Given:
[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].
To find:
The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.
Solution:
We know that,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get
[tex]P(A\cup B)=0.44+0.6-0.394[/tex]
[tex]P(A\cup B)=0.646[/tex]
Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.
16.BONUS:
A lamp produced a shadow of a man standing in the middle of a stage.
21° 19°
25 meters
How long is the shadow?
;
Answer: 11.38
Step-by-step explanation:
I just did this math nation question and that’s what they said the answer was
The solution is, Length of the shadow = 11.4 m.
What are trigonometric relations?Trigonometry can be stated as the study of the relationships between the angles and the lengths of the sides of triangles.
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
Given the graph:
The length of the shadow = y - x.
• To find x:
tan 21 = x/25
so, we get,
x = 25 * tan 21
=9.6m
• To find y:
tan 40 = y/25
so, we get,
y = 25* tan40
= 21m
Length of the shadow:
length = 21 - 9.6 m
= 11.4m
so, we get,
Length of the shadow = 11.4 m
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ7
The three townships of Springfield, Wyandot, and
Johnsonville form an equilateral triangle as shown
below. Write and solve an equation to determine the
value of x.
Wyandot
(62) mi
18.6 mi
Johnsonville
Springfield
X=
Answer:
x=23 miles
Step-by-step explanation:
heart if it helped
Answer:
X=23jkhhhhjhggguhhgyfv
Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?
Answer:
yes
Step-by-step explanation:
8² + 15² = 17²
64 + 225 = 289
289 = 289
Please help with this due today
Answer:
B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
3x + 40 + 2x = 180 (int angles of a triangle)
5x = 140
x=28
Hey guys!
Please help me out with these questions. Tmrw I have an exam... Will mark BRAINILIEST for the answer explaining proper steps. If I sound rude, please forgive me, I'm just stressed out.....
Thanks
Answer:
Step-by-step explanation:
really confused on what to do, please help!
Answer:
6/1 · 11/4 = 66/4 = 16 1/2
-10/3 · (-17/5) = 170/15 = 11 1/3
-9/2 · 26/3 = -234/6 = -39
11/6 · (-9/1) = -99/6 = -16 1/2
QUADRATIC EQUATIONS HELP(no link or im reporting)
Answer:
D
Step-by-step explanation:
Given
x² - 8x +
To complete the square
add ( half the coefficient of the x- term )² to x² - 8x
x² + 2(- 4)x + (- 4)²
= x² - 8x + 16 → D
= (x - 4)² ← perfect square
please help :,))))))))
Answer:
answer is B quack quack.
A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.
P(3) =
P(a number that starts with the letter T) =
P(odd number) =
P(multiple of 4) =
P(3 or 5) =
P(13) =
Answer:
3= 1/12
a number with the letter T= 1/3
odd number= 1/2
multiple of 4= 1/6
3 or 5= 1/6
13= 0
Answer:
p(3)=1/3
p(a number that starts with the letter T)=1/3
p(odd number)=1/2
p(multiple of 4)=1/4
p(3 or 5)=1/6
p(13)=0
PLEASE HELP HELP HELP HELP
Answer: 12
Step-by-step explanation:
A polynomial is an expression that contains more than one number, letter, etc. so 12 is a monomial, because it only has one number. Hope this helps!!
Solve for for n. 10(n+4) = 63
Answer:
n=23/10
Step-by-step explanation:
10(n+4)=63
n+4=63/10
n=63/10-4
n=23/10
decimal form: 2.3
Maria and Juan are married, filing jointly. Their taxable income is $154,849. Use the table below to write an equation to determine their tax. Then calculate their tax.
Answer:
The right answer is "$31,399.75".
Step-by-step explanation:
The given value is:
Taxable income,
= $154,849
According to the question,
The tax amount will be:
= [tex]8,962.50 + (154,849 - 65,100)\times 25 \ percent[/tex]
= [tex]8,962.50+(89,749)\times 25 \ percent[/tex]
= [tex]8,962.50+22,437.25[/tex]
= [tex]31,399.75[/tex] ($)
The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?
Answer:
Graph D is correct
Step-by-step explanation:
This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.
\large f\left(x\right)=2\left(x+5\right)^2-7
Which word could you use to describe the author's purpose in an argument?
Convince
Describe
Entertain
Inform
Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.
