13-3c+125d-49c+2d =13-52c+127d
Answer:
Step-by-step explanation:
Given that,
H0 : µ = 50
Ha : µ ≠ 50
α = 0.05
x¯ = 47
s = 5.5
To find the score, we will use the formula below,
z =(x¯ − µ)/s/√n
z =47 − 50/5.5/√30
z = −3.0/1.0042
z = -2.988
z ≈ -3
The cumulative area for this z-score is 0.0013.
This is a two-tailed test:
P = 2(0.0013) = 0.0026.
Since P = 0.0026 < 0.05 = α, we make the decision to reject the null hypothesis.
This means that there is not enough statistical evidence to support the advertiser’s claim of an average of 50 miles per gallon.
Also,
The critical value for a two tailed test is zc = 1.96
Since it is observed that
|z| = |-3| = 3> 1.96 = zc
It is then concluded that the null hypothesis is rejected.
Confidence interval
Xˉ ± zc • σ/√n
47 ± 1.96 ×5.5/√30
47 ± 1.96
(45.032, 48.968) gallons
Answer: 450 yards
Step-by-step explanation:
From the question, we are informed that two blueberry farms are similar in shape and that the ratio of the side lengths of the farms is 4 : 5, and the smaller farm has a perimeter of 360 yards.
Since the smaller side which is denoted by 4 has a perimeter of 360, we divide 360 by 4 and then multiply the answer by 5 to get the perimeter of the larger blueberry farms. This will be:
= 360/4 × 5
= 90 × 5
= 450 yards
Step-by-step explanation:
Total ratio=4+11
=15
1st friend's share
= 4/15 x 150
=4 x 10
=£40
2nd friend's share
=11/15 x 150
=11 x 10
=£110