Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =


1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)

Answer:

y = 5[tex]\sqrt{6}[/tex]

Step-by-step explanation:

JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a[tex]\sqrt{3}[/tex]-a

since the side length that sees 90 degrees is 10 then x = 5

according to Euclidian theorem :

y^2 = LK*KI (LK = 15 -x, KI = 15)

y^2 = 10*15

y^2 = 150 find the root for both sides

y = 5[tex]\sqrt{6}[/tex]

Answer:

y x

-1 0

1 1

3 2

5 3

This is a table that follows the above function

Refer the attached image for the answer

HOPE SO IT HELPS YOU

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

The two mold populations are equal after 4.5 years and the number of days is 9.2

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the point of intersection to be

(x, y) = (4.5, 3)

The means that the two mold populations are equal after 4.5 years

Given that

A(d) = 100e⁰.²⁵ᵇ

We have

100e⁰.²⁵ᵇ = 1000

Divide by 100

e⁰.²⁵ᵇ = 10

So, we have

0.25d = ln(10)

Evaluate

0.25d = 2.3

Divide

d = 9.2

Hence, the number of days is 9.2

Read more about exponential functions at

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Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

Answer:

455

Step-by-step explanation:

(1/2(10)(70))13

Mary needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

"Volume = base area × length,

where, Base area = area of triangle

Length = length(or height) of the triangular prism"

For given question,

Mary wants to get spray foam insulation in her attic space.

To find the amount of spray foam she needs to buy, we need to find the volume of the given triangular prism.

First we find the base area of the given triangular prism.

For a triangular base,

base = 7 m and height =  10 m

Using the formula of the area of the triangle,

[tex]A=\frac{1}{2}\times 7\times 10\\\\ A=7\times 5\\\\A=35~sq.m.[/tex]

Now, we find the volume of the triangular prism.

[tex]V=A\times l\\\\V=35\times 13\\\\V=455~m^3[/tex]

Therefore, she needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

Learn more about the volume of triangular prism here:

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Answer:

540

Step-by-step explanation:

546-56=490

490+17+30=537

537+3=540

Step-by-step explanation:

the Anwer is 2-6b(3/4b) / 3b

Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b

= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b

= [tex]\frac{8-33}{12}[/tex] b

= -[tex]\frac{25}{12}[/tex] b

= -2[tex]\frac{1}{12}[/tex] b

Answer:

Equation of the line is 3y = -5x + 8

Step-by-step explanation:

Slope:

[tex]{ \bf{m = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }}[/tex]

substitute:

[tex]{ \sf{m = \frac{1 - 6}{1 - ( - 2)} }} \\ { \sf{m = - \frac{5}{3} }}[/tex]

General equation of a line:

[tex]{ \boxed{ \pmb{y = mx + b}}}[/tex]

b is the y-intercept.

Consinder point (1, 1):

[tex]{ \sf{1 = ( - \frac{5}{3} \times 1) + b}} \\ { \sf{b = \frac{8}{3} }}[/tex]

Substitute:

[tex]{ \sf{y = - \frac{5}{3} x + \frac{8}{3} }} \\ \\ { \sf{3y = - 5x + 8}}[/tex]

Answer:

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Step-by-step explanation:

75% more revenue in theaters than it did via streaming video.

The sum of the revenues is 100%.

So the theaters were responsible for the following percentage:

[tex]P = 50 + \frac{75}{2} = 50 + 37.5 = 87.5[/tex]

How much money did Gray Widow make in theaters on opening weekend?

87.5% of the total revenue, that is, 0.875 out of $127,265,468.

0.875*127,265,468 = $111,357,284.5

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Answer:

5  [tex]\frac{3}{4}[/tex]    

Step-by-step explanation:

2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]

= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex]    Here we add the two whole numbers first

= 5 +  [tex]\frac{1}{2} + \frac{1}{4}[/tex]

= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex]      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + [tex]\frac{3}{4}[/tex]       Here we added 1/4 and 2/4

= 5  [tex]\frac{3}{4}[/tex]    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4

Answer:

Each of the 4 sectors have an area:

Find the area:

Outer perimeter of the frame:

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

Answer:

6 : 5

Step-by-step explanation:

Volume of a cube = s^3

5^3 = 125

Surface area of a cube = 6s^2

6(5^2) = 6(25) = 150

150 : 125

30 : 25

6 : 5

Answer:

BC=40.16479

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 17 = BC / 42

42 cos 17 = BC

BC=40.16479

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

Answer:

98 is the answer

Step-by-step explanation:

you add 8 each time

Answer:

a₁₃ = 98

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then

a₁₃ = 2 + (12 × 8) = 2 + 96 = 98

Answer:

True

Step-by-step explanation:

All of them match up

9514 1404 393

Answer:

  (c) 288π m²

Step-by-step explanation:

The area of a sphere is found using the formula ...

  A = 4πr²

Then the area of a half-sphere with radius 12 m will be ...

  A = (1/2)(4π)(12 m)² = 288π m²

Answer:

2l+2w

2 (11) +2 (10)

22+20

42

Answer: 80, 40

Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

Range = Highest - Lowest

Range = 23,950 - 6,950

Range = 17,000

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Answer:

The range is 17000.

Step-by-step explanation:

How you find range is by finding the difference between the maximum and minimum number from the data set.

So, the maximum number is 23950 and minimum is 6950 from the data set.

23950 - 6950 = 17000.

Answer:

(8)

(9)

(10)

(11)

(12)

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

Answer:

Hello,

Step-by-step explanation:

Loi d'Ohm: U=R*I

a) U=20*0.5=10 (amp)

b) I=U/R=50/0.5=100 (amp)

Answer:

-5

Step-by-step explanation:

Answer:

36.8

Step-by-step explanation:

Perimeter is the addition of each side.

8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8

^        ^

  12.7 + 7.1

  19.8 + 10.8

  30.6 + 3.4

   34 + 2.8

        36.8

Hope this helped.

Answer:

36.8 in

Step-by-step explanation:

Perimeter is the sum of length of all sides of the figure

Perimeter=8.2+10.8+4.5+7.1+2.8+3.4=36.8

let other one be (x,y)

We know midpoint formula

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{13+x}{2}=6[/tex]

[tex]\\ \sf\longmapsto 13+x=12[/tex]

[tex]\\ \sf\longmapsto x=12-13[/tex]

[tex]\\ \sf\longmapsto x=-1[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{-2+y}{2}=-4[/tex]

[tex]\\ \sf\longmapsto -2+y=-8[/tex]

[tex]\\ \sf\longmapsto y=-8+2[/tex]

[tex]\\ \sf\longmapsto y=-6[/tex]

Answer:

(- 1, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

Use this formula on the endpoints and equate to the coordinates of the midpoint.

let the other endpoint = (x, y) , then

[tex]\frac{13+x}{2}[/tex] = 6 ( multiply both sides by 2 )

13 + x = 12 ( subtract 13 from both sides )

x = - 1

[tex]\frac{-2+y}{2}[/tex] = - 4 ( multiply both sides by 2 )

- 2 + y = - 8 ( add 2 to both sides )

y = - 6

The coordinates of the other endpoint are (- 1, - 6 )