HELPPP
Answer:
Step-by-step explanation:
Lin’s method
- multiply both x and 2 by 7
7x+14 = 91
- add -14 at both members
7x+14-14 = 91-14
7x = 77
- divide the two members by 7
x = 11
Noah’s method
- divide the two members by 7
x+2 = 13
- add -2 at both members
x+2-2 = 13-2
x = 11
Answer:
The solution is x=11
Step-by-step explanation:
The original equation is
7(x+2)=91
Lin uses the distributive property, which states that
a (x+y) = ax + ay
By applying the property to this case,
7(x+2)=91
7x+14=91
Then we subtract 14 on both sides:
7x+14 - 14 = 91-14
7x=77
Finally, we divide by 7 on both sides:
7x÷7 = 77÷7
x=11
Noah starts by dividing each side by 7, so he gets:
7(x+2)÷7 = 91÷7
x+2= 13
Then he can subtract +2 from both sides:
x+2-2 =13 - 2
x=11
So, they get the same result. The similarity between the two methods is that they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.
someone please help with this math question! ill give brainly if its correct
Answer:
x = 50, y = 61
Step-by-step explanation:
y + 8 + 2x + 11 = 180°
y + 2x = 161°
the total of the interior angles of the 5 sided polygon is:
(180 x 5) - 360 = 540°
540 = 98 + 98 + 125 + 108 + 2x + 11
2x = 100
x = 50°
y + 2(50) = 161
y = 61°
How do u make 987 mm to *what* cm?
Answer:
The answer is 98.7
Step-by-step explanation:
Easy! from the millimeter value divide it by 10 for example I have 142mm then the amount of centimeters I have is 14.2
Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️
Answer:
The answer is the second one!
Have a wonderful day/night! <3
Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99
I am not allowed to use a calculator, by the way.
Step-by-step explanation:
(38+45)+9*2+3-59+((4/2)*3+8*5)=
83+18+3-59+(6+40)=
83+18+3-59+(6+40)=
83+18+3-59+46=
(83+18+3+46)-59=
150-59=91
I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.
x^2+2x=4 Can someone help me complete the square I forgot how to do it. pls show steps
Answer:
First of all , you need to make the standard form of equation out of datas . In order to do that transfer (4) to the left side of equation and put 0 instead of it .
The next levels are shown in the above pics , sorry i coulden't write them here .
Step-by-step explanation:
Hope it was helpful dear .
I need the answer please
Answer:
Parallel
Step-by-step explanation:
Because it is
Which expression is equivalent to -4(2k - 6) - 4k
Answer:
Factor and Simplfy
12k+24
Answer:
-12k+24
Step-by-step explanation:
-4(2k-6)-4k
do distributive property
-8k+24-4k
simplify
-12k+24
I think this is what the question is asking
Help me with 8,9,10 please I really need help with this!!! Just real answers please
Answer:
The measure of side CD is 18cm
The measure of side BD is 15+15= 30cm
The perimeter of triangle CDE is 15+15+18 = 48cm
The value of y varies directly with x. If x=4, then y=10. a. Find the constant of proportionality. b. Write an equation to represent the situation.
Answer:
aaaa
Step-by-step explanation:
In a short paragraph, describe how you would determine the amount of work needed to pull a toboggan the length of a football field. Be sure to include the equipment list and describe the measurements that you will take.
Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.
Answer:
2,5
Step-by-step explanation:
2 to the right and 5 up
The ratio of boys to girls in a class is 3 to 5. There are 35 boys in the class. what is the total number of students
14. Which numbers below are rational numbers?
2
-3.45
0.8989
All of the above
Answer:
All of them.
Step-by-step explanation:
They can all be written as a fraction a/b.
what is ur favorite anime mine is attack on titan
hello there good people here is 50 points for free have a good day
Answer:
I can't decide
Step-by-step explanation:
Answer:
Mine is one piece and kumo desu nani ga i love it lol
Step-by-step explanation:
A group of friends went to a sporting event. It cost $32 for each of them what was the total cost for all of them to get in
need some help rq....
Answer:
work will be explained in the explanation portion
1. x = 3
2. y = 5
3. x = 13
4. y = 2
5. c = 7
6. a = 34
7. unsure but -5/12
8. 16
Step-by-step explanation:
1. 11 - 8 = 3
2. 16 + 9 = 25 5 x 5 = 25
3. 9 + 4 = 13
4. 10 - 4 = 6 3 x 2 = 6
5. 45 - 3 = 42 6 x 7 = 42
6. 23 + 11 = 34
7. 2/3 = 8/12 1/4 = 3/12 8/12 - 3/12 = 5/12
8. 14 divided by 7/8 = 16 (use keep change flip)
HOPE THIS HELPS!! <33
Answer:
1.x=3
2.y=5
3.x=13
4.y=2
5.c=7
6.a=34
7.y=-5/12
8.w=16
Step-by-step explanation:
x+8=11
x=11-8
x=3
5y-9=16
5y=16+9
5y=25
y=25/5
y=5
x-4=9
x=9+4
x=13
3y+4=10
3y=10-4
3y=6
y=6/3
y=2
6c+3=45
6c=45-3
6c=42
c=42/6
c=7
11-a=-23
-a=-23-11
-a=-34
a=34
2/3+y=1/4
y=1/4-2/3
y=-5/12
7/8w=14
7w/8=14
7w=14×8
7w=112
w=112/7
w=16