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3 years ago

Instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.

1 answer:

5 0

There are 14 marbles in the bag, and we either want to get 0 or 1 cracked one (out of 2 cracked marbles) in 4 draws. Since there are 12 uncracked marbles and 2 cracked ones:
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.

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Find a mathematical model that represents the statement. F varies directly with s and inversely as the square root of d. f=6 whe

gladu [14]

Answer:

Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find x when y = 44 and z = 6. Example 2 – If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

Step-by-step explanation:

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3 years ago

PLEASE HELP PLA

aleksley [76]

Answer:

$y = -x+8$

Step-by-step explanation:

The side that is parallel to BC is EF

Find the slope of EF:

$m = \frac{2-4}{6-4} =\frac{-2}{-2} =-1$

Easiest way is just put the formula in point-slope form and simplify.

Let's use point F, which is (6,2)

$y -2=-(x-6)$

Simplify:

$y-2=-x+6$

Add 2 on both sides:

$y = -x+8$

Hope this helped

5 0

2 years ago

Read 2 more answers

The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is known that 70% of the Am

AysviL [449]

Answer:

The variance for the number of tasters is 4.2

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

$V(X) = np(1-p)$

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20

This means that $p = 0.7, n = 20$

$V(X) = np(1-p) = 20*0.7*0.3 = 4.2$

The variance for the number of tasters is 4.2

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3 years ago

Ella was paid an 11 percent commission on the pair of shoes that she sold. The department store had paid $25 wholesale for the s

xxMikexx [17]

Answer:

The answer is B. $3.85.

Step-by-step explanation:

This is because, first if we get the percentage that the shoes were marked up by, we get that they were marked up to $35, because 40% of $25 is $10 and $25 + $10 = $35.

Then, we find the percentage of $35 that she earned. In order to do this, we see what 11% of $35 is. We get $3.85, because 10% of $35 is $3.50, and 1% of $35 is $0.35. $3.50 + $0.35 = $3.85.

This is why the answer is B. $3.85.

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2 years ago

Read 2 more answers

Practice Problem #1: Graph the function y = -x.

gavmur [86]

Answer:y=-y

Step-by-step explanation:

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3 years ago