Lauryn wants to analyze the weights of
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The height of the ground from the base of the window is 144 inches.
<h3>How to find the side of a right angle triangle?</h3>One angle of a right angle triangle is equals to 90 degrees.
Therefore, the sides and angles of the right triangle can be found using trigonometric ratios.
tan x = WY / XY
tan x = opposite / adjacent
tan x = 24 / 8
x = tan⁻¹ 3
x = tan⁻¹ 3
x = 71.5650511771
x = 71.60°
tan 71.60 = h / 48
cross multiply
h = 48 tan 71.60
h = 48 × 3
h = 144 inches
learn more on right triangle here: brainly.com/question/2547461
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Answer:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Question:
The question is incomplete without the answer choice. Let's consider the following:
A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options
a) -2,0 and 2,5
b) -4,5 and 4,-5
c) -3,4 and 2,0
d) 1,-1 and 6,-5
e) 2,-1 and 10,9
Step-by-step explanation:
The ordered pairs that could be points on a line that is perpendicular to this line would have same slope as that of the line.
Let's check out the slope of the options.
The line has slope = -4/5
Slope = m = (y subscript 2 -y subscript 1)/(x subscript 2 - x subscript 1)
The coordinates is in the form of (x,y)
Find attached the workings.
a) -2,0 and 2,5
m = 5/4
b) -4,5 and 4,-5
m = -5/4
c) -3,4 and 2,0
m = -4/5
d) 1,-1 and 6,-5
m = -4/5
e) 2,-1 and 10,9
m = 5/4
Two lines are perpendicular if (m subscript 1) × (m subscript 2) = -1
In other words, the slopes
of the two lines must be negative reciprocals of each other.
If 1st slope = -4/5
For the lines to be perpendicular, the slope of every other line = 5/4
2nd slope = 5/4
The ordered pairs that are points on the line perpendicular to the line:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Answer:
Step-by-step explanation:
A set of normally distributed data has a mean of 3.2 and a standard deviation of 0.7. Find the probability of randomly selecting 30 values and obtaining an average greater than 3.6.
We can denote the population mean with the symbol
According to the information given, the data have a population mean:
.
The standard deviation of the data is:
.
Then, from the data, a sample of size is taken.
We want to obtain the probability that the sample mean is greater than 3.6
If we call
to the sample mean then, we seek to find:
To find this probability we find the Z statistic.
Where:
Where is the standard deviation of the sample
Then:
The probability sought is:
When looking in the standard normal probability tables for right tail we obtain: