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4 years ago

Which of the following choices is the geometric mean of 11 and 4?

Mathematics

1 answer:

Kipish [7]4 years ago

7 0

Hey there!

Geometric mean=X1*X2*X3....*Xn^1/n

Where x1,x2,x3...etc are all the numbers you have to work with and n is the number of total numbers being considered.

so we have here first let’s get the 1/n exponent out if the way;

1/n=1/2 since n=2 numbers used total, and we were given two numbers, 11 and 4. So that’s that part. Easy enough right? Great!! Now we have

(4*11)^1/2 =sqrt(44) = 2*sqrt(11)

So the answer is the next to Last or second choice.

Hope this helps you out and understand how to solve any geometric mean problem. Any questions please ask!!! Thank you so much!!

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Konrad raised $75.50 for his football team. He raised 151% of his fundraising goal how much more then his fundraising did Konrad

Colt1911 [192]

Answer:

He raised $25.50 over his fund raising goal

Step-by-step explanation:

Here, we want to calculate his fund raising goal.

Let his fund raising goal be $x

We are told that he raised 151% of his fundraising goal;

Thus,

mathematically;

151% of x = 75.5

151/100 * x = 75.5

151x = 100 * 75.5

151x = 7550

x = 7550/151

x = $50

So the amount he raised over his fund raising goal will be $75.50 - $50 = $25.50

8 0

3 years ago

Which following not composite 45,35,41,33 and tell me how

adell [148]

41 is not a composite number because you can not divide 41 with any number. Therefore, it is prime.

4 0

3 years ago

Please help me! 7 points!! I don’t understand

SVETLANKA909090 [29]

This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.

For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.

Components first. In the east direction we have

300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour

In the north direction we have

0 + 100 sin 30° = 100 (1/2) = 50 miles per hour

So a total speed of

sqrt{386.6^2 + 50^2} = 389.82 miles per hour

Answer: 389.82

--------

OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.

$c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ$

$c=\sqrt{151961.52422} = 389.82 \quad\checkmark$

5 0

3 years ago

Please help me i need to complete this by tomorrow

lisov135 [29]

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

8 0

2 years ago

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of

White raven [17]

Answer:

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The standard deviation is the square root of the variance.

In this problem, we have that:

$\mu = 6, \sigma = \sqrt{4} = 2$

Find the probability that a person will wait for more than 7 minutes.

This is 1 subtracted by the pvalue of Z when X = 7. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{7 - 6}{2}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

7 0

3 years ago