Answer:
n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)
Given n(A)=7
n(B)=9
n(A∪B)=14
Substituting in 1
14=7+9−n(A∩B)
⇒n(A∩B)=16−14=2
Step-by-step explanation:
ok
Answer:
The question is incomplete.
It should be:
If n(A)=36, n(B)=10, n(A∪B)=40, and n(A')=27. Find n(∪) and n(A∩B)Find n(U)
n(A') = n(∪) - n(A)27 = n(∪) - 36n(∪) = 27 + 36n(∪) = 63Find n(A∩B):
n(A∪B) = n(A) + n(B) - n(A∩B)40 = 36 + 10 - n(A∩B)n(A∩B) = 46 - 40n(A∩B) = 6What is the common ratio of the geometric
the answer is B. 7
Step-by-step explanation:
it's the number u see the most therefore its the most common
Answer:
D. 10 maybe?
Step-by-step explanation:
because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero
Find the slope of the line through each pair of points (11, 18) (20, 12)
Answer:
2/3
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 12-18)/(20 -11)
= -6/-9
= 2/3
7. In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answer:
17
Step-by-step explanation:
8+2+(3×3-2)=8+2+(9-2)=8+2+7=17
mistake in the first step
firstly we do × and ÷
then + and -
Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?
Answer:
The answer the above question is f(x) = x²
Answer:
fdybg
gyani
2574387y
sngsrh
funddhhtffdsdnjjj
Find the area of the shaded region.
A. 160 in²
B. 160.5 in²
C. 96 in²
D. 192 in²
Answer:
C. 96 in²
Step-by-step explanation:
24x8=192
1/2 x24x8= 96
192-96=96
find the 10 degree value can u help me on it
Solution:-10
As <AGQ and <EQG are corresponding interior angles
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}[/tex]
<AGQ=<PQR=60°<BHF=<PRQ=75°[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}[/tex]
According to angle sum property
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}[/tex]
what is the radius of the semicircle
will mark brainliest!!
picture included ^^^^
please and THANK YOU
^^!!
============================================
Work Shown:
Apply the Law of Sines to get the following. Make sure your calculator is in degree mode.
[tex]\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a}=\frac{\sin(C)}{c}\\\\\frac{\sin(20)}{4}=\frac{\sin(87)}{c}\\\\c*\sin(20)=4*\sin(87)\\\\c=\frac{4*\sin(87)}{\sin(20)}\\\\c\approx 11.6791897\\\\c\approx 11.7\\\\[/tex]
So that's why the answer is choice D) 11.7
I really really need help with this
Answer:
c) 21
Step-by-step explanation:
[tex] \sqrt{169} + \sqrt{64} [/tex]
13+8
answer is 21
The report "Digital Democracy Surveyt describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching
TV. Suppose that the sample size was 760.
(a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Hop 0.5 versus Hp > 0.5
O Moip 0.5 versus H: = 0.5
O Hp = 0.5 versus HP < 0.5
OH:P < 0.5 versus , p > 0.5
OHOD 0.5 versus H: 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your p-value to four decimal places.)
ZE
P-value
Answer:
H0 : p = 0.5 versus H1: P < 0.5
Test statistic = - 2.76
Pvalue = 0.0029
Step-by-step explanation:
The hypothesis :
We are to test if less Than half of the American population within the of 14 to 18 years usually use social media while watching TV :
Hence, population proportion, p = 0.5
H0: p = 0.5
H1: P < 0.5
Sample size, n = 760
Sample proportion, Phat = 45% = 0.45
The test statistic, Z :
Z = (Phat - P) / √[(P(1 - P)) /n]
Z = (0.45 - 0.5) / √[(0.5(1 - 0.5)) /760]
Z = - 0.05 / √0.0003289
Z = - 2.7568 ; Z = - 2.76 (2 decimal places)
The Pvalue :
Using technology :
Pvalue from Zscore calculator ; Pvalue = 0.0029
Decision region :
Reject H0 if Pvalue < α
α = 0.05
Since 0.0029 < 0.05 ; we reject the Null and conclude that less than half of American within age 14 to 18 years usually use social media while watching TV.
