Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallon
1 answer:
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Answer:
There is sufficient evidence to support the claim that the mean temperature is different from 42 deg
Step-by-step explanation:
From the given information, we are being told that:
The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F
i. e mean μ = 42
The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
From above;
The null and the alternative hypothesis can be computed as:
Here , the hypothesis test of the claim is the alternative hypothesis.
The conclusion based on the decision rule: is to reject the null hypothesis
∴
The conclusion in non technical terms is that :
There is sufficient evidence to support the claim that the mean temperature is different from 42 deg
Step-by-step explanation:
The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.
Substituting into point slope form, we get:
y + 6 = ⅓(x+6)
<u>Part (a)</u>
The variable y is the dependent variable and the variable x is the independent variable.
<u>Part (b)</u>
The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .
Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.
Therefore, the price of the fair admission is: $43.75-$31.25=$12.5
If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:
......Equation 1
<u>Part (c)</u>
The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.
Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.