A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.

Define the Random Variables X and P', in words. which of the following?

a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.

Answers

Answer 1

Answer:

The correct answer is c.

Step-by-step explanation:

x  represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion

P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%

P= 6.41÷458×100=1.4%


Related Questions

a red knot is flying at the average speed of 37 miles per hour. the red knot has flown 296 miles. how many hours has it been tracked

Answers

Answer:

time = distance / rate

time = 296 miles / 37 mile per hour

time = 8 hours

Step-by-step explanation:

If two angles are supplementary do they form a straight angle ?

Answers

Answer:

Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

Suppose that a scientist captures 20 fiddler crabs in a small freshwater pond and marks them before releasing them back to the pond. The following week, the scientist returns and captures 30 fiddler crabs, six of which are marked. What is the estimated size of the fiddler crab population

Answers

Answer:

100 fiddler crabs

Step-by-step explanation:

If the 30 crabs are a representation of the entire population, then 6 marked crabs in a population of 30 would mean that

6 / 30 = 0.20 or 20%

20% of the entire crab population are marked. Since we know that a total of 20 fiddler crabs are marked in the pond then we can divide this number of marked crabs by 20% in decimal form to get the estimated total size of the fiddler crab population

20 / 0.20 = 100 fiddler crabs

What is the inverse of the function f(x) = 2x+1

Answers

Answer:

The answer is b. h(x) = one-halfx – one-half

Step-by-step explanation:

Answer:

hey everyone its b!!!

Step-by-step explanation:

Find the annual percentage rate compounded continuously to the nearest tenth of a percent for which ​$15 would grow to ​$30 for each of the following time periods.
5 years
10 years
30 years
40 years

Answers

the answer is 10 years I did this before

The null and alternative hypotheses for a hypothesis test of the difference in two population means are: Null Hypothesis:mu 1 equals mu 2 Alternative Hypothesis: mu 1 is less than mu 2 Notice that the alternative hypothesis is a one-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). What is the P-value for this hypothesis test

Answers

Answer:

the P-value for this hypothesis test is 0.00215

Step-by-step explanation:

Given that;

Null Hypothesis: mu1 = mu2

Alternative Hypothesis: mu1 <  mu2

Notice that the alternative hypothesis is a one-tailed test

Now, when when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).

so, given output ( z=3.25, p[tex]_{value}[/tex]=0.0043)

since its one-tailed test

P-value for this hypothesis test = 0.0043 / 2 = 0.00215

Therefore, the P-value for this hypothesis test is 0.00215

What is the perimeter of the figure

Answers

Answer:

61cm

Step-by-step explanation:

23 + 23 + 5 + 5 + 5 = 61

hope this helps...

Answer:

The perimeter of the figure is 61 cm

Step-by-step explanation:

The Perimeter of a Shape

It's the sum of all the external side lengths of the shape.

The figure shows a compound shape made of an equilateral triangle and a rectangle.

The external sides are two sides of the triangle and three sides of the rectangle:

P = 5 cm + 5 cm + 23 cm + 23 cm + 5 cm =61 cm

The perimeter of the figure is 61 cm

Which organism does not produce an external egg as part of its life cycle? *
1 point
A dog
B turtle
C parrot
D insect

Answers

Answer:

dog

Step-by-step explanation:

Sprinters who run 100 yards now often run 100 meters.


How many meters longer to the nearest tenth is 100 meters than 100 yards?

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

On Wednesday, how many total kilograms of flour were prodľiced at plant #1 and
plant #2 combined?

Answers

Answer:

110,000 kg

Step-by-step explanation:

Just look at the kilos of flour produced on Wednesday from both plants and add them together :)

find the percentage increase of a rectangle ​

Answers

Answer:

your question is quite different. I do not understand properly

the sum of 36 and 3c​

Answers

Answer:

Step-by-step explanation:

just add 36 and 3

What is the correct expanded form and value of
5
?

Answers

The answer would be option 2

Answer:

[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]

Step-by-step explanation:

An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.

[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]

Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.

Gordon types 3,572 words in 47 minutes. Find the unit rate.

