The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.
<h3>What is a normal distribution?</h3>
The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.
The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.
Hence, the correct option is C.
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Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
Answer:
supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)
complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)
hopefully this helps! :)
Answer:
We use the formula:
S 10 = 8 · [(1/2)^9 - 1] / (1/2 - 1 );
Then, S 10 = 8 · ( 1/512 - 1 ) / ( 1/2 - 1 );
S 10 = 8 · ( - 511 / 512 ) / (-1 / 2 );
S 10 = ( - 511 / 64 ) · ( - 2 );
S 10 = + 511 / 32;
S 10 = 15.96;
Step-by-step explanation:
The maximum angle of repose is the<span> maximum angle at which a material can be piled without slumping. The material piled up will form a cone.
If we project the situation on a 2D plane, we get a triangle rectangle (see picture attached). We know one angle and the Opposite side (height) and we need to find the Adjacent side (radius).
Recalling trigonometry formulae:
tan</span>α = O / A
Solving for A:
A = O / tan<span>α
We can now substitute our data (O = 20):
</span>1) Sand, Bank Damp
<span>α = 45°
A = 20 / tan(45)
= 20
The radius is
20 feet.
</span>
2)Sand, Bank Dry
α = 35°
A = 20 / tan(35)
= 28.5629
The radius is
28.6 feet.
3) Sand, core
α = 41°
A = 20 / tan(41)
= 23.0074
The radius is
23 feet.
4) Sand, foundry prepared
α₁ = 30°
A₁ = 20 / tan(30)
= 34.6410
α₂ = 44°
A₂ = 20 / tan(44)
= 20.7106
The radius is between
20.7 and 34.6 feet.
5) Sand, Foundry shakeout
α = 39°
A = 20 / tan(39)
= 24.6979
The radius is
24.7 feet<span>.</span>
