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viva [34]
3 years ago
5

In how many unique ways can 4 boys and 4 girls sit around a circle table if all the boys sit together?

Mathematics
1 answer:
vredina [299]3 years ago
3 0
Working it completely in my head, I come up with 2,880 unique ways. I'll check it when I get back to a computer with an actual keyboard, and also explain my reasoning if anybody's interested.
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5 (2x + 6) = -4(-5 - 23) + 3x
Luba_88 [7]

Answer:

x= 82/7

Step-by-step explanation:

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3 years ago
Given that the measure of ∠ is 45°, and the measure of ∠ is 49°, find the measure of ∠.
ankoles [38]

Answer:

86º

Step-by-step explanation:

If this is a trriangle the sum of the angles is 180º

180 - 45 - 49 = 86º

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2 years ago
Fred is going to take a flight from Miami, Florida, to San Francisco, California.
melisa1 [442]

Answer:

D. 7 h 15 min

Step-by-step explanation:

1. Convert 9:15 a.m. Eastern Time to Pacific Time. As you can see by the information given, Eastern Time is 3 hours ahead of Pacific Time. So, 9:15 a.m. Eastern Time is 6:15 a.m. Pacific Time.

2. Find the difference between 1:20 p.m. and 6:15 a.m.

1:20 p.m. = 13:20 p.m.

 13:20

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3 years ago
HELLLLLLLLLLLLLLLLLPPPPPPPPP
ahrayia [7]

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C

Step-by-step explanation:

-6(-2/3 + 2x)

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3 0
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Read 2 more answers
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
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