Answer:
The measure of Angle A is 45.5 degrees
Step-by-step explanation:
In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.
A + B + C = 180
2x + 4 + 3x + 5 + 3x + 5 = 180
8x + 14 = 180
8x = 166
x = 20.75
Now we can find the measure of Angle A by putting the value of x in for x.
2x + 4 = A
2(20.75) + 4 = A
41.5 + 4 = A
45.5 = A
Answer:

Step-by-step explanation:

Hope this helps!
Answer:
Hence the best estimate is population with correct option is 74% and
the value for x=148
Step-by-step explanation:
Given:
A sample of 200
Of which 148 prefer brand new coffee
To Find:
Which statement is true?
Solution:
n=200
x=148
remaining 52 prefer old ones .
So estimate population proportion,
p=x/n
p=148/200
p=0.74
p=74 %
Now, when x=52
p=x/n,
p=52/200
p=0.26
p=26%
There is no option for 52 and 24 %
Hence x=148 and p=74%.
Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.