Events A and B are independent.

P(A) = 0.48
P(A and B) = 0.3024
What is the probability of event B?

Answer:

A. Scores 90 and 95

Step-by-step explanation:

A. works because the pattern makes sense as it is adding by 5.

B. doesn't work because after 85 becomers80 which doesn't make sense since there is 100 on the end so the pattern for the x-axis is adding up.

C. doesn't work because after 90, it becomes, 100 and after that, there is another 100 and the pattern makes no sense.

D. doesn't work because our pattern rule is adding and after the 90 becomes 75 so it is subtracting so it doesn't work.

So our final answer is A.

Answer:

90 and 95

Step-by-step explanation:

look at the dot plot on the very left. it shows two blanks. then in the diagram it shows results of 85, 90, 95, and 100. on the dot plot it has 85 and 100 plotted but is missing 90 and 95.

The total installment price is $1331.

Installment means adding the total principal of the loan and the total interest on the principal together and then dividing the sum by the number of installment payments.

For the given situation,

The purchase price of the refrigerator = $1200

Down payment = $65

Monthly installment = $121

Installment period = 11 months

Total installment price = \((121)(11)\)

⇒ \(\$1331\)

Hence we can conclude that the total installment price is $1331.

Learn more about installment and down payments here

https://brainly.com/question/14283152

#SPJ2

Answer: Rex weighs more.

Step-by-step explanation:

You have to change both of the numbers into the same form. I did decimal form.

Rex - 11 7/18 = 11.389 (rounded to the hundredths)

Roman - 11.329

Rex is bigger.

Hope this helps!

Answer:

19

Step-by-step explanation:

Umm just add I guess

Answer:

19

Step-by-step explanation:

because if you draw nine sticks then add 10 sticks and count them all at the end you will have 19 sticks

Answer:

she purchased 8 candy bars

Step-by-step explanation:

first I would do 20-8.32=11.68

then i do 11.68 divided by 1.46=8

Answer: 63 pounds

Step-by-step explanation:

Given

Royce's weight is 3 pounds more than twice ted's weight

The weight of ted is 30 pounds

So, the weight of Royce is \(2\times 30+3\) pounds i.e. \(63\) pounds

Suppose, if the weight of Ted is x then, the weight of Royce is \(2x+3\)

The coordinates of point B is (3, 5)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point A coordinates = (1, 1)

Point B is 2√5 units away from point A.

This means,

Point B has to lie somewhere on the unit grid such that the distance between A and B is 2√5.

Take Point B = (3, 5)

A = (1, 1)

We see that,

AB = √((3 - 1)² + (5 -1)²)

AB = √(2² + 4²)

AB = √(4 + 16)

AB = √20

AB = √(4 x 5)

AB = 2√5

This is true.

Thus,

The coordinates of point B is (3, 5)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

Answer:

(3,5) AND (5,3)

Step-by-step explanation:

Draw a compass line in a circle 2[root]5 from A(1,1) and then draw that compass line

Answer: 28

Step-by-step explanation:

3 to the power of 3 is 3x3= 9 x3 = 27

27 divided by 3 = 9

9-2 = 7 x 4 = 28

Answer:

q<−8

Step-by-step explanation:

I hope this help helps

Answer:

q<−8

Step-by-step explanation:

Answer:

720 cm²

Step-by-step explanation:

Given 2 similar cylinders with ratio of height = a : b , then

ratio of areas = a² : b²

Here ratio of heights = 1 : 2 , then

ratio of area = 1² : 2² = 1 : 4 , that is

Surface area of B is 4 times surface area of A

surface area of B = 4 × 180 = 720 cm²

Oliver named 59 numbers before he fell asleep.

To find the answer, we need to determine how many numbers are in the sequence 15, 21, 27, 33, ... up to 363.

We can start by finding the common difference between the terms in the sequence. Since Oliver is counting by 6s, the common difference is 6.

Let n be the number of terms in the sequence. Then the nth term can be found using the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where a1 is the first term (15), d is the common difference (6), and an is the last term (363).

