If A and B are independent events, then it must be true that P(A|B)=P(A)?

Hey there! :)

Answer:

x = -4.

Step-by-step explanation:

We can write an algebraic equation to express this situation.

Let 'x' represent a number:

4(2x + 6) = -8.

Begin by dividing both sides by 4:

2x + 6 = -2

Subtract 6 from both sides:

2x + 6 - 6 = -2 - 6

2x = -8

Divide 2 from both sides:

2x/2 = -8/2

x = -4.

Answer : -4

Step-by-step explanation:

Let the no. be x

4(2x+6) = -8

8x+24 = -8

8x = -8 - 24

8x = -32

x= -32 / 8

x= -4

Answer:

C = 600 + 50s

Step-by-step explanation:

Let s be the number of students that go on the trip.

Let C be the cost.

The bus costs $600 and the entry fee (for each student) costs $50.

The cost for the trip will be the sum of the cost of the bus and the ticket for every student that goes on the trip.

This implies that the total cost for the trip will be:

C = 600 + 50(s)

C = 600 + 50s

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

Answer:

[tex]\boxed{ x = 12}[/tex]

Step-by-step explanation:

Given Equation is:

[tex]\frac{-3}{2} (x) - 9 = -27[/tex]

Adding 9 to both sides

=> [tex]\frac{-3x}{2} = -27+9[/tex]

=> [tex]\frac{-3x}{2} = -18[/tex]

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Answer:

13

Step-by-step explanation:

The number of sheets of paper that were cut is 2 sheets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of sheets of paper = 7 sheets

The number of pieces they were cut = 3 pieces

The new total number of sheets of paper = 13 sheets

So ,

The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper

The difference in sheets of paper = 13 - 7

                                                        = 6 sheets

Now , each paper is cut into 3 extra sheets

So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut

The number of papers cut = 6 / 3

                                           = 2 sheets of paper

Hence , the number of sheets of paper that were cut is 2 sheets

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Answer:

61.1 m is the correct answer.

Step-by-step explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite = [tex]70^\circ[/tex]

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

[tex]\triangle BFK[/tex] in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

[tex]\angle B = 70^\circ[/tex]

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]

Hence, the answer is 61.1 m.

Responder:

4/y + 1/3

Explicación paso a paso:

Dado que:

3x - y = 12

3x = 12 + y

Divide ambos lados entre 3

x = 4 + y / 3 - - - (1)

Valor de 8x / 2y

8x / 2y = 4x / y

4x / a - - - (2)

Sustituye x = 4 + y / 3 en (2)

4 (4 + y / 3) ÷ y

(16 + 4g / 3) / y

16 / y + (4y / 3 ÷ y)

16 / y + (4y / 3 × 1 /y)

16 /y + 4/3

Dividiendo a través de 4

(16 /y) * 1/4 + (4/3) * (1/4)

(4 /y + 1/3)

Answer:

5/12

Step-by-step explanation:

Answer:

51.33

Step-by-step explanation:

to get that, we must subtract area of segment DQE (its look like a slice of pizza) by the triangle DQE

so first, we find the area of segment DQE

Area of DQE = (58/360) * Area of whole circle

A.DQE = 58/360 * πr²

A.DQE = (58 * 3.14 * 25²)/360 = 316.34

save it then we do the second step to find the area of triangle DQE. Triangle DQE is isosceles triangle with ∠DQE = 58,

area of triangle = ½ * base * height * sin ∅

∆DEQ = ½ * DQ * EQ * sin 58°

∆DEQ = ½ * 25 * 25 * 0.848

So Area of ∆DEQ = 265.02

then finally we can find the area of segment the problem said

A.DQE - ∆DEQ = 316.34 - 265.02= 51.32 (near 51.33)

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

[tex]2x^2-16x=-30[/tex]

Next, the rule is that the leading coefficient has to be a positive 1.  Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

[tex]2(x^2-8x)=-30[/tex]

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

[tex]2(x^2-8x+16)[/tex]

That's the left side.  Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

[tex]2(x^2-8x+16)=-30+32[/tex]

Completing the square allows us to create a perfect square binomial on the left which is in the form (x -   )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

[tex]2(x-4)^2=2[/tex]

Last step is to move the constant back over and set the quadratic back equal to y:

[tex]y=2(x-4)^2-2[/tex]

From here the vertex is apparent. It is (4, -2).

