Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts
Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:
8x + 6y ≤ 120 (1)
4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:
4x + 6y ≤ 96 (2)
The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.
If x, y ≥ 0, the solution to the problem is:
(0, 0), (0, 16), (15,0), (6, 12)
Answer:
1. 1/2 or .5 (same thing)
2. 1
3. -4k
4. 28n^5
Step-by-step explanation:
1.
2/2^2 → 2/4 = .5
2.
3^4/3^4 → 81/81 = 1
3.
3k^2/7k = -4k
4.
7n^4 x 4n = 28n^5
Answer:
pretty sure its B
Step-by-step explanation:
There are 48 green ribbons
<h3><u>Solution:</u></h3>
Given that the ratio of red ribbons to green ribbons is 4 to 6
Which can be written in following way:-

There are total number of 32 red ribbons
We have to determine the number of green ribbon
Let the number of green ribbon be ‘6a’
And number of red ribbons be "4a"
Given number of red ribbons = 32
4a = 32
a = 8
number of green ribbon = 6a = 6(8) = 48
Therefore number of green ribbons is 48
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.

The standard error of the proportion is:

The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).