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Rus_ich [418]
4 years ago
10

Let b represent the hours Liz spends babysitting. Let t represent the number of hours she spends tutoring. Given that Liz can wo

rk at most 12 hours per week, write an inequality that models the number of hours she spends babysitting and tutoring in a week.
Mathematics
1 answer:
storchak [24]4 years ago
3 0
So if b is hours for babysitting, and t is for tutoring she works 12 hours so it would be 12=b+t
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Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv
Nesterboy [21]

Answer:

a) It is probability distribution

b) mean = 2.5

c) Standard Deviation = 1.11

Step-by-step explanation:

We are given the following in the question:

x          0           1           2         3          4          5

P(x)  0.033   0.149   0.318   0.318   0.149   0.033

Probability distribution:

\displaystyle\sum P_i(x_i) = 0.033+ 0.149 +0.318+ 0.318+ 0.149 +0.033 = 1

Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.

Mean of probability distribution:

E(x) = \displaystyle\sumx_iP(x_i)\\E(x) = 0(0.033)+ 1(0.149)+2(0.318)+3(0.318) +4(0.149) + 5(0.033)\\E(x) = 2.5

Thus, the mean of distribution is 2.5

Standard deviation of probability distribution:

E(x^2) = 0^2(0.033)+ 1^2(0.149)+2^2(0.318)+3^2(0.318) +4^2(0.149) + 5^2(0.033)\\E(x^2) = 7.492\\\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 7.492 - (2.5)^2 = 1.242\\\sigma= \sqrt{1.242} = 1.11

Thus, the standard deviation of the probability distribution is 1.11

5 0
4 years ago
A bad contains 8 black,3red and 9 white balls. If 3 balls are drawn at random, find the probability that none is red
LenKa [72]

Argument

You have a total of 8 + 9 + 3 balls = 20

The first ball is 17/20         Probability that no ball drawn is red the first time

The Second ball is 16/19   Probability that no ball drawn is red the 2nd time

The third ball is 15/18        Probability that no ball drawn is red the 3rd time

Answer

Total Probability = 17/20 * 16/19 * 15/18 = 34/57

My calculator figures out fractions. You can do this just as easily with decimals.

0.85 * 0.8421 * 0.8333333 = 0.5964

34/57 = 0.5965  which is close enough.

If you have choices, choose the one that coincides with my answer. Otherwise use the decimal value.

4 0
3 years ago
One half of an apple pie is left for
vlada-n [284]

Answer: It will be 2/10

Step-by-step explanation:because if you divide the half part that you have into five and the other one two you will have 10 pieces that divided into 5 members will be 2

8 0
3 years ago
Please help! Math problem is attached!!
sesenic [268]

Answer: i gotchu, it would be 22 ounces

Step-by-step explanation:

3 0
3 years ago
Sally can paint a room in 99 hours while it takes steve 44 hours to paint the same room. how long would it take them to paint th
Lena [83]
I solved a problem like this recently and the answer was the two subtracted, ill say the answer is 55.
3 0
3 years ago
Read 2 more answers
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