statement is true

d. A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.

The above statement is false as the p-value below which we reject the null hypothesis is dependent on the value of the significance level, α.