Distance divided by time is speed. To find the rate of speed, divide 40 yards by 4.24 seconds which is approximately 9.43 yards per second. 9.43 yards per second is the rate of speed.
We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
Answer:
y = 4x + 5.5
Step-by-step explanation:
We put 2y in the y spot, obviously
2y = mx + b
Then we put 8x in the x spot
2y = 8x + b
Then we put 11 in the b spot
2y = 8x + 11
Then, to simplify, we divided by equation by two (it still gives the same results)
y = 4x + 5.5
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)
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Answer:</h3>
Option B. because all rational numbers are integers.
Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.
