Studio fee:$8 per hour Vase:$10
1 answer:
Answer:
4.5 hours
Step-by-step explanation:
So, let's write a function p(x) which represents the total cost.
Let's let x represent the amount of hours.
The cost of a piece is a constant 10.
And there is a $8 fee per hour. In other words:
We spent a total of $46.
So, substitute in 46 for p(x) and solve for x:
Subtract 10 from both sides:
Divide both sides by 8:
Reduce:
So, we spent about 4.5 hours.
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The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.
<h3>What is a chi-square test?</h3>A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.
Chi squared =
Where:
= observed value
= expected value.
The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.
To learn more about chi-square, please check: brainly.com/question/14082240
The value of x from the given diagram is 17
<h2>Vertically opposite angles</h2>From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X
Given that;
- m<2 = 4x + 2
- m<3 = 5x - 15
Equate both expressions to have:
m<2 = m<3
4x + 2 = 5x - 15
4x - 5x = -15 - 2
-x = -17
x = 17
Hence the value of x from the given diagram is 17.
Learn more on vertical angles here; brainly.com/question/1673457
