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o-na [289]
3 years ago
13

A) what is the simplified product of seven-fourths divided by eight-fifths as an improper fraction

Mathematics
2 answers:
Alex73 [517]3 years ago
4 0

Answer:

<h3>A) </h3>

First were going to put our numbers in perspective.

\frac{7}{4} ÷ \frac{8}{5}

But to find the improper fraction, we have to <em>cross multiply</em> these numbers.

\frac{7}{4} × \frac{8}{5}

<em>7 x 5 = 35.  </em>

<em>4 x 8 = 32.</em>

Now we have our<em> improper fraction </em>is  \frac{35}{32}

<h3>B)  </h3>

To turn our improper fraction into a <em>mixed number</em>, we will use <em>division</em>.

We know that the 32 can only go into 35 <u><em>one</em></u> time.  We also know that the bottom number <em><u>always</u></em> stays the same.  So our equation will look somewhat like this.

1\frac{?}{32}

Now to fine the top number we will have to<em> subtract 35 from 32</em> because we already know that 32 can go into 35 <u><em>one</em></u> time, so <em>35 - 32 = 3</em>.  So are mixed number will look like this.

1\frac{3}{32}

This is our <em>answer!</em>

Maslowich3 years ago
4 0

Answer:

7/4 ÷ 8/5

A. First, we need to do the reciprocal of 8/5.

7/4 x 5/8 = 35/32

B. Now, we need to convert it into a mixed number. Divide 35 by 32. 32 goes into 35 one time. 35 - 32 = 3, so remainder 3. We use 1 as the whole number since 32 goes into 35 one time. We use the remainder 3 as the numerator, and 32 as the denominator.

1 3/32

Hope this helps u have a great day :)

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Write two perfect squares that each have a value greater than100 and less than 200
Trava [24]

Answer:

121, 144

Step-by-step explanation:

√121= 11

√144= 12

6 0
3 years ago
Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?
Brut [27]

Answer:

The answer is graph B. Have a nice day!

Step-by-step explanation:

3 0
3 years ago
If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability
Sonja [21]

Answer:

  84%

Step-by-step explanation:

The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.

Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:

  68% + 16% = 84%.

4 0
3 years ago
1573-(640+30)+907 operaciones combinadas
igor_vitrenko [27]

Answer:

1810

640+30=670

1573-680=903

903+907=1810

6 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
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