Answer:
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
Step-by-step explanation:
We are given the following information in the question:
Mean, μ =$3.26 million
Standard Deviation, σ = $1.2 million 100
We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(mean salary of the 100 players was less than $3.0 million)
Calculating the value from the standard normal table we have,
0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million
<span>let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet</span><span>
</span>
Answer:
Step-by-step explanation:
5ˣ⁺² = 5⁹
log₅(5ˣ⁺²) = log₅(5⁹)
x+2 = 9
x = 7
m∠5 = 142°
Solution:
Line l and m are parallel.
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ 38° + m∠7 = 180°
⇒ m∠7 = 180° – 38°
⇒ m∠7 = 142°
∠5 and ∠7 are corresponding angles.
<em>If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.</em>
⇒ ∠5 ≅ ∠7
⇒ m∠5 = m∠7
⇒ m∠5 = 142°
Therefore m∠5 = 142°.