Answer:
Picture 1:
12x+1=109
12x=108
x=9
Picture 2:
2x-3=57
2x=60
x=30
Let me know if this helps!
Answer:
330(D)
Step-by-step explanation:
So lets go over what we know:
#1: 44 out of 80 people think they have a average fitness level.
#2: 80 out of the 600 people in the school were surveyed.
Using what we know, lets try and find the answer.
So lets divide the total amount of people, by the amount of people that took the survey:
600/80
=
7.5
Ok, so now we know that we need to take 7.5 surveys to find out what all the students think of their fitness level.
Now lets take teh amount of people in a single survey, with average fitness(44), and multpliy it by how many surveys are needed for the whole school(7.5):
44*7.5
=
330
This is the amount of people in the whole school who think they have an average fitness level.
I hope this helps! :)
<u>Answer:</u>
<u>330</u>
Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:


So


Finally

There is a 99.99998% probability that at least one valve opens.
Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
Answer:
up 1 over 7 (1,7) 1 = x and 7 = y
Step-by-step explanation:
0 plus 1 is 1. 1 plus 1 is 2. 2 plus 1 is 3. 3 plus 1 is 4
-6 plus 7 is 1. 1 plus 7 is 8. 8 plus 7 is 15. 15 plus 7 is 22