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3 years ago

PLZ HELP 20 POINTS Twenty-five percent of the data falls below the number

Mathematics

1 answer:

natta225 [31]3 years ago

7 0

With finding the data that falls below a percentage, you need to look closely at the words.

Notice that it said 25% of... that word "of" means to multiply. But, what are you multiplying? Well, if you look more closely at the plot, you'll see that your dot and line is lying on 58. But make sure you put 25 over 100.

So, your equation would be set up like this: 58 ÷ x = 100/25
We're using "x" as our way of saying, "We need to find out this number."

After that, we'll need to multiply both sides of the equation by "x"

(58 ÷ x) × x = (100/25) × x

Now that you have your equation, you'll need to divide both sides by 4 to get "x".

x = 4 ÷ 58

58 ÷ 4 = 14.5

Your answer is 14.5 of the data that falls below the number.

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A local company makes snack-size bags of potato chips. Each day, the company produces batches of 400 snack-size bags using a pro

ioda

Answer:

Probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

Step-by-step explanation:

We are given that the company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounce.

Also, sample of 40 bags are selected.

Let $\bar X$ = sample average weight

The z-score probability distribution for sample mean is given by ;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean weight of potato chips = 2 ounces

$\sigma$ = standard deviation = 0.1 ounces

n = sample of bags = 40

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the probability that a sample of 40 bags has an average weight of at least 2.02 ounces is given by = P( $\bar X$ $\geq$ 2.02 ounces)

P( $\bar X$ $\geq$ 2.02) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{2.02-2}{\frac{0.1}{\sqrt{40} } }$ ) = P(Z $\geq$ 1.265) = 1 - P(Z < 1.265)

= 1 - 0.89707 = 0.103

The above probability is calculated using z table by looking at value of x = 1.265 which will lie between x = 1.26 and x = 1.27 in the z table which have an area of 0.89707.

Therefore, probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

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3 years ago

Find the volume of the triangular prism

Otrada [13]

Answer:

1,848

Step-by-step explanation:

$volume = ( \frac{1}{2} \times a \times b) \times h \\ = ( \frac{1}{2} \times 7 \times 24) \times 22 \\ divide \: 2 \: and \: 24 \: by \: 2 \\ = (1 \times 7 \times 12) \times 22 \\ = (84) \times 22 \\ = 1,848 \\ volume \: = 1,848$

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3 years ago

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!

tester [92]

Answer:

B, E and F

Step-by-step explanation:

(1,2) is a solution to the system of equations.

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4 years ago

Question 3 (2 points)

enot [183]

9514 1404 393

Answer:

c. Both m(x) and p(x) have the same output value at x = 7.

Step-by-step explanation:

For input value x, m(x) is the output value.

m(7) is the output value of the function m(x) when x=7.

p(7) is the output value of the function p(x) when x=7.

The statement m(x) = p(x) for x=7 is a statement that the output values are the same at x=7.

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3 years ago

The current temperature is 8 degrees fahrenheit. By how many degrees does the temperature need to change to reach 7 degrees fahr

trapecia [35]

Answer:

-8-7= 15

so the answer is 15

Step-by-step explanation:

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3 years ago