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3 years ago

Select all the statements that best describe the graph below.

Mathematics

1 answer:

patriot [66]3 years ago

8 0

The Correct choices are :

The independent variable is Months

This is a positive relationship

The relationship is linear

The rate of change is constant

The dependent variable is dollars in savings account

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Find the equation of a line that passes the points (5, -9) and (0, -3)

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Answer:

y = -6/5x - 3

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find Slope

m = $\frac{y2-y1}{x2-x1}$

m = $\frac{-3 - (-9)}{0 - 5}$

m = $\frac{-3 + 9}{-5}$

m = $\frac{6}{-5}$

m = $\frac{-6}{5}$

Step 2: Plug into Point Slope Form

(y - (-3)) = -6/5(x - 0)

y + 3 - 3 = -6/5x - 3

y = -6/5x - 3

Answer: y = -6/5x - 3

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Your favorite restaurant has a promotion where you can win free food. You will roll 2 dice. The sum of the 2 dice will determine

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Step-by-step explanation:

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2 years ago

The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ 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)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

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)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

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

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

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The marching band of a school is holding a fundraiser. They are charging seven dollars to wash a car and they spent 45 dollars t

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A right triangle has three sides with length 148, 140, and 48. What is the length of the hypotenuse?

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145 i think im only three

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