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bekas [8.4K]
3 years ago
14

URGENT

Mathematics
2 answers:
matrenka [14]3 years ago
7 0
The mean is the average. You calculate it by adding all the numbers up in the data set and divide by how many numbers there are in the data set.

So:

\sf Mean=\dfrac{70+68+72+66+68+69+66+71+74+66}{10}\rightarrow\dfrac{690}{10}\rightarrow\boxed{\sf 69}
Sedaia [141]3 years ago
4 0

Answer:

The answer is 69. Hope this helps.

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The sum of the squares of two numbers is 8 . The product of the two numbers is 4 . Find the numbers.
fenix001 [56]

Hello there.

First, assume the numbers x,~y such that they satisties both affirmations:

  • The sum of the squares of two numbers is 8.
  • The product of the two numbers is 4.

With these informations, we can set the following equations:

\begin{center}\align x^2+y^2=8\\ x\cdot y=4\\\end{center}

Multiply both sides of the second equation by a factor of 2:

2\cdot x\cdot y = 2\cdot 4\\\\\\ 2xy=8~~~~~(2)^{\ast}

Make (1)-(2)^{\ast}

x^2+y^2-2xy=8-8\\\\\\ x^2-2xy+y^2=0

We can rewrite the expression on the left hand side using the binomial expansion in reverse: (a-b)^2=a^2-2ab+b^2, such that:

(x-y)^2=0

The square of a number is equal to 0 if and only if such number is equal to 0, thus:

x-y=0\\\\\\ x=y~~~~~~(3)

Substituting that information from (3) in (2), we get:

x\cdot x = 4\\\\\\ x^2=4

Calculate the square root on both sides of the equation:

\sqrt{x^2}=\sqrt{4}\\\\\\ |x|=2\\\\\\ x=\pm~2

Once again with the information in (3), we have that:

y=\pm~2

The set of solutions of that satisfies both affirmations is:

S=\{(x,~y)\in\mathbb{R}^2~|~(x,~y)=(-2,\,-2),~(2,~2)\}

This is the set we were looking for.

7 0
3 years ago
at least $7500 with this event. Tickets for the fundraiser are $75.00 per couple, and they have to pay a $375 fee for renting th
Vsevolod [243]

Answer:

x > or = 20

Step-by-step explanation:

$375x > or = $7500

----------- -----------

$375 $375

----------------------------------

x > or = $20

4 0
3 years ago
Some one please help !!! How do I solve -1<-x/3<1
MArishka [77]
- 1 < - x/3 < 1
1st. Multiply all parts by 3:

-3 < - 3x/3 < 3. Simplify the mid term:

-3 < -x <  3. Now multiply all terms by - 1. Note when you multiply by a negative number, you flip the inequality signs:

(-1)(-3) < (-1)(-x) < (-1)(3)

+3 > x> -3

4 0
3 years ago
HELP PLEASE I GIVE Brainlist
12345 [234]
-5/20
-3/12
0/0
3/-12
5/-20
7 0
3 years ago
Read 2 more answers
Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 mile
sergij07 [2.7K]

Answer:   i think it will take 48 hours

Step-by-step explanation:

here's how to get 48 so basically 450-400-2= 48

now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 <u><em>so you want to make sure you do the biggest number first and then do the smaller numbers to get 48</em></u> like 450 - 400 - 2 and then you will have 48

i hope this helps!

5 0
3 years ago
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