Answer:
Angle A= 77.14°
Angle B= 102.86°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°, as stated in the question.
This means that Angle A + Angle B= 180°
The measure of Angle A to Angle B is 3:4
3:4 --------> 3+4 = 7 total parts
Hence, angle A will be 3/7 of the total angle (180°)
angle B will be 4/7 of the total angle (180°)
That is, angle A = 3/7 × 180° = 77.1428°
angle B= 4/7 × 180° = 102.857°
Approximately, angle A = 77.14° while angle B= 102.86°
Answer:
16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Step-by-step explanation:
The Empirical Rule(Standard Deviation) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5
Standard deviation = 1.2
Using the Standard Deviation Rule, what is the probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night?
8.7 = 7.5 + 1.2
So 8.7 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than one standard deviation from the mean. Since the normal probability distribution is symmetric, 16% are more than one standard deviation below the mean and 16% are more than one standard deviation above the mean(above 8.7 hours)
So, 16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm
Area is calculated by multiplying length by width. Since we are given the width, we can test each length and see if the product matches the rectangle's area.
(2m - 3)(4m - 4) = 8m² - 20m + 12 ≠ 8m² + 4m - 12
(8m - 3)(4m - 4) = 32m² - 44m + 12 ≠ 8m² + 4m - 12
(2m + 3)(4m - 4) = 8m² + 4m - 12
(8m + 3)(4m - 4) = 32m² + 20m - 12 ≠ 8m² + 4m - 12
The length of the rectangle must be 2m + 3. Another method of solving this would be to divide the area by the width, or 8m² + 4m - 12 ÷ 4m - 4.
Answer:
<em>n = 8 or n = −2</em> <em>is the correction solution.</em>
Step-by-step explanation:
As the absolute value equation is given:
| n−3 | = 5
We know either n − 3 = 5 or n − 3 = −5
n − 3 = 5 (First Possibility)
n − 3 + 3 = 5 + 3
n = 8
n − 3 = -5 (Second Possibility)
n = -5 + 3
n = -2
<em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>
<em>Keywords: absolute value equation</em>
<em>Learn more about absolute value equation from brainly.com/question/680309</em>
<em>#learnwithBrainly</em>
