Answer:
2 meters, cuz shovels are usually pretty long
Answer:
see below
Step-by-step explanation:
1.
m = (y2-y1)/(x2-x1)
= (90-80)/(0-1)
= 10/-1
=-10
The slope is -10 ft/s
This means the height decreases 10 ft for every second that passes
This is not proportional because it has to go through the point (0,0)
4.
m = (y2-y1)/(x2-x1)
= (1000-0)/(3-0)
= 1000/3
=1000/3
The slope is $1000/3
This means the 1000 dollars is sold every 3 days
This is proportional because it goes through the point (0,0) and has a constant slope
Question 1:Multiply both sides of the proportion by 35.
You get.
7(x-1) = 4x+2
7x-7 = 4x+2
Now, add both sides by 7 and subtract both sides by 4x
3x = 9
Divide both sides by 3
x=3
Question 2:Multiply both the numerator and the denominator of

by 3.
We want to multiply it by 3 so that the +1 and +3 become +3 and +9. +3 and +9 have a difference of 6, just like 15 and 21, which is what we want.

Set the numerator equal to the numerator and the denominator equal to the denominator.
3x+3 = 15
3x+9 = 21
If you solve both of these, you get x=4 for both.
That's your answer.
Hope this helps! :)
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.