Answer:
EBC and CBF are supplementary.
EBD=66
Step-by-step explanation:
Since vertical angles are congruent, ABE=CBF
ABE=40-x
40-x + 6x-30=90
5x+10=90
5x=80
x=16
16(6)-30=66
Answer:
parallel
a quadrilateral can be a parallelogram only and only if pair of opposite sides are equal and parallel.
Answer would probably be 3
Answer:
0.9699 = 96.99% probability of a bulb lasting for at most 637 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:

Find the probability of a bulb lasting for at most 637 hours.
This is the pvalue of Z when X = 637. So



has a pvalue of 0.9699
0.9699 = 96.99% probability of a bulb lasting for at most 637 hours.
Answer:
53
Step-by-step explanation:
Answer: (a) Let, k is the number of classes and n is the number of observation.
So we select the class intervals such that for the smallest value of k, 2^k > n is satisfied.
Given, n = 53