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3 years ago

Find the mean, median, and mode of the data set. Round your answers to the nearest tenth if necessary.

Mathematics

1 answer:

bekas [8.4K]3 years ago

3 0

Answer:

Mean: 83.2

Median: 82.5

Mode: 72

Step-by-step explanation:

If you put them all in order, Its really straightforward from there.

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Help me pleaseeeee somebody ASAP

tatyana61 [14]

Answer:

x = 12

Step-by-step explanation:

In similarity triangles angles are congruent.

∠D = ∠A

x² - 8x = 48

x² - 8x - 48 = 0

x² + 4x - 12x - 48 = 0

x(x + 4) - 12(x + 4) = 0

(x +4)(x - 12) = 0

x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}

x = 12

3 0

2 years ago

Systems of equations by substitution

Korolek [52]

Could you please clarify the question please by putting a question to be solved? Or are you asking for the definition?

6 0

3 years ago

Y greater than or equal to x + 4

tatiyna

See the attached files

<h2>Explanation:</h2>

Here we have the following inequality:

$y>x+4$

In order to graph the shaded region, we have to graph the equation of the line $y=x+4$ whose slope is $m=1$ and y-intercept $b=4$ . So the graph of the line is shown in the First Figure below.

To find the shaded region we need to have a look at the symbol > that indicates that the shaded region is above the graph of the line and. Since this doesn't include the symbol =, then the line is dotted. Therefore, the resulting region is shown in the second Figure.

<h2>Learn more:</h2>

Shaded regions: brainly.com/question/9611462

#LearnWithBrainly

5 0

3 years ago

BD is the angle bisector of

AlexFokin [52]

Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

8 0

2 years ago

Can someone help with this please?

mel-nik [20]

Answer:

a. Function 1

b. Function 2

c. Function 4

Step-by-step explanation:

✔️Function 1:

y-intercept = 4 (the point where the line cuts across the y-axis)

Slope, using the two points (0, 4) and (1, 6):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{6 - 4}{1 - 0} = \frac{2}{1} = 2$

Slope = 2

✔️Function 2:

y-intercept = 1 (the value of y when x = 0)

Slope, using the two points (0, 1) and (1, -3):

$\frac{y_2 - y_1}{x_2 -x_1} = \frac{-3 - 1}{1 - 0} = \frac{-4}{1} = -4$

Slope = -4

✔️Function 3: y = 5x - 5

y-intercept (b) = -5

Slope (m) = 5

✔️Function 4:

y-intercept = -2

Slope = -1

Thus, the following conclusions can be made:

a. The function with the greatest y-intercept is Function 1 which is 4.

4 is greater than 1, -5, and -2.

b. Only Function 2 has slope that is less than -2.

-4 is less than -2.

2, 5, -1 are all greater than -2.

c. The function's graph with the least steep is the function whose slope value is the smallest. That is the greater the absolute value of the slope, the steeper the slope, and vice versa.

Function 4 has the least steep.

8 0

2 years ago