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labwork [276]
3 years ago
12

Bob newds to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice.Bobvhas 6 cups of concentrate.Ho

w much orange juice can he make?
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
So, Bob needs 2 cups of concentrate (I'll use the variable c to shorten it) for every 3.5 cups of water (w). When he has 6 cups of c, he has three times the original recipe, and therefore we need 3w as well. 

3.5x2=6+1=7. So we need 7 cups of water.

Now, 6 cups of concentrate + 7 cups of water = 13 cups of orange juice.

Bob can make 13 cups of orange juice.

Hope I helped!
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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
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Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

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Cant answer

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Answer:

25%

Step-by-step explanation:

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3 years ago
Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle
GREYUIT [131]
If u and v are <span>supplementary angles, then

u+v=180^{\circ}~~~~~\mathbf{(i)}


The ratio of u and v is \dfrac{7}{13}:<span>

\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}


Substitute \mathbf{(ii)} into \mathbf{(i)}:

\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}


From \mathbf{(i)}, we find the measure of u:

u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}

</span></span>
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