Answer:
m<BCD is 62 degrees
Step-by-step explanation:
From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;
Hence;
m<CAB = m<CBA
Also
m<CAB + m<CBA = m<BCD
31 + 31 = m<BCD
Swap
m<BCD = 31 + 31
m<BCD = 62 degrees
hence the measure of m<BCD is 62 degrees
Answer:362
Step-by-step explanation:
You need to multiply
Given system:
-2x-y=1 ....................(1)
-4x-2y=-1 ..................(2)
2*(1) -(2)
-4x-2y +4x+2y = 2-(-1)
0=3 => there is no solution because the two lines (equations) are parallel and distinct (never meet), so no solution.
Answer:
thank you ^-^
Step-by-step explanation:
you too :)
Answer:
The value of the test statistic is z = -0.877.
Step-by-step explanation:
Testing the difference in mean time spent on housework between husbands and wives.
At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that 
For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.
This means that 
What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?



The value of the test statistic is z = -0.877.