Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,
Thus, 0.006 is the probability that the record will be broken in next year.
In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and
m∠N is 180°.
Response:
The true statements are;
<h3>Which property of parallelogram are used to find the true statements?</h3>
The possible drawing of the parallelogram LMNO created with MS Visio is attached.
From the drawing, we have;
m∠M = 11·x
m∠N = 6·x - 7
The properties of a parallelogram are;
Opposite angles are equal.
Adjacent angles are supplementary
Which gives;
11·x + 6·x - 7 = 180°
17·x = (180 + 7)° = 187°
m∠M = 11 × 11° = 121° = m∠O
m∠N = 6 × 11° - 7 = 59° = m∠L
Therefore;
The statements that are true are;
Learn more about the properties of a parallelogram here:
brainly.com/question/7697302
9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
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The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
Answer:
54m^2
Step-by-step explanation:
Each square has a equal sides, which is 3m
in order to find the surface area, it's
Formula : Base x height = Area
The total surface area would be all the area's added together
3x3=9cm^2
so each square is 9m^2
there are 6 squares so
9+9+9+9+9+9=54m^2
or you can do 9x6=54m^2
