Answer:
135. 147+x=180, x=33, 33+97=130, 130+50=180, 90-50=40 40+95=135 the answer is 135 because that angle equals the sum of the other two angles in the triangle or 180 minus the angle right next to it.
Answer:
μ= 65 inches; σ= 0.625 inch
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
By the central limit theorem, the sample of 16 will have:
So the correct answer is:
μ= 65 inches; σ= 0.625 inch
Answer:
x = -7
Step-by-step explanation:
Eleven more than five times a number is equal to the difference between −38 and twice the number.
let x represent the number.
11 + 5x = -38 - 2x
7x +11 = -38.............add 2x to both sides
7x = -49................... subtract 11 from both sides
x = -7........................divide both sides by 7
9514 1404 393
Answer:
-4
Step-by-step explanation:
In a linear equation, the terms "unit rate", "rate of change", "constant of proportionality", and "slope" all refer to the coefficient of x (the independent variable).
Here, the coefficient of x is -4.
The slope is -4.
_____
<em>Additional comment</em>
Strictly speaking the "constant of proportionality" only refers to the x-coefficient (k) when the equation is of the form ...
y = kx . . . . . with no added constant
"Slope", "unit rate", and so on, can also refer to the x-coefficient (m) when the equation has a non-zero y-intercept (b):
y = mx + b
