The angle measurements in the diagram are represented by the following expressions;

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

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

[tex]Z = \frac{49 - 46.8}{1.75}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

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

[tex]Z = \frac{48 - 46.8}{1.75}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Solution :

It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.

1. Muhammad believes that donating the amount will help him getting a income tax deduction,  but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.

2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).

Answer:

Rounded to the nearest hundredth, the volume of the cylinder is 603.19.

Step-by-step explanation:

There really isn't an explanation to this, so my apologies if you need one.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

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Answer:

Step-by-step explanation:

The volume of a cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units

When the height is doubled, the volume is doubled:

  V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

Answer: In my opinion B. 0.005 is the correct answer

Step-by-step explanation:

Answer:

15,235

Step-by-step explanation:

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Step-by-step explanation:

Okay try doing one side will be equal to length or one of those..L×W×H

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3

Answer:

choice D) x = 6.6

Step-by-step explanation:

sin 27° = 3/x

0.4540 = 3/x

x = 6.6

Answer:

11

Step-by-step explanation:

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

Answer: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

Answer:

Linear Exponential Decay.

Step-by-step explanation:

It is linear exponential decay,

it is decreasing by -7,

everytime x goes up 1, y goes down -7,

this line has a slope of -7/1.

Slope: -7x

y-intercept: (0,2)

Answer:

48

Step-by-step explanation:

Answer:

.25 in per hour

Step-by-step explanation:

you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28

Answer:

it will be 4 inches per hour

Step-by-step explanation:

to find unit rate you will divide 28 and 7 and will get 4  

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

Answer:

2 numbers are 10 units from 0

Step-by-step explanation:

2 numbers are 10 units from 0.  If you start from zero and count 10 units  to the right, you should be at a positive number.  But, you can also move 10 units to the left. If you do this, you should be at a negative number that  is ALSO 10 units away from 0, just in a different direction than positive number. both are 10 units from 0.   There always 2 numbers, one 10 units to the right of zero, and one 10 units to the left of zero. Hope this helped!  Tell me if I'm wrong or right.

Answer: 2 numbers

Step-by-step explanation:

I'm assuming you are talking about a normal number line and if so, you can count 10 units up and down.

When you do that, you find -10 and 10 which are two numbers so the answer would be 2 numbers

This is assuming that you are talking about a normal number line

Please tell me if I'm right or wrong and I hope this helps someone!

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

Answer:

11/50

Step-by-step explanation:

[tex] \frac{88}{400} = \frac{11}{50 } [/tex]

Answer:

total number of pupils = 400

number of pupils play musical instruments = 88

number of pupils who play a musical instrument as a fraction form = 88/400

in simplest form = 11/50

Answer:

120

Step-by-step explanation:

2³* 3 * 5

3*5

LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120

Answer:11

Step-by-step explanation:

There are 11 cuts to make 12 pieces on 1ft each

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

Answer:

-15

Step-by-step explanation:

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

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Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.