Substituting these values, we get:

363 = 15 + (n-1)6

Simplifying the equation, we get:

348 = 6(n-1)

Dividing both sides by 6, we get:

58 = n - 1

Adding 1 to both sides, we get:

n = 59

Therefore, Oliver named 59 numbers before he fell asleep.

To learn more about arithmetic sequence visit:  https://brainly.com/question/15412619

#SPJ11

Answer:

59

Step-by-step explanation:

If we subtract 9 from each number Oliver named, we get the new list6, 12, 18, 24, ..., 354,which consists of the multiples of 6 from 1 ∙ 6 through 59 ∙ 6. There are clearly 59 of these, so Oliver named 59 numbers (namely: 1 ∙ 6 + 9, 2 ∙ 6 + 9, 3 ∙ 6 + 9, and so on through 59 ∙ 6 + 9).

The equation of the line parallel to the given line that contains C is obtained as y = x + 6.

For the given question;

The equation of the line is given as;

y = x + 4

The standard form of the equation of line in slope intercept form is;

y = m x + c

where, m is the slope and c is the y intercept.

On comparing;

m₁ = 1

Now, the other lien is parallel to the given line.

Thus, slopes of both lines will be equal.

m₁ = m₂ = 1

The passing points of the line are;

(x₁, y₁) = C(1, 7)

Now, the equation of lien will be;

y - y₁ = m₂(x - x₁)

Put the values;

y - 7 = 1(x - 1)

Simplifying.

y = x + 6

Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.

To know more about the parallel lines, here

https://brainly.com/question/12065995

#SPJ13

Answer:

55 ft... The ladder must extend 55ft

Step-by-step explanation:

\(c = \sqrt{a ^{2} + b ^{2} } \\ = \sqrt{33 ^{2} + 44 ^{2} } \\ = \sqrt{1089 + 1936 } \\ = \sqrt{3025} \\ c = 55\)

9514 1404 393

Answer:

  2x +y = -2

Step-by-step explanation:

The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.

The slope of the line through the given points is ...

  m = (y2 -y1)/(x2 -x1)

  = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

The slope of the required bisector is then ...

  m = -1/(1/2) = -2

__

The midpoint of the given segment is ...

  ((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

__

Then the point-slope form of the equation of the bisector is ...

  y -y1 = m(x -x1)

  y -2 = -2(x -(-2))

  y = -2x -4 +2

  y = -2x -2 . . . . . . . slope-intercept form equation

  2x +y = -2 . . . . . . . standard form equation

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave.

The two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) show that the sum of these two waves is a standing wave.

The two waves interfere to create a wave that doesn't appear to be moving. The standing wave is represented by E Â 2E0 cos(kz) sin(wt), where E0 is the maximum amplitude of the electric field and k is the wave number.

To find the magnetic field associated with each traveling wave, Maxwell's version of Ampere's Law can be used.The magnetic field associated with each wave is given by

B = µoE / c  where µo is the permeability of free space and c is the speed of light in a vacuum.

Therefore, the magnetic field associated with each traveling wave is given by

B1 = µoE1 / c  and B2 = µoE2 / c.

The Poynting vector for each traveling wave is given by

S = E x B µo. Therefore, the Poynting vector for the two waves is given by S1 = E1 x B1 µo  and S2 = E2 x B2 µo .

The time-average value of the Poynting vector is given by (1 / 2) E0² µo. The direction of the Poynting vector is perpendicular to the direction of propagation of the wave, and it represents the rate at which energy is transported by the wave.

The total magnetic field associated with the standing wave is given byB = B1 + B2. Substituting the expressions for B1 and B2 yields

B = µo / c (E1 - E2).

The Poynting vector for the standing wave is given by S = E x B µo.

Substituting the expressions for E and B yields

S = (2E0 sin(kz))² µo / 4c = E0² µo sin²(kz) / c.

The time-average value of the Poynting vector is (1 / 2) E0² µo, which is the same as that of the individual waves

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave. Maxwell's version of Ampere's Law is used to find the magnetic field associated with each traveling wave. The Poynting vector for each traveling wave is found, and the time average value for each is determined. The total magnetic field associated with the standing wave is calculated. Finally, the Poynting vector for the standing wave is found, and the time average value is determined.

