A cohort study was undertaken to examine the association between high lipid level and coronary heart disease. Participants were classified as having either a high lipid level (exposed) or a low or normal lipid level (unexposed). Because age is associated with both lipid level and risk of heart disease, age was considered a potential confounder, and the age of each subject was recorded. The following data describes the study participants:Overall, there were 11,000 young participants and 9,000 old participants. Of the 4,000 young participants with high lipid levels, 20 of them developed CHD. Of the 6,000 old participants with high lipid levels, 200 of them developed CHD. In the unexposed, 18 young and 65 old participants developed CHD.1. Construct the appropriate two by two tables using the data given above. Be sure to label the cells and margins.2. Calculate the appropriate crude ratio measure of association combining the data for young and old individuals.3. Now, perform a stratified analysis and calculate the appropriate stratum-specific ratio measures of association. What are they?4. Do the data provide evidence of effect measure modification on the ratio scale? Justify your answer.

Answer:

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Step-by-step expleanation:

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Answer:

8.75

Step-by-step explanation:

if a bottle of 150 vitamins is 5.28...then that of 250 vitamins

x is the value of a single vitamin, therefore

5.25- 150

x- 1

150x divide by 5.25=0.035

therefore 250*0.035= 8.75

Answer:

it should be the last one

Step-by-step explanation:

Answer:

a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Step-by-step explanation:

a) Construct the 95% CI for the proportion of people that watched Super Bowl.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

75 out of 140 watched the Super Bowl:

This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]

The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings

48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]

⇒ [tex]Sine\theta = \frac{16}{28}[/tex]

⇒ [tex]Sine \theta=0.5714[/tex]

⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]

⇒ [tex]\theta = 34.84[/tex]

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

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Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz), where x,y,z are the dimensions, in this case

A=2(8(8)+8(10)+8(10))

A=2(64+80+80)

A=2(224)

A=448in^2

So the minimum amount of wrapping paper is 448in^2

Answer:

Mean of the numbers is 41

Step-by-step explanation:

1) You add 28 + 40 + 53 +39 +45

2) Divide whatever number by 5 because that is how many numbers there are given

In this case it would  205 divided by 5 which is how I get 41

The expression JK||GI implies line JK and GI are parallel lines

The ratio of HK : KI is 3 : 1

A ratio is used to show the relationship between two related quantities

The given parameter is:

HJ : JG = 3 : 1

Given that JK||GI , then it means that:

HJ : JG = HK : KI

This gives

HK : KI = 3 : 1

Hence, the ratio of HK : KI is 3 : 1

Read more about equivalent ratios at:

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Answer:

29

Step-by-step explanation:

Hope this helps

mark me brainlist

Answer:

27

Step-by-step explanation:

We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.

180 - 157 = 27

Answer:

so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped

Answer:

4/11 i believe

Step-by-step explanation:

Answer:

1:4

2:8

3:12

4:16

Step-by-step explanation:

Answer:

As a decimal : 27.833

As a fraction : 167/6

Step-by-step explanation:

26 + 22/12

=

26/1 + 22/12

=

26/1 + 11/6

=

156/6  + 11/6

156 + 11 / 6

=

167/6

or as a decimal 27.833

Hope this helps!

Answer:

78.5ft^2

Step-by-step explanation:

calculations done on a calculator

Answer:

78.5

Step-by-step explanation:

4 x 2.5 = 10 ft

4.5 x 2.5 = 11.25

4.5 x 4 = 18

18 + 10 + 11.25 = 39.25

39.25 x 2 = 78.5

Answer:

i need the picture

Step-by-step explanation:

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

Answer:

huh....is there a problem

......are you good-?

Answer:

The answer is 1898.37

if you click the image it will show you how to solve the equation. I hope this helps you.

Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Carly has a bank account with a balance of $3,575.

This means that [tex]P = 3575[/tex]

The account pays simple interest at a rate of 4.15%.

This means that [tex]I = 0.0415[/tex]

How long will it take for the account to grow to $7000?

[tex]T = 7000[/tex]

The interest is:

[tex]T = E + P[/tex]

[tex]E = T - P = 7000 - 3575 = 3425[/tex]

Now we have to find t.

[tex]E = P*I*t[/tex]

[tex]3425 = 3575*0.0415*t[/tex]

[tex]t = \frac{3425}{3575*0.0415}[/tex]

[tex]t = 23.1[/tex]

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

Answer: -2x+9

Step-by-step explanation:

(3

Answer:

It wasnt letting me answer so I put it in the comments but the answer is -2x+9

Step-by-step explanation:

Brainliest??

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.

This means that [tex]\mu = 30, \sigma = 2[/tex]

Sample of 400 batteries. The sampling distribution of is approximately:

So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Answer:

4.8x10

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

as C^2 = A^2 + B^2

by Pythagoras theorem

so

A^2 = C^2 - B^2

= 13^2 - 5^2

= 169- 25

144

as 12^2 is equal to 144

hence side a is equal to 12

Answer:

[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]

Answer:

distance = 9.06 units

Step-by-step explanation:

x difference = -1

y difference = -9

using the Pythagorean theorem:

-1² + -9² = d²

d² = 1 + 81 = 82

d = 9.06

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

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Answer:

you would be undoing the FOIL process

Answer:

4/5

Step-by-step explanation:

there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5

Answer:

y = 14

Step-by-step explanation:

| y + 3 | = 17

simplify:

y + 3 = 17

subtract 3 on both sides:

y + 3 - 3 = 17 - 3

y = 14