Answer:
y = x - 6
Step-by-step explanation:
The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1. Thus,
y = mx + b becomes 2 = 1(8) + b, so that b = -6.
The desired equation is y = x - 6.
Check: Does (8,2) lie on this line? Is 2 = 8 - 6 true? YES.
Answer:
Charlie drove 203 miles
Step-by-step explanation:
205.74-16.95=188.79
188.79/.93=203
Have a happy day <3 Miss Hawaii
491,111 is greater than 409,867
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
![P(500000)=P(x=0)+P(x=500)\\\\\\\\=0.34+0.37\\\\\\\\=0.71](https://tex.z-dn.net/?f=P%28500000%29%3DP%28x%3D0%29%2BP%28x%3D500%29%5C%5C%5C%5C%5C%5C%5C%5C%3D0.34%2B0.37%5C%5C%5C%5C%5C%5C%5C%5C%3D0.71)
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
![P(\bar X](https://tex.z-dn.net/?f=P%28%5Cbar%20X%3C500%29%3DP%28%5Cfrac%7B%5Cbar%20X-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%3C%5Cfrac%7B500-403%7D%7B278%2F%5Csqrt%7B40%7D%7D%29%5C%5C%5C%5C%5C%5C%3DP%28z%3C2.2068%29%5C%5C%5C%5C%3D0.986336%5Capprox%200.9863)
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863