Answer:
40
Step-by-step explanation:
(252-12)/6=40
Hello there! We can answer through division here, given there are 12 donuts in a dozen:
46.2 divided by 12 gives us 3.85 dozens. However, there cannot be a fraction of a dozen in representation of a whole. Rounding to the nearest dozen, we will find that there are about 4 dozens in 46.2 donuts.
For there to be a value of 46.2 donuts, there had to have been more donuts to start with in the dozen. Therefore, we would round up. If there were 3 dozens, that would give us 36 donuts, which would not make sense because there are 46.2 present.
Hope this helps!
28% interest would be your answer, you just divide 560/2000=.28
Answer:
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

Find the probability that he weighs between 170 and 220 pounds.
This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.
X = 220



has a pvalue of 0.6554
X = 170



has a pvalue of 0.2743
0.6554 - 0.2743 = 0.3811
0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.
Answer:
d=60°
Step-by-step explanation:
Both angles are equal to each other because they are vertical angles and are therefore congruent.