If A and B are two independent events with P(A)=2÷3 and P(B) =1÷5, find P(AUB).​

Answer:

A 0.10

Step-by-step explanation:

We are given the following equation:

[tex]25m = 2.5[/tex]

Passing 25 to the right side of the equality, doing the inverse operation(division).

[tex]m = \frac{2.5}{25} = 0.1[/tex]

Thus, the correct answer is given by option A.

Answer:

20.51ft

Step-by-step explanation:

Given data

Length= 15ft

Width= 14ft

Height= 8ft

Because we want to find the diagonal, let us use the Length and the width

We can get the diagonal by applying the Pythagoras theorem

z^2= x^2+y^2

z^2= 15^2+ 14^2

z^2= 225+ 196

z^2= 421

square both sides

z= √421

z=20.51 ft

Hence the diagonal is 20.51ft

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3

Answer:

100

Step-by-step explanation:

482 ÷ 5 = 96.4

96.4 -> 100

Hope this helps! Brainliest?

Answer:

Quotient: 96

Step-by-step explanation:

482/5= 96R2

Quotient: 96

Remainder: 2

Answer:

p would be up top on the negative side (left)

q would be at the bottom on the positive side (right)

Answer:

70 has the most groups

Step-by-step explanation:

from the graph

Answer:

Step-by-step explanation:

The dark blue graph illustrates these two requirements.  The rates represented there have the highest median.  

Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.

Answer:

[tex]f(20) =3.25[/tex]

Step-by-step explanation:

Given

[tex]f(m) = 1.25 + 0.10m[/tex]

Required

[tex]f(20)[/tex]

We have: [tex]f(m) = 1.25 + 0.10m[/tex]

Substutute 20 for m

[tex]f(20) =1.25 + 0.10*20[/tex]

[tex]f(20) =1.25 + 2[/tex]

[tex]f(20) =3.25[/tex]

Answer:

D. No; the graph fails the vertical line test.

Step-by-step explanation:

If any vertical line intersects a graph more than once it is NOT a function

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Answer:

Step-by-step explanation:

The equation y = 8x means the value given for x is multiplied by 8.

1. 8 × 4 = 32 . . . scales in 4 days

2. 8 × 10 = 80 . . . scales in 10 days

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = [tex]\sqrt{75}[/tex]

x = 5 [tex]\sqrt{3}[/tex]

Answer:

the first one and the second

Step-by-step explanation:

.

Answer:

y=3x-2

Step-by-step explanation:

Phương trình có dạng: ax+b=y

Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:

-2a+b=-8 và –a+b=-5

Giải hệ phương trình ta được a=3, b=-2

Step-by-step explanation:

{2,3,5,7,9,11,13,15,17,19}

Answer:

72

Step-by-step explanation:

12 * 6 = 72

of course, IRL not every problem takes the same amount of time

Answer: if they are all algebra questions then 72

Step-by-step explanation:

12 + 12 + 12 + 12 + 12 + 12= 70

Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

Answer:

this is the correct answer

Answer:

(x)^2+ (y+2)^2 = 49

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-0)^2+ (y--2)^2 = 7^2

(x)^2+ (y+2)^2 = 49

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

Answer:

Step-by-step explanation:

81x² - 6x

Answer:

81x² - 6x

Step-by-step explanation:

81x² - 6x

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Answer:

  x ≈ 2.87

Step-by-step explanation:

We  can subtract 6 to put the equation into a form easily solved.

  x^2 +2x +1 = 15

  (x +1)^2 = 15

  x +1 = √15 . . . . . for the greatest solution, we only need the positive root

  x = √15 -1 ≈ 2.87

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

Answer:

x= -0.5

y= 23

Step-by-step explanation:

3=y-20 so y= 23

xy=3xy+25

23x=69x+25

-46x= 25

x=-0.5

Answer:

29

Step-by-step explanation:

tan c = opposite / adjacent

c = tan -1 (25/45) = 29

Answer:

Step-by-step explanation:

tan C = opp/adj

sin C = 25/45

sin C = 0.5556

C = sin^-1 0.5556

= 33.75

Answer:

12.7 cm

Step-by-step explanation:

We can obtain CB using Pythagoras :

CB = √12² - 6²

CB = √108

CB = 10.39

Using CB,

We can apply trigonometry on triangle BCD to obtain the length of CD

Sin θ = opposite / hypotenus

Sin 55 = CB / CD

Sin 55 = 10.39 / CD

CD = 10.39 / sin 55

CD = 12.68

CD = 12.7 cm