The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.
For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625
Correct answer: D
Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
According to the given question.
Tobi scored 145 marks on an iq test.
⇒ x = 145
Mean, μ = 100
Standard deviation, σ = 15
As we know that,
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
And it is calculated by formula
Z = x -μ/σ
Where,
Z is a Z-score
μ is mean
x is the observed value
Therefore,
The Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15
= 145 - 100/15
= 3
Hence,Z-score if Tobi scored 145 on an iq test with a mean of 100 and a standard deviation of 15 is 3.
Find out more information about Z-score here:
brainly.com/question/15016913
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Answer:
-4/-21
Step-by-step explanation:
Step-by-step explanation:
Notice that KM = 0.5BC, KL = 0.5AC
and ML = 0.5AB. Therefore the perimeter of triangle KLM is half of the perimeter of triangle ABC. => 0.5 * 24cm = 12cm.
Each of the 3 purple triangles have perimeters which are 1/4 of the perimeter of triangle ABC. (Their vertices are midpoints of midpoints => 1/2 * 1/2)
Perimeter of 3 small purple triangles
= 3 * [24cm * (1/4)]
= 3 * 6cm = 18cm.
Hence Total perimeter of shaded parts
= 12cm + 18cm = 30cm.
A cone is 1/3 the volume of a cylinder so 1/3 * (π r^2) * height
remember r = 1/2 the diameter
