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2 years ago

Question 18 Calculate the mean 12, 2, 9, 12, 10

Mathematics

2 answers:

kramer2 years ago

6 0

Answer: 9

Step-by-step explanation:

first u have to add up all the numbers "12 + 2 + 9 + 12 + 10" and that's 45 then u have to divide by how many numbers there are, so there's 5 numbers. ur dividing "45/5" which is 9 so the mean is 9

mark as brainly plss

Schach [20]2 years ago

3 0

Answer:

Mean = 9

Step-by-step explanation:

The mean is the average of a data set. Given the values, 2, 9, 10, 12, 12:

Add all the numbers in the data set, and divide its sum by the number of items in the set:

Mean = $\frac{2+9+10+12+12}{5}$ = $\frac{45}{5}$ = 9

Therefore, the mean of the given data set is 9.

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Find the quotient when x2 + 10x + 21 is divided by x + 7

Alja [10]

Answer:

The quotient is $x+3$

Step-by-step explanation:

We first use the remainder theorem to determine whether $x+7$ is divisible by

$x^2+10x+21$ :

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the remainder is zero which means $x^2+10x+21$ is divisible by $x+7$ .

Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.

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2 years ago

For what value of d is (2x - 3)(x + d) equivalent to 2x + 5x - 12? d =

dimulka [17.4K]

For this case we have the following expression:

$(2x-3) (x + d) =$

Applying distributive property we have:

$2x ^ 2 + 2dx-3x-3d$

This last expression must be equivalent to:

$2x ^ 2 + 5x-12$

So, matching we have:

$2x ^ 2 + 2dx-3x-3d = 2x ^ 2 + 5x-12$

Matching similar terms we have:

$2dx-3x = 5x\\(2d-3) x = 5x\\2d-3 = 5\\2d = 5 + 3\\2d = 8\\d = \frac {8} {2} = 4$

Thus, the value of d is 4. We verify:

$(2x-3) (x + 4) = 2x ^ 2 + 8x-3x-12 = 2x ^ 2 + 5x-12$

Answer:

$d = 4$

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2 years ago