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konstantin123 [22]
2 years ago
14

Abigail plays a game in which she spins a spinner over and over again. The spinner has 4 equally sized sections labeled 1 throug

h 4. Spinning a 2 eight times means the game is over.
Abigail uses a uniform probability model to predict the number of times the spinner will be spun before the number 2 appears 8 times.

What is Abigail's prediction for the number of total spins before the number 2 appears 8 times?


32 spins

16 spins

8 spins

4 spins
Mathematics
1 answer:
Andrew [12]2 years ago
5 0

Answer:

Part 1: The option (A) is correct. The prediction of the event is 32 spins.

Part 2: Option (B) is correct. The probability of the event is 139 passwords.

Part 3: The P(yellow or blue) is 2/6.

Part 4: Option (B) is correct.

Part 5: Both options (A) and (C) are correct.

Step-by-step explanation:

please brainless

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two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of
maksim [4K]

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

  • Externally tangent circles are circles which touch each other and share a common external tangent.
  • Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
  • The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
  • 85 - 31= 54 yards which is the radius of circle B
  • To get the diameter: 54 x 2 = 108 yards

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3 years ago
In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked
GREYUIT [131]
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3 years ago
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The measure of the exterior angle is ________
masha68 [24]
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3 years ago
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Owen received $100 for his birthday. He wants to spend 2/10 of his money on a video game. He wants to spend 55/100 of his money
Dafna11 [192]

Answer:

No, Owen wants to spend 105/100 of his money.

Step-by-step explanation:

HE wants to spend 2/10, 3/10, and 55/100 or 5.5/10, but if we add up all of the numbers we would get 10.5/10 meaning he would he 5  dollars short.

7 0
3 years ago
A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian
Minchanka [31]

Answer:

Question 1:

(b) 4,445

Question 2:

(c) 2.1%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Question 1:

We have no previous estimate for the population proportion, so we use \pi = 0.5.

The sample size is n for which M = 0.015. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.015\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.015}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2

n = 4268

Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which n = 2222.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5*0.5}{2222}}

M = 0.021

So 2.1%, and the correct answer is given by option c.

3 0
2 years ago
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