Victor has $90,000 in a savings account that earns 14% annually. The interest is not compounded.How much will he have in 4 month
1 answer:
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Split the surface area into geometric shapes as shown in the figure below.
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Answer:
If we compare the p value and using any significance level for example always
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance
Step-by-step explanation:
Data given and notation
represent the number of correct answers for university degree holders
represent the number of correct answers for university non-degree holders
sample 1 selected
sample 2 selected
represent the proportion of correct answers for university degree holders
represent the proportion of correct answers for university non-degree holders
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
Calculate the statistic
Replacing in formula (1) the values obtained we got this:
Statistical decision
For this case we don't have a significance level provided , but we can calculate the p value for this test.
Since is a one side test the p value would be:
If we compare the p value and using any significance level for example always
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance