1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksAgata [21]
3 years ago
14

IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to

Mathematics
2 answers:
motikmotik3 years ago
8 0

Step-by-step explanation:

while uniting there A and B double number shouldn't be written in place of double we should write only one number and that is the model for these type of. question

Zielflug [23.3K]3 years ago
4 0

Answer:

=[5,6,7,8,9]

Step-by-step explanation:

a=(5,6,7)

B=(7,8,9)

AUB=(5,6,7)U(7,8,9)

=[5,6,7,8,9]

You might be interested in
N independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are giv
faltersainse [42]

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

6 0
3 years ago
Which expression is equivalent to x6 – 9?
Lorico [155]

Answer:

(x^{3})^{2} -3^{2}

Step-by-step explanation:

we have

x^{6}-9

we know that

x^{6}-9=(x^{3})^{2} -3^{2}

Applying difference of square

(x^{3})^{2} -3^{2}=(x^{3}+3)(x^{3}-3)

7 0
3 years ago
Read 2 more answers
A bowl contains blueberries and strawberries. There are a total of 10 berries in the bowl. The ratio of blueberries to strawberr
Ivahew [28]

Answer:

4 strawberries and 6 blueberries

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The first five terms of a sequence are
Elena L [17]

Answer:

(a) 7 + 3( n - 1 )

(b) 1006

Step-by-step explanation:

ARITHMETIC SEQUENCE.

The number of term of an Arithmetic progression has the formular :

nth term = a + ( n - 1 ) d

a = 7

d = 10 - 7 = 3

nth term = 7 + ( n - 1 ) 3

= 7 + 3n - 3

= 7 + 3( n - 1 )

Therefore,

the nth term of the sequence

= 7 + 3( n - 1 )

(b) For the 1000th term

= 7 + 3 ( 1000-1 )

= 7 + ( 999 )

7 + 999 = 1006

Therefore,

the 1000th term = 1006

5 0
2 years ago
Josh is going to the store to buy candy. Bags of candy corn cost $3 and bags of chocolate cost $5. He needs to buy at least 20 b
tino4ka555 [31]

Answer:

x + y ≥ 20

3x + 5y > 60

Step-by-step explanation:

Let

Bags of candy corn = x

Bags of chocolate = y

Cost of bags of candy corn = $3

Cost of bags of chocolate = $5

He needs to buy at least 20 bags of candy and he cannot spend more than $60

system of linear inequalities to model the situation.

x + y ≥ 20

3x + 5y > 60

The system ot inequalities which models the situation

x + y ≥ 20

3x + 5y > 60

5 0
3 years ago
Other questions:
  • Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars. ​R
    7·1 answer
  • Miranda worked Monday at her part time job and earned $71.75 for 7 hours. How much would Miranda earn after working 15 hours?
    12·1 answer
  • Doug sold 125 sandwiches to raise money for his boy scout troop. 80% of those sandwiches were sold in his neighborhood. How many
    13·1 answer
  • Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
    15·1 answer
  • Describe and correct the error in writing an equation of the line with a slope of 2 and a y-intercept of 7.
    11·1 answer
  • 2x+10= 5x-17 hurry is for a test
    8·2 answers
  • Is 5(x+1) the same as 5x+1? Explain your answer.
    8·1 answer
  • Mike measured the stage where his band was going to play to determine if it is a right triangle. Does the stage with side length
    10·1 answer
  • Which one is a polynomial ? it’s not B!!
    9·1 answer
  • "If &lt; A and then m&lt; A + m/B = 90°"<br> A. Complement Theorem<br> B. Definition of a Right Angle<br> C. Congruent Complemen
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!