Answer:
[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]
It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
What is a set ?
Sets are represented as a collection of well-defined objects or elements.
It is given that A , B , C , X are sets with A , B and C are subsets of X.
Let's assume X be an element of A intersection B complement. or (A ∩ B)'.
i.e.,
X ∈ (A ∩ B)'
Also , we can say that :
X ∉ ( A ∩ B)
This implies :
X ∉ A or X ∉ B
or we can also say that :
X ∈ A' or X ∈ B'
or
X ∈ A' ∪ B'
So , we can conclude that :
(A ∩ B)' = A' ∪ B'
or A Intersection B complement is equal to the union of the complements of the sets A and B.
Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.
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The distance from Earth to the moon is about 4×10 5 kilometers. The distance from Earth to Mars is about 5×10 7 kilometers. Use this data to compare the distances and complete the sentence.
The distance from Earth to Mars is _______________
times greater than the distance from Earth to the moon.
can you solve five ninths plus four sixths =
Answer:
five ninths plus four sixths is sixty six fifty four
Write in words. Use commas and hyphens.
38,492
Thirty-eight thousand, four hundred and ninety-two
Simply write out the number as you would say it out loud!
HELP LAST ATTEMPT !?!!!!!
Answer:
x=31
Step-by-step explanation:
2x+1=63 [Vertically opposite angles]
2x=63-1
x=62/2
x=31
4/9x8/75
I do not get it
Answer:
124/ 225
see photos for step to step solution
Need help fast thank you it would really help
Answer:
See belowStep-by-step explanation:
Line Ay - y₁ = m(x - x₁)y + 3 = -3/4(x + 4)The slope is m = -3/4Line BUse the points (0, 5) and (6, 0).
The slope is:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - 5)/(6 - 0) = - 5/6Compare the absolute value of slopes:
-|3/4| < |5/6|The slope of the line A is shallower (or less steep, use the corresponding word from the drop down list) of slope of line B.
Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.
Answer:
No! Both are wrong!
Step-by-step Explanation:
the value of absolute function, (|.|) is always positive
that means -6x always has to be positive
and for -6x to be positive x has to be negative
(since, two negatives make a positive)
therefore, the value of x to the equation will be a negative value and not a positive one.
Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.
ONLY negative value of x will be the solution.
Brian has 40 stickers. He shares 5 with his friends every day. After 5 days, how many stickers will Brian have left?
Answer: 15 stickers
Step-by-step explanation: 5*5=25 40-25=15
Please help
100 point question
I will mark brainliest
Please answer the questions in the picture
Thanks :)
Answer:
5. yes It still has the same density because it is the same thing.
6. a. float less than one
b. Float less than one
C. Sink greater than one
7. 1652.4 This is because the density equation is mass/volume. We have the density and mass but no volume. do get it we need to re arrange the equation. mass x density = volume.
Step-by-step explanation:
Please Help! I will give you a lot of points! (6.3)
The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer
What is the average yearly salary of an architect?
What is the average yearly salary of a lawyer?
Let architect s income be x
Lawyers income be 2x-34AtQ
[tex]\\ \sf\longmapsto x+2x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x-34=215[/tex]
[tex]\\ \sf\longmapsto 3x=249[/tex]
[tex]\\ \sf\longmapsto x=83[/tex]
[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]
Lawyers income=132thousandArchitect s income=83thousandPLEASE ANSWER THIS
a)Convert 0.25 as fraction
b)Write ¹⁹⁄₂₀ in Decimal Form
Please Answer Ill Rate U 5/5 And Thank U
Answer:
a) 1/4
b) 0.95
Step-by-step explanation:
0.25 is 25/100, which is 1/4
19/25 is 95/100, which is 0.95
how many permutation are there of the letters of the word "ENGLISH"
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
5040120[tex]\huge\blue{ChaEunWoo2009}[/tex]
#CarryOnLearning
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
3. Solve 1 < 3x – 2 < 13.
Answer:
1< x <5
Step-by-step explanation:
1<3x−2<13
1+2<3x−2+2<13+2 (Add 2 to all parts)
3<3x<15
33<3x3<153 (Divide all parts by 3)
1< x <5
Answer:
(1,5)
Step-by-step explanation:
A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (V) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
50 POINTS NEED HELP ASAP PLS AND THANK YOU
It is observed that point (18, 206) does not lie on the line. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = 12x
Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.
The equation is drawn below.
From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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5 years ago, the average age of ishan and his father was 27 years old. If ishan is now 1/3 of his father’s age, how old os ishan now?
