A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:
rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles
<span>x²-x-30=0
factor this equation first
(x-6)(x+5) = 0
x - 6 = 0
x + 5 = 0
x = 6 , x = -5
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1) Experimental probability of drawing a Club = 9 / 40
The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.
2) Relative frequency of drawing a Spade = 1 / 5
Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.
3) Theoretical probability of drawing a Heart = 1 / 4
The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.
4) Theoretical probability of drawing a Club or Diamond = 1 / 2
The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.
5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.
Hope this helps!! :)
The equation that best represents the relationship between
the number of loaves of bread which is denoted by b and the number of cups of
bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas is needed to make
5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼
represents how many cups is needed to make 1 loaf of bread.
Answer:
4x³ - 30x² + 54x
Step-by-step explanation:
Length of the rectangular cardboard = 9 inches
Width of the rectangular cardboard = 6 inches
if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have
Length of the tray = length of cardboard - 2(side of square )
= 9 - 2x
Width of the tray = width of cardboard - 2( side of square)
= 6 - 2x
height of tray = sides of square
= x
volume of tray = Length × width × height
= (9 - 2x) (6 - 2x) (x)
Open the parenthesis
= (54 - 18x - 12x + 4x²)(x)
= 54x - 18x² - 12x² + 4x³
= 54x - 30x² +4x³
Re-arrange
4x³ - 30x² + 54x
Volume, V of the tray in terms of x = 4x³ - 30x² + 54x
