The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.
Given that a card is randomly chosen from 8 cards shown in figure.
We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.
Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Number of cards=8
Number of repeated cards=0
Number of cards showing Q and R =1 each.
Probability of getting Q or R is P(X=Q)+P(X=R)
= 1/8+1/8
=2/8
=1/4
=0.25
Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.
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Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
L = 5W - 10
5W = L + 10
W = 1/5(L + 10)
Area = L x W
240 = L(1/5(L + 10)
L^2 + 10L = 240(5) = 1200
L^2 + 10L - 1,200 = 0
Answer:
3. 15 Cubes
4. 60 ft per sec , 180 ft
5. 58 yards per min
6. $7.50, $18.00
Step-by-step explanation:
3. Number of Cubes in 7 bowls = 35
Number of Cubes in 1 bowls = 
Number of Cubes in 3 bowls =
4. Distance ran by Zebra = 420 ft
Time taken = 7 seconds
Speed = 
=60 ft per sec
Hence
Distance = speed x time
Distance covered in 30 seconds = 60 x 30 = 180 Ft
5. Distance travelled = 870 yards
Time taken = 15 mins
Speed =
yards per min
6. Cost of 3 pounds of apple = $4.50
Cost of 1 pounds of apple = 
=$1.50
Cost of 5 pounds of apple = 5 x $1.50 =$7.50
Cost of 12 pounds of apple = 12 x $1.50 =$18.00
Answer:
x=0 or f square root of 3f/9 or -f square root of 3f/9
Step-by-step explanation:
the steps are very long but I'm pretty sure it's correct
