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3 years ago

14

2=m/2-7M/2 is a fraction btw

1 answer:

ad-work [718]3 years ago

7 0

Answer:

18 = m

Step-by-step explanation:

2=m/2-7

Add 7 to each side

2+7=m/2 - 7+7

9 = m/2

Multiply each side by 2

9*2 = m/2 * 2

18 = m

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The measure of an angle is 28 degrees less than its supplement. find each angle

DIA [1.3K]

Supplementary angles measure 180°. Make an equation:

Subtract 28 to leave the variable in the parentheses alone:

Add the 2 x's together:

Your new equation is:

Divide both sides by 2 to leave the variable alone

The supplement measures 76°

4 0

2 years ago

At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean

Marysya12 [62]

We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.

First of all, we will use z-score formula to find z-score corresponding to 146 and 163.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{146-150}{5}$

$z=\frac{-4}{5}$

$z=-0.8$

$z=\frac{163-150}{5}$

$z=\frac{13}{5}$

$z=2.6$

Our next step is to find percentage of data scores falls between both z-scores.

$P(-0.8$

Using normal distribution table, we will get:

$P(-0.8$

$P(-0.8$

Let us convert our answer into percentage.

$0.78348\times 100\%=78.348\%$

Upon rounding our answer to nearest thousandths, we will get:

$78.348\%\approx 78.35\%$

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately $78.35\%$ .

8 0

3 years ago

three friends all live on the same street that runs west to east. Beth lives 6 blocks from Al. Carol lives 2 blocks from Beth. I

Savatey [412]

Answer:2, -2, 6 or -6

Step-by-step explanation:

Given,

The location of Ann's house in the number line = 0,

∵ Ben lives 4 blocks from Ann.

So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )

Now, Carl lives 2 blocks from Ben,

So, the possible location of Carl's house

Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )

Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )

8 0

3 years ago

Please help me, I need it asap

astraxan [27]

Answer:

70°

Step-by-step explanation:

We can see that

111 and A are of same value as vertical angles

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

$(152 + ?)/2=111 \\152 + ? = 2*111\\152 + ? = 222\\? = 222 - 152\\? = 70$

4 0

3 years ago

The surface area of a cube is 216in.² what is the volume of a cube

saw5 [17]

Answer:216 in^3

Step-by-step explanation:

Length=L

Surface area=216

surface area=6 x L^2

216=6xL^2

Divide both sides by 6

216/6=(6xL^2)/6

36=L^2

L^2=36

Take the square root of both sides

√(L^2)=√(36)

L=6

Volume of cube=L x L x L

volume of cube=6 x 6 x 6

Volume of cube=216

8 0

4 years ago