Which answer best describes the shape of this distribution? skewed left skewed right uniform bell-shaped

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

Answer:

To do this you need to add both sides by 8. yw

Step-by-step explanation:

Answer:

The population of city A is 6,300,000.

Step-by-step explanation:

1,800,000 × 3[tex]\frac{1}{2}[/tex]

3[tex]\frac{1}{2}[/tex] is equal to 3.5

Plug in 1,800,000 × 3.5 into your calculator

= 6,300,000

Answer:

A) = m

Step-by-step explanation:

Answer:

5 times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

simplify your math.

5(7)-4

35-4

31

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Answer    "v = 1.2s"

Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..

Answer:

86

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know sorry but I recommend using quizlet

Answer:

1/12

Step-by-step explanation:

if Mr.Tough can grade 1 in 12 hours he can do 1/12

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.

Using, rate × time = work done

So, Mr Tough's rate:

Mr Tough's rate × 12 hours = final exam

Mr Tough's rate = 1/12

and, Mrs. Nice's' rate:

Mrs .Nice's' rate × 15 hours = final exam

Mrs .Nice's' rate = 1/15

So, Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

T =  final exam / (0.15)

Now, 1 hour =  final exam / (0.15)

final exam = 1 × 0.15

                = 0.15

                = 15/ 100

                = 3/20

Therefore, 3/20 fraction of the final exam.

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Answer:

786240 different license plates.

Step-by-step explanation:

The required number of plates that can be used is 2,599,974.

Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974

Thus, the required number of plates that can be used is 2,599,974.

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[tex]x-5\leq 12[/tex]

You add 5 to each side

[tex]x\leq 17[/tex]

This inequality will be correct if x is less than or equal to 17. Meaning any number less than 17 and including 17 will make the equation correct. For this reason you pick the one with a filled circle. The answer is H

Answer:

2.13kg

Step-by-step explanation:

fnet=ma

17=m(8)

17÷8 =m

2.13=m

Answer:

The mass is 2¹/₈, or 2.125, kg

Step-by-step explanation:

We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:

[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]

giving us a mass of 2¹/₈, or 2.125 kg.

Answer:

1. half angle

2. x

Step-by-step explanation:

The missing parts of the proof is the variable x.

Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.

Given,

sin² (x) = [1 - cos (2x)] / 2

We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

First, we have

sin² (x) = [1 - cos (2x)] / 2

Substituting x/2 in place of x, we get,

sin² (x/2) = [1 - cos (2x/2)] / 2

sin² (x/2) =  [1 - cos (x)] / 2

sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]

Taking square root on both sides,

sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

Hence it is proved.

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Answer: 44

Step-by-step explanation:

Answer:

Step-by-step explanation:

18in^2(3mi/in)^2

18in^2(9mi^2/in^2)

162 mi^2

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

C

Step-by-step explanation:

3(8+5)=39

3(13)=39

or

3(8)+3(5)=39

Answer:

b. 9

Step-by-step explanation:

if c = 8 and d = - 5

3( c + d)

= 3( 8 + (-5))

= 3 * 3

= 9

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

Answer:

10 x X - 5 = -13

Answer:

Step-by-step explanation:

10x-5= -13

10x= -13+5

10x= -8

x= 10/-8

x= -1.25 or 5/-4