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3 years ago

If he randomly chooses two students, one at a time, what is the probability that they are both girls?

Mathematics

1 answer:

kicyunya [14]3 years ago

8 0

Answer:

B) 15/91

Step-by-step explanation:

Probability of a girl as first choice is ...

number of girls / total number of students = 6/14 = 3/7

Probability of a girl as second choice (given a girl as first choice) is ...

number of girls / remaining number of students = 5/13

Then the probability of the two events is the product of their individual probabilities:

(3/7)·(5/13) = 15/91 . . . . . matches choice B

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Evaluate this piecewise function

ohaa [14]

Answer:

f(-2) = 2 and f(0) = 0.

Step-by-step explanation:

The piece wise function is given by, f(x) = x³ for x ≠ - 2 and f(x) = |x| for x = - 2.

Now, as defined above at x = -2, f(x) = |- 2| = 2

So, f(-2) = 2

Again, at x = 0, f(x) = x³ = (0)³ = 0.

So, f(0) = 0.

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3 years ago

Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum. How much more would he have gained if he had

lubasha [3.4K]

Ahmed could have gained 61 rupees more, if had given had given in compound interest.

Solution:

Given that Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum

Simple Interest calculation:

Principal = 8000

Rate of interest = 5%

Time = 3

Formula:

$S.I=\frac{p\times n\times r}{100}$

Where , "p" is the principal and "n" is the number of years and "r" is the rate of interest

Substituting the values in formula,

$S.I = \frac{8000 \times 3 \times 5}{100}\\\\S.I = 80 \times 3 \times 5 = 240 \times 5\\\\S.I = 1200$

Compound Interest calculation:

Principal = 8000

Rate of interest = 5% compounded annually

Time = 3

Formula:

$C.I=P(1+\frac{R}{100})^n-P$

Substituting the values in formula,

$\Rightarrow C.I=8000(1+\frac{5}{100})^3-8000\\\\\Rightarrow C.I=9261-8000\\\\\Rightarrow C.I=1261$

Therefore, the difference between the interests:

1261 - 1200 = 61

Thus he could have gained 61 rupees more, if had given had given in compound interest.

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4 years ago

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Answer:

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3 years ago

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4 years ago

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