First insert 4 into the place of every z. Making the problem 7(4) -4. Next multiply 7 and 4 to get 28, then simply subtract 4. Your answer will be 24
Pt 1: 2 Ladybugs 3 Butterflies
Pt 2: 1 ladybug 4 butterflies
Pt 3: 5 Ladybugs 3 Ladybugs
Using the pythagorean theorem (a^2 + b^2 = c^2), this would make the equation 48^2 + b^2 = 80^2 (the hypotenuse must be plugged in as the "c" value).
Once you solve, this becomes 2304 + b^2 = 6400.
Subtract 2304 from 6400 and you get b^2 = 4096.
Take the square root of 4096 and you get b=64.
The answer is 64.
Answer:
56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day
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 a mechanic can complete 16 oil changes in an eight-hour day
16 oil changes in 8 hours is 2 changes per hour, that is, one each 30 minutes.
This probability is the pvalue of Z when X = 30. So



has a pvalue of 0.5675
56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day
Answer:
The result of -1/4 - 1249 is -4997/4
Step-by-step explanation:
Doing the basic math on the given expression:
Given expression = -1/4 - 1249
= (-1 - 4996) / 4
= -4997/ 4
= - 1249.2