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ki77a [65]
3 years ago
7

The area rug is 4 15/32 square meters. The rug is 2 3/4 meters in length. How wide is the rug

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0
Steps:
1. To do this problem, you have to divide the area by the length
2. To make this easier, turn both numbers into improper fractions
143/32 divided by 11/4
3. To divide you actually have to multiply by the reciprocal
143/32 times 4/11 equals 572/352
4. Turn 572/352 into a mixed number which is 1 220/352
5. Now you simplify it by dividing the numerator and denominator by 44
6. Your answer is.
1 5/8

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The first 3 terms of a sequence are given. Round to the nearest thousandth. Find the 43rd term
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Answer:

24000

Step-by-step explanation:

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Mr. Moss had 2 gallons of paint. He painted 3 doors. How many benches can he paint with the paint that is​ left? Show your work.
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uh depends on how much paint he used for the doors and how much paint he needs for the benches

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Can someone help me with this ​
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41

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3 years ago
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me
iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

So

267 - 2*19 = 229 days

to

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

7 0
3 years ago
A construction company is planning to bid on a building contract. The bid costs the company ​$1400. The probability that the bid
liubo4ka [24]

Answer:

$3,000

Step-by-step explanation:

There two possible outcomes:

There is a 3/4 chance that the bid is rejected for a value of -$1,400

There is a 1/4 chance that the bid is accepted for a value of $17,600 - $1,400.

The expected value of the situation is:

E = \frac{3}{4}*(-1,400)+\frac{1}{4}*(17,600-1,400)\\E=\$3,000

The expected value is $3,000.

7 0
3 years ago
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