Answer:
x = -9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x +8 = -10
Subtract 8 from each side
2x+8-8 = -10-8
2x = -18
Divide each side by 2
2x/2 = -18/2
x = -9
Answer:
y = -6x + 4
Step-by-step explanation:
2 parallel lines should have equal slope
Rewrite 6x + y = 92
It is now y = -6x + 92. Slope is -6
So the new equation should also have -6 as the slope.
y = -6x + b
Substitute (1,-2) into this equation
-2 = -6(1) + b
-2 = -6 + b
4 = b
So equation is y = -6x + 4
<h3>
Answer: 11.2 inches</h3>
Work Shown:
(real height)/(scale height) = (real length)/(scale length)
(10 feet)/(8 inches) = (14 feet)/(x inches)
10/8 = 14/x
10x = 8*14
10x = 112
x = 112/10
x = 11.2 inches
Answer:
standard error = 1.63
Step-by-step explanation:
To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).
To obtain the standard deviation we use the given sample variance of 77.4 years:
σ²= variance
Therefore:
σ = √77.4 = 8.8
Now we can calcuate the estimated standard error:
standard error = σ /√n = 8.8/√29 = 1.63
The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.