You roll two dice, one red and one green. Losing combinations are doubles (both dice showing the same number) and outcomes in which the green die shows an odd number and the red die shows an even number. The other combinations are winning ones. E is the event that you roll a winning combination.

Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

The probability that someone who tests negative does not have the disease is 0.8451

Given that,

The information shows the outcomes of a test for a specific illness. Assume a member of the group is chosen at random.

From given data table,

N = 144+ 22 + 14+ 120 = 300

n(not disease) = 22 + 120 = 142

n( negative And not disease) = 120

P( Not disease) = 142/300

P( Negative and not disease) = 120/300

Therefore,

P(Negative/ not ..disease) =[tex]\frac{P(Negative and not,.disease)}{P(Not ,.disease)}[/tex]

                                                                 =[tex]\frac{120/300}{142/300}[/tex]

                                                                  =[tex]\frac{120}{142}[/tex]

                                                                   =0.8451

Hence, The probability approximately is 0.8451

Hence, the probability that someone who tests negative does not have the disease is 0.8451

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Answer:

Step-by-step explanation:

c=45(2c−)=2(c+11)

We can't solve that type of equation or it may contain an error

is your problem in complete?

2n(n−1)!  ways n couples around a circular table such that no couple sits next to each other.

What is combination?

Depends on how you consider two ways as different ways.

In case you still feel confused, take 2 for example. We have plan AaBb, AabB, aABb and aAbB

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Answer:

8

Step-by-step explanation:

2 : 1/4

2 x 4/1

2 x 4

8

Step-by-step explanation:

remember, an exponent n just means that the base is multiplied by itself n times.

so, e.g.

a³ = a×a×a = (a×a)×a

a⁶ = a×a×a×a×a×a = (a×a)×(a×a)×(a×a)

as you can see, any even exponent can be written as products of squares.

and any odd (uneven) exponent can be written as product of squares multiplied by one base.

a square of a real number is always positive. therefore, an even exponent of a real number is always positive.

and an odd exponent has the sign of the base (as the result of these multiplications is the product of the squares, that are always positive and one instant of the base, and +×+ = +, +×- = -).

and 1^n = 1

no matter how often I multiply 1 by 1, I get 1 as result.

also : -×- = +

1.

f(x) = x^n, n is even

f(1) = 1^n = (1×1)×(1×1)×...×(1×1) = 1×1×1×...×1 = 1

f(-1) = (-1)^n = (-1×-1)×(-1×-1)×...×(-1×-1) = 1×1×1×...×1 = 1

2.

g(x) = x^n, n is odd

g(1) = (1×1)×(1×1)×...(1×1)×1 = 1×1×1×...×1×1 = 1

g(-1) = (-1×-1)×...×(-1×-1)×-1 = 1×1×...×1×-1 = -1

A regression model could be used to estimate the wage gender gap by comparing the earnings of men and women.

Regression is a statistical technique used in the fields of finance, investing, and other areas that aims to assess the nature and strength of the relationship between one dependent variable and another. In this case, the dependent variable would be the gender gap in wages and the independent variable would be the earnings of men and women. The regression model would be used to calculate the difference between the two variables, which would indicate the wage gender gap.

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The probability of the magazine is a sports magazine is 0.065.

What do you mean by probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

According to data in the given question,

We have the given information:

The number of sports magazines = 25

The number of news magazines = 11

The number of travel magazines = 2

Now, we will calculate the probability of the magazine is a sports magazine,

Total number of magazine = 25+11+2 = 38

To find the probability that the random selected magazine is a sports magazine divide the amount of sports magazines by the total amount of magazines:

P( sports magazine ) = Number of sports magazine/Total number of magazine

[tex]=\frac{25}{38}\\ =0.065[/tex]

Therefore, the required probability is 0.065.

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If resources are unlimited, population will increase exponentially. A logistic growth happens as those resources are less readily available.

Exponential Growth:

Logistic Growth:

Thus, there are several key distinctions between populations growing logistically and those growing exponentially.

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The solution set is {x | x < [tex]\frac{22}{5}[/tex]}.of the given evaluation.

The solution set of an equation is, however defined as the set of all solutions that satisfy the equation and since that set has no members the solution set is empty.

Given:  [tex]\frac{5x}{11}[/tex][tex]< 2[/tex]

         = [tex]5x < 22[/tex]

         = [tex]x < \frac{22}{5}[/tex]

Hence, the correct solution set is {x | x < [tex]\frac{22}{5}[/tex]}.

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The required solution of the given inequality is given as x > -3.

Given that,
To determine the solution of the given inequality, 2.4x−6>−13.2.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
2.4x−6>−13.2.
2.4x > -7
x > -3

Thus, the required solution of the given inequality is given as x > -3.

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Answer:

r ≠ E – V/r

Step-by-step explanation:

E ≠ V + Ir

E – V ≠ Ir

divide both sides by I

E – V/I ≠ r

r ≠ E – V/r

i hope i helped

A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.

The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Here,

area of sector=θ/360°*πr²

θ=5/11*180/π

θ=26.04 degree

area=15 m²

15=26.04/360*3.14*r²

15=0.227r²

r²=66.08 m²

r=8.13 m

The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.

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The original price of the swimming pool is $1030.

From the information, the swimming pool is on sale for $875.50 and the sale price is discounted 15% from the original price.