To know more about Poynting vector visit:
brainly.com/question/17330899

#SPJ11

Answer:

y=3x - 8

Step-by-step explanation:

first find slope

10 - 7/6 - 5 = 3

Point - slope

y = 3(x-6)+10

Simplify

y = 3x-18+10

y=3x - 8

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Step-by-step explanation:

7/9 x 1/4 = 7/36

the formula for the equation of the line is ,

y-y1 = m (x-x1 )

2)

for point .( -5,-6), and slope m = 2

put x1 = -5 and y1 = -6

the equation of the line is,

y - (-6) = 2 (x -(-5) )

y +6 = 2(x + 5)

thus, the answer is point slope equation is y + 6 = 2(x + 5)

after the session, you can watch the solution again in your brainly profile

3)

for point .( -7,2), and slope m = 3

put x1 = -7 and y1 = 2 and m = 3

the equation of the line is,

y - 2 = 3 (x -(-7) )

y - 2 = 3(x + 7)

thus, the answer is point slope equation is y - 2 = 3(x + 7)

Answer:

|x| - |-x| = 0

Step-by-step explanation:

Answer:

no se

Step-by-step explanation:

no se

The best measure of center for this data is the median, and its value is 3.

Option B is the correct answer.

We have,

From the line plot,

The median is the best measure of center for this type of data, as it is not affected by outliers.

To find the median, we need to arrange the data in order from least to greatest:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 10

Since there are 15 data points,

The median is the middle value, which is 3.

Therefore,

The best measure of center for this data is the median, and its value is 3.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ1

If all of the 720 pairs of shoes are sold at $25.00 per pair with a profit margin of 25%, the shoe store will make $4,500.00.

Selling price is the amount of money that a seller charges for a particular product or service in order to make a profit.

The selling price of a pair of shoes is $25.00, and the profit for the shoe store is 25% of the selling price, or 0.25 x $25.00 = $6.25.

To find out how much the shoe store will make if all of the shoes are sold, we need to multiply the number of pairs of shoes by the selling price and then by the profit margin:

Total revenue = Number of pairs of shoes x Selling price x Profit margin

Total revenue = 720 pairs x $25.00 x 0.25

Total revenue = $4,500.00

Therefore, if all of the 720 pairs of shoes are sold at $25.00 per pair with a profit margin of 25%, the shoe store will make $4,500.00.

To know more about selling price visit:

https://brainly.com/question/29273267

#SPJ1

The coefficient matrix of the Given system is:

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

A matrix coefficient (or matrix element) in mathematics is a special form of function on a group that depends on a linear representation of the group and other information. It is specifically a function on a compact topological group G that is created by joining a linear map from the endomorphisms of V onto the field beneath V with a representation of G on a vector space. Another name for it is a representative function.

The given linear system is

-4x y 4z = 8

-5x - 6y - 6z = 17

4x y - 3z = -14

The given system in matrix form can be written as :

[ -4   1    4]    [ x ]    [  8  ]

[ -5 -6  -6]  * [ y ] = [  17 ]

[ 4    1   -3]    [ z ]    [ -14 ]

From this the Coefficient matrix of the system is

A = [ -4   1    4]

      [ -5 -6  -6]

      [ 4    1   -3]

To learn more about Coefficient matrix visit:

brainly.com/question/29083712

#SPJ4

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

Learn more about equation on:

https://brainly.com/question/27893282

#SPJ4

Id she walks 2 miles every 12 minutes

2 4 6. 8 10

12 24 26 48 60

60 is an hour therefore she'll walk 10 miles per hour.

Answer:

6 miles per hour

Step-by-step explanation:

12 divided by 2 is 6 miles per hour

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

Answer:

8−5=3

Step-by-step explanation:

If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

To know more about Differential equation here

https://brainly.com/question/2273154

#SPJ4

Answer:

A

Step-by-step explanation:

this is because an input can only have one output, but an output can have many input