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Anettt [7]
3 years ago
9

Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surve

yed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
A.
27
B.
78
C.
84
D.
126
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

C.

84

Step-by-step explanation:

This question is solved using proportions.

From the sample:

11 + 3 = 14 out of 13 + 11 + 3 = 27 would rate the test something other than easy.

Out of 162:

Applying the rule of three:

14 - 27

x - 162

Applying cross multiplication:

27x = 14*162

x = \frac{14*162}{27}

x = 84

Thus the correct answer is given by option C.

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A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool bo
arsen [322]

Answer: No. He's wrong.

Step-by-step explanation:

Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:

= 10 × 4 × 7

= 280in³

When the dimensions are doubled, the new dimensions will be:

10 in = 10in × 2 = 20in

4in = 4in × 2 = 8 in

7in = 7in × 2 = 14in

The volume will now be:

= 20 × 8 × 14

= 2240in³

He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.

6 0
3 years ago
WILL GIVE ONE HUNDRED POINTS AND BRAINLIEST IF SOMEONE CAN HELP ME UNDERSTAND THIS!
dem82 [27]

Answer:

Slope is simply the gradient of a line.

Step-by-step explanation:

y2 - y1

m = -------------- is the formula to find the slope.

x2 - x1

5 0
3 years ago
Read 2 more answers
the rectangles on a quilt are 2in. wide and 3in. long the perimeter of each rectangle is made by pattern of ref thread. if there
maria [59]
2(2)+2(3)=10 inches per rectangle, multiplied by 30 rectangles= 300 inches of red thread.
3 0
3 years ago
The force F between two charges Q1 and Q2 in a vacuum is proportional to the product of the charges and is inversely proportiona
dangina [55]

Answer:

<h3>The given statement "The force F between two charges Q_1 and Q_2 in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges" is a <u>Coulomb's law.</u></h3>

Step-by-step explanation:

Given that "The force F between two charges Q_1 and Q_2 in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges"

<h3>The given statement is a <u>Coulomb's law.</u></h3>

Coulomb's law states that the magnitude of the electrostatic force F of attraction or repulsion between the two point charges Q_1 and Q_2 is directly proportional to the product of the magnitudes of charges Q_1 and Q_2  and it is inversely proportional to the square of the distance between the two charges.

6 0
3 years ago
Write an equation of the line with the given slope and y-intercept:
Stolb23 [73]

Answer:

a. y = -5x + 4

Step-by-step explanation:

Given the following data;

Slope, m = -5

Intercept, c = 4

Mathematically, the equation of line is given by the formula; y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the given parameters, we have;

y = -5x + 4

3 0
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