Let the original price be x.

This will be illustrated as:

(x - 15% × x) = 875.50

x - 0.15x = 875.50

0.85x = 875.50

Divide

x = 875.50 / 0.85

x = 1030

The original price is $1030.

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Grandfather, two fathers and two sons purchased a total of three tickets.

What is a Mathmatical riddle?

Children must convert a few lines from a real-life incident into the appropriate set of mathematical equations in order to solve a math mystery. Mathematical riddles can be cracked by kids utilizing logic, inventive problem-solving, and common sense.

All three tickets:

Grandfather and His Son's Father

Father and his father's son.

Son.

Two fathers and two sons, then.

As a result, a total of 3 tickets were purchased by a grandfather, two fathers and two sons.

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Answer: V=πr2h

3

Step-by-step explanation: Your spelling is a bit off

Answer:  g(x) = -x^2 -3

Step-by-step explanation:

We know that the y-intercept is -3, so we can eliminate the first 2 answers. For the last two answers, c is wrong because it is a negative slope and if we square root it, it will become a positive slope our graph slope is not positive, so the answer is d.

Using an exponential decay equation, the function that models the balance is y = 1800(1 + 0.081)⁻ˣ at a rate of 8.1%

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

To solve this problem, we need to find the rate at which the payment is calculated on.

The general equation for an exponential decay is given as

A = P(1 + r)⁻ˣ

Substituting the values and solving for r

1540 = 1800(1 + r)⁻²

r = 0.081

r = 8.1%

Comparing the third month to ascertain values

1410 = 1800(1 + r)⁻³

r = 0.081

r = 8.1%

The rate which the payment is calculated is 8.1%

An exponential equation that models the balance after y months will be

y = 1800(1 + 0.081)⁻ˣ

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The measure of the angle I= is 50 degree

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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Answer:

The answer is -x^2-4x

Step-by-step explanation:

Random variable

a. E (X+ Y) = 14.10

   E|(X – Y)| = 5.1

b. E[max(X ,Y )] = 9.60

   E[min(x, y)] = 4.5

Conversely, once Y=y is observed, we would more likely be interested in the quantity E(X∣Y=y)=ρy which is a scalar.

Maybe this seems like needless complication, but regarding E(X∣Y) as a random variable in its own right is what makes things like the tower-law E(X)=E[E(X∣Y)] make sense - the thing on the inside of the braces is random, so we can ask what its expectation is, whereas there is nothing random about E(X∣Y=y).

a. E (X+ Y)

=∑∑( x +y)p(x ,y)

= (0+0)(0+2) + (0 + 5)(.06) + … + (10 + 15)(.01)

= 14.10

E|(X – Y)| = ∑∑ |x – y| p(x,y)

= |(0-0)|(0.02) + |(0-5)|(0.06) + ……+ |(10-15)|(0.01)

= 5.1

b.

E[max(X ,Y )] = ∑∑max(x+y).p (x ,y)

= (0)(.02) + (5)(.06) +…+(15)(.01)

= 9.60

E[min(x, y)] = ∑∑ min (x,y) p(x,y)

= 0(0.02) + 0(0.06) + ……+ 10(0.14) + 10(0.01)

= 4.5

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The interest rate is -42.3%, where the negative sign indicates depreciation.

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the investment of $1800 in the stock market is $278 in two years.

Therefore, the amount depreciated is:

278 - 1800

= -1522

Since 1522 is depreciated in 2 years, the amount depreciated in one year is:
1522/2

= 761

The rate at which the amount depreciated is:

(761/1800)×100%

= 42.3%

Hence, the interest rate is -42.3%, where the negative sign indicates depreciation.

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If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

F = P(1+rt), formula for simple rate of interest

Here,

=> Future value is F

=> Present value is P

=> Rate is R

=> Time is t

Substituting x for r

And, n for t

Also, 10,000 in for P

F = 10,000(1+xn)

The formula tells us principal + interest,

F = 10,000(xn)

Now, to get the x into terms of a percentage,

F = 10,000(n * x/100)

F = 10,000n(x/100)

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Answer: The correct answer is h=a/4b^5

Step-by-step explanation:

Solve for h

a=4b^5h

Flip the equation

4b^5h=a

Divide both sides by 4b^5

4b^5h/4b^5 = a/4b^5

h=a/4b^5

The required maximum volume of the box would be 85184 cube units.

The surface area of a box is the total area of all of the box's faces. For a box with a square base and no top, the surface area is equal to the sum of the areas of the four sides and the bottom.

To find the maximum volume of such a box, we can first find the length of one side of the square base. We can do this by dividing the given surface area by the number of sides of the box.

In this case, the box has 4 sides plus the bottom, so the length of one side is 220 / 5 = 44.

We can now use the length of one side to find the maximum volume of the box. The volume of a box with a square base and no top is equal to the length of one side cubed.

The length of one side is 44, so the maximum volume of the box is :

⇒ 44 × 44 × 44  = 85184.

Therefore, the maximum volume of the box is 85184 cube units.

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Answer:

Below

Step-by-step explanation:

six possible rolls    1  2  3  4  5  6     only two are > 4     ( 5 and 6)

  2 out of 6 = 1/3 chance

Answer: A one out of six chance for the number four to be rolled.

Step-by-step explanation: