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disa [49]
4 years ago
15

Passes through (1,-1) parallel to the line through (4,1) and (2,-3)

Mathematics
1 answer:
Vlada [557]4 years ago
4 0
Parallel means has the same slope
to find the slope
m = (y2 - y2)/ (x2 - x1)
m =( -3 - 1) / (2 - 4)
m = -4/-2
m = 2

The equation is
y = mx + b
y = 2x + b
to find the y-intercept, plug in the given coordinate
-1 = 2(1) + b
-1 = 2 + b
subtract 2 from both sides
-3 = b

The equation for the line that p<span>asses through (1,-1) and is parallel to the line through (4,1) and (2,-3) is
y = 2x - 3 

Hope this helps </span>
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Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam
charle [14.2K]

The mean is \mu=85 and standard deviation is \sigma=5. Then the variable X\sim N(85,5).

Use substitution Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}, then the variable Z\sim N(0,1).

The probability Pr(X>80) can be calculated in the following way:

for X=80, Z=\dfrac{80-85}{5} =-1 and Pr(X>80)=Pr(Z>-1). From the diagram Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84.

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

4 0
3 years ago
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5 0
3 years ago
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Nostrana [21]
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3 years ago
If f(x) = -9x +9 and g(x)+squroot x+1, what is (f degree sign g) 24
Leno4ka [110]
(f ° g) (x) means the composition of the two functions in this order f (g (x) )

So, given f(x) = - 9x + 9 and g(x) = √(x + 1),  you must do this:

f(g(x)) = - 9 [ g(x) ] + 9 = - 9 [√(x+1) ] + 9 => f(g(24) = - 9 √(24 + 1) + 9 = - 9√25 + 9 =

= -9(5) + 9 = -45 + 9 = - 36

Answer: - 36
7 0
3 years ago
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