write an Equation that represents the lines

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

To test if there has been a significant change in the proportions of majors between 1996 and 1997, we will conduct a hypothesis test using the 5% significance level.

We can perform a hypothesis test for the proportions to assess if there has been a significant change. Let's set up the null and alternative hypotheses: Null hypothesis (H0): There is no significant change in the proportions of majors between 1996 and 1997. Alternative hypothesis (HA): There is a significant change in the proportions of majors between 1996 and 1997.

We will perform a chi-square test of independence using the observed frequencies of majors in the 1996 and 1997 samples. The test will determine if the observed frequencies significantly differ from the expected frequencies under the assumption of no change. By constructing a contingency table with the observed frequencies for business, engineering, and other majors in both years, we can calculate the expected frequencies based on the proportions in the 1996 sample. With these values, we can compute the chi-square test statistic.

Comparing the obtained chi-square test statistic to the critical value at a 5% significance level with appropriate degrees of freedom, we can determine if we reject or fail to reject the null hypothesis. Rejecting the null hypothesis would indicate a significant change in the proportions of majors between 1996 and 1997. Performing the chi-square test will provide statistical evidence to support or reject the claim of a significant change in major proportions between the two years at the specified significance level.

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A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15

Therefore, your answer is: x = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given :

#1 : Combine like terms on each side.

#2 : Subtract x from each side.

#3) Subtract 70 from each side.

#4) Divide 4 from each side.

Solution : x = -15

Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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When the parachutist's rate during a free fall reaches 45 meters per second, this rate in feet per second is 148.5 ft/s. Total 2227.5 feet the parachutist will fall during 15 seconds of free fall.

If a moving body's speed remains constant irrespective of position and time, we use the following equation to relate distance, time, and speed, v = d/t

where, v--> speed

d --> distance

t --> time

We have parachutist's rate during a free fall = 45 meters per second

Using the unit conversion factor, the rate in feet per second is v = 45 m/s

1 meter = 3.3 feet

45 m/s = 45 × 3.3 feet/s

= 148.5 ft/s

Thus, the speed in feet per second is 148.5 ft/s. Now, rate = 148.5 ft/s

let the parachutist will fall during 15 seconds of free fall be 'x feet' . Using the speed formula, rate = distance/time

here, t = 15 seconds, distance = x feet

=> 148.5 ft/s = x/15

=> x = 15× 148.5 ft/s = 2227.5 feet

Hence, required value of x is 2227.5 feet.

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Answer:

z=4

Step-by-step explanation:

If z=x/y and x=10 and y=2.5 then,

z=10/2.5

10/2.5=4

Answer:

4

Step-by-step explanation:

Step 1:

z = x/y

Step 2:

z = 10/2.5

Answer:

z = 4

Hope This Helps :)

Answer:

The sum of all four angles of a quadrilateral is 360 degrees.

Let's denote the two unknown angles as 4x and 9x, where x is a constant.

We can set up an equation using the given information:

291 + 17 + 4x + 9x = 360

Simplifying the equation:

308 + 13x = 360

13x = 52

x = 4

So, the two unknown angles are:

4x = 16 degrees

9x = 36 degrees

Therefore, the measures of the two angles in a ratio of 4:9 are 16° and 36°.

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

To illustrate all possible outcomes of tossing a dime 3 times, we can create a tree diagram. We'll represent a Head as "H" and a Tail as "T".

Here's the tree diagram:

         H

      /     \

  H       T

 /  \    /  \

H    T  H    T

         T

      /     \

  H       T

 /  \    /  \

H    T  H    T

Using the tree diagram, we can write out the sample space as a set of all possible outcomes:

Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

Answer:

Do you have a picture? Or any of the measurements?

Answer:

Henry needs 15 pints of paint altogether

Step-by-step explanation:

If Henry uses 2 pints of red paint and 3 pints of yellow paint to get a specific color, and he now uses a total of 9 pints of yellow, then

3 x 3 = 9 (yellow)

We know that what you do on one side, you do on the other.

2 x 3 = 6 (red)

You add

9 + 6 = 15. (Red and yellow paint)

Which will lead you to the conclusion of 15 pints.

Answer:

Henry will need 15 pints altogether.

Step-by-step explanation:

Add: 6 + 9 = 15 pints

The 99% confidence interval for the population mean is (11.10, 15.50).

The formula for the confidence interval for the population mean using the t-distribution is:

\(\bar{x}\) ± tα/2(s/√n)

where \(\bar{x}\) is the sample mean, s is the sample standard deviation, n is the sample size, tα/2 is the t-value with α/2 degrees of freedom, and α is the level of significance.

