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anygoal [31]
2 years ago
12

Mr. Adams has 14 boys and 8 girls in his mathematics class. If he chooses two students at random to work on the board, what is t

he probability that both students chosen are boys? Show your work. (DO NOT GIVE LINKS)
Mathematics
2 answers:
Gwar [14]2 years ago
7 0

Answer:

\frac{13}{33}

Step-by-step explanation:

14 + 8 = 22

14/22

22 - 1 = 21

14 - 1 = 13

The next time there are 21 students and 13 boys.

13/21

14/22 × 13/21

13/33

olga55 [171]2 years ago
4 0

Answer:

7/11

Step-by-step explanation:

Total students (14+8) = 22

Boys = 14

Probability for boys,

= 14/22

= 7/11

I'm not sure. Hope, this is correct.

You might be interested in
A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.
Licemer1 [7]

To find volume, we will use the following equation: V=4/3piR^3

The correct answer should be 1436.76

4 0
3 years ago
The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.
ElenaW [278]

well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.

B)

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x

A)

Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.

5 0
3 years ago
Consider the system of equations y= -2 + 4, 3y+x=-3 which statement is true of the system of equations
WINSTONCH [101]
3x-4y+2 hahahaha its not me pep perillp ie eewewr its jwghvjbe rijwte ru
4 0
3 years ago
23. Find the perimeter and area of the rectangle below. 10x^2 7xy^2​
coldgirl [10]

Answer:

Area= 70x^3y^2

Perimeter = 20x^2 + 14 xy^2

Step-by-step explanation:

Area is just multiplying the length and width, I multiplied the constants first which gets us 70 then multiplied the variables, they combine however only the x's can be multiplied to each other which results in 70x^3y^2 .  The perimeter you just multiply the length by two and the width by two, they are separate because the variables when added to each other do not combine.  

4 0
2 years ago
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