MATHEMATICS
HIGH SCHOOL

Answer: 15 less than half a number

1/2x - 15

1/2x - 15

Answer: 100 ÷ 2 = 50

50 - 15 = 35

50 - 15 = 35

HIGH SCHOOL

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adults who attended college, 47 claim they believe in Extraterrestrials. Does this indicate that the proportion of individuals who attended college and believe in Extraterrestrials is higher than the proportion found by Harper’s Index? Use α = 0.05 for your Confidence Interval, show all steps, clearly explain your conclusion

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

COLLEGE

What is the ratio of 8 noisemakers to 6 party hats?

The ratio of noisemakers to party hats=8/6

=4/3

=4/3

The ration will be 8:6 which can be reduced to 4:3

HIGH SCHOOL

Trisha Oakley works at the telephone company. She earns an annual salary of $26,000.00. If Trisha works. 50 hours a week and is paid biweekly, how much does she earn per hour?

There are 52 weeks in a year, but since she gets paid biweekly she is paid every other week, making it only 26 weeks. this means she earns $1,000 every two weeks, or $500 every week. if she works for 50 hours a week and earns $500, she makes $10 an hour.

MIDDLE SCHOOL

2-2 practice solving two step equations

Your answer would be 0