Answer:

Answer A

Step-by-step explanation:

Firstly, you can eliminate the last two choices because they don't go through the point (-5, -6). For slope, use your [tex]\frac{rise}{run}[/tex]. Go up 2 and go left 3, and you'll see that the 1st graph matches this pattern.

Answer:

see explanation

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of proportion

To find k use the condition when r = 5, A = 75 , then

75 = k × 5² = 25k ( divide both sides by 25 )

3 = k

A = 3r² ← equation of proportion

(a)

when r = 4, then

A = 3 × 4² = 3 × 16 = 48

(b)

when A = 147 , then

147 = 3r² ( divide both sides by 3 )

49 = r² ( take the square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

Answer:

24-8d

Step-by-step explanation:

4✖️6=24

4✖️(-2d)=-8d

=24-8d

Hope this helps, BRAINLIEST would help me:)

Answer:

-8d + 24.

Step-by-step explanation:

4(6 - 2d)

= 4 * 6 - 4 * 2d

= 24 - 8d

= -8d + 24

Hope this helps!

Answer:

125 min

Step-by-step explanation:

given :

4 words -----> takes 1 min

1 word --------> takes 1/4 min

500 words ------> takes (1/4) x 500 = 125 min

Answer:

It will take 125 minutes

Step-by-step explanation:

Because 500/4 = 125

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Answer:

i) Area of the ring = 462cm²

ii) Perimeter of the ring = 132cm

A complete question related to this found at brainly (ID: 19152996) is stated below:

Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring

Find attached the diagram.

Step-by-step explanation:

a= smaller radius = 7cm

b= bigger radius = 14cm

i) Area of the ring = Area of larger circle - Area of smaller circle

Area of circle = Area of a ring = πr²

π =22/7

Area of larger circle = (22/7)(14)² = 22×28

Area of larger circle = 616cm²

Area of smaller circle = (22/7)(7)² = 22×7

Area of smaller circle = 154cm²

Area of the ring = 616 - 154 = 462cm²

ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle

Perimeter of circle = 2πr

When r = 7cm and π = 22/7

Perimeter of smaller circle = 2×(22/7)×7 = 2×22

Perimeter of smaller circle = 44cm

When r = 14cm and π = 22/7

Perimeter of larger circle = 2×(22/7)×14 = 4×22

Perimeter of larger circle = 88cm

Perimeter of ring = 88+44 = 132cm

Answer:

B

Step-by-step explanation:

YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

[tex]\pi r^2\\= \pi ( 5 )^2\\= 25\pi[/tex] - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, [tex]l= \sqrt{r^2+h^2}[/tex] -

[tex]\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi[/tex]- Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

[tex]25\pi + 25\sqrt{2} \pi[/tex] - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

[tex]1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi[/tex]- Volume = 41 and 2 / 3π

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

so

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

Answer:

I =2.4 A

Step-by-step explanation:

Ohms law

I = V/R

50 V and 200 mA

The resistance is

200 * 10 ^-3 = 50/ R

R = 50 / 200 ^10^-3

R = 250

The resistance is directly proportional to the length of the wire

R = k * l  where k is the constant and l is the length

250  =   k * l

k = 250 / l

Now we cut the wire in 1/2 so the length is 1/2 l

R = 250/l * 1/2 l

R = 125

Back to Ohms law

I = V/R

I = 300  / 125

I =2.4 A

Answer:

2400 milliamps

Step-by-step explanation:

I = v/r and I is directly porpotional to V and Inversely porporitonal to R. it also says that I is 200 and v is 50 so right now the equation would be 200 = 50/R. So right now that would be 1/4 because 200 * 1/4 = 50. Now we Have 200 = 50/ 1/4. So if we cut the wire in half which means that R will now be 1/8, and V will be 300. The equation now looks like this, I = 300/ 1/8. 300 / 1/8 is really just 300*8/1 which is 2400.

2400 = 300/ 1/8

Answer:

110.94

Step-by-step explanation:

All you have to do is change 43% to .43 then multiply by 258

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Answer:

1.17

Step-by-step explanation:

1 £ = 1.25 dollars

1 Euro = 1.07 dollars

=> 1 £ = (1.25/1.07) Euros = 1.17 Euros