How can I find the volume of this fish tank
2 answers:
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Answer:
a. 3.5 inches by 4.5 inches
b. 1.5 inches
c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2
Step-by-step explanation:
A scale is a representative fraction showing the relationship between length on a drawing and actual length.
i.e scale =
scale = 1 inch : 4 feet
a. The dimensions in the drawing can be determined as;
1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.
= 3.5 inches
= 4.5 inches
Dimensions on drawing is 3.5 inches by 4.5 inches.
b. The length of the sofa is 6 feet, its length on the drawing is;
= 1.5 inches
c. To enlarge the scale so as to double the dimensions of the drawing, we have;
12 inches = 1 feet
4 feet = 4 × 12 = 48 inches
given scale = 1 inch : 48 inches
Thus, divide 48 inches by 2 and multiply 1 inch by 12.
scale = 12 inch : 24 inch
scale = 1 : 2
To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.
Answer:
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for :
Answer:
The first step is calculate the degrees of freedom, on this case:
Since is a one side right tailed test the p value would be:
And for this case we can conclude that:
And we will reject the null hypothesis at since
Step-by-step explanation:
Data given and notation
represent the mean height for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
t 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 mean is higher than 15, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
For this case the statistic is given:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side right tailed test the p value would be:
And for this case we can conclude that:
And we will reject the null hypothesis at since