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MrRissso [65]
3 years ago
13

The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. Wha

t is the probability that a terminal will last 5 years or less?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

The probability that a terminal will last 5 years or less is 0.8413

Step-by-step explanation:

Given:

μ= 4 years

σ= 1 year

Z=(x-μ)÷σ

Z=(5-4)÷1 = 1

The standard normal distribution table provides the probability that a normally distributed random variable Z, with mean equal to 0 and variance equal to 1, is less than or equal to z.

For z= 1 ⇒ P(z≤1)=0.8413

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5 eggs per hen is the answee

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Angle C: 42

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3 years ago
The bottle is completely full at 11:40 a.m. Which statements help explain this result? Check all that apply. The bottle was 1/2
Delicious77 [7]

Answer:

Step-by-step explanation:

Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.

This implies it takes 5 minutes for the liquid to double.

This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.

Hence true statements would be:

1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

2)  The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.

3) Exponential growth involves a constant multiplicative rate of change.

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5 0
3 years ago
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4C. Quintin is using the three different shaped
Sauron [17]

The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

  • number of different shapes of tiles available = 3
  • number of each shape = 5
  • area of each square shape tiles, A = 2000 cm²
  • length of the floor, L = 10 m = 1000 cm
  • width of the floor, W = 6 m = 600 cm

To find:

  • the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2

Area of the floor is calculated as;

A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2

The maximum number tiles needed (this will be possible if only one shape type is used)

maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number=  60

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

3 \times \ smallest \ number  = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

Learn more here: brainly.com/question/13877427

3 0
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