Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the
2 answers:
Answer:
Step-by-step explanation:
We know that the base is 8 feet wide. The height of the pyramid is at the middle of this width, which forms a right triangle, with the angles formed by one side of the pyramid and the base.
Now, to find the expression of the height, we can use these given information and the trigonometric reasons. Specifically, we would use the tangent from the trigonometric reasons, because the height is the opposite leg to the angle, and the adjacent leg would be 4. So, the expression would be:
Therefore, the expression is
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Given :
A = 25000
P = 20000
r % = 9.6 % = 0.096
n = 12
To Find :
The time taken say t.
Solution :
We know, compound interest is given by :
Taking log both sides :
Hence, this is the required solution.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b) (1)
Replacing we got:
The p value for this case would be given by:
c) For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%
Step-by-step explanation:
Information given
n=400 represent the random sample taken
X=52 represent the workers belonged to unions
estimated proportion of workers belonged to unions
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
Part a
We want to test if the true proportion of interest is higher than 0.113 so then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
Part b
The statistic is given by:
(1)
Replacing we got:
The p value for this case would be given by:
Part c
For this case we see that the p value is higher than the significance level of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion workers belonged to unions is significantly higher than 11.3%
Answer:
Mr. Smith collects $5748 from selling the can.
Step-by-step explanation:
Given total number of cans =
Selling price of one can = $15.
Now remaining number of cans = total number of cans - sold number of cans =
For remaining number of cans he gives a discount of 20% each,
∴ Selling price of one can =
∴ Selling price of 54 cans =
So total money he earns = .
Thus Mr. Smith earns $5748 by selling the cans.