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.
Answer:
1 3/4 cups
Step-by-step explanation:
In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so
(8 * 4) + 3 = 
Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

So each container will get 7/4 of the Stew or 1 3/4 cups
Answer:
<u>A</u> He should ask his students to know what they prefer
Step-by-step explanation:
The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)
<h3>Factorization</h3>
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor, a number means to break it up into numbers that can be multiplied to get the original number.
In the given expression, 36x⁴y³ - 16x³y can be factorized as
36x⁴y³ - 16x³y = 4x³y(9xy² - 4)
The common factor in the expression is 4x³y
Learn more on factorization here;
brainly.com/question/8021175
#SPJ1
Answer:
A. The relationship is proportional.
C. The slope is negative.
✓ A. The relationship is proportional.
-> We have a one to one proportion because the relationship is linear
✗ B. The slope is –6.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✓ C. The slope is negative.
-> Because the line is going from top left to bottom right the line is negative
✗ D. The y-intercept is –3.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✗ E. The equation of the line is y = –3x.
-> Again, the slope should be -3/2, not -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather