Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
Answer:
8a+96
Step-by-step explanation:
8(12+a)
= 96+8a
The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.
Given:
16,12,10,15,7,9,16
Form the above data given;
Rearranging for easy identification, we have;
7,9,10,12,15,16,16
From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.
Therefore, the mode is 16.
Answer:
3/4
Step-by-step explanation:
12/16 can be simplified just divide by 4
hoped this helped
Answer:
-6.134 to +6.134
Step-by-step explanation:
given that a large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and a normal distribution
X is Normal with mean =6.1 and std dev = 1 unit
We are to determine the range of values containing 70% of the population of x
We know that normal distribution curve is bell shaped symmetrical about the mean.
So to find 70% range we can use 35% on either side of the mean
Using std normal distribution table the value of z for which probability from 0 to z is 0.35 is 1.034
Hence corresponding x value is
i.e. 70% values lie between
-6.134 to +6.134