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3 years ago

Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

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A survey was taken of students in math classes to find out how many hours per day students spend

Hoochie [10]

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

6 0

3 years ago

How to show the tens fact you used. write the difference. <br> 12-7=____<br> 10-___=____

prisoha [69]

The first answer is 5,but i don't know about the second one. (sorry)

3 0

3 years ago

A small cargo plane currently has 140 pounds of cargo aboard. In addition, n boxes weighing 45 pounds each will be brought aboar

Vika [28.1K]

Answer:

The inequality that represents this situation is: $140 + 45*n < p$

Step-by-step explanation:

Since the plane already had 140 pounds on board and "n" boxes will be loaded on it, then the weigh of each box multiplied by the number of box should be the extra cargo on the plane. This extra cargo added to the previous load must be less than the limit of cargo the plane can take as shown below:

$140 + 45*n < p$

3 0

3 years ago

Is the negative square root of 9 rational or irrational

Nana76 [90]

Answer:

Rational

Step-by-step explanation:

-9 is rational because 9 is a perfect square and all perfect squares are rational.

6 0

3 years ago

Students make 93.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.

s2008m [1.1K]

Answer:

$76.5

Step-by-step explanation:

93.5÷5.5=17

17×4.50=76.5

Therefore the answer is 76.5.

8 0

3 years ago