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Marysya12 [62]
2 years ago
8

Laboratory tests show that the lives of

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
6 0
<h3>Answer:  34%</h3>

This result is approximate.

=========================================================

Explanation:

mu = 750 = mean

sigma = 75 = standard deviation

The raw scores or x values are x = 750 and x = 825

Let's compute the z score for each x value

z = (x - mu)/sigma

z = (750 - 750)/75

z = 0

and

z = (x - mu)/sigma

z = (825 - 750)/75

z = 1

Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.

Use a z score table to determine that

P(z ≤ 0) = 0.5

P(z ≤ 1) = 0.84314 approximately

So,

P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)

P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)

P(0 ≤ z ≤ 1) = 0.84314 - 0.5

P(0 ≤ z ≤ 1) = 0.34314 approximately

The value 0.34314 then converts to 34.314% which rounds to <u>34%</u>

Or you could use the empirical rule as shown below. The pink section on the right is marked <u>34%</u> which is approximate. This pink section is between z = 0 and z = 1.

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A supply company manufactures masks and ventilators for hospitals. To maintain hugh quality, the company should not manufacture
notsponge [240]

Answer:

20 masks and 100 ventilators

Step-by-step explanation:

I assume the problem ask to maximize the profit of the company.

Let's define the following variables

v: ventilator

m: mask

Restictions:

m + v ≤ 120

10 ≤ m ≤ 50

40 ≤ v ≤ 100

Profit function:

P = 10*m + 65*v

The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:

point          Profit function:

(10, 100)    10*10 + 65*100 = 6600

(20, 100)    10*20 + 65*100 = 6700    

(50, 70)      10*50 + 65*70 =  5050

(50, 40)     10*50 + 65*40 = 3100

(10, 40)      10*10 + 65*40 =  2700

Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.

4 0
3 years ago
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Step-by-step explanation:

5 0
2 years ago
Which is one way to check 102 ÷ 6 = 17
Nikolay [14]
The answer is B. 100/5=20 hope i helped

3 0
3 years ago
23. Points X(6, 8), Y(3, 3), and Z(13, -3)<br> form a triangle. What is the area of<br> XYZ
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110 square units.

Step-by-step explanation:

Points X6,8 Y3,3 , and Z13,-3 form the triangular outline of a park. What is the area of △ XYZ ? area of △ XYZ=  110 square units.

8 0
2 years ago
Express 1400 as a product of its prime factors in index form
exis [7]

Answer:

2^3 X5^2 X7

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\$Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7

7 0
3 years ago
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