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kobusy [5.1K]
3 years ago
13

Find the distance between the two points in simplest radical form (−6, 1) and (−8,−4)

Mathematics
1 answer:
Elena L [17]3 years ago
7 0
<h2>=√(-8-(-6))^+(-4-1)^</h2><h2>=√(-2)^+(-5)^</h2><h2>= -2-5</h2><h2>= -7</h2>
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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to
viktelen [127]

Answer:

$51.38 or $60.45

Step-by-step explanation:

$48.36 minus 15 percent is $41.10. If you're tipping the waitress 25 percent from that price, then it would be $51.38. If you're tipping the waitress 25 percent from the original price, it would be $60.45.

3 0
3 years ago
Which of the following is an example of simple harmonic motion?
Klio2033 [76]

the answer would be C

5 0
2 years ago
Read 2 more answers
A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the
forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = \frac{zs}{\sqrt n}

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = \frac{2.58\times5.5}{\sqrt n}

or

n = (2.58 × 5.5)²

or

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

5 0
3 years ago
If there are 1000 grams in a kilogram in 454 grams in a pound how many pounds are there in a kilogram?
MaRussiya [10]

Answer:

2.2

Step-by-step explanation:

A kilogram is 2.2lbs so if you weigh yourself and it says you weigh 60k then you multiply 60 times 2.2 you get 132lbs.

6 0
3 years ago
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