Answers

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Traveling at approximately 34,300 centimeters per
second, a sound wave would travel about how many
centimeters in 4 hours?
F. 4.94 x 108
G. 4.94 x 107
H. 8.23 x 106
J. 8.23 x 105
K 1.37 x 10

Answers

It’s F

This is because if you convert 1 second to 4 hours:

1 x 60 x 60 x 4 = 14400

14400 x 34300 = 493920000

The decimal point has moved 8 spaces to the left therefore, it is F

Hope this helps! Any questions let me know :)

what is the solution to the equation below

Answers

Answer:

x=-4

Step-by-step explanation:

Cross multiply to get:

3x=4(x+1)

3x=4(x+1)

3x=4x+4

x=-4

Answer:

x=-4

Step-by-step explanation:

cross multiply you get 3x=4x+4. solve algebraically you get x=-4

Select the correct answer.

Which expression in factored form is equivalent to this expression?

4(x2 – 2x) – 2(x2 – 3)

A. (2x − 3)(x + 1)

B. 2(x + 1)(x + 3)

C. (2x + 3)(x + 1)

D. 2(x - 1)(x – 3)



Took the test. This is the answer.

Answers

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, the expression is:

[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]

[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]

[tex]2x^2 - 8x + 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].

Hence:

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]

Hence, the expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

You can learn more about the Factor Theorem at https://brainly.com/question/24380382

The original price of a winter jacket is $280. It is on sale for 40 % off. Find the sale price.

Answers

Answer:

$168

Step-by-step explanation:

Answer:

$168

Discount amount: $112

Step-by-step explanation:

s = l - d/100 * l

s = 280 = 40%/100 * 280

s = 280 - 0.40 * 280

s = 280 - 112

s = 168

Service improves society, impacting the helpers as well as those needing assistance. It means being an active participant in one's community, taking action where it can be of benefit. Every person should make it a priority to serve at least two hours per week. It's an extremely important civic responsibility that is invaluable to citizens most in need. Service creates improved communities where people care about each other.

What are the key details from the article that should appear in its summary?

(5 points)
Group of answer choices

Service is performed by millions of Americans each year, saving tax dollars.

Service is being an active helper in the community and taking action that can be of benefit.

Service comes from those who have the time and money to not work.

Service comes from citizens who care and accept their responsibility.

Answers

Answer:

Service is being an active helper in the community and taking action that can be of benefit.

Service comes from citizens who care and accept their responsibility.

Use those

C. or D is the answer I think its D

maybe.

Please answer and explain for 15 points

Answers

Answer:

55% or 27.2 ounces

Each of 16 students measured the circumference of a tennis ball by four different methods, which were: A: Estimate the circumference by eye B: Measure the diameter with a ruler, then compute the circumference C: Measure the circumference with ruler and string D: Measure the circumference by rolling the ball along a ruler

Answers

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

Please find the complete question in the attachment file.

In point a:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=22.8[/tex]

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]

In point b:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.6875[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]

In point c:

 [tex]\to \mu=\frac{\sum xi}{n}[/tex]

         [tex]=21[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]

In point d:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.8375[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]

100 points for answer

Answers

As far as I can tell, your graph is correct.

If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.

Step-by-step explanation:

The answer of this questions is 0.5,1.5,2.5,3.5

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.

Answers

Answer:

0.25 hours

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b,

where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).

Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.

Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:

m = -4 degrees Fahrenheit per hour, b = 0. Hence:

y = -4x

The time taken to reach -1°F is gotten by substituting y = -1 and finding x:

y = -4x

substituting:

-1 = -4x

x = -1 / -4

x = 0.25 hours

0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute

Therefore at 1:15 P.M, the temperature is -1°F

Which set of ordered pairs represents y as a function of X?
A {(-3,-1), (2, -1),(5,2)}
® {(-3,-1), (2, 2), (-3,2)}
© {(-3,-1),(5,2), (-3,2)}
D {(-3,-1), (2, 2), (2,5)}

Answers

Answer:

A

Step-by-step explanation:

A. Here is why:

In a function, each x maps to exactly one value of y.

