Step-by-step explanation:
Hey there!
It is said we need to find the unit rate.
What we can do is apply Unitary Method.
3 minutes = 42 push ups
1 minute = 
<u>So, 12 push ups per minute is the unit rate.</u>
In 5 minutes, he will do 12×5 = <u>60 push ups!</u>
Hope it helps :)
To find the value of f(3) we need to follow the below steps :
Step 1 : First plot the graph of f(x)
Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)
Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .
Step 4 : Now there exists two cases :
If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x
If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).
If this is wrong than I guess I wasn't smart enough :)
Answer:
the probability that at least one envelope is a yellow envelope is 16/21
Step-by-step explanation:
The probability that at least one envelope is a yellow envelope is P(Y);
P(Y) = 1 - P(Y)'
P(Y)' is the probability that no envelope is a yellow envelope.
Given;
red envelope = 1
blue envelopes = 3
green envelopes = 2
yellow envelopes = 3
Total = 9
Number of non-yellow envelope = 9 -3 = 6
(6 envelope are not yellow)
P(Y)' = P1 × P2 × P3
Since there is no replacement;
P(Y)' = 6/9 × 5/8 × 4/7
P(Y)' = 5/21
From equation 1;
P(Y) = 1 - 5/21
P(Y) = 16/21
the probability that at least one envelope is a yellow envelope is 16/21.
Answer:
Widget per hours for A: 5
Widgets per hour for B: 8
Widgets per hour for C: 6
Widget B is the fastest
Step-by-step explanation:
A: 30 /6 = 5
B: 64/8 = 8
C: 18/3 = 6
The circumference is 81.68 mm. C= 2pi(r)
