LCM of x²+5x+6 and x²-x-6 is ………………………





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Answer:

Yes, because the P(A)P(B) = P(A and B)

Step-by-step explanation:

Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;

P(A and) = P(A)P(B)

Given: P(A) = watching a movie = 62% = 0.62

P(B) = going out to dinner = 46% = 0.46

The probability of watching a movie and going out to dinner will be

P(A and B)

P(A and B) = 0.62×0.46

P(A and B) = 0.2852

P(A and B) = 28.52%

Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

Answer:

A.) median; 1.5

Step-by-step explanation:

Hello!

The median is the number that is in the middle when the numbers are listed from least to greatest

0, 0, 1, 1, 2, 2, 2, 14

We can take one from both sides till there are one or two numbers left

0, 1, 1, 2, 2, 2

1, 1, 2, 2

1, 2

If there are two numbers left we add them then divide by 2 to get the median

1 + 2 = 3

3 / 2 = 1.5

The answer is A.) median; 1.5

Hope this helps!

Answer:

7/10

Step-by-step explanation:

Get a common denominator

1 - 3/10

10/10 - 3/10

7/10

Answer:

Standard deviation

Step-by-step explanation:

The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.

Answer:

m= 0 /(−3np+v2 )

Step-by-step explanation:

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

Answer:

>

Step-by-step explanation:

Even though its 0 its still greater than any negative number.

Answer:

Step-by-step explanation:

Answer:

  1 1/8

Step-by-step explanation:

1/4 of the 4 1/2 gallons were Pepsi, so the amount is ...

  (1/4)(9/2) = (1·9)/(4·2) = 9/8 = 1 1/8

Yoxelt bought 1 1/8 gallons of Pepsi.

Answer:

Step-by-step explanation:

To solve this divide the amount of sugar by the number of dollars:

Per 10dollar she brought=19pounds

Per dollar

[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]

[tex]\\ \sf\longmapsto 1.9pounds[/tex]

Answer:

A cube has 4 sides

1000÷4

=250

Answer:

She needs to jog 7 laps to make sure she covers at least 7.5 miles

Step-by-step explanation:

Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.

Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles

Then, to find how many laps she needs to complete we do the quotient:

7.5/1.2 = 6.25

which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

Answer:

Es 2.6

Step-by-step explanation:

Answer: translate

Step-by-step explanation:

Answer:

0 and yes

Step-by-step explanation:

Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.

If a is divisible by 6 it is also divisible by 3 which when added to 12 which is also divisible by 3 will result in a number divisible by three which means remainder will be 0

if n is divisible by 3, m is divisible by 2 then n.m + 12 will always be divisible by 2 because any number multipled by a number mutiple of 2 will be always divisible by 2 and when 12 added to it will also be divisible by 2.

Must click thanks and mark brainliest

Answer:

5/2

Step-by-step explanation:

tan&= 2/5(p/b)

here,

p=2,b=5

cot&=b/p

=5/2

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

Answer:

B

Step-by-step explanation:

The inscribed angle Q is half the measure of its intercepted arc , so

arc RS = 2 × 75° = 150°

The sum of the 3 arcs = 360° , then

arc QR = 360° - (150 + 133)° = 360° - 283° = 77° → B

Answer:

Step-by-step explanation:

Graph shows the distance traveled by a biker as a function of time.

Velocity of the biker changes in the different intervals.

1). In the interval 0 < t < 2, biker is moving with a constant velocity.

   Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

             = [tex]\frac{0-4}{0-2}[/tex]

             = 2 km per hour

2). In the interval 2 < t < 5,

   Velocity = [tex]\frac{4-4}{4-2}[/tex]

                  = 0

   Therefore, biker stopped between 2 to 5 hours.

3). In the interval 5 < t < 6,

   Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]

                  = [tex]\frac{4-3}{6-5}[/tex]

                  = 1 km per hour

4). In the interval 6 < t < 7,

   Velocity = [tex]\frac{6-3}{7-6}[/tex]

                 = 3 km per hour

Answer:

Y= -x-8

Step-by-step explanation:

Hope this helps

Answer:

y + 3 = - (x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b ) = (- 5, - 3 ) , then

y - (- 3) = - 1 (x - (- 5) ) , that is

y + 3 = - (x + 5)

Answer:

1950

Step-by-step explanation:

because 1950 column has the most highest number which is 11

Answer:

Between 1945 and 1950 ( from 5 to 11 ),

Step-by-step explanation:

Answer:

[tex]\huge\boxed{p = 3}[/tex]

Step-by-step explanation:

7p + 7 = 37 - 3p (They both are equal)

7p + 3p = 37-7

10p = 30

Dividing both sides by 10

p = 3

Answer:

p=3

Step-by-step explanation:

7p+7=37-3p

7p[+3p]+7=37-3p[+3p]

10p+7=37

10p+7[-7]=37[-7]

10p=30

10p/10=30/10

p=3

I hope this helps!

Answer:

Domain is all real numbers, x ≠ -5

Range is all real numbers, y ≠ 0

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

To know more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

A. (3,-4)

Step-by-step explanation:

Hi there!

When we reflect a point (x,y) across the y-axis, it will become the point (-x,y).

Right now we can see that point G has the coordinates (-3,-4). Therefore after reflecting about the y-axis, it would become (3,-4).

I hope this helps!

Answer:

0.0425

Step-by-step explanation:

probability of  basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425

Answer:

Yes, no verticle line passes through two graphed points

Step-by-step explanation:

A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5