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3241004551 [841]
2 years ago
12

The perimeter of a rectangle the painting is 272 cm the length of the painting is 78 cm what is the width

Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

Answer:

58

Step-by-step explanation:

Basically, your equation will look like this

2W=272-(78+78)

2W=272-156

2W=116

but now you have to divide by 2

W=58

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Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

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

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
Find a degree 3 polynomial with real coefficients having zeros 4 and 2i and a lead coefficient of 1. Write P
iren2701 [21]

Answer:

x^2 - 2xi - 4x +8i

Step-by-step explanation:

(x -4) (x -2i) (x+2i)

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3 years ago
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Sergeeva-Olga [200]

Answer:

\sqrt{5}

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In this situation a = 1, b = 2

1^{2} + 2^{2}  = c^{2}

1 + 4 = c^{2}

5 = c^{2}

c = \sqrt{5}

This is an important mathematical theorem to know. It's called the Pythagorean Theorem.

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3 years ago
What happens to the circumference of a circle when the radius is quadrupled?
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