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AnnZ [28]
3 years ago
11

Find the number C(10,6)

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

210.

Step-by-step explanation:

Combination formula is

nCr = \frac{n!}{r!(n-r)!}

Then, we have that n = 10 and r=6:

C(10,6) = \frac{10!}{6!(10-6)!}

C(10,6) = \frac{10!}{6!4!}

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

C(10,6) = \frac{6!*7*8*9*10}{6!4!}

C(10,6) = \frac{7*8*9*10}{4!}

C(10,6) = \frac{5040}{4*3*2*1}

C(10,6) = \frac{5040}{24}

C(10,6) = 210.

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A delivery truck travel 324 miles on 18 gallons of gas how far can be traveled on 41 gallons of gas
Ierofanga [76]
Well divide 324 by 18= A unit rate of 18 miles per gallon. Now just multiply 18 by 41 which is 738.

Answer:738 miles
7 0
3 years ago
A geologist examines 6 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.903 cc/cubi
Gnesinka [82]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean lead concentration of sea water samples

Number of samples. n = 6

Mean, u = 0.903 cc/cubic meter

Standard deviation, s = 0.0566

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

0.903 +/- 1.96 × 0.0566/√6

= 0.903 +/- 1.96 × 0.0566/2.44948974278

= 0.903 +/- 0.045

The lower end of the confidence interval is 0.903 - 0.045 =0.858

The upper end of the confidence interval is 0.903 + 0.045 =0.948

Therefore, with 95% confidence interval, the mean lead concentration of the sea water is between 0.858 cc/cubic meter and 0.948 cc/cubic meter

7 0
3 years ago
Help me please i don’t have my notes and I forget how to do this
Mumz [18]

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

5 0
3 years ago
What precent of 95 is 60.8​
dezoksy [38]

60.8 is 64% of 95.

Step-by-step explanation:

Given number is;

95

We have to find at what percent, the value is 60.8

Let x be the percent.

Therefore;

x% of 95 = 60.8

\frac{95x}{100}=60.8 \\0.95x=60.8

Dividing both sides by 0.95

\frac{0.95x}{0.95}=\frac{60.8}{0.95}\\x=64

60.8 is 64% of 95.

Keywords: percent, division

Learn more about division at:

  • brainly.com/question/10764770
  • brainly.com/question/1087090

#LearnwithBrainly

5 0
3 years ago
Please help me with this problem
oksian1 [2.3K]

Diagonal = SQRT(8^2 + 12^2 + 30^2)

Diagonal = SQRT(64 + 144 + 900)

Diagonal = SQRT(1108)

Diagonal = 33.3 feet

5 0
3 years ago
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