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Mathematics

2 answers:

Lilit [14]2 years ago

5 0

For the first question we know that m

Feliz [49]2 years ago

4 0

Question 1:

∠KLM = 134°

∠KLN + ∠NLM = 134

47 + 16y = 134

16y = 134 - 47 = 87

16y = 87

y = $\frac{87}{16}$ = 5.4375° ≈ 5.44°

Question 2:

∠ Between Melville Road and Emerson Avenue = 118°

Given, Hawthorne Lane bisects the angle between Melville Road and Emerson Avenue.

Hence, ∠ between Hawthorne Lane and Emerson Avenue = $\frac{118}{2}$ = 59°

∠ Between Emerson Avenue and Thoreau Street = 135°

Given, Dickinson Drive bisects the angle between Emerson Avenue and Thoreau Street.

Hence, ∠ between Emerson Avenue and Dickinson Drive = $\frac{135}{2}$ = 67.5°

Hence, ∠ between Hawthorne Lane and Dickinson Drive = 59 + 67.5 = 126.5°

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$