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3 years ago

Plz help I need it!!!

Mathematics

1 answer:

Fed [463]3 years ago

7 0

Answer:

Different costs:

70+25+30+60 = 185

70+70+30+50 = 220

60+70+25+50 = 205

Least cost is $185

1. B-uford

2. C-umming

3. D-acula

4. $185

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Step-by-step explanation:

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A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o

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Answer:

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

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

Step-by-step explanation:

Information given

$\bar X=9.41$ represent the sample mean

$s=0.24$ represent the sample standard deviation

$n=81$ sample size

$\mu_o =9.33$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:

Null hypothesis: $\mu \leq 9.33$

Alternative hypothesis: $\mu > 9.33$

The statistic is given by:

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Replacing the info given we got:

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4 years ago

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Answer:

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is x and the height is y. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for x and y:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

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