Tính nhẩm:
a, 138^2-38^2 b, (10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)
PLZZZ, giúp vs
Answer:
is there a question?
Step-by-step explanation:
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
Consider triangle GHJ in the figure below.
please help :)
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
Help needed ! Asap rocky! U hurddd mamahuevo
Answer:
Step-by-step explanation:
Hello!
x < -45/15
=>
{xIx<-3}
maths question please help !! thank u :)
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) (Multiply both sides by 3)
3D= 2E +2F -----(3) (Expand)
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
The diameter of a $1 coin is 26.5 mm. Find the area of one side of the coin. Round to the nearest hundredth.
The area of one side of the coin is 41.605 mm².
Given that, the diameter of a $1 coin is 26.5 mm.
We need to find the area of one side of the coin.
What is the area of a circle formula?The area of a circle formula is A=πr².
Now, radius=26.5/2=13.25 mm.
Area of a coin=3.14×13.25=41.605 mm².
Therefore, the area of one side of the coin is 41.605 mm².
To learn more about the area of the circle visit:
https://brainly.com/question/11952845.
#SPJ2
√a²-b² +√2ab-b² >a giúp với huuuuuuuuuuuuuuuuuuuuuuu
Step-by-step explanation:
버터처럼 부드럽게
Is it possible to build a triangle with side lengths of 3, 3, and 9?
Answer:
N0
Step-by-step explanation:
The sides of a triangle must be
a-b< c< a+b where a and b are the two smaller sides and c is the larger side
3-3 <9< 3+3
0<9<6
This is not true so it cannot make a triangle
answer:
no
step-by-step explanation:
each side must be smaller than the sum of other sides
so
9+3>3-right
3+3<9-wrong
When -2(x − 4) + 1 = 7 is solved, the result is:
Answer:
1
Step-by-step explanation:
-2(x-4)+1=7
First Distribute the -2.
-2x+8+1=7
Subtract the 8 and 1 from the whole equation.
-2x=-2
Divide both sides of the equation by -2.
x=1
I hope this helps!
Answer:
x = 1
Step-by-step explanation:
-2(x − 4) + 1 = 7
-2x + 8 + 1 = 7
-2x + 9 = 7
-2x = -2
x = 1
how do you figure this out step-by-step?
5x + 3y = 10
6x + 3y = 33
Multiply the second equation by -1.
5x+3y=10
-6x-3y=-33
The postive and negative 3ys cancel
-x=-23
x=23
10=5x-3y=3xy+10=13xy
simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answer:
24.68 gram
Step-by-step explanation:
Given that :
Volume = 182.8 ml
Density of liquid = 0.135 gram/ml
Recall :
Density = mass (g/ml) / volume (ml)
Substitute the value into the equation :
0.135 = mass / 182.8
Mass = 0.135 * 182.8
Mass = 24.678 gram
Hence, weight = 24.678 grams
Is this table a function why or why not?
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
What is the slope of a line perpendicular to a line that contains the points (-5, 4) and (-2, 4)?
Select the best answer from the choices provided.
A.
0
B.
no slope
C.
8/3
D.
-3/8
Please help me!!! I'm being timed
Answer:
search it in internet.hope you'll find the answer
If Sin x = -¼, where π < x < 3π∕2 , find the value of Cos 2x
Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.
The figure below is a square. Find the length
rational denominator.
side x in simplest radical form with a
Answer: 2
Submit Answer
Plsssss help
Answer:
x=1/sqrt(2) or sqrt(2)/2
Step-by-step explanation:
Since it's a square, the diagonal is equal to the side*sqrt(2). So 1=x*sqrt(2), x=sqrt(2)/2 or just simply 1/sqrt(2).
I need help with this
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
y = 3x ^ 2 + 6x- 12
(a=3; b=6; c= -12)
• Ta có Δ=b^2 -4ac
= 6^2 -4*3*( -12)
=180
• X= (-b+√Δ)/2a
≈ 3.2
• X= (-b-√Δ)/2a
≈ -3.2
Khi đó: y= 948/25
Và: y= -12/25
Vậy : A(3.2: 948/25)
B(-3.2; -12/25)
Step-by-step explanat bion :
