Answer: y = 0.5, x = 50
Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:
a triangle has 180 degrees so we subtract the given 50 which gives us 130
2(2y + 64) = 130
4y + 128 = 130
y = .5
This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:
2(45 - x/4) = 65
x = 50
This means the bottom 2 angles of the second triangle are both 32.5.
Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics : 


a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women = 
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-

Given : Significance level : 
Critical value : 
Margin of error : 
Now, the 90% confidence interval for the population mean will be :-

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)
Answer:
12
Step-by-step explanation:
The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.
9 / 3 = 3, so 3 is the factor of increase.
Now we need to do 4 x 3 = 12
So, ? = 12
<em>Hope that helps!</em>
<em>-Sabrina</em>
Step-by-step explanation:
She gets $220 in an 8 hour work day.
Hello from MrBillDoesMath!
Answer:
+\- 10i
Discussion:
Fortunately, I can do this one in my sleep...... );
+\- sqrt(-100) =
+\- 10 i where i = sqrt(-1)
Thank you,
MrB