Describe a real world situation that uses the variable x the expression 1/2x when the value of x is not known.

Answer:

(c) Below par

Step-by-step explanation:

Ratio at which stock is bought = 211/2

                                                   = 105.5

Therefore, the par value = 105.5

Recent ratio of stock = 203/8

                                   = 25.375

Value of stock today = 25.375

Since the ratio is decreased Hence, the value of stock is below par value.

Answer:

y= -2 and x= 2.

Step-by-step explanation:

(y=-3x+4)4

(y=4x-10)3

make the x's cancel out.

you get 7y=-14.

y=-2.

-2=-3x+4

x=2

Final answer:

The property of real numbers represented by the equation -2(x+11) = -2x-22 is the Distributive Property, which defines that a(b + c) = ab + ac handling multiplication and addition/subtraction.

Explanation:

The property of real numbers illustrated by this given equation -2(x+11)=-2x-22 is known as the Distributive Property. The Distributive Property can be defined as a(b + c) = ab + ac.

Applying this property to the equation, -2 is multiplied by each term inside the parentheses (x and 11), resulting in -2x-22, which matches the right side of the original equation.

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The value of x is, -3.

What does the X in a function mean?

• A function defines one variable in terms of another.
• The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on.
• A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

What is the value for X?

• Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division.
• To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
• Simplify the values to find the result.

How are the functions y x?

• The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ).
• If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

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Answer:

-3

Step-by-step explanation:

Edu 2020

Answer:

Seee answer below.

Step-by-step explanation:

a. k = −1

If K=-1 the equation gets this form:

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

There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.

b. k = 1

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

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

c. k = 2

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

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

d. k = 4

(x^2/4) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

e. k = 10

(x^2/10) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

f. k = 25

(x^2/25) -y^2=1

This is the natural form of the equation of an hyperbola. Attached you can find the graph.

g. Describe what happens to the graph of

x2 / k − y2 = 1 as k → [infinity].

As K is increasing the value of X will be tending to 0. So the equation for this will be:

− y^2 = 1.The solution for this is in the domain of the imaginary numbers.

Answer:

The probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

∴ P(X<10)=0.4364

Step-by-step explanation:

Given that the total number of sample pills is 200

ie., n=200

To find  the probability that fewer than 10 in a sample of 200 pills will be ineffective:

Let us assume it success if a pill is ineffective.

The probability of success in each trial is

∴ p=0.05

We know that the total probability is p+q=1

The probability of failure is q

q=1-p

q=1-0.05

∴ q=0.95

Let X be the random variable of the number of ineffective pills in a sample of 200 pills.

Hence X has Binomial distribution with parameter n=200 and p=0.05

The formula for Mean in Binomial distribution is

Substitute the values in the above formula we get

∴

The formula for Standard deviation in Binomial distribution is

Substitute the values in the above formula we get

∴

Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.

That is to find the area to the left of x=9.5

The formula is

Substitute the values in the formula we get

∴

Now P(X<10)=P(Z<-0.16)

=0.4364

∴ P(X<10)=0.4364

Therefore the probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

Final answer:

The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.

Explanation:

Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:

P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:

n = sample size = 200,

k = number of ineffective pills,

p = probability of a pill being ineffective = 0.05.

Calculating this probability using the formula, we get:

P(X < 10) ≈ 0.817, or 81.7%.

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