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Pie
2 years ago
9

Find an equation in point slope form that passes through the points -1,3 and 1,7 show all your work

Mathematics
1 answer:
liberstina [14]2 years ago
4 0

Answer:

Step-by-step explanation:

1. Find the slope:

   7 -3/ 1 + 1 = 4/2 = 2 = m

2.  Find b by plugging in the m and one of the points given into y = mx + b

     7 = 2 ( 1 ) + b

     7 = 2 + b

      5 = b

3. Write the equation using the m and the b you just found

 y =2 x + 5

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Find the percent increase. Round to the nearest percent. From 85 books to 143 books The percent increase is​
klasskru [66]

We are given :

  • Initial = 86
  • Final = 143

Let's find the percent increase with the help of formula:

\boxed{ \sf \: formula : 100 \times  \frac{(final - initial)}{initial} }

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

\tt \% \: increase =  100 \times \frac{(143 - 85)}{85}

\tt  \% \: increase = 100 \times  \frac{58}{85}

\tt\% \: increase = 20 \times   \frac{58}{17}

\tt\% \: increase =  \frac{1160}{17}

\tt\% \:increase = 6823.53

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2 years ago
A rectangle has the length that is five times longer than it’s width. If the perimeter of the rectangle is 12 inches, whats the
NemiM [27]
The width would be 1 inch.

Given: L = length = 5W; P = perimeter = 2(L+W) = 12 inches
Required: W = width; 
Formula: P=2(L+W) 
Solution:
              12 in = 2 (L + W)
              6 in = L + W
              6 in = 5W + W
              6 in = 6W
              1 in = W
Cross check:
              P = 2(L + W)
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7 0
3 years ago
In a church wing with 8 men and 10 women members find the probability that a 5 member committee chosen randomly will have.......
Sergeeva-Olga [200]

Answer:

a) Probability that a 5 member committee will have all men = 0.0065

b) probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Step-by-step explanation:

Number of men = 8

Number of women = 10

Total number of members = 10 + 8 = 18

Probability = (Number of possible outcomes)/(Total number of outcomes)

Number of ways of selecting a 5 member committee from 18 people = ^{18}C_5 = \frac{18!}{(18-5)!5!} = \frac{18!}{13!5!} = 8568 ways

a) Probability that a 5 member committee will have all men

Number of ways of selecting 5 men from 8 men

= ^8C_5 = \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!} = 56 ways

Probability that a 5 member committee will have all men = 56/8568

Probability that a 5 member committee will have all men = 0.0065

b)probability that a 5 member committee chosen randomly will have 3men and 2 women​

Number of ways of selecting 3 men from 8 men

=  ^8C_3 = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = 56 ways

Number of ways of selecting 2 women from 10 men

=  ^{10}C_2 = \frac{10!}{(10-2)!2!} = \frac{10!}{8!2!} = 45 ways

Number of ways of selecting 3 men and 2 women = 56*45

Number of ways of selecting 3 men and 2 women = 2520

Probability of selecting 3 men and 2 women = 2520/8568 = 0.294

probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

6 0
3 years ago
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