Answer:
-1.28
Step-by-step explanation:
You would put these two equations into a graphing ccalculator:
y = -4x - 1
and
y= 5^x + 4
Wherver they intersect is your answer.
These two happen to intersect at (-1.28,4.13)
Since the equation has x-values, you would give the first number (x-coordinate) as your answer.
The sample size must be 543 so the sample proportion is will not differ by 5%
We are given the following in the question:
Margin of error = 5%
Confidence interval:
p ±z√(p'(1 - p')/n)
Margin of error =
p = ±z√(p'(1 - p')/n)
Since no particular proportion is given, we take
p' = 0.5
Z critical at α 0.02 is ± 2.33
Putting values, we get,
p = ±z√(p'(1 - p')/n)
2.33 x √(0.5(1 - 0.5)/n)
√n = 2.33x 0.5/0.05
n = 542.89 = 543
Thus, the sample size must be 543 so the sample proportion is will not differ by 5%
To learn more about confidence interval refer here
brainly.com/question/15712887
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The answer is 
First you must use distributive property to simplify.
Then, you must subtract 18 on both sides
Next, add 2 on both sides
Then, subtract 8x on both sides
Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.
Answer:
5 1/3 grams per serving
Step-by-step explanation:
To get a unit rate, we want a 1 in the denominator
4 grams
3/4 servings
4 * 4/3 grams per serving
16/3 grams per serving
5 1/3 grams per serving
