MATHEMATICS HIGH SCHOOL

Sanjay created a scatter plot of the relationship between the number of times he visited different coffee shops each month, y, and the distance in miles of the shops from his home, x. He calculated the equation of the trend line to be y=−2.25x+30. Use this information to predict the number of times in one month Sanjay would visit a coffee shop that is 8 miles from his home.

Answers

Answer 1
Answer:

Answer:

He visited 12 times.

Step-by-step explanation:

y: number of times each month he visited different coffee shop.

x: distance in the miles of the shop from his home.

Given\ y=-2.25x+30\nx=8\ny=-2.25* 8+30\ny=-18+30\ny=12

Hence he visited that coffee shop 12 times.

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. Write the equation in slope intercept form for the line that goes through point (−10, 8) with slope =6.

Answers

y = mx + b is slope intercept form

x = -10
y = 8
m = 6

1. Solve for b

8 = (6)(-10) + b
b = 68

2. Plug m and b back into your slope intercept equation

y = 6x + 68

If 5x + 15 is greater than 20, which of the following best describes possible values of x ?a) x > 5, b) x > 3, c) x > 1, d) x < 5, e) x < 1

Answers

5x + 15 >20 \ \ |-15\n \n5x+15-15>20-15 \n \n5x>5\ \ / :5 \n \nx > 1 \n \n Answer : \ c) \ \ x > 1
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This answer is C).

Evaluate the expression when x=10, y=−2, and z=−5. −x2+6z/y=

Answers

- (10)2 + 6(-5)/(-2)

- 20 + -30/-2

- 20 + 16

4 ( I think)

Final answer:

The value of the expression −x2+6z/y when x=10, y=−2, and z=−5 is -85.

Explanation:

To evaluate the expression when x=10, y=−2, and z=−5, we substitute these values into the expression:

−x2+6z/y

−(10)2+6(-5)/(-2)


−100+(-30)/(-2)

−100+15

= -85

Therefore, when x=10, y=−2, and z=−5, the value of the expression −x2+6z/y is -85.

Learn more about Evaluating expressions here:

brainly.com/question/29040058

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you and your mom enter a drawing with 3 different prizes. a total of 10 people entered the drawing, and prizes are awarded randomly. there are 720 ways to award the prizes

Answers

Answer:

The correct option is A.

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that i win the first prize and my mom wins the second prize would be 8/720 ....

Rearrange to make a the subject:
v=u+at

Answers

Answer:

a =  (v - u)/(t)

Step-by-step explanation:

v = u + at

u + at = v

     at = v - u

      a = (v - u)/(t)

PLS HELP ME QUICKThere are 52 cards in a deck of cards. There are no jokers in the deck. If you
shuffle the deck of cards, and choose one at random, what is the
probability that you will choose a Queen? *

Answers

Answer:

The answer is 4:52

Step-by-step explanation:

Because each type of cards has four pairs
4the answe is 4: 52 because of the pairs you have and shown
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