Answer:
Step-by-step explanation:
Part 1
P(z < -1.45)
Using the z score table
P =
Part 2
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) P(X >52)
x = 52
Mean = 60
Standard deviation = 8
z = 52 - 60/8
z = -1
P-value from Z-Table:
P(x<52) = 0.15866
P(x>52) = 1 - P(x<52) = 0.84134
b) P(48 < x < 64)
Answer:
50
Step-by-step explanation:
If the first statement its true (At most 0 of the statements are true), there are not true statements in the paper. So, the first statement its false.
Now, if the first statement its false, this mean there must be at least 1 true statement in the paper.
Now, if the second statement its true ( at most 1 of the statements are true) this implies that the third statement its true (if "at most 1" its true, then "as most 2" must be true).
If any statement (besides the first) its true, then all the statement that follows it must be true.
The first non false statement, then, must be the statement made by the person 51: "At most 50 statements are true"
And the 49 statements that follows are true as well.
Answer:
Given the expression:
1.
we know:
then;
Therefore, the value of expression is -16 i.e negative.
2.
we know:
then;
Therefore, the expression is 16 i.e Positive.
3.
we know:
then;
Therefore, the expression is 16 i.e Positive.
54554/99999. I think I am right but sorry if I am wrong.
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
