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3 years ago

Evaluate 5y - 9 for y = 12

Mathematics

2 answers:

NARA [144]3 years ago

5 0

Answer:51

Step-by-step explanation: You plug in 12 for y 5 * 12 is 60, & 60-9 = 51.

Sonbull [250]3 years ago

3 0

(5 x 12)-9

60-9 = which equals 51

Check
51 +9=60

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You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,

kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

$\text{Sum of square of differences} = \sum (x_i -\bar{x})^2$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{962}{15} = 64.13$

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0

3 years ago

Someone help please!

saveliy_v [14]

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{AB}{sinC}$ = $\frac{BC}{sinA}$

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

$\frac{7.8}{sin28}$ = $\frac{BC}{sin62}$ ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = $\frac{7.8sin62}{sin28}$ ≈ 14.7 m ( to 3 significant figures )

5 0

3 years ago

PLEASE HELP ME I NEED HELP DESPERATELY!!!!

IceJOKER [234]

I hope this helps, pls tell me if my way of answering is wrong
Answer:
2x-3y=4
x-2y=4

5 0

3 years ago

A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr

frozen [14]

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

3 0

2 years ago

Which of the following parallelograms is NOT similar to the others? A B C D

labwork [276]

the answer is D

Step-by-step explanation:

5 0

2 years ago

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