An exam consists of 50 multiple choice questions. Based on how much you studied, for
any given question you think you have a probability of
p = 0.70 of getting the correct answer. Consider the
sampling distribution of the sample proportion of the 50
questions on which you get the correct answer.

Answers

Answer 1

Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

[tex]\mu = p = 0.7[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213


Related Questions

Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel

Answers

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.

The Diameter of the medal is 6cm determine the radius of the medal​

Answers

Answer:

3cm

Step-by-step explanation:

the radius is half the diameter

If the diameter = 6, the radius must = 3.

Hope this helps!

- profparis

Adía swam 7 laps in a pool Kaya swam 28 laps how many times the number of laps adía swam did kaya swim circle the letter of the correct answer

A. 4

B. 21

C. 35

D. 196

Help me my sister needs help she is in 4th grade

Answers

a because 28 divided by 7 is 4, and the rest of the answers don't make sense

Name three coplanar points on plane HGD.

Answers

The plane HGD contains at least three points

The three points on the plane are H, G and D

What are coplanar points?

Coplanar points are at least three points that are in the same plane

How to name the points?

The name of the plane is given as:

Plane = HGD

The above means that points H, G and D are on the plane HGD

Hence, the three points on the plane are H, G and D

Read more about coplanar points at:

https://brainly.com/question/1593959

Three students are working to find the solution set of this system of equations:

y = 3x + 10
2y = 6x – 4

Use the drop-down menus to complete the statements about each of their methods.

Mia answer choices 1:
-Intersect
-Do not Intersect
-Are the same line

Mia answer choices 2:
-One
-Zero
-Infinetly many

Roberto answer choices 1:
-Can
-Cannot

Delmar answer choies 1:
-sometimes
-never
-always

Delmar answer choices 2:
-One
-Zero
-Infinitely many

Answers

In the equation, Mia correctly graphs the two lines and sees that they do not intersect. This means that the system has zero solution.

How to illustrate the equation?

From the complete question, Roberto correctly sees that y cannot be equal to both 10 more than three times a number and 2 less than three times a number at the same time.

Delmar correctly concludes that because 3x + 10 and 3x - 2 will never be equal, the system has zero solution.

Learn more about equations on:

https://brainly.com/question/12444483

Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.

Answers

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between AA​ and BB​ is 55​ inches.

Answers

The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².

What is of total surface area of the rectangular prism?

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A​ and B​ is 5​ inches.

The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,

[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]

The formula for surface area of one triangle prism is,

[tex]A_t=(a+b+c)l+bh[/tex]

Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,

[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]

For the two triangular prism,

[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]

Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².

Learn more about the total surface area of a rectangular prism here;

https://brainly.com/question/15456870

#SPJ1

For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.

Answers

answer:

[tex]\frac{4}{9}[/tex]


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

[tex]\frac{16}{36} = \frac{4}{9}[/tex]

--

if this helped, please consider giving brainliest !

A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? A. ​: ​: B. ​: ​: C. ​: ​: D. ​: ​: Part 2 The test​ statistic, t, is enter your response here. ​(Round to two decimal places as​ needed.) Part 3 The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 ​(Round to three decimal places as​ needed.)

Answers

There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.

How to illustrate the hypothesis?

From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.

In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.

Learn more about hypothesis on:

https://brainly.com/question/15980593

i need help please !!

Answers

Answer:

22x + 155

Step-by-step explanation:

9(x-3)+ 13(x+14)    use distributive law

9x - 27   + 13x + `182    gather 'like' terms

(9x+13x)  + ( -27+ 182)  simplify

22x + 155

The to the question is B

Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no
solution
Enter integers or expressions to complete the solution.
6x + 4x – 1 = 2(5x + 4)
6x + 4x -1= 5x +
1 • 5x+]•4
x-1= X+8
10x - 1x - 1 = 10x -x+8
(Simplify your answers.)
Enter your answer in the edit fields and then click Check Answer.
CHEN
1
part
remaining
OP
Question
Back
Next →
Review progress

Answers

Answer:

no solution

Step-by-step explanation:

6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis

10x - 1 = 10x + 8 ( add 1 to both sides )

10x = 10x + 9 ( subtract 10x from both sides )

0 = 9 ← not possible

this indicates the equation has no solution

Help I think it’s probably D

Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?

