MATHEMATICS COLLEGE

According to a past survey, 23% of Americans have hypertension. After a stringent regimen of diet and exercise, 75 people were then tested and 18 were found to have hypertension. Based on this sample, does diet and exercise reduce hypertension? Use a significance level of 0.05.a) yesb) no

Answers

Answer 1

Answer:

Answer:No, Diet and exercise does not reduce hypertension.

Step-by-step explanation:

Since we have given that

p = 0.23

n = 75

x = 18

So, $\hat{p}=(x)/(n)=(18)/(75)=0.24$

So, hypothesis would be

$H_0:p=\hat{p}\n\nH_a:\hat{p}<p$

So, the test statistic value would be

$z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\nz=\frac{0.24-0.23}{\sqrt{(0.23* 0.77)/(75)}}\n\nz=(0.01)/(0.049)\n\nz=0.204$

At α = 0.05 level of significance, we get

critical value = 1.96

and 1.96>0.204.

so, we will accept the null hypothesis.

Hence, No, Diet and exercise does not reduce hypertension.

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these x -coordinates? (If there is only one point of intersection, give the corresponding x -coordinate.)

Answers

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are $x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333$

The sum of these x -coordinates is $(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)$

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, $3x + 27x^2=2$ and we solve for x

$3x+27x^2-2=2-2\n27x^2+3x-2=0\n\left(27x^2-6x\right)+\left(9x-2\right)\n3x\left(9x-2\right)+\left(9x-2\right)\n\left(9x-2\right)\left(3x+1\right)=0$

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

$9x-2=0\n9x=2\nx=(2)/(9)$

$3x+1=0\n3x=-1\nx=-(1)/(3)$

The solutions are:

$x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333$

The sum of these x -coordinates is

$(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)$

We can check our work with the graph of the two polynomials.

The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48

Answers

Answer:

The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60

Step-by-step explanation:

Given expression;

52 - 4 of (17 - 12) + 4 × 7

Find:

The value of given expression 52 - 4 of (17 - 12) + 4 × 7

Computation:

52 - 4 of (17 - 12) + 4 × 7

Using BODMAS rule;

52 - 4 of (17 - 12) + 4 × 7

52 - 4(17 - 12) + 4 × 7

52 - 4(5) + 28

52 - 20 + 28

80 - 20

So,

The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60

Determine which type of correlation is shown in the graphed relationship

Answers

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

Use, <, >, = to compare the following decimals.

Answers

Answer:

2.84>2.77

0.01<0.6

3.69<7.19

Step-by-step explanation:

Amy spent $22 on a magazine and fourerasers. If the magazine cost $6, then how
much was each eraser?

Answers

Answer:

Step-by-step explanation:

First, 22-6=16, this isolates how much she spent on erasers alone

Then, 16/4=4, if she bought 4 erasers each one would have cost $4

Step-by-step explanation:

5 dollars and 5 cents.

Factor each perfect square trinomial. Then, solve the equation by taking the square root of each side.Q1) x^2+14x+49=9

Q2) x^2-16x+64=144

3Q) x^2-2x+1=81

Answers

Answer:

Q2 :) hope this helps!

Step-by-step explanation:

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