Answer:
Median is 12
Step-by-step explanation:
9, 10, 4, 12, 15, 17, 18, 10, 12, 13
Sort the data
4, 9, 10, 10, 12, 12, 13, 15, 17, 18
Median position: (n+1)/2
(10+1)/2 = 5.5th value
Median:
(12+12)/2
24/2
12
Putting the numbers from smallest to largest
4,9, 10, 10, 12 12, 13, 15, 17, 18,
The median is the middle number
There are 10 numbers
The middle number is between the 12's, so it is 12
The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.
Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.
Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.
Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.
Read more on complementary angles;
brainly.com/question/16281260
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The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
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<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
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<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
volume of the hemisphere ≈1577.5 cm³
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= πr³ ÷ 2
= πr³
WHERE r is the radius
from the question given, radius= 9.2 cm
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the equation
volume of a hemisphere = πr³
= × 3.14 ×9.2³
= × 3.14 ×753.571
≈1577.5 cm³ to the nearest tenth of cubic centimeter