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3 years ago

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Kim is earning money for trip. She has saved $60 and earns $10 an hour babysitting. The total amount of money earned(y) after (x

) number of hours is given by the equation y= 10x+60. How many hours will she need to work in order to earn $300 for her trip?

1 answer:

djverab [1.8K]3 years ago

7 0

Answer:

14 hours

Step-by-step explanation:

Total Money Earned (y) = 10x + 60 = 160

300 - 160 = 140

140 / x

= 14

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Hi there!

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We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

$\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }$

Plug in points from the line:

$m = \frac{0- 3 } { 3 - 0} = -1$

We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:

y ≥ -x + 3

The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:

$m = \frac{1-(-3)}{2-0} = 4/2 = 2$

The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.

Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:

y > 2x - 3

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3 years ago

What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is

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Which expression is equivalent to – 2( –8v – 4)+6v?

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Answer:

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Step-by-step explanation:

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3 years ago

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inn [45]

Answer:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

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And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

$\bar X=12.2$ represent the sample mean fould against

$s=1.6$ represent the sample standard deviation

$n=34$ sample size

represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:

Null hypothesis: $\mu \leq 11.5$

Alternative hypothesis: $\mu > 11.5$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

P value

The degreed of freedom are given by:

$df = n-1=34-1=33$

Since is a one side test the p value would be:

$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

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3 years ago