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stepan [7]
4 years ago
10

There are 30 boys and 35 girls that try out for a chorus. The choir director will select 10 girls and 10 boys from the children

trying out. How many ways are there for the choir director to make his selection?
Mathematics
1 answer:
harina [27]4 years ago
3 0

Answer:

5.52 * 10^15 ways

Step-by-step explanation:

Given that there are 30 boys and 35 girls. The director will select 10 girls and 10 boys,

We use combinations when the question is on the number of ways of selecting objects  and the order of selection is not to be counted. Therefore, for this selection, the number of ways

= ³⁰C₁₀ × ³⁵C₁₀

= \frac{30!}{(30-10)!10!} *\frac{35!}{(35-10)!10!}

= \frac{30!}{20!10!} *\frac{35!}{25!10!}

= 30045015 * 183,579,396

= 5.51565 * 10^15

≈ 5.52 * 10^15 ways

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The Gonzalez family drove from 10:38 am to 2:05 pm. How long did they drive?
den301095 [7]

Answer:

3 hours and 27 minutes

Step-by-step explanation:

2:05 pm = 14:05 hours

1 hour = 60 minutes

14:05 = 13 hours + 60 minutes + 5 minutes = 13 hours + 65 minutes

then:

 13h  65m

- 10h  38m

=  3h  27m

they drive:

3 hours and 27 minutes

8 0
3 years ago
A. y= 1/2x-14<br> B. y=1/2x-5<br> C. y=2x-14<br> D. y=2x-5
DanielleElmas [232]

Answer:

B. y=1/2x-5

Step-by-step explanation:

From the graph, we read the slope of line JK.

slope = rise/run = -3/-6 = 1/2

The equation we need has the same slope.

y = mx + b

y = (1/2)x + b

It passes through point P(6, -2). Now we find b.

-2 = (1/2)(6) + b

-2 = 3 + b

b = -5

The equation is

y = (1/2)x - 5

6 0
2 years ago
The average height of members of the high school basketball team is six feet, three inches. Jerry is on the high school basketba
xeze [42]
I would go with A. Because that’s not only his height. There could be taller people on the team that make up for his lack of height.
7 0
3 years ago
Help pls need help show your solution and then graph​
Stella [2.4K]

Answer:

Step-by-step explanation:

We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.

ax^2 + bx + c

so

a=4

b=-9

c=2

you can try it by hand or use this:

https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php

you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)

so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis

5 0
2 years ago
Question 5 of 10
suter [353]
C. Similar -SAS is the answer I think
8 0
3 years ago
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