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Elena-2011 [213]
3 years ago
13

Theresa mix 3 quarts of yellow paint for every two quarts of blue paint to make the color green if she decides to use 7 quarts o

f blue paint how much yellow paint will she need?
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

She will need 10.5 quarts

Step-by-step explanation:

ratio of yellow to blue paint = 3:2

7 ÷ 2 = 3.5

3 x 3.5 = 10.5 quarts

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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
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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 linear equations by graphing, round the solution to the nearest tenth.
algol [13]
For this case we have the following system of equations:
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y = 4.9x-1.64
 When solving the problem graphically we must take into account the following:
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 2) The solution is an ordered pair of the form (x, y)
 For this case we observe that the solution is given by:
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 Note: see attached image.
 Answer:
 
The approximate solution to the system is (1.23, 4.39)

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