a gym membership is advertised to cost 630 per year . what is the cost per mouth of the gym menbership

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Answer:

\(t^{14}\) +  3  +  − \(\frac{3j}{7}\)  + 7 + -\(\frac{6j}{7}\)

Step-by-step explanation:

Answer:

first i need what operation are you using for example algebra, alebraically, grahphing , quadratic etc.

Step-by-step explanation:

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.The prime numbers are:5, 7, 11, 13Product of two of the prime numbers are:35, 55, 65, 77, 85, 91, 115, 143, 165, 385

Product of three of the prime numbers is:385 Product of all the prime numbers is: 5005There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once. Prime numbers are numbers that are only divisible by 1 and itself. 5, 7, 11, and 13 are prime numbers.

The question is asking to find the number of positive integers that can be expressed as a product of two or more of these prime numbers without including the same prime factor more than once. The products of two prime numbers are: 5 x 7 = 35, 5 x 11 = 55, 5 x 13 = 65, 7 x 11 = 77, 7 x 13 = 91, 11 x 13 = 143. There are six of these products. The products of three prime numbers is 5 x 7 x 11 = 385. There is only one of this product. There are fifteen possible positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.

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Answer:

48

Step-by-step explanation:

\(perimeter = a + b + c \\ = 12 + 20 + 16 \\ = 48\)

Hope this is not confusing.

The total number of tickets that Joe win at the park is 240 if the fraction of 3/ is used.

Given that,

Joe had been saving up all of his tickets from his day at the amusement park.

Let x be the total number of tickets he saved.

He used a fraction of  ⅗ of them on a stuffed bear for his sister.

x - (3/5 x) = 96

2/5 x = 96

Multiplying both sides by 5/2, we get,

x = 96 × 5/2

x = 240

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Answer:

Yes, it's multiplied/divided by 3. I Don't know  what a SS AA SAS is.

Step-by-step explanation:

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is 47.48%. b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is or 42.07%.

To calculate the probabilities in this scenario, we will use the properties of the normal distribution and the central limit theorem. The central limit theorem states that for a large sample size, the distribution of the sample mean approaches a normal distribution, even if the underlying population distribution is not normal. In both cases, we can use the z-score formula to find the probabilities.

a. For a sample of 10 people:

The mean of the sample mean is equal to the population mean, which is 85. The standard deviation of the sample mean (also known as the standard error) is given by the population standard deviation divided by the square root of the sample size: 25/sqrt(10) ≈ 7.9057.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 7.9057 ≈ -0.0634

Using a standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.0634 is approximately 0.4748, or 47.48%.

b. For a sample of 100 people:

Similarly, the mean of the sample mean is still 85, but the standard deviation of the sample mean (standard error) is now 25/sqrt(100) = 2.5.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 2.5 = -0.2

Using the standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.2 is approximately 0.4207, or 42.07%.

Therefore:

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is approximately 0.4748, or 47.48%.

b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is approximately 0.4207, or 42.07%.

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-243

Step-by-step explanation:

số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.

vd: 1. -3 = -3 ;   -3 .-3= 9 ;..... 81 . -3= -243

Answer:

all once will product the term by mines 3

so the final will bt -3 *81 = -243

To determine if a function is independent, we need to analyze whether one variable can be expressed as a function of the other variable(s).

In the given function f(x,y) = 4(x + xy), let's see if either x or y can be isolated.

f(x,y) = 4(x + xy)
f(x,y) = 4x + 4xy

Now, let's try to isolate y:

f(x,y) - 4x = 4xy
(f(x,y) - 4x) / 4x = y

From the above equation, we can see that y is expressed as a function of x and f(x,y). Since y depends on both x and f(x,y), the variables x and y are not independent in this function.

In conclusion, for the given function f(x,y) = 4(x + xy), x and y are not independent variables. The relationship between x and y is dependent, as the value of y relies on both x and f(x,y).

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Answer: What the pic tell you what upload a new question with a pic and ill help

Step-by-step explanation:

Answer:

100mi

Step-by-step explanation:

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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Answer:

the slop is 1

Step-by-step explanation:

hop that help

Option A is correct answer

Answer:

option A i believe is correct

Step-by-step explanation:

 hope that helps you :)

We have shown that if IJ ⊆ P, then either I ⊆ P or J ⊆ P. Hence, the statement is proven, for I and J be ideals and P a prime ideal of R. Since P is prime, so we have the following inequality:(I intersection P) (J intersection P) ⊆ P²

Now, since P is prime so P² is a prime ideal too, thus one of the ideals I intersection P and J intersection P must be contained in P.

If I intersection P ⊆ P, then I ⊆ P. If J intersection P ⊆ P, then J ⊆ P. Therefore, I ⊆ P or J ⊆ P.

To prove the statement, let's assume that I and J are ideals of a ring R, and P is a prime ideal of R. We want to show that if IJ ⊆ P, then either I ⊆ P or J ⊆ P.

Suppose that IJ ⊆ P, We will proceed by contradiction.

Assume that I is not contained in P, which means there exists an element a ∈ I such that a ∉ P.

Since P is a prime ideal, it is closed under multiplication, so aJ ⊆ PJ ⊆ P.

Now consider the product (aJ)(a⁻¹). Since a ∉ P, a⁻¹ ∈ R\P (the complement of P in R).

