There are 14 blue beads in total. If you use 14 blue needs and 6 green needs that is 14+ 6 which equals 20.
If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z
Answer:
A. X∪Y = {25, 36, 49}
B. X∩Y = ∅ i.e empty set
C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
D. X′∩Y∩Z = ∅
Step-by-step explanation:
We'll begin by determining the universal set (ε), set X, set Y and set Z.
This can be obtained as follow:
ε = {whole numbers less than 50 but greater than 20}
ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}
X = {perfect squares}
X = {25, 36, 49}
Y = {factors of 12}
Y = ∅ i.e empty
Z = {prime numbers}
Z = {23, 29, 31, 37, 41, 43, 47}
A. Determination of X∪Y
X = {25, 36, 49}
Y = ∅
X∪Y =?
X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.
X∪Y = {25, 36, 49}
B. Determination of X∩Y
X = {25, 36, 49}
Y = ∅
X∩Y =?
X∩Y => elements common to both set X and Y
X∩Y = ∅ i.e empty
C. Determination of X′
ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}
X = {25, 36, 49}
X' =?
X' => elements in the universal set but not found in set X.
X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
D. Determination of X′∩Y∩Z
X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
Y = ∅
Z = {23, 29, 31, 37, 41, 43, 47}
X′∩Y∩Z =?
X′∩Y∩Z => elements common to set X', Y and Z
X′∩Y∩Z = ∅
2.3
Write the ratio in its simplest form:
Convert
2 m : 8cm: 40mm
Answer:
1:20:500
Step-by-step explanation:
2m:8cm:4mm
Convert the three to a single unit, take mm giving 2000:80:4
In its simplest form 500:20:1=1:20:500
Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?
Answer:
3 days
Step-by-step explanation:
20/6 is 3.333
Answer:
3 days
Step-by-step explanation:
cuz after three days you will have two pounds left so you cant go another day
y = 100 - 8.9x percent
A triangle has vertices on a coordinate grid at L(9,7)L(9,7), M(9,-8)M(9,−8), and N(1,7).N(1,7). What is the length, in units, of \overline{LM} LM ?
Answer:
LM = 15 units
Step-by-step explanation:
Vertices of ΔLMN are,
L(9, 7), M(9, -8), N(1, 7)
By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, distance between vertices L and M,
LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]
LM = 15 units
Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.
Answer:
-117/640
Step-by-step explanation:
ba + cd
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
Hence it can be calculated as follows
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
Answer: -2 11/20
Step-by-step explanation I did this and it is correct
Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?
Answer:
Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}
Simple event
Step-by-step explanation:
Sample space is a list of all the possible outcomes.
This is a simple event because you are only doing one event, such as choosing marbles from a bag.
A compound event would be multiple simple events, such as flipping a coin and rolling a dice.
The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?
Answer:
197.095
Step-by-step explanation:
Mean, m = 219 ft²
Standard deviation, s = 32.5 ft²
For a bedroom to be among the smallest 25%
P(x < Z) = 0.25
From Z probability calculator, this corresponds to a Zscore of - 0.674
Recall :
Zscore = (x - m) / s
x = bedroom size
-0.674 = (x - 219) / 32.5
-0.674 * 32.5 = x - 219
-21.905 = x - 219
x = - 21.905 + 219
x = 197.095
Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095
what is 2y-x=-4 in slope intercept form
Answer:
y= -1/2x - 2
Step-by-step explanation:
To change standard form to slope intercept form, bring the -x to the other side of the equation.
You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x
Make y stand on its own. Divide the other side by 2.
You will end up with y= -1/2x -2
15 of 20 answer
You and your friend fill 20 bags with leaves. The ratio of bags you filled to bags your friend filled is 2 to 3. Use the tape diagram to find how many bags
you filled
You
Your friend
You filled
bags
Answer:
8 bags
Step-by-step explanation:
You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.
Find the value of x. Round to the nearest tenth of a unit. 203 m 22° O A. 82.0 m O B. 218.9 m O C. 502.4 m O D. 541.9 m
Answer: 502.4 m
Step-by-step exp
Answer: C or 502.04
Step-by-step explanation: took the practice got 100%
What is the area of this composite figure??
Answer=53
Step-by-step explanation:
What is the volume of a cylinder,in cubic feet,with a high of 5 feet in a base diameter of 10 feet?Round to the nearest tenth place
Answer:
390.7ft³ is the answer
PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?
eu preciso de ajuda pfvr:(
The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Answer:
13
Step-by-step explanation:
Area=½×b×h
32.5=½×b×5
32.5=5/2b
To get be multiply each side by reciprocal of 5/2 which is 2/5
b =13
please help me please
Answer:
the answer is 70
Step-by-step explanation:
Because I'm in collage I know this stuff just trust me here
if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking
Answer:
what if i took the 4 other ones??
Answer:
4 kids
Step-by-step explanation:
6 minus 2 equals 4. it one easy qusation
What is the closure property of multiplication for rational
expressions? Explain why rational expressions are
closed under multiplication.
Answer:
Sample Response: The closure property of multiplication for rational expressions states that the product of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for multiplication of rational numbers, it also holds true for multiplication of rational expressions for values for which the expressions are defined.
Step-by-step explanation:
Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?
Answer:
1/3 of the pizza remains.
Step-by-step explanation:
Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza. The amount of pizza left is
1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3
1/3 of the pizza remains.
Find the area of the following trapezoid.
14
7
5
Answer:
option b 66.5u square is the correct ans
Alexa is driving on the freeway. She passed mile marker 400. The fastest she will drive is 65 mph, though there is a bit of traffic that might slow her down a bit, but she doesn't know exactly how much. The mile markers are increasing on her route. Write an equality that represents alexa’s speed
Answer:
she might go 50mph
Step-by-step explanation:
The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees fahrenheit. Location A: 86.7 F and Location B: 30.1 C
Answer: City A, [tex]0.28^{\circ}C[/tex]
Step-by-step explanation:
Given
The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]
The temperature of city B is [tex]30.1^{\circ}C[/tex]
We know, [tex]32^{\circ}F=0^{\circ}C[/tex]
So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]
[tex]30.38>30.1[/tex]
Clearly, the average temperature of city A is more than city B
The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]
HELPEOEODODOEKEKEL PLEASE
Answer:
Lily earns $225
y represents the amount that Lily earns
x represents the painting's price
Step-by-step explanation:
2/5p-3.11=1.13
what is p
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?Chapter 7 need help ASAP
Answer:
The answer should be that Q is (-3,-2)
Step-by-step explanation:
у = - 2х
y = 8x — 10
Answer:
(1,-2)
Step-by-step explanation:
The pic above the answer is how I got my answer. if you need to show your work you can use that
helppp ! please and thank you
Answer:
1/16 hope this helps you
Plz help I am bad at this
Points that you can have! :)
Answer:
Thank youuu !
Step-by-step explanation:
Answer:
Thank you
Step-by-step explanation: