All categories

3 years ago

Which of these points lies on the line described by the equation below?

Mathematics

2 answers:

Naddika [18.5K]3 years ago

5 0

Answer:

The answer should be: B. (9,3)

Zinaida [17]3 years ago

5 0

Answer: B. (9,3)

Step-by-step explanation:

To solve this problem, we start organizing the equation to the Slope intercept form:

$y=5(x-9)+3$

$y=5x-45+3$

$y=5x-42$

Where 5 is the positive slope of the line, and -42 is the y-axis intercept. knowing the y-intercept, we may infer that choices C or D are incorrect, because values must be lower than -42. Thus, we replace the x value of choices A and B to verify which one applies:

Choice A

$y=5(3)-42$

$y=-27$

$27\neq 9$

Choice B

$y=5(9)-42$

$y=3$ Correct!

You might be interested in

Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 mi

Veronika [31]

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

$\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683$

Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51$

The degrees of freedom is:

df = n - 1

= 36 - 1

= 35

Compute the p-value as follows:

$p-value=P(t_{35}$

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.