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3 years ago

Which expression is equivalent to (3a)-2? O o 3a2 ܝ | ܝ | ܚ| ܘ ܩ|ܛܘ

Mathematics

1 answer:

Bad White [126]3 years ago

6 0

Number 1 is correct 1/9a2

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A sample of 12 measurements has a mean of 16.5, and a sample of 15 measurements has a mean of 18.6. Find the mean of all 27 meas

Wewaii [24]

Answer: $17.67$

Step-by-step explanation:

Given

Sample of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

Take $\bar{x_1},n_1$ be the mean and no of measurements

and $\bar{x_2},n_2$ be the mean and no of measurements in second case

$\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)$

Similarly,

$\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)$

Mean of 27 measurements

$\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67$

4 0

3 years ago

How to factor completely 2x^2+19x+24

Gnom [1K]

2=2*1,1*2
24=1*24,2*12,6*4,3*8
19=2*8+3

2x²+19x+24
(2x+3)(x+8)

or
2x(x+8)+3(x+8)
2x²+16x+3x+24
2x²+19x+24

6 0

3 years ago

Find the midpoint of the segment with the following endpoints.<br> (7, -2) (1, -10)

dem82 [27]

Answer:

Step-by-step explanation:

The formula of a midpoint of the segment AB:

$M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have A(7, -2) and B(1, -10). Substitute:

$M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)$

8 0

3 years ago

Read 2 more answers

Which set of points represents a function?

tankabanditka [31]

Answer: B

Step-by-step explanation:

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3 years ago

The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3

Digiron [165]

Answer:

the correct answer you are looking for is D

Step-by-step explanation:

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3 years ago