you pick a marble and flip a coin how many outcomes are possible

Given,

1)P(A) = 0.25

P(B) = 0.65

The value of P( A or B) is,

Hence, option d is correct.

2)P(A) = 0.45

P(B) = 0.35

The value of P( A or B) is,

Hence, option c is correct.

The expression in the lowest term will be 3^-1x³.

It should be noted that an expression simply has to do with the relationship that can be illustrated having a mathematical operator.

It should be noted that based on the information given, this will be illustrated as:

= 1/3(x³)

This can be illustrated as:

1/3 = 3^-1 multiplied by x³.

= 3^-1x³

This shows the concept of exponents.

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SOLUTION:

Step 1:

In this question, we are given the following:

Use the limit definition of the derivative to find the instantaneous rate of change of

Step 2:

The details of the solution are as follows:

An alternative way to find the use the limit definition of the derivative to find the instantaneous rate of change of:

Let us take the derivative of the function and we have that:

Answer:

a = 12.5 m/s2

Step-by-step explanation:

anwser 12.5

The given statement is false: vertical angle do not depend on the line being parallel. A pair of vertical angles are always congruent.

Vertical angle:

Vertical angle means that the angles opposite each other when two lines cross.

Given,

Here we have the diagram and we also know that angle 7 is congruent to angle 5.

Now we need to find the given statement is true or not.

Through the given diagram, we have identified that, the eight angles will together form four pairs of corresponding angles.

Angles 1 and 5 constitutes one of the pairs.

We know that all the corresponding angles are congruent.

All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Through that we know that basically, the vertical angles are always congruent, which means that they are equal. So, it is not necessary for them to be parallel.

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Answer:

C(x) = 75x + 1908

Step-by-step explanation:

C(x) is the cost function.

The cost of making x bicycles is the sum of the fixed costs and the cost per bicycle.

The fixed cost is $1908.

The cost per bicycle is $75, so the per bicycle cost for x bicycles is 75x.

Add the two costs, and you get:

C(x) = 75x + 1908

The given compound inequality is:

Solve the first inequality:

Solve the second inequality:

Therefore, the correct answer is choice C:

-8 < x ≤ 4

Answer:

-3/9 or -1/3

Step-by-step explanation:

:]

Answer:   -1/3

Step-by-step explanation- To subtract fractions, you first make the the denominators the same. The denominator is the bottom number. To make the denominator the same, you look for the lowest common denominator. Making the answer -1/3

ANSWER:

B.

STEP-BY-STEP EXPLANATION:

A parent function is the simplest formula in which no transformations have been made. Therefore, the function that would be the parent one of the answer options is:

The amount paid for each is;

1) Amount earned per game = $215625 per game

2) Amount earned per minute played = $4492.1875

3) Amount earned each minute for 2/3 games = $6738.28

4) Amount earned per hour = 4492.1875 * 60 = $269531.25

We are given;

Amount earned by athlete = $17,250,000

Number of games played = 80 Games

Number of minutes per game = 48 minutes

1) Amount earned per game = Amount earned by athlete/Number of games played = 17250000/80 = $215625 per game

2) If he played entire games for the entire minutes;

Amount earned per minute played = 17250000/(80 * 48)

Amount earned per minute played = $4492.1875

3) He played 2/3 of every game. Thus;

Amount earned each minute for 2/3 games = 17250000/((2/3) * 80 * 48)

Amount earned each minute for 2/3 games = $6738.28

4) Since amount earned for every minute is $4492.1875, then we say that;

Amount earned per hour = 4492.1875 * 60 = $269531.25

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Slope of a parallel line: 6

Slope of a perpendicular line: -1/6

What is Slope ?

slope, The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytical geometry ("slope equals rise over run").

Given equation,

y=6x-4

The equation of a line with slope  m  is given as:

y=mx+c

Rearranging the given equation:

y=(6)x+(-4)

By equating the equations we get,

m= 6

Which is slope of a parallel line

Now any parallel line would have the same slope.

And slope of a perpendicular line would be  −1/m.

i.e.  m(perpendicular)= -1/6

Hence, Slope of a parallel line is 6 and Slope of a perpendicular line is -1/6

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Let's list down the pieces of information given the scenario:

Cost of bike parts = $17.50

Bike parts and labor together = not more than $40/ lesser than or equal to $40.

Let's now generate the equation based on the given information,

Let,

L = Labor cost

Let's now generate the inequality showing the possible labor cost, L

Therefore, the cost of labor must not be more than $22.50.

we have that

TLy+TRy=20,290 ------> equation A

and

sin(24.3)=TLy/TL

TLy=TLsin(24.3) ------> equation B

sin(44.5)=TRy/TR

TRy=TRsin(44.5) ------> equation C

and

TLx=TRx

TLcos(24.3)=TRcos(44.5)

TL=TRcos(44.5)/cos(24.3) --------> equation D

substitute equation B and equation C in equation A

TLsin(24.3)+TRsin(44.5)=20,290 -------> equation E

substitute equation D in equation E

(TRcos(44.5)/cos(24.3))sin(24.3)+TRsin(44.5)=20,290

solve for TR

factor TR

TR[cos(44.5)/cos(24.3))sin(24.3)+sin(44.5)]=20,290

TR=19,835 pounds

Find TL

TL=(19,835)cos(44.5)/cos(24.3)

TL=

Point J is located at 5

Point K is located at 12

Point M is located at 27

a. The length of the segment JK is: 12 - 5 = 7

b. The length of the segment KM is: 27 - 12 = 15

Answer:

4x + 3

Step-by-step explanation:

Three more means you're adding three to the number. So, you have + 3 right now. Four times the number of shells Talia collects is 4x with x representing Talia's shells. We don't know how many she has so it's represented by x. Now, put everything we have together. 4x + 3.

