Answer:
A = 400 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the vertical height ) , then
A =
× 20 × 40 = 10 × 40 = 400 ft²
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≥ 50000
For the alternative hypothesis,
µ < 50000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = lifetime of the tyres
µ = mean lifetime
σ = standard deviation
n = number of samples
From the information given,
µ = 50000 miles
x = 45800 miles
σ = 8000
n = 29
z = (50000 - 45800)/(8000/√29) = - 2.83
Looking at the normal distribution table, the probability corresponding to the z score is 0.9977
Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.
The value is -21. Which you get by multiplying -7 and 3 together.
Answer: 9
Step-by-step explanation: To get the area of a square you do length times width. It has to be the same number so the square root of 81 is 9. Therefore your answer is 9.