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3 years ago

Select the quadrant or axis where each ordered pair is located on the a coordinate plane

Mathematics

1 answer:

Ivan3 years ago

3 0

Step-by-step explanation:

Quadrant 1 is when the x axis and y axis is both positive.

Quadrant 2 is when the x axis is negative and the y value is positive.

Quadrant 3 is when the x axis and y axis is negative.

Quadrant 4 is when the x axis is positive and y value is negative.

When the point is on the x axis that means it y intercept is 0.

When the point on the y axis, it x intercept is 0.

2,4 is in quadrant 1

0,-3 is y axis

-1,1/2 is in the second quardrant

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An automobile manufacturer claims that its car has a 33.7 miles/gallon (MPG) rating. An independent testing firm has been contra

Gnoma [55]

Answer:

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=34$ represent the sample mean

$\sigma=\sqrt{2.56}= 1.6$ represent the population standard deviation

$n=120$ sample size

$\mu_o =33.7$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypotheses.

We need to conduct a hypothesis in order to check if the true mean is 33.7 mpg or no, the system of hypothesis would be:

Null hypothesis: $\mu =33.7$

Alternative hypothesis: $\mu \neq 33.7$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

6 0

3 years ago

Which relation is a function?

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

A function is that of which has only one x value. Therefore you are looking for the graph that does not have multiple x values. Doing a vertical line test to see whether there is more than one point on a line of the graph will show you that A is the only one that has one answer for each x value that is given. All the other graphs have two points for some of the x's, which makes them not a function.

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3 years ago

Mr. Sanchez’s class sold snickers for 1.50 each and Mr. Kelly’s class sold bottles of fruit juice for 1.26 each. Together, the c

Anon25 [30]

Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

Step-by-step explanation:

Step 1:

Assume x is the number of snickers sold and y is the number of fruit juices sold. It is given that both the classes sold 82 items in total. so

$x + y = 82$ , take this as equation 1.