Answer:
The undefined terms which are used to define a ray is:
Point and a line.
Step-by-step explanation:
The undefined terms in coordinate geometry are:
Line, Points and Plane.
since a line do not have any length, Point has a location but no size.
A line has no width and it extends infinitely and is one dimensional.
and a plane extends infinitely in both the dimensions.
<em>Ray:</em>
<em>A ray is part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint.</em>
Hence, the undefined terms which are used to define a ray is:
Point and a line.
Answer: 32$
Step-by-step explanation: 8 x 4 = 32
32 divided by 4 = 8
There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 36
Putting x=100 in Eqn 2
Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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Answer:
c) 2x+1
Step-by-step explanation:
Let's x be number of Nick's goals.
Emma has scored 1 more than twice the number of Nicks.
1 more is +1, of twices the number is 2x.
so 2x+1=15
Assuming that all the grapes have the same probability of being randomly picked:
<h3>
How to find the probabilities?</h3>
We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.
a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:
P = 8/23
But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:
P' = 7/22.
The joint probability is the product of the two individual probabilities:
prob = (8/23)*(7/22) = 0.11
b) For the first green grape we know that the probability is:
P = 8/23
Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:
P' = 15/22
Then the joint probability is:
prob = (8/23)*(15/22) = 0.24
If you want to learn more about probability:
brainly.com/question/25870256
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