A ) 162 3 cm^2

B ) 324 3 cm^2

C ) 648 3 cm ^2

D ) 1296 3 cm ^2


Answers

Answer:

B

Step-by-step explanation:

i took the test and got a 100% so ys that the answer.

Answer:

B

Step-by-step explanation:

"lateral" means "belonging to the side".

so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.

so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).

each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).

that means both side angles are 60° each.

and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is

180 - 60 - 60 = 60°

hey, all 3 angles are the same !

that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).

and that means all sides are 18 cm long.

the area of a triangle can be calculated for our scenario in 2 major ways :

1. baseline × height / 2

2. Heron's formula (since we know all 3 sides) :

A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2

I don't know which one your teacher wants you to use.

so,

1.

the height we get via Pythagoras

leg² = (baseline/2)² + height²

18² = (18/2)² + height²

324 = 81 + height²

81×4 = 81 + height²

81×3 = height²

height = sqrt(81×3) = 9×sqrt(3)

the area of the triangle is

18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²

2.

s = (18+18+18)/2 = 54/2 = 27

A = sqrt(27(27-18)(27-18)(27-18)) =

= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²

the total lateral area is then

4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²

oh, I see, i think you did not include the square root in the answer options. that is confusing.

but as you can see, option B must be correct.

i need help with this algebra question

Answers

Answer:

[tex]m=\frac{6}{7}[/tex]

Step-by-step explanation:

[tex]m=\frac{10-4}{9-2}=\frac{6}{7}[/tex]

Answer:  [tex]\frac{6}{7}[/tex]

Explanation:

In the numerator we have [tex]y_2 - y_1 = 10-4 = 6[/tex] to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.

The denominator has [tex]x_2 - x_1 = 9-2 = 7[/tex] to represent the run. It is the horizontal change, or how much we go to the right.

We go up 6 and to the right 7 to have a slope of [tex]m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}[/tex]

Here's how you can show the steps

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}\\\\[/tex]

Note: To write [tex]\frac{6}{7}[/tex] on the keyboard, you can type 6/7

Application of Geometric Series

Answers

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  [tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]

Then the value of the entire given expression is ...

  [tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]

_____

A calculator can help you find the value.

What whole number should replace C so that the
three values are in ascending order?
27%, С/10, 0.36

Answers

Answer:

3

Step-by-step explanation:

3/10 = .3

Express 10/1,000 as a decimal​

Answers

answer: 0.01

just count how many zeroes are in 1000 (3) and then move 3 times to the left which gives you 0.01

Answer:

0.01

Step-by-step explanation:

hope this helps -_-

solve for x


plss help​

Answers

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

If a student does not like ballet, what is the probability that student also does not like salsa?

Answers

like salsa              hate salsa               total

like ballet                       32                         42                          74  

hate ballet                      22                           4                          26

total                                54                         46                         100

if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...

4/26 = 0.1538 = 15.38% rounds to 15.4% <=

Find the surface area of a square pyramid with side length 2 km and slant height 2 km

Answers

given:

side length 2 km and slant height 2 km.

to find:

the surface area of the pyramid.

solution:

area of 4 triangle= 1/2 × 2 × 2 × 4

= 8km

area of rectangle= 2×2

= 4km

area= 4+8

= 12km

so, the surface area of the pyramid is 12km.

The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?

Answers

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.

Contort 39 to base five​

Answers

25 because the prism the blcok thr still and the mathematic 24/7 -3 power of 3

Jason bought 3 shirts that each cost the same.He has a coupon for $10 off and he spent $65 altogether.Which equation can be used to find the cost of each shirt

Answers

Answer:

3x-10=65

Step-by-step explanation:

So, since he used the coupon, you can do 65+10=75.

The cost before the coupon is 75.

The cost of each shirt is 75/3, but that doesn't solve the question.

You can do (assume each shirt's cost is x)

3x-10=65

I could give more in depth but I can't see the options, sorry!

Answer:

(65+10) / 3= x

x would equal what each shirt costs

Step-by-step explanation:

NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9

Answers

Answer:

relationship: inverseequation: y = 25/x

Step-by-step explanation:

You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.

__

The equation should be written so that y is a function of x:

  [tex]\boxed{y=\dfrac{25}{x}}[/tex]

The x in the denominator clearly shows that y is proportional to the inverse of x.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values can be calculated by dividing 25 by the x-value.

