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g100num [7]
3 years ago
13

The grade-point average in an econometrics examination was normally distributed with a mean of 75. In a sample of 10 percent of

students it was found that the grade-point average was greater than 80. Can you tell what the s.d. of the grade-point average was?
Mathematics
1 answer:
never [62]3 years ago
3 0

To solve a standard deviation we require a specific result for each data. So this question(data from question) can not be enough to solve standard deviation.

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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
HOW DO YOU FIND THIS AGAIN PLS HELP!
strojnjashka [21]
<h2>28 units²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

length = 8 units

breadth = 3.5 units

area = length × breadth

= 8 × 3.5

= 28 units²

<h2>____________________</h2><h2>FOLLOW ME</h2>
5 0
2 years ago
Read 2 more answers
Fatima highlighted columns 3 and 8 in the multiplication table below to find equivalent ratios.
Luba_88 [7]

Answer:

the answer is 40:15

Step-by-step explanation:

7 0
3 years ago
100 &lt;---- 2 zeros
Tom [10]
The number 100 -> that has 2 zeros
Is the same as 10^2 as for this simplified is equal to 100.
100=100
They are the same. They have the same number of zeros.
4 0
2 years ago
HELP ASAP PLEASE
Serga [27]

Answer:

Step-by-step explanation:

The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5

yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

6 0
3 years ago
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