1. 875
2. 1066
3. 129 - 136
4. 22°F
5. -148°F
6. 1 dollar
Answer:
-(x^(307) - x + 5 - f (x)) = 0
Step-by-step explanation:
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.
Kyla makes a triangular school pennant. The area of the
triangle is 180 square inches. The base of the pennant is z inches long. The
height is 6 inches longer than twice the base length. The base and height can
be solve using the formal A =bh/2
Since b = z and h = 6 + 2z
180 = z(6+2z) /2
B =Z =12 in
H = 30 in