Answer:
Answer: x = 33, y = 81..........
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:
In which:
f(3.5) = 25 means that:
f(8.5) = 14 means that:
Hence:
Hence, the function is given by:
Then, when x = 5.5:
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
1st problem is 748
2nd problem is 248
Step-by-step explanation:
263 + 748 = 1011
405 + 248 = 653
You just need to do this 1011 - 263 = 748
and 653 - 405 = 248
Thé transformation is that the function moved 6 units down
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