Answer: 1.300228
Step-by-step explanation:
The t-score we use for the confidence interval is two-tailed , i.e. the t-score should be used to find a () is given by :-
, where n is the sample size.
Given : Level of confidence:
Significance level :
Sample size : n= 47
Then, degree of freedom :
Now by using standard normal t-distribution table,
Hence, the t-score should be used to find a 80% confidence interval estimate for the population mean = 1.300228
Answer:
7.68 s
Step-by-step explanation:
The vertical motion formula is:
<u>Where:</u>
h(t): is the final height = 0
h(0): is the height of the cliff = 104 foot
v(0): is the initial velocity = 110 ft/s
g: is the gravity = 9.8 m/s² = 32.15 ft/s²
Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:
We have two solutions:
t₁= -0.84 s
t₂ = 7.68 s
We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.
I hope it helps you!
Answer:
$112.08 every year.
Step-by-step explanation:
Let's suppose a game in which we bet a certain amount of money ''A'' to a certain result and the probability of that result is ''p''. If the prize that we get is ''P'' therefore the expected value of gain is :
Now,let's suppose that the female is ''betting on her death'' ⇒
P(she survives) = 0.999592
P(she doesn't survive) = 1 - 0.999592=
E(25-year old female) =
The negative sign of E is important.It means that every year the 25-year old female will lose $112.08.
Therefore, the expected value of this policy to the insurance company is $112.08 every year.