What is the value of x?

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p

The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p

The standard score, [tex]z_{\alpha /2}[/tex] = 1.96

The test statistic, 'z', is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

[tex]\hat{p}[/tex] = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Answer:

its the 3rd one

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.

We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.

Answer is 2 * 3 * 2 = 12

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

Answer:120 and 160

Step-by-step explanation:

i did it

80° and 160° could be a measure of one of the resulting angles.

Two rays intersect to form a angle. The point of intersection is called the vertex point.

Given is that  two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.

There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.

Therefore, 80° and 160° could be a measure of one of the resulting angles.

To solve more questions on angles visit the link below-

brainly.com/question/1041084

#SPJ6

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

Answer:

THE ANSWER SHOULD BE D OR B

Step-by-step explanation:

I DON'T KNOW

Answer:

obviously 16 books....

Answer:

False

Step-by-step explanation:

You can use test intervals and critical numbers to solve quadratic and rational inequalities.

Answer:

It's C. g(x) = (1.6)x − 9 + 5

Step-by-step explanation: hope it helps ^w^

Answer:

(1,5)

Step-by-step explanation:

Hope this is right.

Answer:

It's (1,0)

Step-by-step explanation:

I got it right on the quiz

Answer:

it got to be b 2:2

Answer:

27

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that [tex]P(A) = 0.45[/tex]

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that [tex]P(B|A) = 0.8[/tex]

What is the probability that the land has oil and the test predicts it?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]

0.36 = 36% probability that the land has oil and the test predicts it

Answer:

The probability that the land has oil and the test predicts it is 36%

Step-by-step explanation:

So option  C.  0.36 is correct for plato users

Answer:

Hope this will help you.

Explanation is given in the above photo.

Answer:

Option E, two-proportion z test  should be used to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month

Step-by-step explanation:

The complete question is

In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past

month. In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that

they had been to a movie in the past month. What significance test should be used to determine whether these data provide sufficient

evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same

as the proportion of shoppers in a large downtown shopping area who had been to a movie in the past month?

A one-proportion z interval B two-proportion z interval

B two-proportion z interval

C two-sample t test D one-proportion z test

D one-proportion z test

E two-proportion z test

Solution

Two proportion z test is used to compare two proportions. In this test the null hypothesis is that the two proportions are equal and the alternate hypothesis is that the proportions are not the same. The random sample of populations serve as two proportions.

Hence, option E is the best choice of answer

Answer:

9 weeks

Step-by-step explanation:

used a calculator really easy

Answer:

£39.95

Step-by-step explanation:

multiply it by £7.99×5

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

Answer:

all of them 1/3 is irrational

Step-by-step explanation:

Answer: 50000000000 is your answer.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I replaced the missing variable with x and solved the equation from there.

Answer:

10.75

Step-by-step explanation:

i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5

PHEWW