Please help out with this geometry homework I was assigned. And what formula do I use?

Answer:

6.3

Step-by-step explanation:

The probability of A ∪ B if A and B are independent is 0.545, and the probability of A ∪ B if A and B are mutually exclusive is 0.65.

(a) Determining the probability of A ∪ B if A and B are independent.

Independent events are events that don't affect each other. The probability of A and B occurring simultaneously is the product of their individual probabilities.

P(A ∩ B) = P(A)P(B) = 0.30 × 0.35 = 0.105

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.30 + 0.35 - 0.105 = 0.545

Therefore, the probability of A ∪ B if A and B are independent is 0.545.

(b) Determining the probability of A ∪ B if A and B are mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time.

The probability of either A or B occurring is the sum of their probabilities.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

If A and B are mutually exclusive, P(A ∩ B) = 0.

Therefore, P(A ∪ B) = P(A) + P(B) - 0= 0.30 + 0.35= 0.65

Therefore, the probability of A ∪ B if A and B are mutually exclusive is 0.65.

The solution is as follows:

The probability of A ∪ B if A and B are independent is 0.545, and the probability of A ∪ B if A and B are mutually exclusive is 0.65.

To know more about probability, visit:

https://brainly.com/question/31828911

#SPJ11

The train will arrive at its final destination at 2:57 P.M. in the afternoon.

The total distance of the trip is 221 miles and the train travels at an average speed of 34 miles per hour. Using the formula:

time = distance / speed

We can calculate the total time it will take for the train to complete the journey without stopping at stations:

time = 221 / 34 = 6.5 hours

However, the train stops at each of ten stations for four minutes each, so the total time spent stopping is 10 x 4 = 40 minutes, or 0.67 hours. Therefore, the total time the journey will take, including the stops, is:

total time = 6.5 + 0.67 = 7.17 hours

The train departs at 7:30 A.M., so we can add 7.17 hours to this time to find the arrival time:

7:30 A.M. + 7.17 hours = 2:57 P.M.

Therefore, the train will arrive at its final destination at 2:57 P.M. in the afternoon.

for such more question on word problems

https://brainly.com/question/13818690

#SPJ11

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

To learn more about the standard deviation;

brainly.com/question/23907081

#SPJ2

Answer:

20 degrees

I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.

Answer:

The answer is D: x > 0

R: natural numbers > 2

Step-by-step explanation:

I got 100 on the quiz good luck bro

Answer:

22 + 63 = 20 + 65

Step-by-step explanation:

Hope this helps!

Answer:

22 + 63 is the same as 20 +  65

Step-by-step explanation:

Hope this helped!

Answer:

I have no clue j need more free answer

Step-by-step explanation:

3x+2y+z=16 4x-y=-5 y+x=11

Answer:

67

Explanation:

the angle labeled 10 which is =113 and the angle labeled 11 are co interior angles.

co interior angles add upto 180 therefore to get the value of the angle labeled 11 you subtract 113 from 180 which gives you 67

the angle labeled 11 which is =67 and the angle labeled 8 are alternate angles. Alternate angles are equal therefore the value of the angle labeled 8 which you've been asked to give is 67

These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

To know more about times visit:

https://brainly.com/question/26941752

#SPJ11

The value of x is given as follows:

x = 17.

We obtain the value of x for this problem considering that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of the triangle is given as follows:

The sum of the measures of the angles is of 180º, hence the value of x is given as follows:

4x + 3 + x + 7 + 5x = 180

10x + 10 = 180

10x = 170

x = 17.

More can be learned about the sum of the measures of the internal angles of a triangle at https://brainly.com/question/25215131

#SPJ1

Types of Triangles answer

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

Read more about Sequence of Transformation at: https://brainly.com/question/4289712

#SPJ1

Answer:

Olivia-2.25

Step-by-step explanation:

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

To compare the speeds of Maggie and Olivia, we can calculate their respective rates using the formula:

rate = distance/time

For Maggie:

distance = 1/4 mile

time = 1.3 minutes

rate = (1/4) / 1.3 = 0.1923 miles/minute

For Olivia:

distance = 2/3 mile

time = 2.9 minutes

rate = (2/3) / 2.9 = 0.2293 miles/minute

Therefore, Olivia runs faster than Maggie.