Hope this helps! :)

m(4) = 110° due to the Transitive Property.

The Transitive Property states a that if a = b and b = c, then a = c.

m(3) + m(4) = 180 due to the definition of Supplementary Angles. All supplementary angles add up to 180°.

m(3) = 70° because 180 - 110 = 70.

Step-by-step explanation:

The total number of people that drove to the meeting is 240

80% drove to the meeting

Let the total number of people who attended the meeting be x

Using the percentage and whole relationship

Part = percentage x whole

whole = x

part = 240

percentage = 80%

240 = 80/100 * x

240 = 0.8x

Divide both sides by 0.8

240/0.8 = 0.8x/0.8

x = 300

The total number of people that attended the meeting is 300

In an isosceles triangle, there are

2 legs (equal sides)

1 base

The 2 legs are the equal sides

The base is the third side

In the isosceles triangle ABC:

Since AB = BC, then

AB and BC are the legs of the triangle, then

AB and BC are called legs

The answer is d

The cost of Apple A: $1.225

What is Weight?

The weight of an object is the force exerted on it by gravity. Some standard textbooks define weight as a vector quantity, the force of gravity acting on an object. Some define weight as a scalar quantity that is the magnitude of gravity.

Cost of the different types of the apple have been given as,

Apple A = costing $4.90 for 4 lb

Apple B = costing $1.00 for 10 oz

Apple C = costing $0.45 for 1/2 lb

For Apple A,

Since, cost of 4 lb = $4.90

Therefore, cost of 1 lb = 4.90/4

                                    = $1.225

For Apple B,

Since, 1 oz = 0.0625 lb

Therefore, 10 oz = 0.0625 × 10

                            = 0.625 lb

Since, cost of 10 oz = $1.00          

Therefore, cost of 0.625 lb = $1.00

And cost of 1 lb = 1/0.625

                          = $1.6

For Apple C,

Since, cost of 1/2 lb = $0.45

Therefore, cost of 1 lb = 0.45 × 2

                                   = $0.90

 Hence, Cost of Apple A will be the least with $1.225 per pound.

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Given:

Future Value = $15,000

time (t) = 11 years

rate (r) = 4.4% or 0.044

number of conversions per year (m) = 365

Find: Initial amount or the Principal

Solution:

Formula for Compound Interest is:

From that, we can derive the formula for the Principal or the initial amount.

Let's plug in the given data above to the formula of the principal value.

Then, solve for P.

Answer: You must invest $9, 244.97 to the account in order to get $15,000 after 11 years.

The angles ∠IDA, ∠YDA, and ∠RDI measures 121°, 59°, and 29.5°.

The angle ∠YDF is equal to 121°. The ∠IDA is vertically opposite angle. So, ∠ADI is equal to the ∠YDF. Hence, ∠IDA = 121°.

The angle ∠YDA and the angle ∠ADI form a linear pair. It means ∠YDA and ∠ADI are complimentary angles.

∠YDA + ∠ADI = 180°

∠YDA + 121° = 180°

∠YDA = 180° - 121°

∠YDA = 59°

The ∠FDI is vertically opposite angle to ∠YDA. So, ∠FDI is equal to the ∠YDA. Hence, ∠FDI = 59°. The ray DR bisects the ∠FDI. So, the angle ∠RDI is half of the angle ∠FDI.

∠RDI = (1/2)∠FDI

∠RDI = (1/2)59

∠RDI = 29.5°

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Correct deduction for social security Medicare and fit at 6.3% = 8,996.967

Correct deduction for Medicare at rate of 1.45% = 2,070.731

Medicare is defined as a type of health insurance that reduces the fees incurred by an individual following the reception of health services.

After deductions the total earning = 140,460

The correct deduction for social security, Medicare and fit at the rate of 6.3% of 142,809;

= 6.3/100 × 142,809

= 899696.7/100

= 8,996.967

The correct deduction for Medicare at the rate of 1.45%;

= 1.45/100 × 142,809

= 207,073.05/100

= 2,070.731.

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The graph that represents the solution to the system of inequalities is given in the attachment below.

To find the correct graph that represents the solution to the system of inequalities, determine which inequality represents each of the line that is plotted on the graph.

The first inequality, y < -3x - 2, has a slope of -3, a y-intercept of -2, and an inequality sign "<" which means the shaded part will be below the a dotted or dashed boundary line.

The second inequality, y ≤ x − 2, has a slope of 1, a y-intercept of -2, and an inequality sign "≤" which means the shaded region is below a solid boundary line.

The graph that represents the above stated features is the graph of the system of inequalities shown below.

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The value of x is the answer to the equation x - 2 = 16 which is 18.

An equation is an expression that shows the relationship between two or more numbers and variables. The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We have been given a linear equation as;  x - 2 = 16

We need to find the value of x as the answer to the equation x - 2 = 16.

Therefore, we will eliminate the 2.

x - 2 = 16

Add 2 on both sides of the equation;

x - 2 + 2= 16+ 2

Then ;

x = 18

Hence, the value of x is the answer to the equation x - 2 = 16 which is 18.

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