A statistical question anticipates that answers will vary. Which of these are examples of statistical questions?

A)How many computers are in the school's lab?
B)How many letters are in the word direction?
C)What are the favorite books of each member of the book club?
D)How many people volunteered to help at the community's Christmas festival?
E)How many video games were purchased last year by each student in Mr. Hill's math class?

Answer: 21+3x

Step-by-step explanation: simply distribute the three into the parentheses

Hope this helps

Answer:

21+3x

Step-by-step explanation:

you multiply 3 by 7 and then you sum it with 3 multiplied by x hope i helped

Answer:

k ≈ 0.14

Step-by-step explanation:

Given

P = 300 [tex]e^{kt}[/tex]

Substitute P = 400 and t = 2 into the equation

400 = 300 [tex]e^{2k}[/tex] ( divide both sides by 400 )

[tex]e^{2k}[/tex] = [tex]\frac{4}{3}[/tex] ( take ln of both sides )

ln [tex]e^{2k}[/tex] = ln ([tex]\frac{4}{3}[/tex] )

2k = ln ([tex]\frac{4}{3}[/tex] ) ( divide both sides by 2 )

k = [tex]\frac{ln\frac{4}{3} }{2}[/tex] ≈ 0.14 ( to the nearest hundredth )

Answer:

a. 0.4364 = 43.64% probability that the total of their scores is above 260.

b. 0.0351 = 3.51% probability that Jeff's score is higher.

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.

Sum/Subtraction between normal variables:

When two normal variables are added/subtracted, the mean is the sum/subtraction of the means, while the standard deviation is the square root of the sum of the variances.

a. the total of their scores is above 260.

Mean is the sum of the means, so:

[tex]\mu = 100 + 155 = 255[/tex]

Standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{21^2+22^2} = 30.4[/tex]

The probability is 1 subtracted by the p-value of Z when X = 260. So

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

[tex]Z = \frac{260 - 255}{30.4}[/tex]

[tex]Z = 0.16[/tex]

[tex]Z = 0.16[/tex] has a p-value of 0.5636

1 - 0.5636 = 0.4364

0.4364 = 43.64% probability that the total of their scores is above 260.

b. Jeff's score is higher.

Jeff's mean is of 100, while Pam's is of 155. The probability of Jeff's score being higher is the probability that the subtraction is above 0. The mean is:

[tex]\mu = 100 - 155 = -55[/tex]

The probability is 1 subtracted by the p-value of Z when X = 0. So

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

[tex]Z = \frac{0 - (-55)}{30.4}[/tex]

[tex]Z = 1.81[/tex]

[tex]Z = 1.81[/tex] has a p-value of 0.9649.

1 - 0.9649 = 0.0351

0.0351 = 3.51% probability that Jeff's score is higher.

Answer:

42.9

Step-by-step explanation:

There are many ways to answer this one, the most direct way would be to state that tan(65)=a/20

20tan(65)=a

Using the calculator (set in degree mode)

we find that a ~ 42.9

Answer:

I  think the answer to this is: 25q + 10d + 5n + 60 = 87

The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents).

Step-by-step explanation:

i promise

Answer:

1,A 2:C

Step-by-step explanation:

Answer:

Addition for 7

-42 + 42 = 0 by adding 42 you get rid of the -42

multiplication for number 8,

x/6 x 6 = x, always do the opposite of their operation for every question like these.

Answer:

El polinomio final es:

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

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

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

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973

Answer:

5

Step-by-step explanation:

Answer:

the mean is 5

Step-by-step explanation:

Answer:

10.1

Step-by-step explanation:

we want to find the adjacent side given the opposite side

looking through SOHCAHTOA

Tan is the appropriate angle to use

Tan 62 = opposite / adjacent

1.881 = 19 / x

x = 19 / 1.881 = 10.1

Answer:

C

Step-by-step explanation:

answer:

4 is the answer to the question

Answer:

105.3

Step-by-step explanation:

cos(70)= 36/x

x=36/cos(70)

x=105.256958406

x~105.3

Answer:

the answer is 16

Step-by-step explanation:

hope this helps

Answer:

16 Hope this helps

Answer:

[tex]\theta = 40.59^\circ[/tex]

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find [tex]\theta[/tex]

To do this, we use sine formula

i.e.