[tex]\sf y=\dfrac{25}{x}[/tex]

40 points for this question!!!

Answers

Answer:

Never

Step-by-step explanation:

It should be never since as the value of x increases, so does y.

If the y value increases as x increases, the function is said to be increasing.

If the y value decreases as x increases, the function is said to be decreasing.

triangle ABC is circumscribed about circle touching the circle at P,Q,R . if AP=4 cm, BP=6cm, AC=12cm, then find the radius of the circle.​

Answers

Sorry i dont think i can help with this nothings coming up for me

what is the measurement of angle p a 36B 64 c116 D 244​

Answers

Answer:

b 64

Step-by-step explanation:

because p is just a mirror of o ,and o =64

Find the value of 2^-3​

Answers

Answer:

Exact form would be 1/8

and the decimal form is 0.125

Answer:

2^-3=1/8=0.125

Step-by-step explanation:

We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number

We get 2^-3 = 1/(2^3)

and 2^3=8

so we get 2^-3= 1/8 =0.125

i will give brainliest please help

Answers

Determining which numbers are less than 5:

A number less than 5

⇒ x < 5

When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.

⇒ 2, 3, and 4

Reviewing the formula to calculate probability:

[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]

Substituting the values in the formula:

[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]

     [tex]\bullet \ \text{Total numbers less than five: 3}[/tex]

     [tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]

[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]

Final answer:

Option B is correct.

Group b.. pls help me​

Answers

Answer:

Step-by-step explanation:

m∠ABC + m∠BAC + m∠ACB = 180°

a + 2a + 6a = 180°

9a = 180°

a = 20°

m∠ABC = 20°

m∠BAC = 2 × 20° = 40°

m∠ACB = 6 × 20° = 120°

A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How many eggs will be left over?

Answers

Answer:

~181 containers filled completely, 6 eggs left over

Step-by-step explanation:

2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers

181 × 12 = 2,172 eggs

2,178 eggs - 2,172 = 6 eggs left over

Other Questions
Select the expression that is equal to 12(6+x)31x84x18+12x72+12x18+13xI don't know What is one effective use of pacing during a speech? Pls help a meteorologist reports an 20 change in a temperature from yesterday to today explain what this could mean what value of x is in the solution set of 8x-6>12+2x The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer. what are the impacts of bullying?pls write a small essay about it and DONT COPY OFF SOMEONE ELSE OR GOOGLlE Laws that concern grouping individuals by race are subjected to which of the following?A. the rational basis testB. strict scrutinyC. intermediate scrutinyD. none of the above i need help on this ASAP Please drag the correct box to the words. I need this done today which one is a vertical line through the point (3;5) You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost? HELP!!! ASAP!!! construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice You have a really bad day at work because your boss was yelling at you and then you come home and yell at your wife for not having the dinner ready, you may be engaged in which defense mechanism?a. Displacementb. Intellectualizationc. Regressiond. Rationalization 14 mF. 2,352 mG. 1,476 mH. 392 mI. 261.3 m7 m24 m25 m Christina read 7 pages in a magazine she read 5 times as many pages in a book how many pages did christina read altogether I need help my sister needs help and she is in 4th grade and I am in 10th so I dont know how to do her homework Which of these is inorganic? answers are A. LeavesB. EarthwormsC. mineralsD. bacteria Nathan calculated his companys economic order quantity and categorized all production costs. One cost was related to the cost of storing milk in the freezers, and another cost was related to the insurance expenses that covered the companys inventory. To which cost category would Nathan assign these costs? calculate the pressure in atmospheres of 1.92 moles of helium gas in a 10.0L container at 25C hard question help!!!! PART B: Select TWO details from the text that show Gordon Low's and the other men's different reactions to the dog.A "They held him in the same awe in which they had held his master;" ( Paragraph 5)B "Gordon Low laughed at the stories they were telling," ( Paragraph 10)C "It is not safe to talk so of a demon dog." ( Paragraph 11)D "That dog has a demon in him. He would eat you in the night." ( Paragraph 11) E "'Yes, it's mighty glad I'd be to own that hound!' he repeated." ( Paragraph 12) F "Low felt himself unaccountably frightened" ( Paragraph 15)Source : THE WILD DOG OF CAUCOMGOMOCby Charles Boardman Hawes