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musickatia [10]
3 years ago
6

In a certain Algebra 2 class of 25 students, 13 of them play basketball and 11 of them play baseball. There are 4 students who p

lay neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

\frac{4}{5}

Step-by-step explanation:

Given: There are 2 classes of 25 students.

            13 play basketball

            11 play baseball.

            4 play neither of sports.

Lets assume basketball as "a" and baseball as "b".

We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)

As given total number of student is 25

Now, subtituting the values in the formula.

⇒P(a∪b)= \frac{13}{25} +\frac{11}{25} -\frac{4}{25}

taking LCD as 25 to solve.

⇒P(a∪b)= \frac{13\times 1+11\times 1-4\times 1}{25} = \frac{20}{25}

∴ P(a∪b)= \frac{4}{5}

Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is \frac{4}{5}.

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The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length
Lena [83]
In the problem, two legs measurement were given such as:
Leg 1 = 12 inches
Leg 2 = 15 inches

We need to solve for the third leg. Since it is a right triangle, we can use Pythagorean theorem in solving the missing leg:
c²=b²+a²

When we assume that the third leg is the "c", we can for the value such as:
c² = 12²+15²
c=19.21

When we assume that the third is either "a" or "b":
15² =a² + 12²
a=9

Then, the possible measurement of the third leg is 9 or 19.21.
The difference between the two possible answer is shown below:
Difference = 19.21 -9 = 10.21
Difference =10.21
6 0
3 years ago
abrl,belle and cindy have $408 altogeter.belle has $7 more than cindy and $5 more than abel.how much does abel have?
faltersainse [42]
ABC = 408 
C + 7 = B
A + 5 = B 

B - 7 + B - 5 + B = 408
3B - 12 = 408
     + 12 = +12
3B = 420
/3   = /3
B = 120
A = 115
C = 113
The answer is A = 115, Abel has $ 115

4 0
3 years ago
Mari bought 6 packets of tomato seeds. Each
Sphinxa [80]
 Mari bought 6 packages of tomato seeds and each package contains 24 seeds then
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 Mari has a total of 144 seeds.
 Mari planted a pack of seeds and has 15 germinated seeds.
 144-24-15 = 105
 Mari then has 105 seeds left.
 Answer
 C At least 100 but no more than 120 seeds will sprout
5 0
3 years ago
Read 2 more answers
Stan pays a 10% deposit to put a pool table on lay-by.
Lera25 [3.4K]

Answer:

$1431

Step-by-step explanation:

If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.

6 0
2 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
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