In B and C, x = -3 maps to both -1 and 2, is they are not functions.

The total cost of a jacket and a belt was $57.07. If the price of the jacket was $9.21 less than the belt, what was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer:

48.26

Step-by-step explanation:

subtract  and thats the answer its 48.26 less than the belt

Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5

A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2

Answers

Answer:

D- y=1/3x-1/2

Step-by-step explanation:

I believe that the slope needs to be opposite and the reciprocal

PLEASE HELP! Will give brainliest! Worth 30 points!

Answers

9514 1404 393

Answer:

  a) 102.4

  b) 72.6

  c) 87.5

Step-by-step explanation:

The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.

(a) The summer average is ...

  [tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]

__

(b) The winter average is similar:

  [tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]

__

(c) The annual average is the value added to the cosine function: 87.5

_____

Additional comment

The integral of the cosine function over the period of interest is ...

  ∫cos(2πx)dx = 1/(2π)sin(2πx)

For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).

When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).

Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.

Answers

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

What is the value of p2 + r3, when p = 2 & r = 3?​

Answers

answer is 13

I hope it helpful

Answer:

The value of p² + r³, when p = 2 & r = 3

(2)²+(3)³=4+27=31

31 is the right answer.

An art teacher has 16 pieces of blue chalk, 14 pieces of red chalk, and 10 pieces of yellow chalk. She
randomly gives a piece of chalk to each student in her class. What is the probability that the first
student will receive a piece of blue chalk? PLEASE ANSWER QUICKLY THANK YOU

Answers

Answer:

there is a 40% or a 16/40 chance the the student will receive blue chalk

Step-by-step explanation:

Other Questions
What is the 27th letter in the alphabet? And the 4 in Greek alphabet? 5. By about how much did average global temperatures increase from 1880 to2020?* 4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buysone-fifth of the amount of rice that Vanu buys.(a) Find the total amount of rice that Hakim and Kevin buy altogether. rob is saving to buy a new mp3 player. for every $15 he earns babysitting, he saves $8. On Saturday, Rob earned $90 babysitting. how much money did he save? What is the solution to the system of linear equations graphed below? The quotient of s and 5 David said to his friend,'' be careful while doing the project .'' Reported speech Direct to Indirect PLEASE HELP! i have by the end of the day to turn this in, PLEASE DONT GUESS at her job Jessie earns 9.75 an hour. she also earns a bonus of 80 dollars every month.Jessie needs to earn at least 500 dollars a month. create an inequality that represents this situation, where h represents the number of hours that Jessie works in a month in order to earn at least 500 dollars Which congruence theorems or postulate could be given as reason why CDE ~= OPQ if 10% of a group of children are girls, what is the ratio of girls to boys help please will give brainliest PLEASEI accidentally chose that Why is it important to organize your computer files?With a explanation If f(5+1) = f(5) + 5 , what does the formula for f(16) look like? What does it mean when Mr.Salvatori is described as dancingsmoothly and gliding "like ice cubesacross the stage"?A.Mr. Salvatori moves gracefully andwith ease.B.Mr. Salvatori is somewhat unfriendlyand serious.C.Mr. Salvatori can sing and skate at thesame time.D.Mr. Salvatori is on a hard and slipperysurface. Uncle Fred recently died and left $280,000 to his 45-year-old favorite niece. She immediately spent $80,000 on a town home but decided to invest the balance for her retirement at age 65. What rate of return must she earn on her investment over the next 20 years to permit her to withdraw $75,000 at the end of each year through age 80 if her funds earn 10 percent annually during retirement The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationshipFind the value of x and the value of y.Select the two correct answers.A y=56B. x= 14C. x=7D. y=39Ex= 9F. y = 42 which factor makes enzymes well-suited to the role of catalyst in bio chemical reaction? how did the triangular trade change the world Twelfth Night"Not yet old enough for a man, nor young enough for a boy-as a squash is before 'tis apeascod, or codling when 'tis almost an apple. "Tis with him in standing water, betweenboy and man." Who is this about and why is it important?