Answer:
∠S = 19°
Step-by-step explanation:
Since all angles in a triangle add up to 180°, we must first find how much is left.
<em>180 - 142 = 38</em>
And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2
<em>38 ÷ 2 = 19</em>
So both other angles are 19° meaning that ∠S is 19°
Hope this was helpful!
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,

And the standard deviation of the distribution of sample mean is given by,

The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:


*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
It's impossible because there is no "N" point in rectangle JKLM.
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet
Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°
Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet
The answer is letter "B" which is 8 feet.
Which of the following relations has a domain of {2, 3, 6}? Choose all that apply. {(3, 3), (2, 2), (3, 2), (6, 1)} {(3, 1), (6,
Ganezh [65]
All except (0,2), (5,6), (5,3), and (4,3). The domain is the x and the range is the y, so the x coordinate has to either be 2, 3, or 6.