Let the three consecutive even integers representing the sides of triangle PQR be defined as x, (x + 2), and (x + 4). Given that the perimeter of triangle PQR equals 42 cm.
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
Answer:
Step-by-step explanation:
The total count of laptops, N = 20
Defective laptops, n = 3
The school is purchasing 2 laptops
Case 1:
Both purchased laptops are non-defective
Probability of selecting 2 non-defective laptops
The count of non-defective laptops equals 20 - 3 = 17
Overall laptop count = 20
Probability, P = 17/20 = 0.85
Case 2:
One laptop is found defective
The probability of choosing 1 defective and 1 non-defective laptop
P' = 3/20 x 17/19 = 0.134
Case 3:
Both laptops are defective
Choosing 2 laptops from 3 = 3 C 2 = 3
Selecting 2 from 20 = 20 C 2 = 190
The probability of selecting two defective laptops equals 3 / 190 = 0.0158
P'' =
Answer:
Step-by-step explanation:
The graph can take on three forms as displayed in the figure.
(a) having no intersections
(b) having a single point of intersection (tangency)
(c) having two points of intersection.
Consequently, the maximum number of intersections that these graphs can yield is 2, as illustrated in figure (c).
A) To establish a sampling plan, follow these 5 steps:
1) Identify the sample population: which customers will you reach out to?
Those who purchased a new car during a specific year.
2) Determine the population size: how many customers will you contact?
From the 30,000 car buyers, select 1,000 customers to contact.
3) Select contact method: what is your means of contacting customers?
Since you have a list with names and addresses, mailing questionnaires is feasible.
4) Define the sampling frame: what is the timeline or deadline for contacting customers?
Send out questionnaires and allow two months for responses.
5) Decide on the analysis approach: is your research qualitative or quantitative?
You aim for quantitative research, so you will use probabilistic sampling.
B) The 32.5% probability relates only to those customers who experienced mechanical issues, specifically power door lock problems, and does not account for those without any problems or those reporting issues after the first 5,000 miles.
C) To estimate the probability of power door lock problems among all customers within the first 5,000 miles, consider the entire sample:
P = 13 / 1000 = 0.013
Therefore,
N = 0.013 × 30,000 = 390
Thus, the estimated number of new cars that had power door lock issues within 5,000 miles is 390.
