Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?

Answer:

Los triangulos son iguales porque tienen dos lados y el angulo comprendido  respectivamente iguales, por tanto

[tex]3x = x+8\\2x=8\\x=4\\[/tex]

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

Answer:

The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.

However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.

Step-by-step explanation:

Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.

The percentage increase = (y/x) × 100

= z%

That is,

Percentage increase = [(New volume) ÷ (Old volume)] × 100

The resulting value, z% is the percentage increase.

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The two points are:

M(-8,11) and N(3,7)

From the distance formula, we can find the distance between these two points:

Applying the distance formula:

[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]

d = √137

d = 11.7 units

Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

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Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

The value of the variable y at x = -8, will be negative 49.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The numbers x and y are inversely proportional. Then we have

y ∝ 1/x

y = k/x    ...1

When the sum of x and y is 42. Then the equation will be

x + y = 42   ...2

x is twice y. Then the equation will be

x = 2y   ...3

From equations 2 and 3, we have

2y + y = 42

3y = 42

y = 14

Then the value of x will be

x = 2(14)

x = 28

Then the value of k will be

14 = k / 28

k = 392

Then the equation will be

y = 392 / x

Then the value of the variable y at x = -8, will be

y = 392 / (-8)

y = -49

Thus, the value of the variable y at x = -8, will be negative 49.

More about the ratio and the proportion link is given below.

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Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

Answer:

constant because it isn't going up or down, just moving straight

Step-by-step explanation:

Answer:

constant

Step-by-step explanation:

Since this is a horizontal line the slope is zero

This means the graph is constant

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Answer:

So it will take the stone 1 (one) second to reach its maximum height.

Step-by-step explanation:

Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:

[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]

where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.

Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.

So it will take the stone 1 (one) second to reach its maximum height.

Answer:

44 cm

Please see the attached picture for full solution

Hope it helps....

Good luck on your assignment

Answer:

3

Step-by-step explanation:3x2=6

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

Answer:

21

Step-by-step explanation:

f(x)= 2x^2-11

Let x= 4

f(4)= 2*4^2-11

    = 2 * 16 - 11

     = 32 -11

      21

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

Answer:

x = 20°

Step-by-step explanation:

4x + 10 = 90

4x = 80

x = 20

Answer:

[tex] \boxed{x\degree = 20\degree} [/tex]

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

Answer:

the answer for this question is increase 24.89%

Step-by-step explanation:

100%= 233 million

? = 291 million

100%/(233×10^6) : x/(291×10^6)

x=[100%×(291×10^6)]/(233×10^6)

x=124.8927039

x=124.89

124.89%-100%=24.89%

Hey there! :)

Answer:

(2, 3) and (-2, 11).

Step-by-step explanation:

To solve this system of equations, we can set both equations equal to each other:

x² -2x + 3 = -2x + 7

Combine like terms:

x² -4 = 0

Factor using difference of squares:

(x - 2)(x + 2) = 0

Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:

f(x) = -2(2) + 7

f(x) = -4 + 7

f(x) = 3

------------------

f(x) = -2(-2) + 7

f(x) = 4 + 7

f(x) = 11

Therefore, the two ordered pairs are (2, 3) and (-2, 11).

Answer: 88 cm

Step-by-step explanation:

The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,

616=πr²

196=r²

r=14

Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.

C=2π(14)

C=28π

C=88 cm

Answer: 87.96 cm

Step-by-step explanation:

Radius = √a/π

=√616 / π = 14 cm

Circumference = 2πr

= 2 x π x 14

= 87.96 cm

Answer:x=4 y =1

Step-by-step explanation:

your welcome

Answer:

x = 4, y = 1

Step-by-step explanation:

Substitute the y in the first equation for x-3

X + 2(x-3) = 6

3x -6 = 6

3x = 12

x = 4

Plugging 4 into the second equation

y = 4-3

y = 1

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]

The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

Given that,

㏒₅(10x - 1) = ㏒₅(9x + 7)

Let the value of both be n.

So, ㏒₅(10x - 1) = n and  ㏒₅(9x + 7) = n

By the definition of logarithms,

10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ

So,

10x - 1 = 9x + 7

10x - 9x = 7 + 1

x = 8

Hence the value of x is 8.

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Answer:

I would love to  help but i dont know pounds so i will try to help in dollars then convert into pounds

lol :) just wait

Step-by-step explanation:

Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]

Answer:

  1/2 = 2^-1 = 1/2

Step-by-step explanation:

The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...

  [tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]

__

Additional comment

It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.

The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.