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jeyben [28]
2 years ago
5

Which property is illustrated by the following? If 2(x+y)=z, then 2x+2y=z

Mathematics
1 answer:
I am Lyosha [343]2 years ago
3 0
Bracket expansion or simplifying
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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
vitfil [10]

Answer:

a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

z' = - 1.995

P(z ≤ - 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

z" = 1.995

P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

6 0
3 years ago
Solve the system of equations. x=-2y+1 and x+2y=9. PLEASE SHOW WORK
docker41 [41]

Answer:

N0 solution.

Step-by-step explanation:

x=-2y+1....(1)

x+2y=9....(2)

put equation (2) to equation (1)

-2y+1 + 2y=9

combine

-2y + 2y=9-1

0=8

No solution.

4 0
2 years ago
What is a signal 9 on a police scanner? They just said she "dropped a signal 9"
Tom [10]
It means <span>Bomb Threat Assignment...</span>
6 0
2 years ago
In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surveyed never travel using c
S_A_V [24]

Answer:

Population: Adults in the United States

Sample: 2276 adults in the United States

33% is a statistic.

Step-by-step explanation:

The population consists of adults in the United States because that is the wider range, and the sample is 2276 of those adults.

The value 33% is an statistic due to the definitions of both words. A statistic is defined as a fact or piece of data obtained from a study of a large quantity of numerical data. While a parameter is a numerical or other measurable factor forming one of a set that defines a system or sets the conditions of its operation.

5 0
3 years ago
How do I write equivalent ratios
Tatiana [17]
First you compare two things and for example there are three boys and two girls the ratio would be 3 to 2
4 0
3 years ago
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