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2 years ago

Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model

Mathematics

1 answer:

Crazy boy [7]2 years ago

5 0

Answer:

brown = 6 pairs

Step-by-step explanation:

3/5 = brown

2/5 = black

Ratio black brown therefore = 2 : 3

package 10 therefore = 4 : 6

brown = 6 pairs

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What is the solution to the system of equations graphed below?

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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab

WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)]) , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is 1/8 + 3/8+ 3/8+ 1/8 = 1

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2 years ago

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7g^3-2g+1+2g^2

7g^3+2g^2-2g+1

Hope this helps!

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3 years ago

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The length of a parasite in experiment A is 2.5 × 10–3 inch. The length of a parasite in experiment B is 1.25 × 10–4 inch. How m

torisob [31]

We have been given that :-

The length of a parasite in experiment A is $2.5 \times 10^{-3}$

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$=2.375 \times 10^{-3}$

Therefore, the length of the parasite in experiment A is $=2.375 \times 10^{-3}$ inches greater than the length of the parasite in experiment B.

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