MFP Research reported that average apartment rent in the U.S. is $1,083. A random sample of 39 apartments was selected. Using a population standard deviation of $227, what is the probability that the sample mean will be greater than $1,035

Answer:

How to solve 4x 5 2x 15?

4 x + 5 = 2 x + 15. 4x+5=2x+15. Subtract 2x from both sides. Subtract 2x from both sides.

4x+5-2x=15. 4x+5−2x=15. Combine 4x and -2x to get 2x. ...

2x+5=15. 2x+5=15. Subtract 5 from both sides. ...

2x=15-5. 2x=15−5. Subtract 5 from 15 to get 10. ...

2x=10. 2x=10. Divide both sides by 2. ...

x=\frac{10}{2} x=210 Divide 10 by 2 to get 5.

Answer:

x = 11

Step-by-step explanation:

Convert decimals to integers: \(\frac{3x-21}{30} =0.4\)

Multiply both sides of the equation by the common denominator: \(\frac{(3x-21)*30}{30} =0.4*30\)

Reduce the fraction: \(3x-21=0.4*30\)

Calculate the product or quotient:  3x - 21 = 12

Rearrange unknown terms to the left side of the equation: 3x = 12 + 21

Calculate the sum or difference:  3x = 33

Divide both sides of the equation by the coefficient of variable: x = 33 ÷ 3

Calculate the product or quotient: x = 11

Answer:

x = 11

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

Given,

The drama club is selling tickets to their play to raise money for the show's

expenses.

Each student ticket sells for $4 and each adult ticket sells for $8.50.

The auditorium can hold at most 79 people.

The drama club must make no less than $460 from ticket sales to cover

the show's costs.

If 53 student tickets were sold, determine the minimum number of adult

tickets that the drama club must sell in order to meet the show's expenses.

We will divide the total cost by the cost of each item.

Example:

Cost of each item = $3

Total cost = $9

Number of items = $9 / $3 = 2

We have,

Student ticket:

Cost of each ticket = $4

Number of tickets sold = 53

Total sell from student tickets sold = 53 x $4 = $212

Adult ticket:

Cost of each ticket = $8.50

Number of adult tickets sold = M

Total sell of adult tickets sold = M x $8.50

Total number of people the auditorium can hold = 79

Minimum amount to make from ticket sales = $460

The remaining amount that needs to sale from adult tickets:

= $460 - $212

= $248

The number of adult tickets sold:

M = $248 / $8.50 = 29

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

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Answer: the answer is A

Step-by-step explanation:

The event for which the probability can be calculated from the two events given is event B.

Given that:

Mean = 2.5 children per family

Standard deviation = 1.3 children per family

Here, for event B, the sample size is going to take 40.

So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.

So, the mean is the same which is 2.5.

The standard deviation can be calculated as 1.3/√40.

So, event B can be calculated for the probability.

Hence the event is event B.

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The complete question is given below:

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

Event A: Randomly selecting a family from the United States that has 3 or more children.

Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?

Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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Answer:

x=2sqrt2

Step-by-step explanation:

The legs are equal, thus the sides are x, x, and hypotenuse is 4. This means that x^2+x^2=4^2. Thus, 2x^2=16 => x^2=8 => x= sqrt8 => x=2sqrt2

The solution to the equation 3y - 15 = y + 1 is y = 8.

To solve the equation, we start by isolating the variable y. We can do this by simplifying both sides of the equation and combining like terms.

Given equation: 3y - 15 = y + 1

First, let's eliminate the variable on one side of the equation. We can do this by subtracting y from both sides:

3y - y - 15 = y - y + 1

Simplifying further, we have:

2y - 15 = 1

Next, we can isolate the term with the variable by adding 15 to both sides of the equation:

2y - 15 + 15 = 1 + 15

Simplifying further, we have:

2y = 16

Finally, to solve for y, we divide both sides of the equation by 2:

(2y)/2 = 16/2

This simplifies to:

y = 8

Therefore, the solution to the equation 3y - 15 = y + 1 is y = 8.

In summary, by performing algebraic operations to isolate the variable y and simplify the equation, we find that y equals 8. This means that when y is substituted with 8 in the original equation, both sides of the equation will be equal.

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Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

smaller x = -2

larger x = 4

vertex: (1, -9)

Step-by-step explanation:

To find the zeros of the function, set each value in parenthesis to 0 separately.

Smaller x:

(x+2) = 0

x = -2

Larger x:

(x-4) = 0

x = 4

To find the vertex of the parabola you need to find the x value between the zeros.

\(\frac{4 + (-2)}{2}\) = \(\frac{2}{2}\) = 1

Plug 1 in for x in the equation.

f(x) = ((1) + 2)((1) - 4)

f(x) = (3)(-3)

f(x) = -9

When x = 1, f(x) = -9, so the vertex of the parabola is at (1, -9).

The number line is missing, so i have attached it.

Answer:

Point C

Step-by-step explanation:

From calculator, square root of 5 gives us; √5 = 2.236

Now, looking at the number line attached, the point that best represents the value of the square root value of 2.236 will be point C because is lies between 2 and 3 which corresponds to our calculated value of 2.236

The given expression is

(2a^3c^5)^3

Recall the law of exponents which is expressed as

(a^b)^c = a^bc

By applying this rule, we have

2^3a^3*3c^5*3

= 8a^9c^15

The last option is correct

Answer:

Answer:

x = y - 4

Step-by-step explanation:

"Solve for x" means to get the x all by itself on one side of the equation.

