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Ksju [112]
3 years ago
11

Find the slope and y-intercepts f(x)= -1/2x - 2

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

slope: -1/2

y-intercept: -2

Step-by-step explanation:

f(x) = mx+b

m is slope

b is the y-intercept

so

if f(x) = -1/2x - 2

then

the slope or m is -1/2

and the y-intercept or b is -2

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Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
What solution is <br> y=9x+35<br> y=-8/9x+4/5
Ainat [17]

Answer:

x=-1539/445, y=1724/445. (-1539/445, 1724/445).

Step-by-step explanation:

y=9x+35

y=-8/9x+4/5

-------------------

9x+35=-8/9x+4/5

9x-(-8/9x)=4/5-35

9x+8/9x=4/5-175/5

81/9x+8/9x=-171/5

89/9x=-171/5

x=(-171/5)/(89/9)

x=(-171/5)(9/89)

x=-1539/445

y=9(-1539/445)+35

y=1724/445

6 0
3 years ago
An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?
notka56 [123]

Answer:

A. 11/3

Step-by-step explanation:

11/3 is saying 11 dived by 3, and in the short story the 11-inch string is being cut (divide) into 3 parts.

Hope this helped!

5 0
3 years ago
Read 2 more answers
How many solutions does this system have?​
Andrew [12]

That system has D. no solutions

8 0
3 years ago
Read 2 more answers
Find the surface area of a sphere with radius of 8inches
diamong [38]

Answer:

200.96in

Step-by-step explanation:

I used this equation with 3.14 as pi

Area = 1/2 * 2radius*pi * radius

6 0
3 years ago
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