Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. The probability that a randomly chosen death is a white person who died of diabetes is about:____

Answers

Answer 1

Answer:

The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.

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.

In this question:

Event A: The person is white

Event B: Died of diabeters.

Of people who died in the United States in recent years, 86% were white

This means that [tex]P(A) = 0.86[/tex]

Diabetes caused 2.8% of deaths among whites

This means that [tex]P(B|A) = 0.028[/tex]

The probability that a randomly chosen death is a white person who died of diabetes is about:

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

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

[tex]P(A \cap B) = P(B|A)*P(A) = 0.028*0.86 = 0.0241[/tex]

The probability that a randomly chosen death is a white person who died of diabetes is of 0.0241 = 2.41%.


Related Questions

Whats your zodiac sign?

Answers

Answer:

cancer the worst

Step-by-step explanation:

Pisces ✨✨✨✨✨✨✨✨✨✨ lol

Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.
How does Craig's amount of candy compare to Wendy's amount of candy?
yes

Answers

Craig has 1 pound of more candy than Wendy does because if each bag is one pound, and if Craig has 6 bags, and Wendy has 5, then it’ll be 6-5=1.

Write a division equation that represents the question: how many (3/8)s are in (5/4)
i need answers

Answers

Answer:

5/4 ÷ 3/8

Step-by-step explanation:

Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120

Answers

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

Read related link on:

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HELP PLEASE WILL GIVE BRAINLIST

Answers

You multiply the radius by 2 and then multiply that by pi(3.14)so your answer would be 31.4
The answer is 31.4 hope it helps!!!

Help, ill give brainliest to those who answer first and those who answer accurately

Answers

Answer:

d

Step-by-step explanation:

30 cm. I hope this helps!

3x + y = 19
2x - y = 6​

Answers

Answer:

Step-by-step explanation:

(x,y)=(5,4)

helpppppppppppppppppppppppppppp

Answers

Hi the answer should be 4

In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.

Answers

Answer:

30 is the ratio

Step-by-step explanation:

-_-

HELP ITS REALLY URGENT

Answers

Answer/Step-by-step explanation:

a. m<h = x°

Two angles to use in finding x are <h and 55°

Angle pair formed: linear pair angles

b. x° + 55° = 180° (linear pair)

Subtract 55° from each side

x + 55 - 55 = 180 - 55

x = 125°

c. Given: m<n = y°

Two angles to use in solving for y are: <h and <n

Angle pair formed: alternate exterior angles

d. m<n = y° (given)

m<n = x° = 125° (as solved in 2b)

Therefore:

y = x (alternate exterior angles are congruent)

thus:

y = 125° (substitution)

232. Сколько решений имеет уравнение | х + 3 | -один?

Answers

Answer: уравнение имеет 2 решения:

              x₁ = - 4;    x₂ = - 2.

Step-by-step explanation:

Ix + 3I = 1

1) x + 3 = 1

  x + 3 - 3 = 1 - 3

  x = -2

2) - (x + 3) = 1

   x + 3 = - 1

   x + 3 - 3 = - 1 - 3

   x = - 4

hey i need help!!!!!!​

Answers

21% 2x10+1 21=21/100 so 21%

Answer:2.10%

Step-by-step explanation:

2 is the whole number with 1/10 being also = to 10/100s

find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!

Answers

The answer is 377.2

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?

Answers

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

Brainliest :)
(Score for Question 3: ___ of 5 points)

(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report

Answers

Goron should get 98 votes

 

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.

Answers

Answer:

x = 21 and y = 3

Step-by-step explanation:

We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:

One number is six more than five times another number.

x = 5 y + 6

the sum of the numbers is 24

x + y = 24

solve for x in the second equation:

x = 24 - y

Use this to replace x in the first equation:

24 - y = 5 y + 6

add y to both sides

24 = 6 y + 6

subtract 6 from both sides to isolate the term in y

18 = 6 y

divide both sides by 6

y = 3

And now we can find x using:

x = 24 - y = 24 - 3 = 21

Therefore, x = 21 and y = 3

Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.

Answers

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

How to calculate margin of error for difference in proportion to find the margin of error ?

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

Using the given data to get the margin of error

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

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Answers

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

What is 13/20 as a part to part ratio

Answers

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.

Answers

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min

hello can anyone help me with this one questions?

Answers

Answer: c

Step-by-step explanation:

i am really stuck in this one so help?

Answers

Answer: 7

Step-by-step explanation:

15-8 is 7

Which expression is equivalent to (8x - 1) (4x + 3) ?

Answers

Answer:

A

Step-by-step explanation:

multiplying both the equation

you drive a car 45 miles at spd r (mph). on return trip, spd is 3/4 r. the round trip took 1 hr 45 min. find avg speed

Answers

Answer:

the agv speed is 223

Step-by-step explanation:

Answer:

51.42 avg mph

Step-by-step explanation:

45+45 = 90 miles total for 1 3/4 hours

90/.75 = 51.42 avg mph

there are 2918 male workers in a factory. There are 1264 fewer male than female workers. HOW MANY MALE AND FEMALE WORKERS ARE THERE IN THE FACTORY ALTOGETHER?

Answers

So you add 2,918+1,264=4,182

Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points

Answers

Answer:

3p = 7.50 its something like that but hoped this helped

Step-by-step explanation

7.50 divided by 3

2.50

p= 2.50

Which ordered pair is a solution? Select all that apply
y + 3 = 4 (x - 7)
(5, 5)
(10, 9)
(8, 1)
(-1, 5)

Answers

Answer:

(10, 9) and (8, 1)

Step-by-step explanation:

you can just use substitution

If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes

Answers

Answer:

no its not

Step-by-step explanation:

5. Which of the following is a pair of alternate exterior angles?
Angles 1 and 4
Angles 2 and 8
Angles 1 and 7
Angles 4 and 7

Answers

It angles 1 and 7 good luck

Answer: angle 1 and 7

Step-by-step explanation: you just do it

Answer the question plz

Answers

6. 180 - 50 - 35 = 95
7. 360 - 70 - 80 - 85 = 125

Answer:

1) A- 95

2) B-  125

Step-by-step explanation:

1) 50 + 35+x = 180

85 +x = 180

x = 180- 85

 = 95

2) 70 +80 + 85+d = 360

235 + d = 360

d = 360 - 235 = 125

I Hope im right!

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