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denpristay [2]
3 years ago
10

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If th

e soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?
Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

100 -22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940 
cupoosta [38]3 years ago
4 0

1940 ~~~~~~~~~~~~ APEX

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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
inn [45]

Answer:

b. The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

M_d=M_1-M_2=45.3-34.1=11.2

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>5.42)=0.0000002

As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.

4 0
3 years ago
the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s
ad-work [718]

The temperature of soup after 25 minutes is 135.2^{\circ}\ F

<em><u>Solution:</u></em>

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be T_0

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

T = T_0-2.3t

<em><u>To find the temperature of soup after 25 minutes, substitute t = 25</u></em>

T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2

Thus the temperature of soup after 25 minutes is 135.2^{\circ}\ F

5 0
3 years ago
2. Simplify the following expression 1 (16 (16-12)​
nikklg [1K]

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

4 0
3 years ago
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vitfil [10]

Answer:

the answer is 24

Step-by-step explanation:

because if you do 18÷3, it equals 6. then you would do 6×4=24

7 0
3 years ago
Find the equation in slope-intercept form of a line with slope -2 and y-intercept 4.
Sergio039 [100]

Answer:

D. y=-2x+4

Step-by-step explanation:

5 0
2 years ago
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