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kicyunya [14]
3 years ago
8

Hey how do you know of can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a h

yena runs in miles per hour?
A. 1/4 divided by 22.5 = 40
B. 22.5 divided by 1/4 = 40
C. 1/4 divided by 22.5 = 90
D. 22.5 divided by 1/4 = 90
Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

If its 1 quarter of a mile in 22.5, then we take <em>s, </em>seconds, times 4 which is 90.

SO we cross out A and B, and we're left with C AND D.  Now we check the math on them.

.25/22.5 is 0.01111111 (repeating)

and 22.5/.25 is 90!

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Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a rece
LekaFEV [45]

Answer:

  • <em><u>0.126</u></em>

<em><u></u></em>

Explanation:

<u>1. Determine the percent of people who developed dementia from the entire population. </u>

a)<u> From the percent of people who had depression</u>:

  • 10% × 22% = 2.2 %

b) <u>From the number of people who did not have depression</u>:

  • 90% × 17% = 15.3%

c) <u>Total percent:</u>

  • 2.2% + 15.3% 17.5% of all people developed dementia.

<u>2. Probability that the person suffered from depression earlier in life, if a person has developed dementia:</u>

  • percent of people who developed dementia and had depression / percent of people who developed dementia = 2.2% / 17.5% = 0.126

Note, that this can be calculated using the formula for conditional probability:

  • P(A/B) = P(A∩B) / P(B)

Where:

  • A is having suffered depression
  • B is having developed dementia
  • A∩B is having both suffered depression and developed dementia

  • P(A∩B) = 22% ₓ 10% = 2.2% = 0.022

  • P(B) = 22% × 10% + 17% × 90% = 17.5% = 0.175

  • P(A/B) = P(A∩B) / P(B) = 0.022 / 0.175 = 0.126
3 0
3 years ago
How do i divide using polynomial long division
Umnica [9.8K]
1.divide the first term of the numerator by the first team of the denominator, and put that in the answer
2. Multiply the denominator by that answer, put that below the numerator
3.subtract to create a new polynomial
3 0
3 years ago
Several surveys in the United States and Europe have asked people to rate their happiness on a scale of 3 = "very happy," 2 = "f
Rudik [331]

Answer:

Step-by-step explanation:

We have to find the reported happiness of person of family income of $25,000, $35,000 and $45,000

Given that the formula for finding relation between a people happiness and his income is

y = 0.065x - 0.613

a) find the happiness of person of family income os $25,000

we put x = 25 as in the equation above

y=0.065(25)-0.613\\\\=1.625-0.613\\\\=1.02 \approx 1

Hence, person happiness with with family income of $25,000 on a scale of 3 is y = 1

That means they come under catergory "not to happy"

b) Find the happiness of person of family income os $35,000

we put x = 35 as in the equation above

y=0.065(35)-0.613\\\\=1.667-0.613\\\\=1.667 \approx 1.7

Hence, person happiness with with family income of $35,000 on a scale of 3 is y = 1.7

That means they come under catergory "not to happy" and "fairly happy"

c) Find the happiness of person of family income os $45,000

we put x = 45 as in the equation above

y=0.065(45)-0.613\\\\=2.925-0.613\\\\=2.312 \approx 2.3

Hence, person happiness with with family income of $45,000 on a scale of 3 is y = 2.3

That means they come under catergory  "fairly happy"

8 0
3 years ago
I don’t need you to explain just answer.
Bumek [7]

Answer:

Simplify the expression.

i could not type in exponent so just open the screen shot

Step-by-step explanation:

i Hope it works

8 0
3 years ago
A solution contains 5 grams of a pure drug in 100 milliliters of solution. How many grams of pure
Artyom0805 [142]

Answer:

4.25 grams

Step-by-step explanation:

100 / 5 = 20

85 / 20 = 4.25

4.25 grams of pure drug are in 85 milliliters of a solution.

7 0
3 years ago
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