Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Answer:
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Answer:
6) a) 15 inches
7) b) 4 cm
The side of the square 4 cm
8) C)
Area of the square = side ×side
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the perimeter of the square is twice the perimeter of the triangle
we know that the perimeter of the square = 4a and
The perimeter of the triangle = a+b+c
Given that the perimeter of the square is twice the perimeter of the triangle
4a = 2( a+b+c)
2a = 11 +9+10
2a = 30
a =15
The side of the square = 15 inches
<u><em>Step(ii):-</em></u>
<em>7) </em>
Given that the area of the square is equal to the area of the rectangle
a² = length × breadth
a² = 8×2 =16
a= √16
a = 4cm
8)
Area of the square = side ×side
What are the following things?