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3 years ago

8

Brian makes a cleaning solution using a ratio of 4cups of water to 1 cup of vinegar. Which equationcould be used to find c, the

number of cups ofvinegar that Brian should use with 12 cups of water?

1 answer:

Darina [25.2K]3 years ago

4 0

The ration is 4 cups water:1 cup vinegar so c cups water:12 cups vinegar 4 water/1 vinegar =c water/12 vinegar cross multiply so 12 times 1 and 4 times c so you get 12/4c divide both sides by 4 and you get 3 c=3

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To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine fo

Blizzard [7]

Answer:

$t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44$

$df=n-1=9-1=8$

$p_v =P(t_{(8)}$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

Step-by-step explanation:

Data given

$\bar X=26.8$ represent the sample mean

$s=2.7$ represent the sample standard deviation

$n=9$ sample size

$\mu_o =29.9$ 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 exceed 29.9 or no, the system of hypothesis would be:

Null hypothesis: $\mu \geq 29.9$

Alternative hypothesis: $\mu < 29.9$

The statistic is given by:

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

Calculate the statistic

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

$t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44$

P-value

The degrees of freedom are given by:

$df=n-1=9-1=8$

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

$p_v =P(t_{(8)}$

Conclusion

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

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4 years ago

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mr Goodwill [35]

Answer:9+(7n-3)

Step-by-step explanation: and when n=8, the value of the expression is 62.

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3 years ago

Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Luda [366]

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = $\frac{1}{2}(AD+BC)$

By using expression for the length of a segment between two points,

Length of a segment = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between two points A(-5, -6) and D(3, 2),

AD = $\sqrt{(3+5)^2+(2+6)^2}$

AD = $\sqrt{64+64}$

AD = $\sqrt{128}$

AD = $8\sqrt{2}$

Distance between B(-6, -2) and C(-4, 0)

BC = $\sqrt{(-6+4)^2+(-2-0)^2}$

BC = $\sqrt{8}$

BC = $2\sqrt{2}$

Therefore, m(YZ) = $\frac{1}{2}(8\sqrt{2}+2\sqrt{2})$

= $\frac{1}{2} (10\sqrt{2})$

= $5\sqrt{2}$

Option C will be the answer.

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3 years ago

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Darya [45]

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How many groups of 1/4 are in 3. Draw a tape diagram

BaLLatris [955]

Answer:

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Step-by-step explanation:

Look up the tape diagram part

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