Answer:
0.9545
Step-by-step explanation:
Given that :
Mean (m) = 120
Standard deviation (s) = 12
what percentage of values is within the interval 96 to 144
P(96 < x < 144)
P(x < 96)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (96 - 120) / 12 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 144)
obtain the standardized score (Z) :
Z = (x - m) / s
Z = (144 - 120) / 12 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
p(Z < - 2) - p(Z < 2) = 0.97725 - 0.02275 = 0.9545
The correct conclusion is Diver 2 had scores that were less spread out around the mean than Diver 1.
The question has to do with mean deviation
<h3>What is mean deviation?</h3>
The mean deviation is the measure of the spread or the difference between the mean and the standard deviation d = |X - σ| where
- X = mean and
- σ = standard deviation
<h3>How to find out which conclusion is true?</h3>
Since the mean diving score for Diver 1 was X₁ = 8.1 with a standard deviation of σ₁ = 1.07. The spread or deviation ,d₁ = |X₁ - σ₁|
= |8.1 - 1.07|
= |7.03|
= 7.03
Since the mean diving score for Diver 2 was X₂ = 8.8 with a standard deviation of σ₂ = 2.24. The spread or deviation ,d₂ = |X₂ - σ₂|
= |8.8 - 2.24| =
|6.56|
= 6.56
Since d₂ = 6.56 < d₁ = 7.03, we see that Diver 2 had scores that were less spread out than Diver 1.
So, the correct conclusion is Diver 2 had scores that were less spread out around the mean than Diver 1.
Learn more about mean deviation here:
brainly.com/question/27868686
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Answer:
i) Nazaneen has 3*m marbles.
ii) Karly has m + 4 marbles.
Step-by-step explanation:
a) The given data is:
Shireen has m marbles.
Nazaneen has three times as many marbles as Shireen.
Knowing that Shireen has m marbles, we can conclude that Nazaneen has:
3*m marbles.
Karly has 4 more marbles than Shireen, then Karly has m + 4 marbles.
Then the equations are:
Shireen = m
i) Nazaneen has 3*m marbles.
ii) Karly has m + 4 marbles.
I think you mean GCF, or greatest common factor, in which case, yes, this is always true. An odd number has no factors of 2 or multiples of 2, so there is no way a factor of an odd number can be divisible by 2. Even if the even number has no odd factors, That would simply mean they have no common factors greater than 1, so the GFC would just be 1.
Composite figure is made up of 4 triangles and a square.
Area of Square = Length x Length
Area of Square = 12 x 12
Area of Square= 144 cm²
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 12 x 8
Area of triangle = 48 cm²
Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²
Total Area = 144 + 192 = 336 cm²