Answer:
The correct answer is third option
(10x² - 4) - (7x² + 3)
Step-by-step explanation:
From the given option we get the correct answer is third option.
(10x² - 4) - (7x² + 3)
<u>Check the correct answer</u>
(10x² - 4) - (7x² + 3) = 10x² - 4 - 7x² - 3)
= 10x² - 7x² - 4 - 3 = 3x² - 7
Therefore the correct answer is third option
(10x² - 4) - (7x² + 3)
Answer:
We need a sample size of 564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.
We need a sample size of n
n is found when 
So
Rounding up
We need a sample size of 564.
Answer:
2(x+4)
Step-by-step explanation:
Tom ate four more pieces of fruit than Janet. Sylvia ate twice as many pieces of fruit as Tom. If x represents the number of pieces of fruit that Janet ate, write an expression to represent the amount of fruit that Sylvia ate.
Janet: (X)
Tom: X+4
Sylvia: 2(X+4)
I started by making listing out who did what. Janet is stated as clearly X, so that's all we need for her.
The question says Tom ate four more pieces of fruit than Janet. This is simple addition since you're adding four to Janet's amount of fruit. Therefore this makes Tom's equation X+4.
Then Sylvia eats TWICE the amount as Tom. In simpler terms, she's doubling the amount of food Tom eats. Doubling something is simply multiplying it by two. Therefore, we take Tom's amount eaten, which we made into an equation in the paragraph before this one, and multiply it by two.
Placing parenthesis around Tom's equation means that that part is solved before its multiplied. We do this because we need to acknowledge that X+4 is its own equation that needs to be clarified/solved before being doubled. So, the answer is 2(X+4)
<span>The <u>correct answer</u> is:
A) Output = Constant/Input.
Explanation<span>:
Inverse proportion is also called inverse variation. In inverse variation, as one variable increases, the other decreases, but their product stays the same.
Algebraically their product would be represented by the equation
xy=k.
To isolate the output, y, we would divide both sides by x:
xy/x = k/x
y=k/x
In this equation, y is the output, x is the input, and k is called the constant of proportionality.
Based on this, the correct choice is output = constant/input.</span></span>
