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Inessa [10]
3 years ago
15

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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9. Solve the following system of equations. x + 2y − 6 = z 3y − 2z = 7 4 + 3x = 2y − 5z A. x = 0, y = 5, z = 4 B. C. D. x = 2, y
Inessa [10]
X + 2y - 6 = z..........x + 2y - z = 6
3y - 2z = 7
4 + 3x = 2y - 5z.....3x - 2y + 5z = -4

x + 2y - z = 6.....multiply by -3
3x - 2y + 5z = -4
---------------------
-3x - 6y + 3z = -18 (result of multiplying by -3)
3x - 2y + 5z = -4
--------------------add
-8y + 8z = - 22

-8y + 8z = -22
3y - 2z = 7 .....multiply by 4
----------------
-8y + 8z = -22
12y - 8z = 28 (result of multiplying by 4)
----------------add
4y = 6
y = 6/4 reduces to 3/2

-8y + 8z = -22
-8(3/2) + 8z = -22
-12 + 8z = -22
8z = -22 + 12
8z = -10
z = -10/8 reduces to -5/4

x + 2y - 6 = z
x + 2(3/2) - 6 = -5/4
x + 3 - 6 = -5/4
x - 3 = -5/4
x = -5/4 + 3
x = -5/4 + 12/4
x = 7/4

solution is (7/4, 3/2, -5/4).....x = 7/4, y = 3/2, and z = -5/4
4 0
4 years ago
On your tenth birthday, you received 500 which you invested at 9.5% interest, compounded annually. your investment is worth $250
igomit [66]
Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.
6 0
3 years ago
13. Which of the following is not an exponential function?
Amiraneli [1.4K]

Answer:

the answer to the question is y=5*

7 0
4 years ago
8 1/4 divided by t = 2/11<br> Answer for t
Westkost [7]

Answer:

1 1/2

Step-by-step explanation:

Turn 8 1/4 into 33/4

Then multiply 33/4*2/11 to get 66/44 then simplify to 1 1/2

4 0
3 years ago
Read 2 more answers
Pls help, I will give brainlist!
LenKa [72]

Answer:

Step-by-step explanation:

2.)A=\frac{bh}{2}

\frac{15*10}{2}=75.

3.) years to month

6 years is 72 month+2 month=74 month

month to days

74 month=2250.84days.

6 0
3 years ago
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