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s2008m [1.1K]
2 years ago
15

The points (-3, -3) and (5, r) lie on a line with slope 3/2 Find the missing coordinate r.

Mathematics
1 answer:
EleoNora [17]2 years ago
8 0

Answer:

The missing coordinate r is 9.

Step-by-step explanation:

Given the points P(x,y) = (-3,-3) and Q(x,y) = (5,r), the slope of a line passing the two points (m_{PQ}) is determined by equation of secant line:

m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}} (1)

m_{PQ} = \frac{r-(-3)}{5-(-3)}

If we know that m_{PQ} = \frac{3}{2}, then the value of r is:

\frac{3}{2} = \frac{r+3}{8}

12 = r + 3

r = 9

The missing coordinate r is 9.

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% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-\cfrac{1}{3}=\cfrac{3}{4}(x-4)\implies y-\cfrac{1}{3}=\cfrac{3}{4}x-3
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Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the b
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Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
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