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
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (2, 5)
Point (6, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Simplify:

Answer:
-74
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
Hypotenuse is 10 because it is the opposite of the right angle
8^2+x^2=10^2
64+x^2=100
x^2=36
x=6
<span>6x+7=6
Subtract both sides by 7
</span>6x+7-7=6-7
6x=-1
Divide both sides by 6 to isolate x
6x/6=-1/6
x=-1/6