Answer:
The range of heights of the cheerleaders is the interval [58, 74)
All real numbers greater than or equal to 58 inches and less than 74 inches
Step-by-step explanation:
we have
![260 \leq 4h+28](https://tex.z-dn.net/?f=260%20%5Cleq%204h%2B28%20%3C324)
Divide the compound inequality into two inequalities
-----> inequality A
-----> inequality B
Solve inequality A
![260 \leq 4h+28](https://tex.z-dn.net/?f=260%20%5Cleq%204h%2B28)
Subtract 28 both sides
![232 \leq 4h](https://tex.z-dn.net/?f=232%20%5Cleq%204h)
Divide by 4 both sides
![58 \leq h](https://tex.z-dn.net/?f=58%20%5Cleq%20h)
Rewrite
![h \geq 58\ in](https://tex.z-dn.net/?f=h%20%5Cgeq%2058%5C%20in)
Solve the inequality B
![4h+28](https://tex.z-dn.net/?f=4h%2B28%20%3C324)
Subtract 28 both sides
![4h](https://tex.z-dn.net/?f=4h%20%3C296)
Divide by 4 both sides
![h](https://tex.z-dn.net/?f=h%20%3C74%5C%20in)
therefore
The range of heights of the cheerleaders is the interval [58, 74)
All real numbers greater than or equal to 58 inches and less than 74 inches
Answer:
Silver car
Step-by-step explanation:
It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.
so let's go with 10 gallons. pretty broad number right?
so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???
then we do that to 384 (the miles for the blue car)
(384/12)*10=320
so 320 is the mileage for the first car. Repeat the steps for the silver car!
(14/14)*10=10
so then: (504/14)*10= 360.
So which is bigger, 320 or 360?
360 is bigger, meaning it has better gas mileage.
Answer:
false: the event will never occur; the event will definitely occur; the event is likely to occur
true: there is a small chance that the event will occur
Step-by-step explanation:
Answer:15x
Step-by-step explanation:you add 12 + 3 which equals 15 and then you just carry the x over
Answer:
C) 15
Step-by-step explanation:
Here we have to use the combination to find the number of possible combinations.
Total number of classmates (n) = 6
We are selecting 2 individuals. So r = 2.
The combination formula nCr = ![\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Plug in n = 6 and r =2, in the above formula, we get
= ![\frac{6!}{2!(6-2)!}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B2%21%286-2%29%21%7D)
= ![\frac{6!}{2!4!}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B2%214%21%7D)
Simplifying the above factorial, we get
= 15
So the answer is C) 15