Therefore, (aJ)(a⁻¹) ⊆ P(a⁻¹), and we have:

aJ ⊆ P(a⁻¹)

Multiplying both sides by a, we get:

a(aJ) ⊆ a(P(a⁻¹))

a²J ⊆ Pa⁻¹

Since J is an ideal, a²J ⊆ aJ ⊆ P(a⁻¹), and by induction,

we have aⁿJ ⊆ Pa⁻ⁿ for any positive integer n.

Consider the element aⁿ ∈ aⁿJ.

Since aⁿJ ⊆ Pa⁻ⁿ, aⁿ ∈ Pa⁻ⁿ.

This implies that aⁿ is an element of the prime ideal P for any positive integer n.

Since R is a ring, there exists a positive integer m such that aᵐ = aᵐ⁺¹ for some m⁺¹ > m.

This means that aᵐ (a - 1) = 0.

Since aᵐ ∈ P and P is a prime ideal, either a or (a - 1) must be in P.

If a is in P, then I ⊆ P, which is one of the conditions we want to prove.

If (a - 1) is in P, then consider the element 1 ∈ R. Since (a - 1) is in P, we have 1 - (a - 1) = a ∈ P.

This implies J ⊆ P, which is the other condition we want to prove.

In either case, we have shown that if IJ ⊆ P, then either I ⊆ P or J ⊆ P. Hence, the statement is proven.

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Let's suppose a, b, and c are positive integers and represent the sides of a right triangle so that c is the hypotenuse of the triangle. It is well-known that a²+b²=c². Let's demonstrate that {na, nb, nc} is a Pythagorean triple for any real number n.

If we multiply the three sides by the same number n, we obtain n²a²+n²b²=n²c²,

which simplifies to a²+b²=c²/n². Since a, b, and c are positive integers, we must conclude that c²/n² is also a perfect square. As a result, {na, nb, nc} is a Pythagorean triple. The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides in a right triangle. Pythagoras' Theorem can be used to express this relationship.

It states that a²+b²=c², where c is the length of the hypotenuse of a right triangle, and a and b are the lengths of the other two sides. This theorem is fundamental in geometry and has numerous applications, including the solution of the Pythagorean equation. In this particular problem, we want to show that, for any real number n, {na, nb, nc} is also a Pythagorean triple, where a, b, and c are positive integers that satisfy a²+b²=c². We can accomplish this by demonstrating that {na, nb, nc} satisfies the Pythagorean Theorem.

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Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

Answer:

8ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

True................

Answer:

True

Step-by-step explanation:

Express  the following in the form kx^n where k and n are constants.

(a) y=x^3

(b)y=3x^-1

(c) y=x^3/27

To express each of the following in the form kx^n where k and n are constants.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

y=1/27x^3

express each of the following in the form kx^n where k and n are constants.

(a) y^1/3

Let y^1/3=x

by cubing both sides we get,

y=x^3

The equation in the form of  kx^n

where,

k=1

n=3

(b) 3y^-1

Let 3y^-1=x

3/y=x

y=3/x

By simplify

y=3x^-1

The equation in the form of  kx^n

where,

k=3

n=-1

(c) √(27y)

Let (27y)^1/3=x

by cubing both sides we get,

27y=x^3

y=x^3/27

The equation in the form of  kx^n

where,

k=1/27

n=3

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Answer: 23

Step-by-step explanation:On the scales below, each shape has a different weight. Scale A is balanced, which means that the sum of the weights on the left is equivalent to the sum of the weights on the right. What shape must be added to the right side of Scale B in order to balance it? Explain how you know.

The shape that must be added to the right side of Scale B in order to balance it is a square.

We can see that the scale on the left side of Scale A has a circle and a triangle, while the scale on the right side has a square and a triangle. Since the scale is balanced, we know that the circle and the square weigh the same.

We can also see that the scale on the left side of Scale B has a circle and a square, while the scale on the right side has a triangle. Since the scale is not balanced, we know that the circle and the square do not weigh the same.

The only way to balance Scale B is to add a shape that weighs the same as the circle. Since we know that the circle and the square weigh the same, we can add a square to the right side of Scale B to balance it.

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The equation of the surface of revolution generated by revolving x = (1/z)^z about the z-axis is x = e^(-y).

To find the equation of the surface of revolution, we start with the parametric equation x = (1/z)^z, y = t, z = t. We eliminate the parameter t by substituting z for t in the equation x = (1/z)^z. Simplifying further, we obtain x = e^(-y).

This equation represents the surface of revolution generated by revolving the curve x = (1/z)^z about the z-axis. The exponentiation by e^(-y) signifies that the x-coordinate changes exponentially as the y-coordinate varies.

Therefore, as we revolve the curve around the z-axis, it forms a surface with an exponential decay in the x-direction. Hence, the equation x = e^(-y) describes the surface of revolution.

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The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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Answer:

It’s depends on the sign.

Step-by-step explanation:

For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.

Answer:

"Like Terms" means that you can add or subtract two terms. For instance, you know that you can add and get 5. You were able to add these two 'terms' ( the '2' and the '3') because they are both numbers! However, you might also know that you cannot 'combine' 2 and x. Since 2 is a number and 'x' is not, they are not like terms.

Basically if its two numbers that are the same, For example (-2x and -4x) and have with the same variables you would add them. If they are like this (5x and -2x) you would subtract them because its a negative and positive number and get ( 3x).

Hope i helped!!!!