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Minchanka [31]
1 year ago
11

The number of students attending Martin Middle School decreased by 80 over a 10-year period. What integer represents the average

yearly change in enrollment?
Mathematics
1 answer:
3241004551 [841]1 year ago
8 0

Answer:

otdkgdhdhfifkgdkgdkhd

Step-by-step explanation:

jj skydydufifitsitziyxix

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A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is lo
vodomira [7]

Answer: x^2=32y


Step-by-step explanation:

Given:  A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.

The pipe is located 8 inches from the vertex of the mirror.

Assume the vertex is at the origin.

If the parabola opens upwards

then the coordinates of focus= (0,8)

We know that equation of parabola with focus (0,a) and open upards is of the form (vertex=(0,0)) is

x^2=4ay

Substitute the value of a=8 in equation, we get

x^2=4\times8y

\Rightarrow\ x^2=32y

Therefore, equation of the parabola that models the cross section of the mirror is x^2=32y

3 0
2 years ago
The quantities xxx and yyy are proportional. xxx yyy 888 222 161616 444 323232 888 Find the constant of proportionality (r)(r)le
Tcecarenko [31]

Answer:

Step-by-step explanation:

1/4

4 0
2 years ago
197 people ride the bus in the morning. 10 less than 84 people ride the bus in the evening. How many people ride the bus in all?
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

128

7 0
2 years ago
The hospital shop buys cereal bars in boxes of 4.
Korolek [52]
First, you divide 58 bars by 4. The answer will be 14 boxes with 2 bars remaining in the box.
8 0
2 years ago
Automobile repair costs continue to rise with the average cost now at $367 per repair (U.S. News & World Report website, Jan
tino4ka555 [31]

Answer:

\mu = 367

\sigma = 88

a. What is the probability that the cost will be more than $450?

We are supposed to find P(x > 450)

Formula : z=\frac{x-\mu}{\sigma}

z=\frac{450-367}{88}

z=0.9431

Refer the z table :

P(z<0.9431)=0.8264

P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736

Hence the probability that the cost will be more than $450 is 0.1736

b)What is the probability that the cost will be less than $250?

We are supposed to find P(x<250)

Formula : z=\frac{x-\mu}{\sigma}

z=\frac{250-367}{88}

z=-1.3295

Refer the z table :

P(z<-1.3295)=0.0934

Hence the probability that the cost will be less than $250 is 0.0934

c)What is the probability that the cost will be between $250 and $450?

P(250<z<450)=P(z<450)-P(z<250) = 0.8264 - 0.0934 =0.733

Hence the probability that the cost will be between $250 and $450 is 0.733

d)  If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?

p = 0.05

refer the z table

z = -1.65

Formula : z=\frac{x-\mu}{\sigma}

-1.65=\frac{x-367}{88}

-1.65 \times 88=x-367

-145.2+367=x

221.8=x

Hence If the cost for your car repair is in the lower 5% of automobile repair charges, so, cost is $221.8

4 0
2 years ago
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