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3 years ago

The box plot suggests that Olga served fewer than what number of aces during about 75% of tennis matches

Mathematics

2 answers:

mariarad [96]3 years ago

6 0

Answer:

d) 10

Step-by-step explanation:

Alecsey [184]3 years ago

3 0

Answer:

The answer is 10

Step-by-step explanation:

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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

STALIN [3.7K]

Answer: b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5 (The probability of getting heads on a fair coin is 0.5)

Significance level : $\alpha: 1-0.90=0.10\\$

Critical z-value (using z-value table ) : $z_{\alpha/2}=1.645$

Confidence interval width : w= 0.18

Thus , the margin of error : $E=\dfrac{w}{2}=0.09$

Formula to find the sample size ( if prior estimate of proportion is known.):-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Substitute the values , we get

$n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2$

Simplify ,

$n=83.5192901235\approx84$ [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0

3 years ago

The little league team called the hawks has 7 brunettes, 5 blondes, and 2 red heads. What is the ratio of red heads to the entir

natta225 [31]

2 over 14 or 1 over 7

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3 years ago

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Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea

worty [1.4K]

B because it’s the only one that doesn’t double in value

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3 years ago

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Which graph represents a function

IRISSAK [1]

Answer:

i think

Step-by-step explanation:

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3 years ago

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago