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Zepler [3.9K]
3 years ago
10

The table shows conversions for common units of length.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

1 kilometer

0.621371 miles

Step-by-step explanation:

Given data

In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles

Hence the conversion from kilometers to miles is presented below

1 kilometer

0.621371 mile

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Patty made a banner that has an area of 36 square inches,. The length and width of the banner are whole numbers. The length is 4
omeli [17]

Answer: width= 3 inches; length= 12 inches.

Step-by-step explanation:

From the question, the length is 4 times greater than the width.

Let the width of the banner be represented by y.

Since the length is 4 times greater than the width. It will be denoted as:

Length= 4 × y = 4y

Since area= length×width

4y × y = 36

4y^2 = 36

Divide both side by 4

y^2 = 36/4

y^2 = 9

We have to find the square root of 9

y= √9

y = 3

The width is 3 inches.

The length will be: (3×4) = 12 units.

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3 years ago
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A random sample of 625 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown
diamong [38]

Answer:

10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 10, \sigma = 0.1, n = 625, s = \frac{0.1}{\sqrt{625}} = 0.004

What is the probability that the mean contents of the 625 sample cans is less than 9.995 ounces?

This is the pvalue of Z when X = 9.995. So

Z = \frac{X - \mu}{s}

Z = \frac{9.995 - 10}{0.004}

Z = -1.25

Z = -1.25 has a pvalue of 0.1057

So there is a 10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

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3 years ago
Hey, me again I NEED HELP ASAP!
LenKa [72]

THe answer is 36 BOI

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Find the total length of six sections when each section is 72.5mm in length​
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The total length is 435mm
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42.40 is your answer for this equation

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