Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.



Write a probability model for this experiment, and use the probability model to predict how many times Stacy would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places

Answers

Answer 1

Answer:

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.


Related Questions

If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

Which fraction equals a repeating decimal?
30/50
13/25
5/30
13/10

Answers

Answer:

5/30

Step-by-step explanation:

5/30 = 1/6 =0.166666666...

The fraction equals a repeating decimal is 5/30.

What are decimals?

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

Now the given fractions are,

30/50

13/25

5/30

13/10

Converting them into decimals we get,

30/50 = 0.6

13/25 = 0.52

5/30 = 0.1666..

13/10 = 1.3

Thus the repeating decimal is 0.1666..

So, the fraction with repeating decimal is 5/30 = 0.1666..

Thus, the fraction equals a repeating decimal is 5/30.

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A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.

Answers

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?

Answers

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

please answer these, it is urgent

Answers

Answer: 1 is D

2 is c

Step-by-step explanation:

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number?

Answers

Answer:

1/10

Step-by-step explanation:

there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4

If you flipped a fair coin 18 times about how many times would you expect heads to appear?

Answers

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures

Answers

Answer:

No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.

Step-by-step explanation:

:)

A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds with a standard deviation of 7.5 pounds. What are the null and alternative hypothesis in this situation

Answers

The null and alternative hypothesis for the tests are:

H0: μ = 20

Ha: μ < 20

Given data:

In this situation, the null and alternative hypotheses can be formulated as follows:

Null Hypothesis (H0): The average weight loss of consumers who take the "fat-burner" pill is equal to 20 pounds.

Alternative Hypothesis (Ha): The average weight loss of consumers who take the "fat-burner" pill is less than 20 pounds.

In symbolic notation:

H0: μ = 20

Ha: μ < 20

where μ represents the population mean weight loss of consumers who take the "fat-burner" pill.

The null hypothesis assumes that the claim made by the company is accurate and that the average weight loss is indeed 20 pounds. The alternative hypothesis challenges this claim and suggests that the actual average weight loss may be less than 20 pounds, implying that the "hype" around the pill's effectiveness might be exaggerated.

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What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46

Answers

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

Find the area of the regular polygon.

Round your answer to the

nearest tenth if necessary.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the polygon is not given.

However, I'll give a general explanation of how to calculate the area of a regular polygon.

If you follow these simple steps, you'll arrive at your answer.

The area of a polygon is calculated as thus;

A = ½(nbh)

Where A represent the area

n represents the number of sides

b represents the length of the base

h represent the height of the polygon

Take for instance, the polygon is a regular pentagon.

This means n = 5.

Also assume that the base and the height are 5cm and 7cm respectively.

This means that

Area = ½ * (5 * 5 * 7)

Area = ½ * 175

Area = 87.5cm²

Hence, the area of the polygon is 87.5cm²

Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}

Answers

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

If you roll a die three times, what is the probability of rolling three ONES?

(Give your answer as a decimal, rounded to the nearest thousandth. That is, rounded to three decimal places.)

Answers

Answer:

0.004

Step-by-step explanation:

The probability of rolling any number is 1/6 so that times 3 is 1/216 that as a decimal i 0.004

Just the 46×23 to the fourth power times 1000

Answers

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

What do you have to know before you can round a number

Answers

Answer:

if it ends in 5 then you round up but if it's less than 5 you round down

Step-by-step explanation:

You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,

hundreds place, thousands place, and so on.

After you locate the digit, look at the

digit to the right of the rounding place.

If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.

1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?

Answers

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)

Answers

Answer:

1/3

Step-by-step explanation:

The total number of marbles

10+4+7 = 21

P(blue) = blue marbles / total marbles

            = 7 / 21

            = 1/3

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)

Answers

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Answers

Answer:

B.  Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D.  Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E.  Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Step-by-step explanation:

Your question does not say, "check all that apply," but I see three possible answers.

A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.

B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.

D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.

E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

_____

Additional comment

My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.

fourteen less then the product of five and nine in numerical expression

pls help

Answers

Answer:

( 5 x 9 ) - 14

Which equals 31

Answer:

31

Step-by-step explanation:

5 x 9- 14 is 31

Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09

Answers

Answer:

$110,579.39 this is the right answer.

How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven girls?

Answers

Answer:150 branliest

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

360/(5+7)=30

30*5=150

A grocery store has an average sales of $8000 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected. It was found that the average was $8300 per day. From past information, it is known that the standard deviation of the population is $1200. The p-value is

Answers

Answer:

The p-value of the test is 0.023.

Step-by-step explanation:

In this case we need to determine whether the addition of several advertising campaigns increased the sales or not.

The hypothesis can be defined as follows:

H₀: The stores average sales is $8000 per day, i.e. μ = 8000.

Hₐ: The stores average sales is more than $8000 per day, i.e. μ > 8000.

The information provided is:

 [tex]n=64\\\bar x=\$8300\\\sigma=\$1200[/tex]

As the population standard deviation is provided, we will use a z-test for single mean.

Compute the test statistic value as follows:

 [tex]z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{8300-8000}{1200/\sqrt{64}}=2[/tex]

The test statistic value is 2.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 [tex]p-value=P(Z>2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.023[/tex]

*Use a z-table for the probability.

The p-value of the test is 0.023.


which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.

Answers

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha

Answers

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

             

568,924,126 each digit stands for what

Answers

Answer:

500,000,00060,000,0008,000,000900,00020,0004,000100206

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

  568,924,126

  = 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

     ... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

Solve each equation.
13 = -2w

Answers

Answer:

w = -6.5

Step-by-step explanation:

We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!

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