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fgiga [73]
3 years ago
14

-2w + 20= -17 -17 +4w

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

-2w + 20 = -17 - 17 + 4w

Combine like terms on the right side of the equation.

-2w + 20 = -34 + 4w

Add 2w to both sides.

20 = -34 + 6w

Add 34 to both sides.

54 = 6w

Divide both sides by 6.

w = 9 is your answer.

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The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the f
Thepotemich [5.8K]

Answer:

the average of this new list of numbers is 94

Step-by-step explanation:

Hello!

To answer this question we will assign a letter to each number for the first list and the second list of numbers, remembering that the last number of the first list is 80 and the last number of the second list is 96

for the first list

\frac{a+b+c+80}{4} =90

for the new list

\frac{a+b+c+96}{4} =X

To solve this problem consider the following

1.X is the average value of the second list

2. We will assign a Y value to the sum of the numbers a, b, c.

a + b + c = Y to create two new equations

for the first list

\frac{y+80}{4} =90

solving  for Y

Y=(90)(4)-80=280

Y=280=a+b+c

for the second list

\frac{y+96}{4} =X\\

\frac{280+96}{4} =X\\x=94

the average of this new list of numbers is 94

4 0
3 years ago
Read 2 more answers
A 100 rupee note was changed to 10 and 5 rupee notes, 15 notes in all. How many of each notes?​
san4es73 [151]

Answer:

Total number of notes is 11.

Step-by-step explanation:

Value is 100 rupees…

5x + 20y = 100 and x + y = 11 are the two equations.

We can simplify…

5x + 20 y - 5x - 5y = 100 - 55 = 45

15y = 45 so y = 3

x = 11 - y = 8

So, we have 8 notes of 5 rupees denomination and 3 notes of 20 rupees denomination.

I hope it helps you.

4 0
3 years ago
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The area of a square is 64 square units. How many units long is each of its sides?
skelet666 [1.2K]
<h2>Area of a square = side × side</h2>

Let the side = x

{x}^{2}  = 64 \\ x =  \sqrt{64}  \\ x = 8

<h3>Length of each side = <u>8</u><u> </u><u>units</u></h3>

.... Hope this will help....

3 0
2 years ago
50000000000000000000253554126x255412699852
Alja [10]

Answer:

1.277063499260000000006476094388e+40

Step-by-step explanation:

I used a calculator :)

6 0
3 years ago
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Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population
Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

14 percent of the population of Arizona is 65 years or older.

This means that p = 0.14

A random sample of five persons from this population is taken.

This means that n = 5

The probability that less than 2 of the 5 are 65 years or older is :

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704

P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829

P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533

So the correct answer is:

A)0.8533

3 0
3 years ago
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