Answer:
d
Step-by-step explanation:
d because there are no numbers common to both sets
Disjoint sets are those sets that have no common values between the sets.
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, complements of sets.
We have,
Disjoint sets are those sets that have no common values between the sets.
a) A: odd numbers; B: the number 5
Set A = {1, 3, 5, 7, 9,.....}
Set B = {5}
A ∩ B = {5}
This is not a disjoint set.
b) A: even numbers; B: numbers greater than 10
A = {2, 4, 6, 8, 10, , , }
B = {11, 12, 13, 14, 15, 16, 18,,,,,}
A ∩ B = {12, 14, 16, 18,,,}
This is not a disjoint set.
c) A: numbers less than 5; B: all negative numbers
A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}
B = {, , , , -3, -2, -1}
A ∩ B = { , , , , -3, -2, -1}
This is not a disjoint set.
d) A: numbers above 100; B: numbers less than -200
A = {101, 102, 103, 104, ,,,,,,}
B = {, , , , -204, -203, -202, -201}
A ∩ B = Ф
There are no common values between set A and set B.
This is a disjoint set.
Thus,
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
Learn more about sets here:
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If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail
what is the interquartile range of the sequence 5,5,8,8,13,14,16,16,19,22,23,27,31 ?
Answer:
The Interquartile range is 10.
Step-by-step explanation:
First, we will need to find the mean, the mean of this sequence is 16, you will now need to find quartile 1 and quartile 3. Quartile 1 is 13, and quartile 3 is 23. Lastly, subtract Quartile 3 and Quartile 1 will be the answer.
So, 23-13=10
The Answer will be 10, the interquartile range is 10.
Hope this helps!
A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°
angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due
to gravity is 32 ft/s^2.
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
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Graph y=3x^2 show all steps please
Answer:
In image
Step-by-step explanation:
if y=3x^2
if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3
if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12
Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2
Choose the statement that best describes the error in finding the volume of the solid.
Answer:
the formula used gives surface area instead of volume
Bella paints rows of flowers for an art piece. There are 9 flowers in each of the 6 rows. She paints 1/3 of the flowers yellow. How many yellow flowers are there?
Answer: 18 yellow flowers
Step-by-step explanation:
There are 9 flowers in each of the 6 rows. The total number of flowers planted is therefore:
= 6 rows * 9 flowers per row
= 54 flowers
A 1/3 of these flowers were yellow flowers so the number of yellow flowers planted is:
= 1/3 * 54
= 54/3
= 18 yellow flowers
Mr. Nunez opened an account with a deposit of $3,000.
- The account earned annual simple interest.
- He did not make any additional deposits or withdrawals.
- At the end of 5 years, the balance of the account was $3,765.
What is the annual Interest rate on this account?
A. 6.6
B. 5.1
C. 4.5
D. 5.7
*yawn*...............
Answer:
yawwwwwwnnn......,....done
how do I learn all this by today at 6:30 pm any ways I can learn this faster?
Answer:
Practice
Step-by-step explanation:
Just keep trying maybe read it out loud or write it?
Answer:
Go though it fast but get the key info
Step-by-step explanation:
Find the slope of the line through the pair of points.
(13, 5) and (3,5)
Answer: 0
Step-by-step explanation:
So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.
6 in.
10 in.
12 in.
8 in.
16 in.
What is the area of the figure?
OA. 52 square inches
B. 152 square inches
O c. 192 square inches
D. 272 square inches
Answer:
152 square inches
Step-by-step Explanation:
To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)
We should get 80+48+24 which add up to 152.
In case if you are confused which parts you don't understand in these photos, you can ask in the comment.
PLEASE HELP!!! Will Give Brainliest!! Calculate the limit, if it exists, of the following (pre-calculus problem, please show work)
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Give an example of two angles that are supplementary and adjacent
thx to whoever gives the answer
Answer:
120 and 60 (both add 180)
Step-by-step explanation:
If two supplementary angles are adjacent to each other then they are called linear pair.
What number would you divide by to calculate the mean of 3, 4, 5, and 6?
A) 6
B) 3
C) 5
D) 4
Answer:
4
Step-by-step explanation:
Because it is the answer
HElP PLS I WILL DO ANYTHING BUT HELP
Answer:
1/32
Step-by-step explanation:
There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.
1/8 * 1/4 = 1/32 chance of landing on green and then blue.
please help ill give brainlist....
Tina spends 25% of her day in school. She spends 1/3 of her day sleeping. She spends 1/8 of her time at soccer practice. How many free hours does Tina have during the day? I NEED THIS ANSWER NOW
Answer:
7 hours
Step-by-step explanation:
24 hours - 25% - 1/3 - 1/8 =
18 - 8 - 1/8 =
10 - 1/8 =
7
At the bank, Mr Drew changes a £5 note for 20p pieces. How many 20p piece coins will he get?Single line text.
