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larisa [96]
3 years ago
13

the point (21, 32) is on a line with the slope 1.5 find the equation of the line. find the coordinates of another point on the l

ine

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

Answer:

The equation would be y = 1.5x + 0.5

Step-by-step explanation:

To find the equation of the line, use the point and the slope in point-slope form.

y - y1 = m(x - x1)

y - 32 = 1.5(x - 21)

y - 32 = 1.5x - 31.5

y = 1.5x + 0.5

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The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0
3 years ago
Which point is a solution to the system;
Monica [59]

Answer:

None of the listed

Step-by-step explanation:

Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution

3 0
3 years ago
An object is translated by ( x + 4, y - 2). If one point in the image has the coordinates (5, -3), what would be the coordinates
Nikolay [14]
To find the pre-image we work backwards. Since the coordinates one of the translated image is (5,-3) and this image was translated with the formula (x+4, y-2), then we can just work backwords. 
(x-4, y+2) --> (5-4,-3+2) -->(1,-1)
The correct answer is (1,-1)
5 0
4 years ago
Would someone mind explaining this?
Nesterboy [21]

Answer:

3?

Step-by-step explanation:

i think that because it's multiplying by 3.

3*3= 9

5*3= 15

7*3= 21

9*3= 27

This is the only way i could think of helping in some sort of way! I'm sorry if it's wrong! (´。_。`)

Have a great day! (´。_。`)  /  (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

8 0
3 years ago
A circle has a radius of 9 ft.
Alexxx [7]
Formula for circl area
pi times radius^2
pi=aprox 3.14 in this problem
area=3.14 times radius^2
radius=9
area=3.14 times 9^2
area=3.14 times 81
area=254.34 square feet or
254.34 ft^2
5 0
3 years ago
Read 2 more answers
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