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Gemiola [76]
3 years ago
15

Helpppp plssss!! Show your work!!Thanks

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\heartsuit\;\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (-3 , 5) and (6 , -1)

here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

\heartsuit\;\;Slope(m) = \frac{5 + 1}{-3 - 6} = \frac{6}{-9} = \frac{-2}{3}

Option D is the Answer

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

Probability:

p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0
3 years ago
A wool sweater originally costs $42.00. if the sweater is on sale for 25% off, what is the new cost of the sweater? $
jolli1 [7]
42 (1- 25/100) = 63/2  = 31.5 dollars

answer is $31.50 

hope it helps
8 0
3 years ago
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Adam got 97, 70, 89, 99, 100, 78, 79, 89, 77, and 72 on his reading test. What is the mean of Adam's reading test?
ipn [44]

Answer: 85

Add up all the numbers: 97+70+89+99+100+78+79+89+77+72=850

Divide 850 by the amount of numbers:

850/10=85

I hope this helps and good luck! :)

5 0
2 years ago
A white square quilt has a purple square in the center.the side length of the purple square is (x-5) inches and the width of the
ankoles [38]
Area of quilt, Q= 60^2\, in^2=3600\,in^2
Area of purple square, P = (x-5)^2\, in^2
Area of white area 
= Q-P
= 3600-(x-5)^2\, in^2
=3600-x^2+10x-25\, in^2
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4 0
3 years ago
Ten more than-one third of a number is sixteen. Which of the following represents the number?
mart [117]
I want to say b. 18
Hope I helped
5 0
2 years ago
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