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3 years ago

SOMEBODY PLEASE HELP ME: Determine which side is the shortest in each diagram:

Mathematics

2 answers:

Art [367]3 years ago

7 0

In any triangle, the smallest side and smallest angle are opposite one another.

so in triangle DFG the shortest side is DG because it is opposite 52 degrees

in triangle EFG the shortest side is EG because it is opposite 47 degrees

I AM USING THE NUMBER IN THE DIAGRAM. i ASSUME THEY ARE CORRECT?

DG< EG

Juliette [100K]3 years ago

4 0

Answer:

DG is the shortest side.

Step-by-step explanation:

The problem can also be solved by using sine rule:

sin47/EG = sin48/FG = sin85/EF

So EG is the shortest in triangle EFG

In triangle DEG, sin52/DG = sin67/EG = sin61/DE

So DG is the shortest side and it is equal to:

DG = EG*sin52/sin67

Because sin52/sin67 < 1, DG < EG

DG is the shortest side.

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What are the Ratio 4:5 and 8:10?

miv72 [106K]

Answer:

4/5 = 80% and 8/10 = 80%

Step-by-step explanation:

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3 years ago

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ 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)

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

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

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

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3 years ago

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Answer:

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n² - 4n - 21 = 0

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2 years ago

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ValentinkaMS [17]

Hello there.

<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

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The number of people that could be fed from the 24 pizzas is 72.

Hope This Helps You!
Good Luck Studying ^-^</span>

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