Let A and B be two independent events. If p(A)=3/5 and p(B')=1/3 then the value of p(AUB)' is equal to?

Answer:

A and D

Step-by-step explanation:

Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.

Answer:

Length = 6cm

Step-by-step explanation:

You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters

Hope it helps :D

6 cm po tama to mag quandary pi akyu

i hope you guys didn't have to suffer thru the rest like I did c,:

here is THE REST OF THE ANSWERS!

Step-by-step explanation:

THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....

8. angle LNO is congruent to angle NLM because of CPCTC

9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem

10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem

11. LMNO is a parallelogram because of the def. of a parallelogram

I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!

We will use the converse of alternate interior angles theorem  to prove LMNO is a Parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.  

The proof is as follows:

Statements                                                   Reasons

1) LO ≅ MN                                                        Given

2) ON ≅ LM                                                       Given

3) LN ≅ LN                                                     Reflexive property

4) Δ LON ≅ Δ NML                                       SSS congruency rule

5) ∠ NLO ≅ ∠ LNM                                         CPCTC

and ∠ MLN ≅ ∠ LNO              

6) LM ║ ON and LO ║ MN   converse of alternate interior angles theorem

7) LMNO is a Parallelogram                  Property of Parallelogram  

For more references on Parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

Answer:

A = 112cm²

Step-by-step explanation:

Area of a triangle = (bh) / 2

b = base length and h  = height

The triangle shown has a given base length of 14cm and a given height of 16cm

Hence area = ( 16 * 14 ) / 2

16 * 14 = 224

224 / 2 = 112

A = 112cm²

Answer:

B

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.

Jasmine:

[tex]\frac{42.5}{5} =\\\\[/tex]

[tex]8.5[/tex] minutes per mile

Caroline:

[tex]\frac{26.4}{3} =\\[/tex]

[tex]8.8[/tex] minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

[tex]8.8-8.5=0.3[/tex]

B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.

I hope this helps! Let me know if you hae any questions :)

Answer:

338 feet

Step-by-step explanation:

350 - 12 = 338

Step-by-step explanation:

since both cords are equal, so are arc length

4x + 18 = 7x - 51

3x - 21 = 0

x = 7

arc RS = 4(7) + 18

Answer:

150 cm

Step-by-step explanation:

The information in the question includes;

The length of rope P = 3 × The length of rope Q

The length of rope P - 10 cm  = 4 × (The length of rope Q - 10 cm)

Let p represent the original length of rope P and let q represent the original length of rope Q, we have;

p = 3·q...(1)

p - 10 = 4·(q - 10)...(2)

Expanding equation (2) gives;

p - 10 = 4·q - 40

∴ p = 4·q - 40 + 10 = 4·q - 50

p = 4·q - 50...(3)

Equating the values of p in equation (1) and equation (3) gives;

p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;

3·q = 4·q - 50

50 = 4·q - 3·q = q

q = 50

p = 3·q

∴ p = 3 × 50 = 150

The original length of P before it was cut, p = 150 cm.

Answer:

multiply the bottom equation by 6

Answer:

The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],

[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].

Now the given points are

[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]

AC=(8-8,10-9), the direction is

[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]

AC=(11-8,13-9), the direction is

[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]

Step 3:

The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is

[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]

The directional derivative of f at A in the direction of  [tex]\vec{u}_{AD}[/tex] is  7.

Answer:

an = 4n + 3

Step-by-step explanation:

Answer:

The axis of symmetry is (0,0)

Step-by-step explanation:

This is the picture

D

its just a basic logarithmic law.

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

Step-by-step explanation:

1.5 is the answer I just tried it and got it correct

Answer:

1.5 I just got the correct answer on edge

Answer:

15 cm

Step-by-step explanation:

[tex]\frac{12}{24}[/tex] = [tex]\frac{x}{30}[/tex]

cross multiply and solve for x

or just notice that the fraction reduces to 1/2 and 15 is half of 30

the answer is in the picture

Answer:

[tex]x=68[/tex]

Step-by-step explanation:

In the figure, we shown all four exterior angles of the polygon. The sum of the exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

Therefore, we have:

[tex]79+(x+10)+(x-1)+(2x)=360,\\79+x+10+x-1+2x=360,\\88+4x=360,\\4x=272,\\x=\boxed{68}[/tex]

Answer:

20×10=200mm

70:200

70/10=7

200/10=20

7:20 is your answer in it's simplest form

Answer:

13 exercises

Step-by-step explanation:

The number of exercises in the exam = 20

The points received for questions solved correctly = 8 points

The points taken off for exercises solved wrong = 5 points

The number of points Ben has = 13 points

Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;

0 < c + w ≤ 20...(1)

8·c - 5·w = 13...(2)

Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5

The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16

Therefore, when c = 6, and w = 7, we get;

8 × 6 - 5 × 7 = 13

The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20

When c = 11, we get;

8 × 11 - 5 × 15 = 13

11 + 15 = 26 > 20

The number of exercises Ben solved = 13 exercises

Answer:

It is A because it is pretty similar to the data set in the given dot plot.

Answer:

A. 70°

Step-by-step explanation:

There are two ways to solve this problem:

(1) The sum of all the angles of a quadrilateral equals 360°.

The equation for this problem would be:

110° + 110° + 70° + m∠A = 360°

Simplify:

290° + m∠A = 360°

m∠A = 70°

(2) Trapezoid ABCD is an isosceles trapezoid, because m∠B and m∠C, opposite angles of the same base of the trapezoid, are congruent.

Therefore m∠A and m∠D must also be congruent.

m∠A = m∠D = 70°

68Answer:

10

Step-by-step explanation:

68/2=34

24+10=34

Answer:

150 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 9

W = 4

H = 3

Formula

SA = 2*L*w + 2*L*H + 2 * H * W

Solution

SA = 2 * 9*4 + 2*9*3 + 2*3 * 4

SA = 72 + 54 + 24

SA = 150 in^2

Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2