Answer:
4 ounces of corn and 4 ounces of squash
Step-by-step explanation:
Let S be the no. of ounces of squash
Let C be the no. of ounces of corn
C》2 --> (A)
S》C --> (B)
Total protein 》 3
½C + ¼S》3 --> (C)
Solve A and C simultaneously
½(2) + ¼S = 3
¼S = 2
S = 8
C = 2, S = 8
Solve B and C simultaneously
½S + ¼S = 3
¾S = 3
S = 4
C = 4, S = 4
Three possible extreme combinations
C = 2, S = 8: Total = 10
C = 4, S = 4: Total = 8
Minimum is 8 ounces
Answer:
Option b. should not be rejected
Step-by-step explanation:
We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.
We have to test whether the variance of the population is significantly more than 0.003, i.e.;
Null Hypothesis,
:
=
Alternate Hypothesis,
:
The test statistics used here for testing variance is;
T.S. =
~
where, s = sample standard deviation = 0.06
n = sample size = 26 cans
So, Test statistics =
~ 
= 30
So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.
Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.
Answer:
Read explain
Step-by-step explanation:
The steps taken to solve this system of equations would first be:
1. Sub 4x-2 into your first equation, 2x+5(4x-2)= 12 ->
2. Solve/simplify this equation to get x=1
3. Sub x=1 into your second equation and solve for y = 2
4. Get the solution (1,2)
The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).
<h3>How to determine the fence's dimension?</h3>
Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
<u>Where:</u>
- P is the perimeter of a rectangle.
- L is the length of a rectangle.
- W is the width of a rectangle.
Since the length of this fence is 5 more than 3 times the width, we have:
L = 3W + 5
Substituting the given parameters into the formula, we have;
200 = 2(3W + 5 + W)
200 = 2(4W + 5)
200 = 8W + 10
8W = 190
W = 190/8
W = 23.75 feet.
For the length, we have:
L = 3W + 5
L = 3(23.75) + 5
L = 76.25 feet.
Read more on perimeter of a rectangle here: brainly.com/question/17107023
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<h2>
Answer:</h2>
Variance
<h2>
Step-by-step explanation:</h2>
The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma
, while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as 