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Mrrafil [7]
3 years ago
5

A trailer will be used to transport several 40-pound crates to a store. The greatest amount of weight that can be loaded into th

e trailer is 1,050 pounds. An 82-pound crate has already been loaded onto the trailer. What is the greatest number of 40-pound crates that can be loaded onto the trailer?
Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Given :

A trailer will be used to transport several 40-pound crates to a store.

The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.

An 82-pound crate has already been loaded onto the trailer.

To Find :

The greatest number of 40-pound crates that can be loaded onto the trailer.

Solution :

Weight left = 1050 - 80 = 970 pound.

Let, number of 40 pounds crates that can be loaded are x.

x  = \dfrac{970}{40}\\\\x = 24.25

Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.

Hence, this is the required solution.

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Given triangle 'ABC' with a = 4, b = 11, and measurement of A = 41 Degrees , find the number of distinct solutions.
n200080 [17]
It should be A, since b=11> acosA
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Which line is steeper, Bruce’s or Felicia’s? Whose slope is greater? Does this match the comparison from Part C?
Oksana_A [137]

Answer:

Bruce's line is steeper and his line is also greater,yes

Step-by-step explanation:

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8 0
3 years ago
The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
alexira [117]

Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

3 0
3 years ago
The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean
Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

b) 2.28% of the scores are expected to be greater than 700.

c) 30.85% of the scores are expected to be less than 450.

d) 53.28% of the scores are expected to be between 450 and 600.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 500, \sigma = 100

a. Greater than 600

This is 1 subtracted by the pvalue of Z when X = 600. So

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% of the scores are expected to be greater than 600.

b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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

Z = \frac{700 - 500}{100}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of the scores are expected to be greater than 700.

c. Less than 450

Pvalue of Z when X = 450. So

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85% of the scores are expected to be less than 450.

d. Between 450 and 600

pvalue of Z when X = 600 subtracted by the pvalue of Z when X = 450. So

X = 600

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 450

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

0.8413 - 0.3085 = 0.5328

53.28% of the scores are expected to be between 450 and 600.

6 0
3 years ago
You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is 12 inches wide by 16 inches long. The
Kay [80]

Answer:

Area of tissue paper is 384 square inches.

Step-by-step explanation:

Given:

Length of box = 16 inches.

Width of the box = 12 inches.

We need to find find the area of the tissue paper.

But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.

Hence Framing in equation form we get;

Area of tissue paper = 2(length\ of \ box \times width \ of \ box)

Hence Substituting the given values we get;

Area of tissue paper = 2(12\times 16) = 2\times 192 = 384 in^2

Hence Area of tissue paper is 384 square inches.

7 0
3 years ago
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