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balandron [24]
3 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]3 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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How do you estimate 1,374×6
san4es73 [151]
The best estimate for 1,374 is 1,400 and the best estimate for 6 is 10. This is because anything that is 5 and above you change it. Example: 16 the best estimate for 16 is 20 because 6 is above 5. And when a number is 4 and below you change the number below. Example: 12 the best estimate for 12 is 10 because 2 is below 4. And when the number is perfect like 10, you can keep the number the same. Example:10,20,30,40,50,60etc.
Hope this Helped! :)
4 0
4 years ago
A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. G
Xelga [282]

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

6 0
3 years ago
Please helppp!!<br> For the equation y = 3x – 6 Complete the table for the x values given.
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Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x    -2       -1        0        1          2         3

y    -12     -9       -6       -3         0         3

6 0
3 years ago
1000 test scores are approximately normally distributed with a mean of 60 and a standard deviation of 8, if a grade of B is assi
DIA [1.3K]

Answer:

c

Step-by-step explanation:

I took the test

8 0
3 years ago
9 x 3/9 is greater than less than or equal to 9?
Elena-2011 [213]

Answer:

9 x 3/9  is less than 9

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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