To find out how much faster Olivia runs per hour, we can convert her rate to miles per hour:

0.2293 miles/minute x 60 minutes/hour x 60 seconds/minute

= 13.758 miles/hour

Similarly, we can convert Maggie's rate to miles per hour:

0.1923 miles/minute x 60 minutes/hour x 60 seconds/minute

= 11.538 miles/hour

The difference in their speeds is:

13.758 - 11.538

= 2.22 miles/hour

So,

Olivia runs 2.22 miles/hour faster than Maggie.

Thus,

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ3

Answer:

Step-by-step explanation:

Everyone asks about these types of problems,  I feel like math teachers do not know how to teach this type of problem.

these really are just follow the steps , type of problems..

Step 1 :

find the slope

slope = m

given:

point P1 (-4,-6)  in the form (x1,y1)

4x + 5y = 25

because they tell us to find a line perpendicular to the given line,  we are able to use the slope of the given line to find the slope of the line we want.  Perpendicular means  take the reciprocal of the given line's slope.

or

4x + 5y = 25

5y = -4x + 25

y = \(\frac{-4}{5}\) X +5  use the slope intercept formula to know slope m

y= mx + b

m=   \(\frac{-4}{5}\)

take the reciprocal and swap the sign

m = \(\frac{5}{4}\)

Step 2:

put the given information into the point slope formula.  if this seems like a lot to remember it's going to be super super helpful for you to memorize the two formulas,   slope-intercept and point-slope,  you'll use them over and over.

point slope formula

y - y1 = m(x -x1)

y - (-6) =  \(\frac{5}{4}\)(x-(-4))

the (x1,y1) came from the given point above.  Now just solve for Y

y +6 =   \(\frac{5}{4}\)(x+4)

y + 6 =   \(\frac{5}{4}\)x + 5

y  =   \(\frac{5}{4}\)x + 5 -6

y =  \(\frac{5}{4}\)x -1

this is the equation of the line that passes through point (-4,-6)

Note that that is in the form of the slope intercept formula

y = mx + b

where b is just a negative number

There was really just 2 Steps,  and none of that math is really difficult.

recall the two formulas,  and how they are used.  and you are good.

Answer:

y=-1x+4

Step-by-step explanation:

Since when x is 0, y is 4, that means 4 is the y-intercept and the slope is equal to y2-y1/x2-x1 which would be 1-4/3-0= -3/3=-1

Answer:

What is the problem?

Step-by-step explanation:

let age of 6th person is x

sum of x = 14+24+24+20+24+x

= 106 + x

N = 6

mean = 21

now,

\(mean = \frac{sum \: of \: x }{n} \\ 21 = \frac{106 + x}{6} \)

\(126 = 106 + x\)

\(x = 20\)

The mode is 18.5.

What is mode?

In statistics, there  are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.

Formula for mode for grouped data is given by:

Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)

Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.

In the given problem l= 15.5

                                   f₀= 8

                                  f₁= 10

                                  f₂= 8

                                  h= 6

Putting all the values in equation (1) we obtain mode

                     mode= 15.5 +{(10-8)/(2×10-8-8)} ×6

                              = 15.5+(2/4)×6

                              = 15.5+ 3

                               = 18.5

Hence, the mode is 18.5.

To know more about modes

https://brainly.com/question/27951780    from the link.

#SPJ9                                

Answer:

5 eggs

Step-by-step explanation:

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

For more information about confidence intervals, visit

https://brainly.com/question/26658887

#SPJ4

The equation that represents the situation is:

d = 525h

In this equation, d represents the distance traveled and h represents the number of hours spent flying. The equation states that the distance traveled (d) is equal to the product of the speed (525 miles per hour) and the number of hours spent flying (h). This equation shows the relationship between the distance and time for the airplane flying at a constant speed of 525 miles per hour.

