A fair die is rolled 4 times in succession. What is the probability that the number on each roll is strictly less than the number on the previous roll

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                    13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

The rate of interest of the instalment is 13%

The part payment of a loan is called Instalment

It is given that

The Cash price is $540

Instalment of $42

Time = 15 month = 15/12 = 1.25 years

Total Amount paid = 42 * 15 =$630

Interest Paid is $90

90 = 540 * 1.25 *Rate

Rate = 13%

The rate of interest of the instalment is 13%

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The variance of the probability distribution is 400

The Variables of X and their Probability Distribution.

To find Variance, first we should find out Mean and then Variance

The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)

The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.

Step – 1: Calculation of Mean                               Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)

Mean = X * P(X)     Variance = Sum of (X – Mean)²*P(X)

X P(X) X*P(X)

-50 0.029 -1.45

-30 0.121 -3.63

-10 0.210 -2.1

10 0.485 4.85

30 0.145 4.35

50 0.010 0.5

Mean  2.52

X  P(X) X - Mean  (X – Mean)² (X – Mean)²*P(X)

-50 0.029 -52.52 2758.35                 79.99216

-30 0.121 -32.52 1057.55                 127.9636

-10 0.210 -12.52 156.7504         32.91758

10 0.485 7.48          55.950                  27.13594

30 0.145 27.48 755.1504         109.4968

50 0.019 47.48 2254.35                 22.5435

Variance=400.00

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Answer:

Step-by-step explanation:

784-263=521

784+521=1305

answer=1305

Answer:

306.324

306.359

316.011

Step-by-step explanation:

Hope it helped!

Answer:

x² - 10x + 25

Step-by-step explanation:

The formula for squaring any binomial (an expression with two terms) is:

(a ± b)² = a² ± 2ab + b²

Let a = x and b = 5.

∴ Substituting:

   (x - 5)² = x² - 2(x)(5) + (-5)²

               = x² - 10x + 25

Answer:

m=120

k=60

Step-by-step explanation:

a trapezoid has 360 degrees. subtract 120 degrees to get 240 degrees. we know that m=2k. 240=2k+2k which is 4k. 240 is 4k. k=60. m=2k, so mulitply 60 by 2 to get m=120

Answer:

the answer is 2.5 million

Step-by-step explanation:

About 2.5 million people moved away from the Great Plains states during the Great Depression.

The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."

This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.

Many people left the region in search of better opportunities and living conditions.

Therefore, 250,0000 people moved.

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The average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A shipping company claims that 95% of packages are delivered on time.

From the table:

00- 04 is the package not delivered on time.

05-99 - package delivered on time.

The first simulation's third number, 31, 64, 04, is where you can locate an item that wasn't delivered on time.

The second simulation's second number, 34, 02, is the location of a late-delivered delivery.

The third simulation is equal to 96,00 - the second number, which is the location of a late package.

The second number where to find a shipment not delivered on time in the fourth simulation is 31,04

Where to find a box that wasn't delivered on time in the fifth simulation: 98, 01, second number

The average number = (3 + 2 + 2 + 2 + 2)/5

= 11/5

= 2.2

Thus, the average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

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Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

A line is the distance between two points. The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:

Slope = 2-(-4)/2-(-2)

Slope = (6)/4

Slope = 3/2

Find the equation of the line

y -(1) = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

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Answer:

d

Step-by-step explanation:

5b+a-2c when a=2,b=1&c=3

5(1) + 2 - 2(3)

5 + 2 - 6

7-6

Answer: 1

Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi

When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.

Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.

From the given collected data we can find out number of times each number came when the dice is rolled.

Number of times 1 came=3

Number of times 2 came=1

Number of times 3 came=4

Number of times 4 came=1

Number of times 5 came=3

Number of times 6 came=2

The probabilities are in fraction form:

P(1)=3/14

P(2)=1/14

P(3)=4/14

P(4)=1/14

P(5)=3/14

P(6)=2/14

The probabilities in decimal form:

P(1)=0.21

P(2)=0.07

P(3)=0.28

P(4)=0.07

P(5)=0.21

P(6)=0.14

The probabilities in percentage:

P(1)=21%

P(2)=7%

P(3)=28%

P(4)=7%

P(5)=21%

P(6)=14%

Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.

