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3 years ago

14

Each month, Mrs. Donovan sets aside $1,550 for her retirement. Her monthly income, including profits from her bakery, totals $3,

875. What percentage of her income goes to retiremen

1 answer:

hram777 [196]3 years ago

3 0

Answer:

40%

Step-by-step explanation:

1550 / 3875 = 0.4 = 40%

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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

Please help me with this..

AleksandrR [38]

Answer:

f = 1

Step-by-step explanation:

Use the method of cross- multiplication

$\frac{a}{b}$ = $\frac{c}{d}$ ⇒ ad = bc, thus

20f = 5(f + 3) ← distribute

20f = 5f + 15 ( subtract 5f from both sides )

15f = 15 ( divide both sides by 15 )

f = 1

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3 years ago

There are 4 semi- trailer truck park a line at the stop. After the first truck, each in the line weights 2 tons more than the tr

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Let's say the first truck weighs x tons

Then, the weight of 2nd truck = x+2 tons

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The weight of 4th truck = (x + 4) + 2 = x+6 tons

Total weight of 4 trucks:

x + (x+2) + (x+4) + (x+6) = 32

which can be solved easily to give x = 5

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3 years ago

Farmer Joe has a rectangular pasture that is fenced in for his cattle. He bought some horses and wants to cut the pasture in hal

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Which fraction is greater between 3/8 2/8 312-6512

kolezko [41]

Answer:

Step-by-step explanation:

3/8

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4 years ago