Answer:
Step-by-step explanation:
- =
so + =
since all the denominators are the same we simply add the numerators to find x
x would be 8 +3 = 11
so is the answer
A nickel is worth 0.05 and a quarter is worth 0.25.
Multiply number of nickels by the worth and quarters by their worths. Add together to equal total value:
The equation is:
0.05n + 0.25q = $40
Answer:
n = √108
Step-by-step explanation:
Use similar triangles or the right triangle altitude theorem.
18/n = n/6
n^2 = 18 * 6
n^2 = 108
n = √108
Answer:
Step-by-step explanation:
Imagine that the point E is variable along the ED line.
As you lower E along ED, the angle EDG gets smaller and smaller, so this is the angle of depression.
Answer:
The bulbs should be replaced each 1436.9 hours.
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:
How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.
The bulbs should be replaced each 1436.9 hours.