Answer:
3:4
Step-by-step explanation:
just count the numbers below at the left of the dot and at the right.
Answer: 1020 ways
Step-by-step explanation:
Let C= comedy
Let M= Mystery
Number of movies(comedy) = 10
Number of movies (mystery) = 10
The total number of movies from which selection is to be made is 10 + 10
= 20
We want to pick 3 movies from 10 comedies and 10 mysteries with at least one mystery.
The selection will be from;
Unconditional selection - (0 mysteries)
=unconditional selection - ( all comedy included)
= 20C3 - 10C3 For combination, [nCr = n! /(n-r) r! ]
= [20!/(20-3)!3!] - [10!/(10-3)!3!
= (6840/6) - (720/6)
= 1140 - 120
= 1020 ways
Answer:
option: D.
Step-by-step explanation:
"The rate of change of two ordered pair is nothing but the slope of a line segment joining ordered pair (x,y)".
if a function is linear then it is represented as y=f(x)=ax+b
i.e. it is a line segment.
so the slope must be same if we consider any ordered pair.
Hence option D is correct i.e. She can check to see if the rate of change between the first two ordered pairs is same as the rate of change between the first and last ordered pairs.
<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;
Substituting the values, we have;
Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,
Substituting 
and r =15, we get;
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
Answer:
x=25 over 3
Step-by-step explanation:
3÷4a-6=1÷4 convert to
3
_x-6= 0.25
4
3x-24=1
3x=24+1
3x=25
divide both sides by 3 and you'll get:
25
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