Answers:
- Discrete
- Continuous
- Discrete
- Continuous
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Explanations:
- This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
- This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
- This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
- This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.
So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.
Answer:
156 seats were sold at the store and 244 at the gallery
Step-by-step explanation:
Let the amount of stalls be x
Let the price per ticket for gallery be y
If 400 seats were sold in total, then;
x+y = 400 ... 1
If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;
8x + 6y = 2888 ....2
Solve both equation simultaneously
x+y = 400 ... 1 * 8
8x + 6y = 2888 ....2 .*1
__________
8x+8y = 3200 .
8x + 6y = 2888
Subtract
__________
8y - 6y = 3200 - 2888
2y = 312
y = 312/2
y = 156
Since x = 400 - x
y = 400 - 156
y = 244
hence 156 seats were sold at the store and 244 at the gallery
Answer:
The probability is 2/5
Step-by-step explanation:
Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car
The number of cars to select from is 6 + 9 = 15 cars
The number of yellow cars is 6
So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5
Answer:
7x + 15y
Step-by-step explanation:
4x+ 3 ( 5y + x)
Step 1: remove the brackets by multiplying 3 with (5y + x)
4x+ 15y + 3x
Step 2: add the 4x and 3x
7x + 15y