Answer: The test statistic is t= -0.90.
Step-by-step explanation:
Since we have given that
n₁ = 50
n₂ = 25
So, s would be
So, the value of test statistic would be
Hence, the test statistic is t= -0.90.
a farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th
e barn does the ladder reach?
1 answer:
Answer:
11.6 ft
Step-by-step explanation:
I attached a diagram for you to easily visualize this problem.
To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.
Substitute 3, 12, and x into the pythagorean theorem like so.
a^2 + b^2 = c^2
3^2 + x^2 = 12^2
Evaluate the exponents.
9 + x^2 = 144
Subtract 9 from both sides.
x^2 = 135
Square root both sides.
x = 11.618
Round this to the nearest tenth: 11.6 feet.
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Answer:
Option(B) is the correct answer to the given question.
Step by Step Explanation
We know that
Here A=amount
r=15.98%=0.1598
n=365
t=1
Putting these values into the equation
Now we find the interest
I=
Therefore effective interest rate of the last year can be determined by
=0.1720 *100
=17.20%
∵ The formula of the compound interest is
→ A is the new amount
→ P in the initial amount
→ r is the interest rate in decimal
→ n is the number of periods
→ t is the time
∵ The initial amount is 800 dollars
∵ The annual rate is 3% = 3/100 = 0.03
∵ It is a compounded annually
∴ n = 1
∵ t = 5 years
→ Substitute all of these values in the formula above
→ Use the calculator to find the answer
∴ A = 927.4192594 dollars