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3 years ago

The average of 8 scores is Q. If the average of 3 of the scores is Z, what is the average of the other 5 scores?

1 answer:

7 0

$\dfrac{s_1+\cdots+s_8}{8}=Q\implies s_1+\cdots+s_8=8Q$
$\dfrac{s_1+s_2+s_3}{3}=Z\implies s_1+s_2+s_3=3Z$

Substituting into the first equation, this means

$s_4+\cdots+s_8=8Q-3Z$

Divide by 5 to get the average:

$\dfrac{s_4+\cdots+s_8}{5}=\dfrac{8Q-3Z}5$

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Which one is more precise 7m ; 7.7m

gayaneshka [121]

7.7m is more precise because it has a decimal after it

8 0

3 years ago

Read 2 more answers

State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial

tatuchka [14]

Answer:

The common factor is 5x.

The factored polynomial is: $5x(7x - 2)$

Step-by-step explanation:

Factor of the numbers:

The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:

5 - 30 - 10|5

1 - 6 - 2

Factor of the exponents:

Between $x^2, x^2$ and $x$ , the common factor is the x with the lowest exponent. So x

Common factor

Number multiplied by exponents, so 5x.

Factoring the polynomial:

$5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)$

The factored polynomial is: $5x(7x - 2)$

6 0

3 years ago

4t + 2u2 - u3 ; t=2 u=1

melisa1 [442]

9, I believe.
4(2)+2(1)^2-(1)^3 (^ just means to the power of "exponent")
8+2-1=9

3 0

4 years ago

PLEASE HELP!!! I WILL GIVE BRAINY!!!

11111nata11111 [884]

The first one is 4/3

We can solve by,

${x}^{2} \times 180 = 320$

$x = \frac{4}{3}$

${ \frac{4}{3} }^{2} \times 180 = 320 = true$

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The second one is 35.

Idk how to explain...

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The third one is a 6 - gon therefore cannot be C or D.

I'd say the third one is A., it looks like it's caving in.

4 0

2 years ago

Read 2 more answers

Smoothing a time series of observations A. is a form of statistical cheating. B. allows statisticians to use less data than woul

DedPeter [7]

Answer:

D. is used to reveal an underlying pattern in the data.

Step-by-step explanation:

Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.

Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.

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3 years ago