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neonofarm [45]
2 years ago
11

There are 3 seventh- grade boys,4 seventh-grade girls, 5 eighth grade boys, and 8 eight grade girls that have parts in the schoo

l play. One cast member will have the responsibility of introducing the play. That cast member will be chosen randomly. What is the probability that the student introducing the play will be a boy?
Mathematics
1 answer:
vodomira [7]2 years ago
7 0

Answer:

40%

Step-by-step explanation: 3 + 5 = 8 boys total   4 + 8 = 12 girls total   8 + 12 = 20 kids total. To find out the probability of randomly choosing a boy you have to do the number of boys over the total amount of kids (8/20) which will equal 40%.

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g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha
leva [86]

Answer:

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}  

z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

p_v =2*P(Z>2.502)= 0.0123    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.    

Step-by-step explanation:

Data given and notation    

X_{1}=410 represent the number of people indicating that their financial security was more than fair for the recent year

X_{2}=245 represent the number of people indicating that their financial security was more than fair for the year before

n_{1}=1000 sample 1 selected  

n_{2}=700 sample 2 selected  

p_{1}=\frac{410}{1000}=0.410 represent the proportion estimated of indicating that their financial security was more than fair this year

p_{2}=\frac{245}{700}=0.35 represent the proportion estimated of indicating that their financial security was more than fair the year before

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

p_v represent the value for the test (variable of interest)  

\alpha significance level given  

Concepts and formulas to use    

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+245}{1000+700}=0.385  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

Statistical decision  

Since is a two sided test the p value would be:    

p_v =2*P(Z>2.502)= 0.0123    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.    

7 0
3 years ago
I need answers for the questions in the picture
Mama L [17]
Answer: a. gregory b. linus

step by step explanation:
3 0
2 years ago
I REALLY NEED HELP!!!
Margarita [4]

Answer: She can cut 8 slices with the remaining amount of bread.

Step-by-step explanation: this is because 2/3 = 8/12

6 0
3 years ago
Read 2 more answers
Explain how to identify the restrictions on the variable when adding or
anastassius [24]

Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.

<h3>What is rational expressions and examples?</h3>

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.

To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.

  • 6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101

Learn more about rational expressions here:

brainly.com/question/9353162

3 0
1 year ago
A right triangle has a leg length of 21 inches and a hypotenuse length of 29 inches. What is the length of the other leg?​
Shalnov [3]

Answer:

20

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

21^2 + b^2 = 29^2

441 + b^2 = 841

Subtract 441 on both sides to get b^2 = 400

Take the square root of both sides to get b = 20

4 0
3 years ago
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