Answer:19/26
Step-by-step explanation:
Total number of students=26
Number of students that play basket ball=8
Number of students that play
baseball=11
Probability of playing both=6
Probability of playing either of the 2 games=8/26+11/26=19/26
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.
14/15 * 5/2
Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3
*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.
Steps in Dividing fractions.
24/60 ÷ 8/15
Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.
Reciprocal of 8/15 is 15/8.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.
24/60 * 15/8 = (24*15) / (60*8) = 360/480
Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4
360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
Answer:
no it is not
Step-by-step explanation:
3x+9y=1 simplified is
9y=-3x+1
y=-1/3x+1/9
this is the exact same equation as 3x+9y=1, so you cannot find another line thats parallel to it and passes through that same point (it'll always be that point)
Answer:
Weight of parcel to the nearest whole kilogram = 6 kg
Explanation:
Weight of parcel = 12 lbs 8 oz
1lb = 16 oz also we have 1lb = 454 g
Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs
Weight of parcel in g = 12.5*454 = 5675 g
Weight of parcel = 5675 g = 5.675 kg
Weight of parcel to the nearest whole kilogram = 6 kg
Answer:
See below
Step-by-step explanation:
then f(x)=0 if x<0 and f(x)=x if x≥0.
When x→-∞, f is the constant function zero, therefore 
. When x→∞, f(x)=x and x grows indefinitely. Thus 
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x)=x) and if x<0, f'(0)=0 (the derivative of the constant zero). In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
