Answer:
f(x) = 7.5x
Step-by-step explanation:
you can find the slope by using the slope formula (y2-y1)/(x2-x1). you can use any of the values but for this example I'll be using (2, 15) and (4, 30).
(30-15)/(4-2) = 15/2 = 7.5.
now we can use one of the coordinates to find the y-intercept by plugging the known values in the equation y=mx+b where m is the slope and b is the y-intercept.
for this example I'll be using (2, 15) but you could use any of the values you gave.
15 = 7.5(2) + b
15 = 15 + b
0 = b
so now we have the function rule
f(x) = 7.5x + 0 or just f(x) = 7.5x
Answer:
x = 7
Step-by-step explanation:
Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.
So basically 4x + 4 = 32... x = 7
We can use a theorem called Proportional segments in right triangles.
1. How far is library from the park?
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The perpendicular is the mean proportional between the segments of the hypotenuse, so:
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2. How far is the park from the football field?
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Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment, so:
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Answer: A.
Here we shall use the binomial distribution formula to evaluate the probability:
let the probability that the temp will be above 80 be P(F)=2/3;
Probability that the temp will be below 80 be P(F')=1/3
thus,
The probability that the temp will be above 80 for 20 days for the month of June will be:
P(F)=n!/((n-x)!x!)p^xq^(n-x)
p=2/3 and q=1/3, n=30, x=20
plugging the values in the equation we obtain:
P(F)=30!/(10!*20!)*(2/3)^20*(1/3)^(30-20)
P(F)=0.153
Answer:
m∠CAB = 40°
Step-by-step explanation:
DAC = 99
DAB = 59
B is inside DAC, and so is DAB. So CAB must add to 59 to get to 99, nothing over that because it's inside DAC.
So 99 - 59 = 40
CAB must be 40°
That's all I can say for now. Hope this helps and a thank won't hurt! :)