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algol [13]
3 years ago
13

What's the probability? Please read carefully

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0
Answer: 5/14

--------------------------------------------------

Explanation:

A = event of drawing a blue card on the first selection
B = event of drawing a blue card on the second selection

P(A) = probability of drawing a blue card on the first selection
P(A) = (number of blue cards)/(number of cards total)
P(A) = 5/8

P(B|A) = probability of getting a second blue card GIVEN the first card is blue
P(B|A) = (number of blue cards left after event A happens)/(number of cards left)
P(B|A) = 4/7

The fact that B depends on A is very important. This happens because the first card is not replaced

Multiply the fractions
P(A)*P(B|A) = (5/8)*(4/7)
P(A)*P(B|A) = (5*4)/(8*7)
P(A)*P(B|A) = 20/56
P(A)*P(B|A) = 5/14

Which is why the answer is the fraction 5/14
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Can i have some help
Katarina [22]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the t
MrMuchimi

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

3 0
3 years ago
2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili
Fed [463]

Answer:

A

The value is P( X  <  7 ) =0.26226

B

The value is P( X  <  7 ) = 0.00073

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 7.7 lbs

   The standard deviation is \sigma  = 1.1 \ lbs

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     P( X  <  7 ) =  P( \frac{X - \mu }{\sigma}  <  \frac{7 - 7.7 }{1.1 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>   P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    P(Z

=>   P( X  <  7 ) =0.26226

Generally the standard error of mean is mathematically represented as  

       \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>     \sigma_{x} = \frac{ 1.1  }{\sqrt{25} }

=>     \sigma_{x} = 0.22

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         P( \= X  <  7 ) =  P( \frac{\= X - \mu }{\sigma_{x}}  <  \frac{7 - 7.7 }{ 0.22 } )

=>      P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      P(Z

=>      P( X  <  7 ) = 0.00073

4 0
3 years ago
Which of the following phrases are inequalities?
suter [353]

Answer:

B, C D

Step-by-step explanation:

Inequalities are the "alligators"  <   or >  or the "alligators" with lines  ≤  or ≥

<  less than

>greater than

≤  less than or equal to

≥  greater than or equal to

7 0
3 years ago
Read 2 more answers
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered
grigory [225]

The pair of equations that has (0, 8) as its solution is: A. equation A and equation C.

<h3>What is the Solution to a System of equations?</h3>

The solution to a system of linear equations that are graphed is the pair of x and y coordinates of the points where two lines intersect.

In the graph given, the lines representing equations A and C intersect at point (0, 8). Therefore, the pair of equation that has a solution of (0, 8) is: A. equation A and equation C.

Learn more about solution of a system of equations on:

brainly.com/question/847634

#SPJ1

5 0
2 years ago
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