what is equivalent to
(3x+1)(4x-1)

Answer:

a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

Step-by-step explanation:

Question a:

The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.

The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So

0.75*0.75 = 0.563

0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.

If it doesn't have a delay, 85% probability of continuing without a delay.

If it has a delay, 75% probability of continuing with a delay.

So, for the long run:

x: current state

85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So

[tex]0.85x + 0.25(1 - x) = x[/tex]

[tex]0.6x + 0.25 = x[/tex]

[tex]0.4x = 0.25[/tex]

[tex]x = \frac{0.25}{0.4}[/tex]

[tex]x = 0.625[/tex]

0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

Answer:

1.

mean= 84.6

median=84

mode=84

2.

mean=10.14

median=9

mode=9

3.

mean=22.3

median=21

mode=phi

Step-by-step explanation:

mean: the sum of of the quantities by their number

median: the median value after rearranging the values

mode: the value that occurs most frequently

in the second question

mean = (8+9+9+9+9+10+11+15)/8

median(even number) =(9+9)/2=9

mode=9

Answer:

for data set 1

1.mean-84.6

2.median-(84+84)/2 = 84

3.mode-84

for data set 2

1.mean-9.25

2.median-(9+9)/2 = 9

3.mode-9

for data set 3

1.mean-22.3

2.median-21

3.mode-no mode with this data set

hope this helped!!

5/12

we use pythag to find the missing side length

hope this helps :D

Find x.

2x/2=x 6/2=3

x=3

Answer:

x=3

Step-by-step explanation:

you have to leave the x alone you do divide so it will be like this x=6/2 since you can reduse them it will be x=3

Answer:

5

Step-by-step explanation:

I am not sure if you are aware of this and I am sure you will be able to get a good one

Answer:

Distance AB = √74 units is the answer.

Step-by-step explanation:

(-3,4) and (2,-3)

distance between two points,

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(2-(-3))^2 + (-3-4)^2}\\\\d = \sqrt{(5)^2 + (-7)^2}\\\\d = \sqrt{25+49}\\\\d = \sqrt{74}[/tex]

∴ distance between A(-3,4) and B(2,-3) is √74 units.

Answer: m=6

Step-by-step explanation:

Divide both sides by 3.4

3.4m/3.4 and 20.4/3.4

Answer:

-6, -5, -4, -3, and -2

n≥-6

Step-by-step explanation:

Multiply both sides by 2

n≥-6

so the values that make this true are -6, -5, -4, -3, and -2

Answer:

B

Step-by-step explanation:

10x3= 30

because kim spends 10 min washing her car, and Denzel spends 3 x as a many washing his car.

so you do 10 x 3 = 30

The equation that represents the time Denzel spends is d = 10×3.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Kim spends 10 minutes washing her car and Denzel spends 3 times as many minutes (d) washing his car as Kim spends.

∴ The equation that represents the time Denzel spends is d = 10×3.

learn more about equations here :

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Answer:

8b = 48

Step-by-step explanation:

this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.

Answer:

8b = 48

Step-by-step explanation:

8 x 6 = 48

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

Answer:

B) -35

Step-by-step explanation:

-20+(-15)

as taught when there is a minus and plus sign together it becomes a minus sign automatically (+ -)= -

Therefore -20+(-15)

will be -20-15 which gives you -35

Answer:

About 16.67% of the participants ended up with orange bracelets.

Step-by-step explanation:

The percentage of orange bracelets is given by the number of orange bracelets multiplied by 100% and divided by the total number of bracelets.

In this question:

Total of 54 bracelets.

9 orange.

So

9*100%/54 = 16.67%

About 16.67% of the participants ended up with orange bracelets.

Opposite angles inscribed in a cyclic quadrilateral are supplementary, so:

[tex]m\angle R+m\angle T=180^{\circ}\\\\m\angle R+47^{\circ}=180^{\circ}\\\\m\angle R=\boxed{133^{\circ}}[/tex]

Answer:

monday wednesday tuesday thursday

Step-by-step explanation:

edge 2020

Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

A fraction represents a part of a whole.

Monday = [tex]3\frac{1}{3}[/tex]

Convert mixed fraction to improper 10/3

Decimal value 3.33

Tuesday = [tex]3\frac{2}{5}[/tex]

The improper fraction is 17/5

Decimal value 3.4

Wednesday = [tex]3\frac{3}{8}[/tex]

The improper fraction is 27/8

Decimal 3.375

Thursday = [tex]3\frac{1}{2}[/tex]

The improper fraction is 7/2 which is 3.5

Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

To learn more on Fractions click:

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Answer:

7.75

Step-by-step explanation:

Remember, 1 ounce equals 0.0625 pounds.

Multiply 124 x 0.0625 to get you answer.

Hope this helps,If you have any questions revolving around this topic,feel free to ask me,Good luck!

Answer:

68%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 75, standard deviation of 4.

What percent had scores between 67 and 75?

67 = 71 - 4

75 = 71 + 4

Within 1 standard deviation of the mean, so, by the Empirical Rule, 68%.

Answer: 166 degrees

Step-by-step explanation:

An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.

1080-104-126-163-130-131-107-153= 166

ANSWER: 166 degrees

Answer:

166 degrees

Step-by-step explanation:

in an octagon, there are a total of 1080 degrees,

so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)

we end up with 166 degrees! :)

hope this helped!

Answer: (4,5)

Step-by-step explanation:

Anything less than 4 and 5, would be equal to or less than 4

Answer:

4, 5

Step-by-step explanation:

Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Answer:

y = 1/4(x)

Step-by-step explanation:

Given the equation:

x 24 32 40 48

y 6 8 10 12

The slope = (y2 - y1) / (x2 - x1)

Slope = (12 - 6) / (48 - 24)

Slope = 6 / 24

Slope = 1 / 4

The slope intercept relation is expressed thus :

y = mx + c

m = slope ; c = intercept

Picking a point :

x = 32, y = 8

8 = 1/4(32) + c

8 = 8 + c

c = 0

Hence, the fit pattern for the equation is :

y = 1/4(x)

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint

Answer:

Step-by-step explanation:

Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning

Answer:

Probably the easiest way to visualise negative and positive numbers is using a number line, a tool with which you may well be familiar, especially if you have children at primary school.

It looks something like this:

Number line showing a scale of -25 to +25.

A number line can help you to visualise both positive and negative numbers and the operations (adding and subtracting) that you can do with them.

When you have an addition or subtraction to calculate, you start at the first number and move the second number of places either to the right (for an addition) or left (for a subtraction).

This number line is a simplified version, but you can draw them with every number included if you wish. The big advantage of a number line is that it is very easy to draw for yourself on the back of an envelope or a piece of scrap paper, and it is also quite hard to go wrong with the calculation. As long as you are careful to count the number of places that you are moving, you will reach the correct answer.

Answer:

288

Step-by-step explanation:

Answer:

36 m²

Step-by-step explanation:

A = 1/2h × (sum of bases)

A = 1/2(4)(6 + 12)

A = 2·(18)

A = 36 sq m

Answer:

7 X 5

You use multiplacation to find the total number of blocks

Answer:

By the end of the week she will have 254 pennies and she will put 128 pennies for the last day

Answer:

B.

Step-by-step explanation:

The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included