Answer:

Step-by-step explanation:
Integrate your function with respect to x to get the non-differentiated form.

Plug in your known value of x to get your value for your constant

This gives you your function to be

Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x

so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
Answer:
1 unit = 3 inches
Step-by-step explanation:
We are given that 4 units = 12 inches.
This can be rewritten as 4x = 12
Then to solve for x, you divide 4 on both sides
so x = 12/4
x = 3
Let me know if you have any questions
The appropriate formula is
... z = (x - μ)/σ
Solving for x gives
... x = μ + z·σ
Substituting the given values lets you find x:
... x = 50 + 1.5·10
... x = 65
Answer:
95.64% probability that pledges are received within 40 days
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that pledges are received within 40 days
This is the pvalue of Z when X = 40. So



has a pvalue of 0.9564
95.64% probability that pledges are received within 40 days