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3 years ago

51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.

Mathematics

1 answer:

MariettaO [177]3 years ago

7 0

Answer: plz mark me brainliest

Step-by-step explanation:

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The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu

alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.

Frequent Flier Miles (000) Frequency

0 up to 3 5

3 up to 6 12

6 up to 9 23

9 up to 12 8

12 up to 15 2

Total 50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3 5 5

3 up to 6 12 17

6 up to 9 23 40

9 up to 12 8 48

12 up to 15 2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0

3 years ago

The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?

oksano4ka [1.4K]

Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = $\frac{y2-y1}{x2-x1}$

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = $\frac{-1-5}{6--2}$ = -0.75 ........> accepted choice

For point (2,8):
slope = $\frac{8-5}{2--2}$ = 0.75 ........> rejected choice

For point (-5,1):
slope = $\frac{1-5}{-5--2}$ = 4/3 ........> rejected choice

For point (1,1):
slope = $\frac{1-5}{1--2}$ = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)

5 0

3 years ago

Can someone help me I can't remember how to do ratios

omeli [17]

3 casseroles feeds 15 people

The ratio is 3:15

If you divide each of those by 3, youll find that 1 casserole feeds 5 people

1 : 5 is the ratio.

Divide 30 by 5 = 6

6 casseroles feeds 30 people.

6 : 30

35 divided by 5 = 7

7 casseroles feed 35 people

7 : 35

5 0

4 years ago

|x| + 6 = 3 <br><br> A question on homework

alexdok [17]

Answer:

-9

Step-by-step explanation:

-9+6=-3

5 0

3 years ago

(Right angle) Trigonometry <br> please help!

kozerog [31]

Answer:

A = 41.4°

Step-by-step explanation:

Reference angle = A

Length of Adjacent side = 6

Length of Hypotenuse = 8

Apply the trigonometric function, CAH.

Cos A = Adj/Hyp

Substitute

$Cos(A) = \frac{6}{8}$

$A = Cos^{-1}(\frac{6}{8})$

A = 41.4° (approximated to the nearest tenth)

7 0

3 years ago

51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.​

51) Write the equation of the line passing through (-2, 5) and perpendicular x + 3y = 15.