We start with:

y = x + 4

Subtract 4 from both sides of the equation.

y - 4 = x

This is the same as

x = y - 4

Now it is "solved for x" because the equation shows what x is equal to.

The particular solution to the given differential equation with the initial conditions y(0) = 12 and y'(0) = 22 is:y(x) = 70e^(9x) - (1397/70)e^(-8x) - (11/70)e^(2x.

To solve the given second-order linear homogeneous differential equation:

y'' - y' - 72y = 11e^(2x)

We can first solve the associated homogeneous equation:

y'' - y' - 72y = 0

The characteristic equation is obtained by assuming a solution of the form y = e^(rx):

r^2 - r - 72 = 0

Factoring the quadratic equation:

(r - 9)(r + 8) = 0

Setting each factor equal to zero:

r - 9 = 0   -->   r = 9
r + 8 = 0   -->   r = -8

The general solution to the homogeneous equation is given by:

y_h(x) = c1e^(9x) + c2e^(-8x)

Next, we find a particular solution for the non-homogeneous equation using the method of undetermined coefficients. Since the right-hand side is in the form of 11e^(2x), we can assume a particular solution of the form y_p(x) = Ae^(2x), where A is a constant to be determined.

Substituting this assumed solution into the non-homogeneous equation, we get:

4Ae^(2x) - 2Ae^(2x) - 72Ae^(2x) = 11e^(2x)

Simplifying, we find:

-70Ae^(2x) = 11e^(2x)

Comparing the coefficients, we have:

-70A = 11

Solving for A, we find A = -11/70.

Therefore, the particular solution is y_p(x) = (-11/70)e^(2x).

The general solution to the non-homogeneous equation is given by:

y(x) = y_h(x) + y_p(x)
    = c1e^(9x) + c2e^(-8x) - (11/70)e^(2x)

To find the values of c1 and c2, we use the initial conditions:

y(0) = 12   -->   c1 + c2 - (11/70) = 12
y'(0) = 22  -->   9c1 - 8c2 + (22/70) = 22

Solving these two equations, we can find the values of c1 and c2.

Upon solving, we find:
c1 = 70
c2 = -1397/70

Therefore, the particular solution to the given differential equation with the initial conditions y(0) = 12 and y'(0) = 22 is:

y(x) = 70e^(9x) - (1397/70)e^(-8x) - (11/70)e^(2x)

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Answer:

x= 15

Step-by-step explanation:

first you subtract 1 then you multiply everything by 5 then  you divide by 2

hope this helps

Answer:

Cost Price = $1800

Step-by-step explanation:

Let cost price (CP) be x

Selling price(SP) = 1998

Profit = Selling price - cost price = 1998 - x

  \(profit \% = \frac{SP - CP}{CP}\)

       \(\frac{11}{100} = \frac{1998-x}{x}\)

     \(0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800\)

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

D

Step-by-step explanation:

The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

The growth rate for the linear function y=mx+b will be m or slope. the correct option is A.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

The equation of a line is given as below:-

y = mx + c

Where m is the slope and c is the y-intercept.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line actually determines the rate of change of the function.

Therefore, the growth rate for the linear function y=mx+b will be m or slope. the correct option is A.

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Answer:

the answer is A

Step-by-step explanation:

y-4 = 3 (x-1)

Answer:

(-1,0) and (0, 4)

Step-by-step explanation:

The x and y intercept of a function (say the x intercept), is when y = 0 and vice versa.

The x intercept in this function is when y = 0

Thus,

4x-0=-4

4x = -4

x = -1.

So the x- intercept point = (-1, 0)

Similarly,

4(0)-y= -4

(x is equated to 0 to find the y - intercept)

-y = -4

∴ y = 4

y- intercept point = (0, 4)

Hope this helps! :)

When Gracie distributes her carrots equally among the 5 bunnies, each bunny gets 7,878 whole carrots, and 3,939 whole carrots remain without being given to a bunny. These figures are whole numbers.According to the statement, Gracie has 5 pet bunnies that love to eat whole carrots. Gracie has 3,939 carrots to feed the bunnies, and she will use as many carrots as she can and give each bunny the same number.

To calculate the number of carrots each bunny will get:Total number of whole carrots ÷ Total number of bunnies = Number of whole carrots each bunny gets Gracie distributes the 3,939 carrots equally among the 5 bunnies, with each bunny getting 7,878 carrots. This is illustrated in the calculation below:3,939 ÷ 5 = 7,878Hence, the number of whole carrots each bunny gets is 7,878.

When it comes to the number of carrots that remain without being given to a bunny, we need to calculate it using the following formula:Total number of whole carrots − (Number of whole carrots each bunny gets × Total number of bunnies) = Number of whole carrots that remain without being given to a bunnyUsing the figures from the above calculations, the computation will be as follows:3,939 − (7,878 × 5) = 3,939 − 39,390 = -35,451. Therefore, the number of whole carrots that remain without being given to a bunny is -35,451. However, since the answer must be a whole number, we can round this up to 0 carrots. This implies that all of the carrots were given to the bunnies.

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