The area of a parallelogram = base(b) × height(h)
Here the base value = 12.0 in
while the value of the height is not given but the angle of the base with it adjacent side is given that is here 45°
Let the magnitude of height or altitude be x
So the value of x can be find out by trigonometry
Here we can write tan(45°) = x/6.5 in
then the value of tan(45°) = 1
so 1 × 6.5 = x
therefore the value of x= 6.5
Now we can find the area of the parallelogram such that base × height = (6.5×12) in^2 = 78.0 in^2 (ans)
Hope it helps
Answer: ###########
Step-by-step explanation:
YW :)
Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
estimated proportion of people who thought the economy is getting worse
is the value that we want to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Answer:
3.0314977 inches
Step-by-step explanation:
We are given 77 millimeters.
It is required to convert it in the terms of inches.
As, we know that,
1 millimeter = 0.0393701 inches.
Then, 77 millimeters = 0.0393701 × 77 = 3.0314977 inches
Hence, we get converting 77 millimeters into inches gives 3.0314977 inches.
i.e. 77 millimeters = 3.0314977 inches