Answer:
5 ; 0.728 ; 0.00002
Step-by-step explanation:
According to the Central limit theorem, for a normal distribution, the population mean equals the sample mean., Hence the population mean, μ = sample mean = 5
The standard deviation of sampling distribution :
Standard deviation / sqrt(n)
σ / sqrt(n)
σ = 3 ; n = 17
3 / sqrt(17)
3 / 4.1231056
= 0.7276
= 0.728
3.)
P(x < 2) :
Using :
Z = (x - mean) ÷ s/sqrt(n)
P(x < 2) = (2 - 5) ÷ 3/sqrt(17)
P(x < 2) = -3 / 0.7276068
P(x < 2) = - 4.1231060
Z < - 4.123 = 0.00002 (Z probability calculator).
There are 130 tickets. 30 of these tickets are worth $5 or $ 10. Therefore, 30 of these 130 tickets are worth $5 or greater. Simplying 30 / 130 gives the probability of 3 / 13 or roughly 23%.
Answer:
Correct
Step-by-step explanation:
You got the right equation
The part of the proof that uses the justification that angles with a combined degree of 90° are complementary is; Congruent Complements Theorem
<h3>How to prove complementary angles?</h3>
We are given;
m∠1 = 40°
m∠2 = 50°
∠2 is complementary to ∠3
We want to prove that ∠1 ≅ ∠3
Now, when the sum of two angles equals 90°, they are called complementary angles.
Now, looking at the angles, the proof that ∠1 ≅ ∠3 is Congruent Complements Theorem. This is because If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.
Read more about Complementary angles at; brainly.com/question/98924
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Answer:
Step-by-step explanation:
c) ∠BAC
d) ∠CAB
