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2 years ago

12

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:

OLga [1]2 years ago

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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2 years ago

Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.

dexar [7]

9514 1404 393

Answer:

In step 4, Jim's answer is incorrect.

Step-by-step explanation:

In step 1, Jim swaps the order of addends using the commutative property of addition.

In step 2, Jim uses the distributive property to factor -1 from the final two terms. (The associative property lets Jim move parentheses.)

6.1 +(-8.5 -1.3) . . . associative property

6.1 +(-1)(8.5 +1.3) . . . distributive property

In step 3, Jim has used the properties of real numbers to form the sum of two of them.

In step 4, Jim wrote an answer of 1.1, when the answer should have been -3.7. Jim's answer is incorrect.

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The descriptive statements about steps 2 and 4 are both true.

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2 years ago

How much is the orange moon counted for?<br> How much is the green circle counted for?

Vlad [161]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

If 5,142 x 679= 3,491, then 51.42 x 67.9

nirvana33 [79]

Answer:

3.491

Step-by-step explanation:

move the decimal over 3 places.

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3 years ago

Please tell me the function( will mark as brainiest) thanks

Alecsey [184]

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: $m = \frac{y2-y1}{x2-x1}$

Plug in the 2 points: $m = \frac{16-8}{1-0}$

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

24 = 8(2)+b
24 = 16 + b
b = 8

We have now found the equation of the linear function: y = 8x+8

6 0

3 years ago