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earnstyle [38]
3 years ago
6

A group consists of fourfour men and eighteight women. threethree people are selected to attend a conference.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0
Take the combination of 1 man and 2 women
 =4 * 8C2 = 4*28 = 112 ways
The case of all men
= 4C3 = 4
The case of all women
= 8C3 = 56
The case of 2 men and 1 woman:-
= 8 * 4C2 =  8* 6 = 48

Total number of ways = 112 + 4 + 56 + 48 =  220 answer

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A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Brilliant_brown [7]

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \\ (x+2)^{2}+y^{2}=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\sqrt{42}. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\sqrt{42}+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\sqrt{42}+2. now we know what X is equal to. Now we plug in x for \\ (x+2)^{2}+y^{2}=42, which gives us          (-y+\sqrt42}+2+2)^{2}+y^{2}=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\sqrt{42}+4+y=\sqrt{42}. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

6 0
3 years ago
How much money is pictured below?
velikii [3]

The amount of money in the picture is $1.1.

<h3>What is money?</h3>

Money simply means the medium of exchange and it's used for transactions purpose.

From the picture, there a 1dollar bill. Also, it can be seen in the picture that there are 10 1 cents.

Therefore the total amount will be the addition of the paper money and the coins. This will be:

= $1 + 10(1 cent)

= $1 + 10 cents

= $1 + $0.1

= $1.1

This is the value of the money.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

7 0
1 year ago
Question 1
kenny6666 [7]

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

<h3>What is an inequality?</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let y represent the number of soccer balls and x represent the number of volleyballs.

The coach can spend a maximum of $1,100, hence:

20x + 25y ≤ 1100

Also, The coach plans to order at least 50, hence:

x + y > 50

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

Find out more on inequality at: brainly.com/question/24372553

6 0
2 years ago
The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store.
Solnce55 [7]

Answer:

Step-by-step explanation:

Given is a steam and leaf plot.

This shows the age of customers who were interviewed in a survey by a store.

From the plot we can say that 10th digit is represented by the stem

For greater than 32, obviously 1,2 stem valus will not work.

For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem

We have 32, onwards 7 persons

Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1

Total number of customers who have ages more than 32 years = 21

8 0
3 years ago
Complete the steps to find all zeroes of the function f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots.
xxTIMURxx [149]
Steps?

A graph shows zeros to be ±3. Factoring those out leaves the quadratic
  (x-2)² +1
which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

7 0
3 years ago
Read 2 more answers
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