Answer:
9
Step-by-step explanation:
3x9=27
The ratio
adjacent
describes which function?
hypotenuse
O A. Cosine
O B. Tangent
1.0
O C. Secant
O D. Sine
O
Answer:
A. Cosine
Step-by-step explanation:
It is cosine because ADJ/HYP is Cosine in Soh Cah Toa.
The ratio adjacent/hypotenuse shows the Cosine function.
What is Trigonometry?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
We have,
To find the ratio equivalent to Adjacent / Hypotenuse.
We know that the ratio of an angle's perpendicular (opposite) side to its hypotenuse is known as its sine.
and, Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.
or Cosine ratio = Adjacent/ Hypotenuse
Learn more about Trigonometry here:
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A triangle has a base of 16 inches and a height of 1/8 inches. What is its area?
Answer:
1 in²
Step-by-step explanation:
The area of the triangle calculated using the area formula is 1 in²
Given the Parameters :
Base of triangle = 16 inches
Height of triangle = 1/8 inches
Area of a triangle can be obtained using the relation :
Area = 1/2 × base × height
Substituting the Parameters into the equation :
Area of triangle = 1/2 × 16 × 1/8 = 1 in²
Therefore, the area of the triangle is 1 in²
What is 5 3/4×4 2/3 ?
Answer:
26 5/6
Step-by-step explanation:
make improper fractions by multiplying whole number and denominator, then adding the numerator
(5*4+3)/4 * (4*3+2)/3
23/4 * 14/3
322/12
161/6
26 5/6
What’s the domain and range ?
Answer:
2,5 I'm guessing
Step-by-step explanation:
because two up and five to the right even though its kinda blurry
Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at https://brainly.com/question/24166849
Please answer all 3 questions. I need real answers. It should only take about 10 minutes. Real answers only, or I will report you.
Answer:
1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14
2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5
3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4
I need help please! (23)(−98)(−45)(−1)
Answer:
−101430
Step-by-step explanation:
Pictomath lol
What is the solution to the following system of
equations?
-2x + 8y = - 14
- 4x + y = - 13
what is the average of 2 1/3 and 3 1/2
Answer:
2 11/12
Step-by-step explanation:
The average of 2 ⅓ and 3 ½ is 2 11⁄12. To find the average, find the sum of the fractions and divide by 2.
2 ⅓ + 3 ½ = 7⁄3 + 7⁄2 = 14⁄6 + 21⁄6 = 35⁄6 or 5 5⁄6
5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12
The average of 2⅓ and 3½ is 2 11/12
2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6
5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12
Finding the Average
Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:
Add the given values.
Divide the sum by the count of values.
Equation:
(2 1/3 + 3 1/2) / 2 = ?
Solution:
(2 1/3 + 3 1/2) / 2 = ?
* Change the mixed numbers to improper fractions.
= (7/3 + 7/2) / 2
* Add the fractions. Find the LCD.
= (14/6 + 21/6) / 2
= ( 35/6 ) /2
To divide change the sign to multiplication, The give the reciprocal of the second fraction
= 35/6 × 1/2
= 35/12 or 2 11/12
Final Answer:2 11/12
hope it helps youThank You !!help Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
35
Step-by-step explanation:(-7) • (-5)
= 7 • 5
= 7 + 7 + 7 + 7 + 7
= 14 + 7 + 7 + 7
= 21 + 7 + 7
= 28 + 7
= 35
[tex] [/tex]
The domain of a function h(x) is x≤-2, and the range is y<1. What are the domain and range of its inverse function, h^-1(x)
Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:
The domain is x < 1.The range is [tex]y \leq 2[/tex].What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:
The domain is x < 1.The range is [tex]y \leq 2[/tex].More can be learned about domain and range at https://brainly.com/question/10891721
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What kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP
Step-by-step explanation:
graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.
Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...
Answer:
C or B
Step-by-step explanation:
because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C
ILL GIVE BRAINLY, HELP IF YOU ARE INTERESTED. THANK YOU
Answer:
First box is 7x + 21, because when you distribute, you are multiplying the term on the outside of the paranthesis with the term(s) on the inside of the paranthesis.
Second box is 21 + 7x, because the communitive property is basically the same except the terms may be flipped. (Nothing else is different, all terms and signs stay the same, and has the same product/answer.)
Step-by-step explanation:
Hope this makes sense.
Please tell me if I'm wrong :)
Answer:
wrong you for the points you bozzo