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LuckyWell [14K]
3 years ago
15

The probability of none will have high blood pressure if twenty percent of Americans age 25 to 74 have blood pressure .If 16 ran

domly selected Americans age 25 to 74 are selected
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

The probability that none will have high blood pressure is 0.0281

Step-by-step explanation:

The correct question is as follows;

Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure

This is a binomial problem. We shall solve in that line

The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2

The probability of failure q is thus 1-p = 1-0.2 = 0.8

The probability of none is thus;

P(X= 0) = 16C0 p^0 q^16

= 16C0 * 0.2^0 * 0.8^16 = 0.0281

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Use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​
olga2289 [7]

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

4 0
3 years ago
How can you find 27 + (-40)
Viefleur [7K]

Answer:

27 + (-40) = -13

Step-by-step explanation:

27 + (-40)

= 27 - 40

= -13

6 0
3 years ago
Read 2 more answers
Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve eac
liq [111]

Answer:

A.  x = 3.03

B.  x = 4/3

Step-by-step explanation:

A.  2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3.  Removing the parentheses, we get:  x = -0.03 = 3, or x = 3.03.

B.  The distributive property is the faster method here.  We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication:  12 + 3x = 16, or

3x = 4, or x = 4/3

7 0
3 years ago
After a 75% reduction, you purchase a new clothes dryer on sale for $125. What was the original price of the clothes dryer?
Free_Kalibri [48]
The clothes dryer would've been $500 originally :)
7 0
3 years ago
Find the
irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!

6 0
3 years ago
Read 2 more answers
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