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Otrada [13]
3 years ago
11

In the United States, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 at diagnosis with stage IV

prostate cancer, 2,337 white men and 344 black men developed a second cancer of some kind after 5 years of follow-up. What is the incidence of a second cancer in the white population
Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Answer:

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

Step-by-step explanation:

The exposure is race and the outcome is survival.  

Race   Alive    Dead           T

W       2337     3669         6006

B         344        782          1126  

Relative Risk -  1.27  

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

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Write an algebraic expression for the given quantity. Let x represent the unknown value.
Lelechka [254]

Answer:

Step-by-step explanation:

There is no equal sign.

1/2 x - 5*x

is all there is.

7 0
3 years ago
(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

  a) cos(α+β) ≈ 0.8784

  b) sin(β -α) ≈ -0.2724

Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

  sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524

  cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820

__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

  = 0.926×0.993820 -0.377524×0.111

  cos(α+β) ≈ 0.8784

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

4 0
4 years ago
Calculate the unit price ($/g) of a 20g jar of sugar. The cost of a jar is $5.00.
BlackZzzverrR [31]

Answer:

$0.25/g

Step-by-step explanation:

20g --- $5.00

1g --- \frac{1}{20} × $5.00 = $0.25

7 0
3 years ago
Claim: The standard deviation of pulse rates of adult males is less than 11 bpm. For a random sample of 132 adult​ males, the pu
seraphim [82]

Answer:

\chi^2 =\frac{132-1}{121} 114.49 =123.952

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=132 represent the sample size

\alpha represent the confidence level  

s^2 =10.7^2 =114.49 represent the sample variance obtained

\sigma^2_0 =11^2=121 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 121

Alternative hypothesis: \sigma^2

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{132-1}{121} 114.49 =123.952

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 131. And since is a right tailed test the p value would be given by:

p_v =P(\chi^2

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(123.952,131,TRUE)"

5 0
3 years ago
There are 336 students attending summer
ra1l [238]

Answer:

126 are boys

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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