Answer:
Yes, snow and cold weather are independent.
Step-by-step explanation:
We are given the following in the question:
C: Cold weather
S: Snow
P(C) = 0.50
P(S) =0.30
We have to check whether snow and cold whether are independent events.
If the events A and B are independent then,
Checking,
Thus, the two events are independent.
For mutually exclusive events
Thus, the given events are not mutually exclusive.
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>
You have to double 1 and 50 to get 2 and 100
1:50 = 2:100
1x2=2
50x2=100
So the statement, <em>if she studied for 2 hours, she would have gotten 100%</em>, makes sense
Hope this helps!
x + (x+1) >=46
2x+1 >=46
subtract 1 from each side
2x >= 45
divide by 2
x>= 22.5
x =23
x+1 =24
The two integers are 23 and 24
A Perform the indicated operations. Show your solution in the given space below.
