MATHEMATICS COLLEGE

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Answers

Answer 1

Answer:

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100 =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

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After school, a student jogged from school to the library. it took the student 35 minutes to get to the library, where he spent 10 minutes browsing and checking out a book. he then walked to the coffee shop, on the same street, in 15 minutes. he spent 40 minutes sitting at a table in the coffee shop and reading the book before heading home. he walked home in 25 minutes and remain there until the next morning.

Answers

Answer:

so what are you asking exactly

Step-by-step explanation:

People who eat lots of fruits and vegetables have lower rates of colon cancer than those who eat little of these foods. Fruits and vegetables are rich in "antioxidants" such as vitamins A, C, and E. Will taking antioxidants help prevent colon cancer? A medical experiment studied this question with 864 people who were at risk of colon cancer. The subjects were divided into four groups: daily beta-carotene, daily vitamins C and E, all three vitamins every day, or daily placebo. After four years, the researchers were surprised to find no significant difference in colon cancer among the groups(a) What are the explanatory and response variables in this experiment?(b) Outline the design of the experiment. Use your judgment in choosing the group sizes.(c) The study was double-blind. What does this mean?(d) What does "no significant difference" mean in describing the outcome of the study?(e) Suggest some lurking variables that could explain why people who eat lots of fruits and vegetables have lower rates of colon cancer. The experiment suggests that these variables, rather than the antioxidants, may be responsible for the observed benefits of fruits and vegetables.

Answers

Answer:

Step-by-step explanation:

(a). The explanatory variables are the antioxidant group, the response variable is the result of the rate of colon cancer

(b)The design of the experiment is stratified Random sampling. I'll suggest there divided into equal group of 216 each.

(c). Double blind is when the people subjected to the experiment are not in the know if they're given placebo or the real antioxidant

(d) No significant difference mean, there is no convincing relationship that those that engage in using antioxidant have reduced colon cancer rate.

(e) Awareness of its history in family, age also.

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020

Answers

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, researchers conducted interviews with n = 9 frail elderly people. During the interview, each person was compared with a fictitious person who was worse off than the elderly person. The scores below are the measures from a life-satisfaction scale for the elderly sample. Assume that the average score on this scale in the population is u = 20. Are the data sufficient to conclude that the elderly people in this sample are either significantly more or less satisfied than others in the general population? The life-satisfaction scores for the sample are 18, 23, 24, 22, 19, 27, 23, 26, 25. a. Which kind of t-test should you use? b. How many tails should the test have? Circle a word or phrase in the problem that told you this. c. State the null and alternative hypotheses in statistical notation: d. Determine the critical t using an alpha = .05. Sketch the null distribution, note the location of the critical t, and shade the critical region. e. Calculate the t-statistic and plot it on the sketch you drew above. f. Make a decision (either reject the null or fail to reject it)

Answers

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

α: 0.05

Left critical value: $t_(n-1;/\alpha 2) = t_(8; 0.025)= -2.306$

Right critical value: $t_(n-1;1-\alpha /2) = t_(8;0.975) = 2.306$

$t_(H_0)= (X[bar]-Mu)/((S)/(√(n) ) ) ~t_(n-1)$

X[bar]= 23

S= 3

$t_(H_0)= (23-20)/((3)/(√(9) ) )= 3$

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

Choices :
A. 40.1 meters
B. 12.3 meters
C. 19.2 meters
D. 47 meters

Answers

Answer:

25^2=16^2 +d^2

d^2=625-256

d=19.2

option C

A cylinder has a height h, and a radius (3h-2)The area of the base is pi (3h-2)^2

The volume of the clinder is V= pi(3h-2)^2h

10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by