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adoni [48]
3 years ago
15

From a team of 5 students , two are chosen at random, without replacement. Calculate probability that the 1st student chosen is

team leader and the 2nd student chosen is assistant leader
Mathematics
1 answer:
choli [55]3 years ago
7 0

Answer

1/20

Step-by-step explanation:

Compound Probability=Probability1*probability2

Probability that the 1st student chosen is team leader:1/5

The 2nd student chosen is assistant leader:1/4 as one person is already chosen

multiply 1/5 by 1/4 you get 1/20

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Find the sum of the finite geometric sequence
lions [1.4K]

Answer:

45

Step-by-step explanation:

Use the geometric sum formula for in infinite sum. 20 terms of this basic formula is close enough The 20th term is 8.6 * 10^-10 which means this goes out to a number with 9 zeros after the decimal and before the 8.

Put another way, the tenth number of this series is the only one affected.

When you use a spreadsheet, it seems to know that the answer is 3/2 as the solution to the sum.

Solution.

Sum = a / (1 - r)

a = 1

r = 1/3

Sum = 1 / (1 - 1/3)

Sum = 1 // 2/3

sum =  3/2

Now you can worry about the 30.

30 * sum(1/3)^n = 30* 3/2 = 45

If there is something you want more information on, leave a note.

6 0
4 years ago
Sue solved an equation incorrectly, as shown below:
antoniya [11.8K]
She did not divide 28 by7
8 0
4 years ago
Write and solve an inequality<br> thirty is less than the sum of a<br> number x and 8.
VashaNatasha [74]

Answer:

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Step-by-step explanation:

subtract 8 from 30 to get 22

7 0
3 years ago
Simplify the expression 3 1/3/3 1/3. Explain how the expression and its simplified form show that the set of irrational numbers
vampirchik [111]
The expression given is ambiguous according to the standard rules of math (PEMDAS) due to the lack of appropriate parentheses and probably the exponentiation symbol ^.

From the context, I assume it to mean
(3^(1/3)) / (3^(1/3)) = 1

Since 3^(1/3) is the cube-root of 3, and is thus irrational.
However, the quotient is exactly 1, which is a rational number.

The example is therefore a counter-example for the statement that "set of irrational numbers is closed under division", or stated differently,
"<span>the set of irrational numbers is not closed under division"</span>
5 0
3 years ago
The probability of an outcome that lies within 95% of the mean is a good indicator that it lies in which standard deviation?
kumpel [21]

Answer:

answer b

Step-by-step explanation:

Answer b is definitely the correct one.

The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.

8 0
3 years ago
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