The point t is (22/4 , 7/4) which lie on the given line.
<h3>What is Section Formula?</h3>
Section formula is used to find the ratio in which a line segment is divided by a point internally or externally.
Here, Let (x, y) be the coordinates of point t.
given values
x₁ = 1, x₂ = 7, y₁ = 4, y₂ = 1, m = 3 and n = 1
Point t lie on given line and divide the line in ratio 3:1.
Section Formula:
(x, y) =
(x, y) =
(x, y) =
Thus, the point t is (22/4 , 7/4) which lie on the given line.
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Answer: Hence, the correct size of boys group is 5 and girls is 6.
Step-by-step explanation:
Since we have given that
Number of boys = 60
Number of girls = 72
We need to divide the students into gender specific groups of the largest possible size.
For this we will find "HCF of 60 and 72" which is equal to "12".
So, the correct size of each group is 12 in which number of boys would be
Number of girls would be
Hence, the correct size of boys group is 5 and girls is 6.
1.5 mm is what I would think the thickness of the penny would be
<u>The required </u><u>probability </u><u>that the inspector finds exactly one nonconforming part </u><u>0.4352 .</u>
What does probability mean in math?
The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.
The inspector has a total of 15 pieces from which to choose 3 in 15 different ways. These are all of the instances that are mutually exclusive, mutually exhaustive, and both likely.
A temperature problem now affects three cavities, producing parts that don't meet specifications. It indicates that the inspector selects one of the three cavities that are impacted by temperature malfunction in order to obtain precisely one nonconforming element.
This can be done in (3 1) ways . Now to obtain two non defective parts from two cavities it implies that we have to select two cavities from the remaining 12 properly functioning cavities which can be done in ( 12 2 ) ways .
So the required probability that the inspector finds exactly one nonconforming part
= ( 12 2 ) × (3 1 ) / ( 15 3 )
= 0.4352
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