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(\theta) = \frac{10.8}{16.6}[/tex]

[tex]\sin(\theta) = 0.6506[/tex]

Take arc sin

[tex]\theta = \sin^{-1}(0.6506)[/tex]

[tex]\theta = 40.59^\circ[/tex]

Answer:

The answer is all real numbers is smaller than 2.

Step-by-step explanation:

Answer:

2x + 5.8= 45.8

Step-by-step explanation:

8x + 6x + 5x + 3x = 440

combine like terms:

22x = 440

divide both sides of the equation by 22:

x = 20

2x + 5.8= 40 + 5.8 = 45.8

Given:

The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.

To find:

The expression that describes the volume of the box.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=length\times breadth \times height[/tex]

Substituting the given values, we get

[tex]V=(w+5)\times (w+4) \times 2w[/tex]

[tex]V=(w^2+5w+4w+20)2w[/tex]

[tex]V=(w^2+9w+20)2w[/tex]

Using distribution property, we get

[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]

[tex]V=2w^3+18w^2+40w[/tex]

Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.

Note: All the options are incorrect.

Answer:

It is 3 times bigger in diameter and size.

Step-by-step explanation:

Multiply the radio transmission from  B, to A

Hope this Helps!

-kiniwih426

Answer:

3 times bigger

Step-by-step explanation:

Answer:

A. Transform circle C with a dilation that has center  C and scale factor s.

Step-by-step explanation:

Given

Circle C

[tex]radius = r[/tex]

Circle D

[tex]radius = s[/tex]

Required

Map C to D

From the question, we can assume that:

[tex]r \ne s[/tex]

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

Hence, (A) is correct

Answer:

It's C

Transform circle C with the translation that maps point Conto point D.

Answer:

B

Step-by-step explanation:

Mark me brainliest PLZ

Answer:

The volume is: [tex]135m^3[/tex]

Step-by-step explanation:

Given

[tex]h = 5m[/tex] ---- height

[tex]l=9m[/tex] -- length

[tex]w = 6m[/tex] --- width

Required

Determine the volume (V)

The volume of a triangular prism is:

[tex]V = 0.5lwh[/tex]

So, we have:

[tex]V = 0.5 * 5m * 9m * 6m[/tex]

[tex]V = 135m^3[/tex]

Answer:

---

Step-by-step explanation:

I'm not showing you all of them, but this one is very simple.

You convert the percent(25%) to a decimal(0.25), then multiply it by the whole number(24). So simple, I got it all in one sentence.

0.25x24=6

25% of 24 is 6.

---

hope it helps

Answer:

D

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

Answer:

A

Step-by-step explanation:

2 3/8=19/8=2.375

Answer:

The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.

Step-by-step explanation:

Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised.

At the null hypothesis, we test that the mean is of 14, that is:

[tex]H_0: \mu = 14[/tex]

At the alternate hypothesis, we test tha tthe mean is less than advertised, that is, less than 14. So:

[tex]H_a: \mu < 14[/tex]

The test statistic is:

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

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

14 is tested at the null hypothesis:

This means that [tex]\mu = 14[/tex]

For this, the representative randomly selects 16 bags of this brand and determines the net weight of each. He finds the sample mean to be 13.82 and the sample standard deviation to be 0.24.

This means that [tex]n = 16, X = 13.82, s = 0.24[/tex]

Test statistic:

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

[tex]t = \frac{13.82 - 14}{\frac{0.24}{\sqrt{16}}}[/tex]

[tex]t = -3[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 13.82, which is the p-value of t = -3, using a left-tailed test with 16 - 1 = 15 degrees of freedom.

With the help of a calculator, the p-value is of 0.0045.

The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.

9514 1404 393

Answer:

  2 1/2 cups

Step-by-step explanation:

A proportion says the ratio of one thing to another is the same for different amounts. Here, we want cups, so we can use the proportion ...

  cups/people = 2/12 = x/15 . . . . . where x is the number we want to find

Multiplying by 15 gives ...

  x = 15(2/12) = 5/2 = 2 1/2

You will need 2 1/2 cups of zucchini to feed 15 people with the same recipe.

Answer:

Where's the drawing? Can you include it?

Step-by-step explanation: