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Gelneren [198K]
2 years ago
15

There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Write and solve the equation to find How many

cans the coach bought
Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:He bought 9 cans.

Step-by-step explanation:

27divided by 3 is 9.

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The greatest common factor of 3m^2n+12mn^2 is
shutvik [7]
3m²n + 12mn²
3mn(m) + 3mn(4n)
3mn(m + 4n)

The GCF of this expression is 3mn.
7 0
2 years ago
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
never [62]

Answer:

∠ Y = 45°, ∠ X = 135°

Step-by-step explanation:

Since the 2 angles are supplementary, then

X + Y = 180 ← substitute X = 3Y

3Y + Y = 180, that is

4Y = 180 ( divide both sides by 4 )

Y = 45

and

X + Y = 180, so

X + 45 = 180 ( subtract 45 from both sides )

X = 135

Thus

∠ X = 135° and ∠ Y = 45°

5 0
2 years ago
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an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?
olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

r=\dfrac{30}{2}

r=15

Area of a circle is:

A=\pi r^2

Putting \pi = 3.14 and r=15 in the above formula, we get

A=(3.14)(15)^2

A=(3.14)(225)

A=706.5

Therefore, the area of the hold is 706.5 square cm.

4 0
2 years ago
The labor force participation rate is the number of people in the labor force divided by the number of people in the country who
zepelin [54]

Answer:

The expected participation rate is 0.637.

The standard error is 0.04397

Step-by-step explanation:

For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability:

Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So \pi = 0.637. This means that the expected participation rate is 0.637.

Standard error for the participation rate:

The standard error is given by the following formula:

\sigma = \sqrt{\frac{\pi(1-\pi)}{n}}.

In this problem, 120 people are asked, so \pi = 120

s = \sqrt{n\pi(1-\pi)} = \sqrt{\frac{0.637*(1-0.637)}{120}} = 0.04397.

So the standard error is 0.04397

8 0
2 years ago
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3x+5x+12z+15z+8y+7y

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