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Damm [24]
3 years ago
13

Can someone help me with this?

Mathematics
1 answer:
larisa [96]3 years ago
4 0

9514 1404 393

Answer:

  • 2b +2c
  • 35h +15m
  • ef +eg

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

a) 2(b+c) = 2b +2c

b) 5(7h +3m) = 5×7h +5×3m = 35h +15m

c) e(f +g) = ef +eg

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Pedro bought 8 tickets to a basketball game. He paid a total of $224. Enter an equation, using x as your variable, to determine
lara31 [8.8K]

x=224/8

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A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the
Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

(25 ÷ 200) × 100 = 12.5%

What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

5 0
3 years ago
HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

r=\sqrt{(0+4)^{2}+(0+3)^{2}}

r=\sqrt{(4)^{2}+(3)^{2}}

r=\sqrt{25}

r=5\ units

step 2

Find the equation of the circle

(x-h)^{2}+(y-k)^{2}=r^{2}

the center is the point (-3,-4) and the radius is r=5 units

substitute

(x+3)^{2}+(y+4)^{2}=5^{2}

(x+3)^{2}+(y+4)^{2}=25

6 0
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Answer:

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