Answer:
a) c = (5/100)*d
b) c = 0.05*d
c) The ratio between what Lee recieves and what he sold.
d) d = 2000
Step-by-step explanation:
Since Lee earns 5% in commission for each sale then:
a) c = (5/100)*d
b) c = 0.05*d
c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.
d) Since he wants to earn $100, then c = 100 and we solve for d
c = 0.05*d
100 = 0.05*d
0.05*d = 100
d = 100/0.05 = $2000
He needs to sell $2000.
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and
.
To find:
The
.
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]


In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
We know that base angles of an isosceles triangle are congruent.
[Base angles of an isosceles triangle]


In triangle AOB,





Therefore, the measure of angle AOB is 120 degrees.
X is less than 4.
Just simplify each side and solve for the variable.
First add 9 to both sides.
24 is greater than 6x
Then divide 6
4 is less than 6
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.
Step-by-step explanation:
From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.
During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:
= 480/1000 × 100
= 48%
Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.