Answer:
nth term = 18 - 3n
Step-by-step explanation:
nth term = a + (n - 1)d
a1 = 15
d = -3
nth term = a + (n - 1)d
= 15 + (n - 1)-3
= 15 + (-3n + 3)
= 15 - 3n + 3
= 18 - 3n
nth term = 18 - 3n
For instance, if you want to find the 10th term
nth term = 18 - 3n
10th term = 18 - 3(10)
= 18 - 30
= -12
10th term = -12
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.
For this one the answer is Not equal
<h2>$40,000</h2>
Step-by-step explanation:
Andrew paid 30% in taxes, which means he has 70% remaining
30% Cash Prize + 70% Cash Prize = 100% Cash Prize
If C = Original Cash Price
Remaining Cash = 70% x C = $28,000
C = $28,000 / 70% = 28000/0.7 = $40,000
