Answer:
20 miles
Step-by-step explanation:
Let
x = total number of miles she wish to run the end of this month
If Carrie is 55% of the way to achieving her goal and she has already run 11 miles
55% of her total miles = 11 miles
55% of x = 11 miles
55/100 * x = 11 miles
0.55x = 11
Divide both sides by 0.55
x = 11 / 0.55
= 20
x = 20 miles
x = total number of miles she wish to run the end of this month = 20 miles
She is trying to run 20 miles by the end of this month
Answer:
(-5, -8)
Step-by-step explanation:









Answer:
y = -2x
Step-by-step explanation:
We have direct variation means
y =kx
We know y and x
10 = k (-5)
Solve for k by diving by -5
10/-5 = k (-5)/-5
-2 = k
y = -2x
Given:

Simplify in the from of numerators and denominators.

solve the inequality is:
To solve for the confidence interval for the true average
percentage elongation, we use the z statistic. The formula for confidence
interval is given as:
Confidence interval = x ± z σ / sqrt (n)
where,
x = the sample mean = 8.63
σ = sample standard deviation = 0.79
n = number of samples = 56
From the standard distribution tables, the value of z at
95% confidence interval is:
z = 1.96
Therefore substituting the known values into the
equation:
Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)
Confidence interval = 8.63 ± 0.207
Confidence interval = 8.42, 8.84
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