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2 years ago

Suppose you are throwing a lunch event for 100 people.

1 answer:

Ber [7]2 years ago

3 0

The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is <u>9%</u>.

<h3>What are the requirements of a binomial distribution?</h3>

The requirements of a binomial distribution include:

Independent observations
Fixed number of observations
Equal probability of success for each observation
Each observation falls into the success or failure categories.

<h3>What is probability?</h3>

Probability is the likelihood of an event occurring given the possibility of many outcomes.

Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.

<h3>Data and Calculations:</h3>

Expected guests = 100

Expected vegans = 5%

Less than 10 vegans = 9

The chance that 9 vegans will attend the event = 9/100 = 9%.

Thus, the probability of having less than 10 vegans attending the event is <u>9%</u>.

Learn more about probability at brainly.com/question/13604758

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∠WXY and ∠ZXY are adjacent angles. What equation must always be TRUE? m∠WXY=m∠ZXY

Hitman42 [59]

Answer:

m∠WXY+m∠ZXY=m∠WXZ

Step-by-step explanation:

You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.

Answer: m∠WXY+m∠ZXY=m∠WXZ

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3 years ago

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Answer: Choice B) Investment decreases by 3% each month

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Explanation:

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The base of the exponential is 0.97

Set this equal to 1+r and solve for r

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3 years ago

Find x in the given figure. answers: 18 144 24 9

Blababa [14]

Answer:

x = 24°

Step-by-step explanation:

To find 'x', the Alternate Exterior angle postulate will need to be used.

'4x + 9' and '2x + 27' are alternate exterior angles. Therefore, they must sum up to 180.

180 = 4x + 9 + 2x + 27

Combine like terms:

180 = 6x + 36

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4 years ago

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Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on t

motikmotik

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^{2} +b^{2} = c^{2}$ .... which a and b are the two sides while x is the diagonal.

$5^{2} +12^{2} = x^{2}$

$25 + 144 = x^{2}$

$169 = x^{2}$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

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3 years ago