Step-by-step explanation:
Answer: 3 5/7
Hope this helps.
Answer:
The correct answer is: The test had 10 4-point questions and 30 3-point questions.
Step-by-step explanation:
Let t be the number of 3-point questions on the test
and
f be the number of 4-point questions on the test
Then,
According to the given statement that the test had 40 problems
Eqn 1
And
According to given statement that the total points are 130
Eqn 2
These equations form a system of linear equations in two variables.
Elimination method or substitution method can be used to solve the system.
So, from equation 1:
Putting t = 40-f in equation 2
Subtracting 120 from both sides
Putting f = 10 in equation 1
Subtracting 10 from both sides
Hence,
Number of 3-point questions = t = 30
Number of 4-point questions = f = 10
So,
The correct answer is: The test had 10 4-point questions and 30 3-point questions.
Center is (3, -4) and radius is 1
Step-by-step explanation:
- Step 1: Find center and radius of the circle with equation x² + y² - 6x - 8y + 24 = 0
The standard form of the equation of a circle is x² + y² + 2gx +2fy + c = 0, where center is (-g, -f) and radius = √g² + f² - c
By comparing the 2 equations, 2g = -6, 2f = 8 and c = 24
⇒ g = -6/2 = -3
⇒ f = 8/2 = 4
⇒ c = 24
Center = (-g. -f) = (3, -4)
Radius = √g² + f² - c = √3² + (-4)² - 24
= √9 + 16 - 24 = √1 = 1
Answer:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
Step-by-step explanation:
Given that:
The mean age of judges in Dallas is greater than 50.2 years.
If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:
The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2
i.e
The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2
i.e
Decision Rule: Fail to reject the null hypothesis.
The interpretation of this decision rule implies that:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)