The mean of a set of twelve numbers is 5.5. The mean of another set of eight numbers is k. The mean of the combined set of twenty numbers is 8.5. Find the value of k.Can you please help me

Answers

Answer 1

Answer: mean is (sum of the values of the numbers in the set)/(how many numbers are in the set)

first bit
mean of 12 numbers is 5.5 is the same as
(12 numbers)/12=5.5

the second bit
mean of 8 numbers is k
(8 numbers)/8=k

(12numbres+8numbers)/20=8.5

interesting
one way is to solve the first and second equations for 12numbers and 8numbers

(12numbers)/12=5.5
times 12 both sides
12numbers=66

(8numbers)/8=k
multiply 8 both sides
8numbers=8k
input

(66+8k)/20=8.5
mulitply both sides by 20
66+8k=170
minus 66 both sides
8k=104
divide 8 both sides
k=13

k=13

Answer 2

Answer: k= 13.

You do (8.5 X 20) - (5.5 X 12), which is equal to 170 - 66 = 104
104 divided by 8 equals 13

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victoria took a test and got 80% of the questions right. She answered 20 questions correctly.How many questions were on the test

Answers

Total questions on the test were 25.

What is Percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

According to questions, victoria took a test and got 80% of the questions right. She answered 20 questions correctly.

Let the total questions on the test be $x$ .

We will get the following equation according to information:

$80$ % × $x=20$

⇒0.8 × $x=20$

⇒ $x=$ $(20)/(0.8)$

⇒ $x=25$

Hence, we can conclude that there are $25$ questions in the test.

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Answer: the answer is 25

Step-by-step explanation: she has 25 questions on the test

Which property is shown? –7 + 24 = 24 + (–7) A. associative property B. distributive property C. opposite of a sum property D. commutative property

Answers

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This is the commutative property. This is because the commutative property just moves stuff around for example a+b = b+a, is the commutative property. The associative property is a+(b+c) = (a+b)+c, the distributive property is a(b+c) = ab+ac, and the opposite of a sum property is -(a+b) = (-a)+(-b).

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How do you convert 6/12 into a decimal

Answers

Every fraction is a short way of writing a division problem.
A fraction means (the top number) divided by (the bottom number).
When you go ahead and actually do the division, the quotient you get
is the decimal form of the fraction.

If you'll either pick up your pencil, or pick up your calculator, and divide 6 by 12 ,
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Answers

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Answer:

Step-by-step explanation:

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