Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
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Answer:
1.)21°
2.)51°
3.)73°
4.)50°
Step-by-step explanation:
1.) 90° - 69°
= 21°
2.) 90° - 39°
= 51°
3.) 90° - 17°
= 73°
4.) 90° - 40°
= 50°
X + 4y = 3 x = -4y + 3
2x - 3y = 17
2(-4y + 3) - 3y = 17
-8y + 6 - 3y = 17
-11y + 6 = 17
-11y = 11
y = -1
x = -4(-1) + 3
x = 4 + 3
x = 7
(7, -1) is your answer
X-intercept: (38/7,0)
Y-intercept; (0,-38)
