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Alex777 [14]
2 years ago
12

21, 18, 45, 33, 4, 12, 21 Mean: Median: Mode: Range:

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
8 0
Mean - 22.

Median - 33.

Mode - 21

Range - 41.

Hope this helps! :)
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Two trains are traveling at a constant rate. Which train has the greater speed?
natali 33 [55]
A point on the graph (for train b) that is exact is (2,250). From the origin, the rise is 250 and the run is 2. Rise/run would give us 250/2, which is 125. This means that train B travels 125mi every hour. For train A, we subtract the distance from hour 2 from hour 3 to get the miles per hour (because 3-2=1, subtracting the distance of hour 3 from 2 will give us the distance in 1 hour). 180-120= 60, meaning train A travels at 60mph. 60<125, meaning A
3 0
2 years ago
Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
8 0
3 years ago
What is the solution of the equation?<br> -39.75 = 7.5m
kolezko [41]

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m

Hope this helps:)

6 0
3 years ago
Read 2 more answers
At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert was 360, what was the total
sattari [20]
1800
20%=1/5 which means 360x5 is the number of people at the concert
360x5=1800

hope this helps :)
8 0
3 years ago
Read 2 more answers
The solution to the system of equation below is (−2, −1). 2x − 3y = −1 11x − 9y = −13 When the first equation is multiplied by −
Natali [406]
We are given with two equations 2x − 3y = −1 and <span>11x − 9y = −13. The problem says that when the first equation is multiplied by -3 which results to -6x + 9y = 3, the sum of the resulting equation and the second one is equal to 5x = -10. We verify this: -6x + 11x = 5x while -9 y and 9 y cancels out. 3+-13 equals -10. Hence the total is really 5x = - 10.</span>
7 0
3 years ago
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