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3 years ago

Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Step-by-step explanation:

<u>Answer options:</u>

The sample size is not large enough to represent the population.

No. Sample size is quite small per language.

The sample was not chosen at random.

No. There is no evidence if samples are not random.

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Yes. Some of the classes my have large, some may have small population. Therefore taking 10 samples from each language is not right proportion and proper representation.

The way the sample was chosen does not sample students from each different language class.

No. Each language class is considered.

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1.What is the slope of (0,2) and (-8,-8). What is the slope of (-8,-5) and (8,15)

ss7ja [257]

Answer:

Slope of (0,2) and (-8,-8): 5/4

Slope of (-8,-5) and (8,15): 5/4

Both slopes are 5/4

m = 5/4

Step-by-step explanation:

To find the slope:

1. Use the formula $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

2. Assign point 1 and point 2

3. State (x₁ , y₁) and (x₂, y₂)

4. Substitute x₁ , y₁, x₂, and y₂ into the formula

5. Solve

Slope of (0,2) and (-8,-8):

Point 1: (0,2) x₁ = 0 y₁ = 2

Point 2: (-8,-8) x₂ = -8 y₂ = -8

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{-8-2}{-8-0}$ Substituted points

$m = \frac{-10}{-8}$ Simplified the subtraction then the negatives

$m = \frac{10}{8}$ Reduce fraction by dividing top and bottom by 2

$m = \frac{5}{4}$ First slope

Slope of (-8,-5) and (8,15):

Point 1: (-8,-5) x₁ = -8 y₁ = -5

Point 2: (8,15) x₂ = 8 y₂ = 15

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{15-(-5)}{8-(-8)}$ Substituted points

$m = \frac{15+5}{8+8}$ Simplified the subtraction into addition

$m = \frac{20}{16}$ Reduce fraction (divide top and bottom by 4)

$m = \frac{5}{4}$ Second slope

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3 years ago

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Answer:

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The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base

Korvikt [17]

Answer:

$9\; \rm m$ .

Step-by-step explanation:

Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with $\rm 12\; m$ . The three labelled lines in this diagram will form a right triangle.

The line marked as $15\; \rm m$ will be the hypotenuse of this right triangle.
The line marked as $12\; \rm m$ will be one of the triangle's legs.
The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.

Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:

$(\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2$ .

In this particular right triangle:

$(\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2$ .

$(\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2$ .

Therefore, the height of this ridge would be $\sqrt{81}\; \rm m = 9\; \rm m$ . (Note the unit.)

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