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Genrish500 [490]
2 years ago
6

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)

?
Mathematics
2 answers:
natita [175]2 years ago
6 0
1/3 . 1/3 i just took the test.
torisob [31]2 years ago
6 0

Answer:

\frac{1}{9}

Step-by-step explanation:

Given :A spinner has three equal sections labeled 1, 2, and 3. It is spun twice.

Solution :Which expression can be used to determine P(2, then 1)?

Solution :

Total no. of events = {1,2,3}=3

When it is spin for the first time .

Since we are given in the first spin she should get 2

No. of Favorable events ={2}=1

probability of getting 2 = \frac{\text{No. of favorable events}}{\text{No. of total events}}

= 1/3

In second spin she should get 1

No. of Favorable events ={1}=1

probability of getting 1= \frac{\text{No. of favorable events}}{\text{No. of total events}}

=\frac{1}{3}

Thus  P(2, then 1) = \frac{1}{3} *\frac{1}{3}

Hence the expression : P(2, then 1) = \frac{1}{3} *\frac{1}{3}

                                                         = \frac{1}{9}

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It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?
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400 cents or four dollars

Step-by-step explanation:

If 2x10=20, then you could multiply the 40 by 10 to get the answer.

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Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.
djverab [1.8K]

Answer:

  • Not equivalent

Step-by-step explanation:

  • 13t - 3t = (13 - 3)t = 10t
  • 3t - 13t = (3 - 13)t = -10t
  • 10t ≠ -10t

They are not equivalent

<u>When t = 2</u>

  • 13t - 3t = 13*2 - 3*2 = 26 - 6 = 20
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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev
Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 30.05 inches

           \sigma   = standard deviation = 0.2 inches

             n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches)  = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z < 3) = 0.99865

 P(X bar <= 30.25) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches)  = 0.99865 - 0.97725

                                                                                       = 0.0214

                                       

7 0
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