Answer:
t-distribution should be used to construct a confidence interval.
Step-by-step explanation:
We are given that a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50.
We have to determine whether a normal distribution (Z values) or a t- distribution should be used or whether neither of these can be used to construct a confidence interval.
<em><u>Since in this question we are provided with;</u></em>
Sample average weekly food expense, = $95.60
Sample standard deviation, s = $22.50
Sample of families, n = 18
The distribution that we will use here to construct a confidence interval will be <u>t-distribution</u> because in the question we don't know anything about population standard deviation .
Normal distribution is used when we know population standard deviation .
So, the pivotal quantity for confidence interval that will be used is One-sample t-test statistics;
P.Q. = ~
Therefore, t-distribution should be used to construct a confidence interval.
hey the answer is y=1.862x−0.138 just took the test!
9514 1404 393
Answer:
- rectangular prism: 288 ft³
- triangular prism: 72 ft³
- total: 360 ft³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
__
The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
__
The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
Answer: 120
"A analog clock is diveded up into 12 sectors, based on the numbers 1-12. one sector represents 30 degrees (360/12=30). if the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degree between then, thus they are 120 degree apart (30*4=120)."
Answer:
5r-2
Step-by-step explanation: