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3 years ago

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Iran of paper contains 500 sheets of paper. Norm has 373 sheets of paper left from a team. Express the option of a rem Norm has

as a fraction and as a decimal

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

373/500 = 0.746

Step-by-step explanation:

373 out of 500 is represented by the fraction 373/500.

This value is easily converted to a decimal number by multiplying numerator and denominator by 2:

(373×2)/(500×2) = 746/1000 = 0.746

_____

You can also divide 373 by 500 using a calculator to get the decimal result.

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A normal population has a mean of 19 and a standard deviation of 5.

dangina [55]

Answer:

a) $Z = 1.2$

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

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

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

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so $\mu = 19, \sigma = 5$ .

(a) Compute the z value associated with 25

This is Z when $X = 25$

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

$Z = \frac{25 - 19}{5}$

$Z = 1.2$

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when $X = 25$ subtracted by the pvalue of Z when $X = 19$ .

X = 25 has $Z = 1.2$ , that has a pvalue of 0.8849.

X = 19 has $Z = 0$ , that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when $X = 17$

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

$Z = \frac{17 - 19}{5}$

$Z = -0.40$

$Z = -0.40$ has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0

3 years ago

I’ll and 20 for the answer

charle [14.2K]

Answer:

Step-by-step explanation:

First convert £ 300 to Yen

£1 = ¥ 168

£300 = 168 * 300 = ¥ 50400

As bank as ¥ 1000 notes, the money he get is ¥50,000

50000 ÷ 1000 = 50

Kevin gets 50 notes of ¥ 1000

6 0

3 years ago

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QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati

Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

Surplus = $31,365 - $31,320 = $45

Our cash surplus is $45

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3 years ago

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5 times a number increased by 2 is the same as 8 more than 3 times the number. Find the number

wariber [46]

Answer:

5 times a number increased by 2 is the same as 8 more than 3 times the number.

Step-by-step explanation:

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3 years ago

Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

$P(x) = 5000000- 20000x - 200000x + 2000x^2$

$P(x) = 5000000-220000x + 2000x^2$

<u>Material 2</u>

$P(x) = 4000000 - 10000x - 160000x+ 1000x^2$

$P(x) = 4000000-170000x+ 1000x^2$

<u>Material 3</u>

$P(x) = 2000000 - 5000x - 54000x - 270x^2$

$P(x) = 2000000 -59000x - 270x^2$

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(151) = 4000000-170000 * 151+ 1000* 151^2$

$P(151) = 1131000$

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(49) = 5000000-220000 * 49 + 2000* 49^2$

$P(49) =-978000$

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using $P(x) = 2000000 -59000x - 270x^2$

So, we have:

$P(45) = 2000000 -59000 * 45 - 270 * 45^2$

$P(45) = -1201750$

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(30) = 4000000-170000*30+ 1000*30^2$

$P(30) = -200000$

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(40) = 5000000-220000*40 + 2000*40^2$

$P(40) = -600000$

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0

2 years ago