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balandron [24]
2 years ago
9

Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given

the following conditions?
(a) The group consists of two girls and four boys.


(b) The group contains at least two girls.
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

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MAVERICK [17]

Answer:

b-about 5 minutes

Step-by-step explanation:

For an object in uniform circular motion (=moving at constant velocity), the time taken to cover a certain distance is given by:

t=\frac{d}{v}

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v is the speed of the object

In this problem we have:

d = 10 miles is the distance covered by both cars

Car A travels at a speed of

v_A=35 mi/h

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t=\frac{10}{35}=0.286 h \cdot 60 \frac{min}{h}= 17.2 min

Car B travels at a speed of

v_B=45 mi/h

So the time it takes is

t'=\frac{d}{v_B}=\frac{10}{45}=0.222 h \cdot 60 \frac{min}{h}=13.3 min

So the difference in time is

\Delta t = t-t'=17.2 min - 13.3 min \sim 4 min

So, the closest answer is

b-about 5 minutes

8 0
1 year ago
2. Every month, Jenny and Gopal ________ the orphanages in China. They have been to five orphanages so far.
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2. A

3. B

4. B

5. B

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8. B

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6 0
2 years ago
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Which statements are true about the graphs of all nth degree polynomials?
vova2212 [387]

The statements are true about the graphs of all nth degree polynomials are B and D.

B. It goes up and down at most a total of n times.

D. The number of x-intercepts is at most n.

6 0
2 years ago
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Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 year
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Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

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5 0
2 years ago
The sum of 6 consecutive even numbers is <br> 270.<br> What is the second number in this sequence?
KonstantinChe [14]
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
4 0
2 years ago
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