Answer:
Hence Mr Drew will get 20 pieces of a Quarter
Step-by-step explanation:
From the question we are told that:
Money changed [tex]m= 5[/tex]
Number of coins [tex]N=20p[/tex]
Generally the equation for coin change into x is mathematically given by
[tex]x=\frac{m}{N}[/tex]
[tex]x=\frac{5}{20}[/tex]
[tex]x=\frac{1}{4}[/tex]
Therefore oin change into x is given as
[tex]x=\frac{1}{4}[/tex]
Hence Mr Drew will get 20 pieces of a Quarter
In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.
Answer:
∠Q = 35.5°
Step-by-step explanation:
We are given;
q = 6.5 inches
o = 8.6 inches
∠P = 55°
Let's first use cosine rule to find p.
p² = q² + o² - 2qo cos P
Plugging in the relevant values;
p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)
p² = 42.25 + 73.96 - 32.0629
p² = 84.1471
p = √84.1471
p = 9.17 inches
Using sine rule, we can find ∠Q;
p/sin P = q/sin Q
sin Q = (q•sinP)/p
sin Q = (6.5 × sin 55)/9.17
sin Q = 0.5806
Q = sin^(-1) 0.5806
Q ≈ 35.5°
Answer:
47.5
Step-by-step explanation:
From delta math
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
9 km
5 km
5 km
5 km
5 km
Оа
280 km
Ob
320 km
Ос
225 km
Od
272 km
Answer:
C. 225 km3
Step-by-step explanation:
(06.01 LC)
What conditions must be met to use z procedures in a
significance test about a population proportion? (4 points)
1. The sample size is greater than 30.
II. The population is greater than 10 times the sample size.
III. The probability of success multiplied by the sample size is
greater than or equal to 10, and the probability of failure
multiplied by the sample size is greater than or equal to 10.
Answer:
1. The sample size is greater than 30.
Step-by-step explanation:
z test is a statistical test, used for hypothesis testing, for verifying statistical significance of a population parameter (from sample statistic)
It is used when in case when the sample size is large, ie greater than 30. It is used when the data follows normal distribution. In case of small sample size, ie less than 30, t test is used.
To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?
Answer:
4.2 cubic inches
Step-by-step explanation:
Find the diagram attached
Volume of the rectangular pyramid = BH/3
B is the base area
H is the height of the pyramid
Given
Base area = 3.2in * 1.4in
Base area = 4.48sq. in
Height = 2.8in
Volume of the rectangular pyramid = 4.48*2.8/3
Volume of the rectangular pyramid = 12.544/3
Volume of the rectangular pyramid = 4.2 cubic inches
The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?
Answer:
x = 1/2
Step-by-step explanation:
8x-(4x-3)=5
Distribute the minus sign
8x -4x +3 = 5
Combine like terms
4x+3 =5
Subtract 3 from each side
4x+3-3 = 5-3
4x = 2
4x/4 = 2/4
x = 1/2
PLZ HELP WILL MARK BRAINLIEST!!!
Answer:
(0-8)
Step-by-step explanation:
the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)
3) Which of the following is the equation for
the axis of symmetry?
A) x=-b/2a
B) x=-a/2b
C)x=b/2a
D)x=-c/2a
Answer:
A
Step-by-step explanation:
the equation is always x=-b/2a
Two expressions are shown below:
1. 514÷23
2. 514×32
Without solving these expressions, determine if they are equivalent. How do you know? (Please help..)
Answer:
Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )
Plot the inequality x < 0
Step-by-step explanation:
This is saying " Every number possible thats less than, but not 0" so you show that
Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks
Answer: C
Step-by-step explanation:
My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.
#[tex]AnimePower[/tex]
PLEASE HELP ME!!
Part A: The average rate of change between the 2nd and 3rd point is
Select a Value
(2,6,10,-6,-10)
Part A: The average rate of change between the 3rd and 4th point is
Select a Value
(2,6,10,-6,-10)
Part B: The average rate of change between the 2nd and 3rd point is
Select a Value
(2,6,10,-6,-10)
Part B: The average rate of change between the 4th and 5th point is
Select a Value (6,18,162,-54,-18)
Answer:
6 ; 10
18 ; 162
Step-by-step explanation:
Recall :
Rate of change = Slope = Rise / Run = (y2 - y1) / (x2-x1)
2nd point is (1, 7)
3rd point is (2, 13)
Rate of change = (13 - 7) /(2 - 1) = 6 /1 = 6
3rd and 4th point :
(2, 13)
(3, 23)
Rate of change = (23 - 13) / (3 - 2) = 10 /1 = 10
PART B:
(2, 11) ; (3, 29)
Rate of change = (29 - 11) / (3 - 1) = 18 /1 = 18
(4, 83)
(5, 245)
Rate of change = (245 - 83) / (5-4) = 162 / 1 = 162