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3 years ago

Complete the data set with one value so that the mean of the data is 13. 10,14,8,16,12,____

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

(10 + 14 + 8 + 16 + 12 + x ) /6 = 13
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====

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What is the value of x

aivan3 [116]

Answer:

x=14√3 and y=28

Step-by-step explanation:

This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.

If this has helped you please mark as brainliest

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2 years ago

Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

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3 0

2 years ago

Read 2 more answers

Which graph represents the solution set of the system of inequalities?

vivado [14]

Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).

Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4

Substituting,
2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one.

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2 years ago

Find the missing length indicated 144 and 60

Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.