       The Equation Representing The Situation is:

       d  =  525 *  h

Make A Plan:

We need to find the Equation representing the relationship between the distance traveled (D) and the number of hours spent flying (H).

The Airplane is flying at a Constant Speed of 525 Miles Per Hour (mph). However, The Distance Traveled is Equal to the speed Multiplied by the Time Spent Flying.  

        d   =   525  *   h

        The Equation Representing The Situation is:

        d  =  525 *  h

I hope this helps you!

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Solution:

20 - 1 1 = 9 cm

We can divide figure in 2 parts

rectangle = 14 cmx 11 cm

square = 9 cm x 9  cm

Area of rectangle = 14 * 11 = 154 cm²

Area of square = 9 * 9 = 81 cm²

Total area = 154 + 81

= 235 cm²

Learn More :

Find the area of the given figure withTU = 6 cm, SR = 8 cm, UR = 15 ...

brainly.in/question/14804329

In the figure, triangle ABC in the semi circle . Find the area if the ...

brainly.in/question/13845921

Answer:

Area = 235 square cm

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Split the figure into rectangle and square:

Rectangle : 14 x 11

Square : 9 x 9

\(Area \ of \ rectangle : 14 \times 11 = 154 \ cm^2\)

\(Area \ of \ square = 9 \times 9 = 81 \ cm^2\)

\(Total \ area = 154 + 81 = 235 \ cm^2\)

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

\(\frac{2500}{10,000}\). This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

\(\frac{2500}{10000}=\frac{x}{500000}\) and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

\(\frac{$}{#}\)

The 15 equations and 15 unknowns are part of a system of linear equations. These equations can be used to find the values of the 15 unknowns. The purpose of each set of equations is to determine the unknowns in the system. The equations are derived using algebraic methods such as substitution, elimination, and graphing.

The 15 equations are:

1. x + y = 15

2. x - y = 5

3. 2x + 4y = 60

4. x + 2y = 30

5. 3x + y = 45

6. 3x - y = 35

7. x + 4y = 40

8. 4x + y = 55

9. x - 4y = 5

10. 2x - y = 15

11. 3x - 2y = 20

12. 5x + y = 55

13. x - 5y = -5

14. 2x + 5y = 55

15. 4x - 3y = 25

The 15 unknowns are:

1. x

2. y

3. x + y

4. x - y

5. 2x + 4y

6. x + 2y

7. 3x + y

8. 3x - y

9. x + 4y

10. 4x + y

11. x - 4y

12. 2x - y

13. 3x - 2y

14. 5x + y

15. x - 5y

Each equation is derived using algebraic methods such as substitution, elimination, and graphing. By substituting the known values into the equations, the unknowns can be determined. Elimination is used to get rid of terms from the equations, making it easier to solve for the unknowns. Graphing is used to plot out the equations and to help visualize the relationships between the unknowns and the equations.

#SPJ11

There are 15 equations and 15 unknowns : https://brainly.com/question/31078611

The number of groups of three that the college can select is 56.

Total number of students = 8

Number of assistantships available = 3

Groups of three can be selected by the college means that out of the eight students three need to be selected at random and this can be done in ⁸\(C_{3}\) ways.

In this case, we use combination and not permutation because the order of selection of the students does not matter.

Now, we know

ⁿ\(C_{r}\) = ( n! )/( r! (n-r )!)

Here, n = 8 and r = 3

⁸\(C_{3}\)  = ( 8! )/( 3! (8-3)! )

⁸\(C_{3}\)  =  ( 8 × 7 × 6 × 5! )/ ( 3 × 2 × 1 × ( 5! ) )

⁸\(C_{3}\)  = ( 8 × 7 × 6 )/ ( 3 × 2 )

⁸\(C_{3}\)  = 56

The number of groups of three that the college can select is 56.

To know more about Combination and Permutation Refer to the link:

https://brainly.com/question/11732255

#SPJ4

Answer: what do u need help in ?

Step-by-step explanation: