suppose that a and b are independent events with p(a) 5 .5 and p(b) 5 .6. can a and b be mutually exclusive events?

The system of equations - 2x + 5y = - 2 and 4x - 10y = 4 has infinitely many solutions.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, A system of equations - 2x + 5y = - 2...(i) and 4x - 10y = 4...(ii).

Now, multiplying eqn(i) by 2 it becomes - 4x + 10y = - 4...(iii).

Now, by Adding (ii) and (iii) we get,

0x + 0y = 0.

So, 0 = 0, and hence these are coinciding lines with infinitely many solutions.

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Write the sentence as an inequality. Three is no less than a number z.

3 ≥ z

Answer: 0.48 m,  480 mm

Step-by-step explanation:

1 m = 100 cm

So take 48 divided by 100 = 0.48m, so this is correct.

1 cm = 10 mm

So take 48 times 10 = 480 mm, so this is correct

Answer:

86

Step-by-step explanation:

Answer: 36 miles

Step-by-step explanation:

2/3 hour = 40 minutes

We know that its speed is 24 miles in 40 minutes

So take 24 divided by 40 = 0.6 miles per minute

Then take 0.6 times 60 = 36 miles in 1 hour

So it can drives 36 miles in 1 hour

Step-by-step explanation:

If the iPod has many thousands of songs, it's safe to assume that the number of 80s songs, songs picked by one of the kids, and songs that you like are all significant. Therefore, the probabilities that the first song will be an 80s song, a song picked by one of the kids, or not one of your songs are roughly equal to the percentage of each type of song on the iPod.

For example, the probability that the first song will be an 80s song is roughly 15%, since only 15% of the songs on the iPod are 80s songs (80s songs make up 100% - 60% - 25% = 15% of the iPod's music). Similarly, the probability that the first song will be a song picked by one of the kids is roughly 25%, and the probability that the first song will not be one of your songs is roughly 40% (100% - 60% = 40%).

Note that these probabilities are only approximate, since the songs on the iPod are chosen randomly and the actual probabilities may vary slightly.

Answer:

Splitting is where numbers in an equation are broken apart to make it easier to calculate.

Step-by-step explanation:

Splitting is where numbers in an equation are broken apart to make it easier to calculate. Ex:

21 * 7

20 * 7 + 1 * 7 =

140 + 7

147

it is 31. i hope this helped you!

Answer:59

Step-by-step explanation:

No, the slopes are not perpendicular. The slope of 3 is three times larger than the slope of 1/-3, so the two slopes form an angle that is less than 90 degrees.

1. The slope of a line is the ratio of the vertical change to the horizontal change in the line, this is also known as the rise over run.

2. The slope of the first line is 1/-3 and the slope of the second line is 3.

3. To determine if the two slopes are perpendicular, we need to calculate the angle between them.

4. The angle between two slopes is equal to the arctan(slope1/slope2).

5. Using the formula, we can calculate the angle between the two slopes to be 63.43 degrees.

6. Since this angle is less than 90 degrees, the two slopes are not perpendicular.

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The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.

The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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The Eigen Valve in λ = 1, in the transition matrix.

What is matrix?

An arrangement of numbers, factors, symbols, or phrases inside a rectangular table to various amounts of columns and rows is referred to as a matrix, which is the plural form of the word matrix. These rectangular arrays can perform addition, multiplication, as well as transposition operations, among other operations. The entries or numbers of a matrix are its constituent parts. In matrices, the horizontal and vertical entries are made reference to as rows and columns, respectively. There will be m n entries in a matrix to m rows as well as n columns. The capital "A" in this sentence needs to stand for "matrix," Aij.

Announce  a = L are correct answer
To understand the Markov chain- let assume P matrix of regular al transition matrix

P = [tex]\left[\begin{array}{cc}0.3&0.7\\0.7&0.3\\\end{array}\right][/tex]

λ I - A = 0

λ² - 0.6λ - 0.4 =0

λ = 1 or -0.4

Hence The Eigen Valve in λ = 1

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get trolled

Step-by-step explanation:

troll people make them get trolled

Answer:

Step-by-step explanation:

to round a decimal, well it depends if it asks you to round to tenths, thousandths or hundredths sometimes even cents..

If you were to be given 5.5567 and it says to round to the hundredth place then you would look at the two points so 5. 55 and then look at the number beside it which is 6 and because 6 is bigger it would round up so you'd get 5.56 hopefully you understood that even if it's just a little..

Answer: f(5)=9.5

Step-by-step explanation:

If the graph displays f(x)=(-1/2)x+12, then the answer for f(5) would be 9.5.

However, if the graph/line varies from this, (and is not just a straight line or y=mx+b,) the answer will be different as well.

Given the information you gave me though, this is the best I can do. Please check the given graph/equation before inputting the above answer.

The equation of the line is y - 1 = -1/4( x + 5/4).

Here we have to find the equation of the line.

Data given:

Point on the line= (-5/4, 1)

slope(m) = -1/4

The formula of the equation of the line:

y - y1 = m(x - x1)

where m = slope of the line

(x1, y1) = point on the line

Now putting the values in the equation we have:

y - 1 = -1/4( x- (-5/4))

y - 1 = -1/4( x + 5/4)

Therefore the equation of the line is y-1 = -1/4( x + 5/4).

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The comparison of the expressions 4 and fraction 8 over 4 is that they are not equal

From the question, we have the following parameters that can be used in our computation:

4 and fraction 8 over 4

Rewrite the above expression using mathematical operators and mathematical symbols

So, we have the following representation

4 and 8/4

The above expression are integers and fraction expressions

So, we express 8/4 as an integer

This gives

4 and 2

The number 2 is less than the number 4

This means that both numbers are not equal

Hence, the conclusion is not equal

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So the probability that the car will die between 25000 and 30000 miles is   P(X > 25000) = 0.286

Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, generally speaking, 0 indicates the event's impossibility and 1 indicates its certainty.

Here,

Exponential distribution is memory less.

Let  be the event of car number of miles car travels before dying out.

So mean

m = 20000

Now P(X > t)  = [tex]e^{\frac{-t}{m} }[/tex]

Since P( X > [tex]\frac{(x+y)}{X > x}[/tex]) = P(X > y)

=> P(X > 25000) = [tex]e^{\frac{-25000}{20000} }[/tex]

=> P(X > 25000) = [tex]e^{\frac{-5}{4} }[/tex]

=>  P(X > 25000) = 0.286

So the probability that the car will die between 25000 and 30000 miles is   P(X > 25000) = 0.286

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Answer: 11.4m

Step-by-step explanation:

Answer:

12.2 meters

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If 80% of the picture frame is glass, then 100-80 = <<80=20>>20% of the frame is moulding.

If the total area of the frame is 100 square inches, then the area of the moulding is 20 square inches. Answer: 20.

Answer: he gives them 2 balls each and there are 2 balls remaining

Step-by-step explanation: 10 balls divided by 4 teams would be 2.5 though you cannot split a ball in half therefore you would just keep the two spare balls

Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.

The margin of error shows the statistical difference between the actual and projected or estimated results.

The margin of error gives the difference between the upper limit and the lower limit of the sample estimate.

With the margin of error, one establishes a level of confidence or the confidence interval in the sample results.

The total number of cities on planet Purple = 4,500

Random sample size = 350 cities

Average complaints = 3.4

Margin or error = ± 0.49

Upper limit = 1,361.5 [350 x (3.4 + 0.49)]

Lower limit = 1,081.5 [350 x (3.4 - 0.49)]

Thus, using the margin of error, an estimate of feral cat complaints hovers over Option A.

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From the information given, Ashley's age is 27

how to calculate the value:

Let the four siblings' ages be;

Ashley's age is x, x + 1, x + 2, x + 3.

If their combined ages equal 100

We possess

x + x + 1 + x + 2 + x + 3 = 100

assemble similar terms

4x + 6 = 100

4x = 100 - 6

4x = 96

Set the topic to "x"

x = 96/ 4

x = 24

But Ashely is x + 3 = 24 + 3 = 27 years old.

Thus, Ashley's age is 27

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the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

if the pile contains only 20 quarters but at least 40 of each other kind of coin,

So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!

Hence the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!

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The technique most appropriate in introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, for analyzing the data is the Independent Samples T-test for means.

The test examines the means of two independent groups to see if there is statistical evidence that the related population means differ considerably. A parametric test is the Independent Samples t Test.

The Independent Samples t Test is frequently used to test the following variables: Statistical disparities between two groups' means, statistical differences between two interventions' means, and statistical differences between the means of two change scores. When comparing the means of exactly two groups—no more and no less—use an independent samples t-test.

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Answer:

The function f(t) = 0.0037(t + 14.979)^2 can be rewritten as f(t) = 0.0037(t^2 + 29.958t + 222.126). This is a quadratic function that has been stretched vertically by a factor of 0.0037 and shifted 14.979 units to the right and 222.126 units up.

To sketch the graph of this function, we can start with the graph of f(t) = t^2, which is a parabola that opens upwards. The transformation of this function stretches the parabola vertically by a factor of 0.0037, so its maximum and minimum values will be much smaller. The shift of 14.979 units to the right means that the vertex of the parabola will be located 14.979 units to the right of the vertex of the original parabola. The shift of 222.126 units up means that the minimum value of the function will be located 222.126 units above the minimum value of the original parabola.

On the interval 0 ≤ t ≤ 19, the graph of the function will be a parabola that stretches vertically by a factor of 0.0037 and is shifted 14.979 units to the right and 222.126 units up from the graph of f(t) = t^2.

To predict the mortgage debt in the year 2014, we can substitute t = 24 into the function f(t) = 0.0037(t + 14.979)^2. This gives us f(24) = 0.0037(24 + 14.979)^2 = 0.0037(39.979)^2 = 0.0037 * 1595.7441 = 5.90834 trillion dollars. This is the predicted mortgage debt in the year 2014.

Answer:(1x2)+(4divided by 2)

Step-by-step explanation:

Answer:

An=144(3/4)1-n

Step-by-step explanation:

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Step-by-step explanation:

rearrange the equation so that the unknown you are r trying to calculate is on its own on one side of the equation

Using simple multiplication , The number of eggs laid total that night is

3300.

A group of numbers or variables coupled with the operations +, -, *, / or form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Sea turtle lays 110 egg in one night.

number of turtle = 30 .

Total number of eggs laid that night = 30 * 110

=3300

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