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The coordinates for point B are (a) (7,0)

Point B is located 7 units right of the origin. What are the coordinates for point b?

The origin is located as:

(0,0)

From the question, we understand that:

B ⇒ 7 unit right of origin

This means that:

B = (0 + 7, 0)

Evaluate the sum

B = (7,0)

Hence, the coordinates for point B are (a) (7,0)

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Answer:a

Step-by-step explanation:

Answer:

function

Step-by-step explanation:

The graph shows a function since it passes the vertical line test.

Answer:

maybe minus 12 there was no number of cows

Answer:

x - 12

Step-by-step explanation:

x represents the number of cows since we do not know the number

then "minus 12"

bada bing bada boom

I assume [[x]] stands for "the largest integer smaller than or equal to x".

If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.

Step-by-step explanation:

Let x be mixture x liters and y be mixture y liters.

We need a total of 4 liters so

[tex]x + y = 4[/tex]

Mixture x is 20% saline solution

Mixture Y is a 10% saline solution

4 liters of a 15% saline solution is 60% saline solution.

[tex].20x + .10y = 0.6[/tex]

So a is the system of equations,

Using Elimination, eliminate the variable x.

[tex] - 5(.20x + .10y) = 0.6[/tex]

[tex]( - x - .50y) = - 3[/tex]

Add to the first system.

[tex]0.50y = 1[/tex]

[tex]y = 2[/tex]

Plug this into the of system of equations, to find x

[tex]x + 2 = 4[/tex]

[tex]x = 2[/tex]

So our solution is (2,2) We would need 2 liters of Mixture X and 2 liters of Mixture Y

Answer:

tgnjfgznjE XVNJ

Step-by-step explanation:

rtjtejWEJAREfnndzjt

Answer:

15. 2.66

16. - 18

17. Impossible

18. Impossible

19. - 1

20. - 8

21.

Answer:

a: 1
b: -1
c: -3

Step-by-step explanation:

You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3

Answer:

What graph? add a photo?

The quadratic inequality represented by the graph is:

y ≤ 2x² - 8x + 3

First, we can see that the shaded region is below the parabola, and the line of the parabola is solid, which means that the points on the parabola are solutions, then the inequality is:

y ≤ quadratic equation.

Now we need to get the quadratic equation.

Now, if you look at the y-intercept, you can see that it happens at y = 3. Then the constant term of the quadratic equation is 3.

The only one that has that (and the  ≤  symbol)  y-intercept is the first option:

y ≤ 2x² - 8x + 3

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Answer:

the LCM of 18 25 40 80 81 and 72 is 226800

i hope this helps you

Step-by-step explanation:

by which method

prime factorization , division or defination method

a) 50<x<60

b) 20<x<30

idek

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as

[tex]x + 3y > 6\\y \geq 2x + 4[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

From the graph, we have the solutions as

[tex]x > -0.857[/tex]

[tex]y\geq 2.276[/tex]

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Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

[tex]y \geqslant 2[/tex]

The slanted line, y=x is dashed and shaded below, so it represents y<x.

Answer

Answer is A

Step-by-step explanation:

The angles at which the fences will meet is 27 , 38 ,114 degree.

A triangle is  a polygon with three sides , three angles and three vertices.

It is given that the triangle has sides

1.1 miles * 1.5 miles * 2.2 miles

The law of cosines can be used to calculate the angle

a² = b² + c² -2bc cosA

1.1²  = 1.5² + 2.2² -2 *1.5 *2.2 cosA

A = 27.01 degree

Similarly

b² = c² +a² -2ac cosB

1.5²  = 2.2² +1.1²  -2 * 2.2*1.1 cos B

B = 38.27 degree

By angle sum property

Angle C = 180-38.27-27.01

C = 114.72 degree

Therefore , the angles at which the fences will meet is 27 , 38 ,114 degree.

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