Given c=0.99, we can find α as:

α = 1 - c = 1 - 0.99 = 0.01

Since the sample size is small (n=6), we need to use the t-distribution. The degrees of freedom for this problem is n-1=5. Using a t-table or a calculator, we find the t-value with 0.005 degrees of freedom to be 4.032.

Plugging in the values, we get:

13.3 ± 4.032(2/√6)

Simplifying, we get:

(11.10, 15.50)

Therefore, the 99% confidence interval for the population mean is (11.10, 15.50).

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To solve the investment problem and determine how the retiree should invest her money to maximize expected earnings, we can set up a linear programming problem using the given data.

Let's define the decision variables as follows:

xM: Amount invested in municipal bonds (in dollars)

xR: Amount invested in real estate (in dollars)

xβ: Amount invested in blue chip stocks (in dollars)

xJ: Amount invested in junk bonds (in dollars)

xG: Amount invested in grain futures (in dollars)

The objective is to maximize expected earnings, which can be represented as:

0.06xM + 0.08xR + 0.1xβ + 0.12xJ + 0.15xG

Subject to the following constraints:

xM + xR + xβ + xJ + xG ≤ 250,000 (total investment cannot exceed $250,000)

xR / 100,000 + 1.5xβ / 100,000 + 2.5xJ / 100,000 + 5xG / 100,000 ≤ 5 (total management hours per week cannot exceed 5)

xM, xR, xβ, xJ, xG ≥ 0 (investment amounts cannot be negative)

Using Excel or any other linear programming software, we can input these constraints and the objective function to obtain the optimal solution. However, based on the provided information from Maple, the solution is as follows:

xM = $27,500

xR = $125,000

xβ = 0

xJ = 0

xG = 0

This means that the retiree should invest $27,500 in municipal bonds and $125,000 in real estate to maximize her expected earnings. No investment should be made in blue chip stocks, junk bonds, or grain futures according to this solution.

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Answer:

ab=48

Step-by-step explanation:

96/2=48

We will convert between volume units by multiplication or division process depending on the standard metric units.

What is unit conversion?

Unit conversion is done either by multiplication or division process between numerical values. There are some standard metric units. By following the standard, we can convert one unit to another. As example we have a box that is 2 square feet area, now we want to know the area in inches. So, we will multiply it by 144 to convert in square inches.

How do we convert between volume units?

We convert between volume units either by multiplication or division process depending on the standard unit. If we find a volume in liter and we can convert it in cubic meter by multiplying the number by 0.001. Assume, we measured a volume in cubic feet, but someone want to know this volume in cubic meter that time we divide this value by 35.32 to convert in required unit.

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Answer:

318

Step-by-step explanation:

just to 2120 x .15

I disagree with Raina. An example of a no solution is when you can't arrive at an answer after solving an equation or when you end up with a statement that is false.

When we solve an equation, we often solve to determine the value of a variable.

For instance, we would normally end up with a statement stating that a variable equals a numerical value. This value would make the equation true if we substitute it into the equation.

However, if we end up with untrue statements such as:

0 = 1,

12 = 2, etc.

These statements are obviously false. They are not true. We can then state that the equation is an example of a no solution.

If Raina solved an equation and got n = -9, that is the solution of the equation. The solution of the equation is not an example of a no solution.

An example of a no solution equation is shown below:

\(2x + 5 = 2x - 4\\2x - 2x = -5 - 4\\0 = -9\)

Therefore, Raina is wrong for stating that this solution is an example of a no solution. The equation as an answer.

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If the coefficient of determination is a  positive value, then the coefficient of correlation can be either negative or positive.

What is coefficient of correlation & coefficient of determination ?

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. it has possible values between -1 to 1. it is denoted by 'r'.

The coefficient of determination is a statistic that describes the amount of variability in one component that can be explained by its relationship to another. This association of "goodness of fit" is expressed as a number between 0.0 and 1.0. It is represented by the symbol 'r2'.

The square of the coefficient of determination is the coefficient of correlation.

\(r^{2} = positive \\where\)\(r\)  = ±

If the coefficient of determination is a positive value, then the coefficient of correlation can be either negative or positive.

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The domain of the function is the set of all positive integers, since the sequence starts with the first term and continues indefinitely. Therefore, Rosita should use the domain of positive integers for her function to generate the given sequence.

An explicit function is a mathematical expression that directly relates an independent variable to a dependent variable. In the case of Rosita's function, t(n) represents the nth term in the geometric sequence and is dependent on the value of n, the term number.

The explicit function that Rosita came up with is t(n)=160(1/2)^n, which can be simplified to t(n)=80(1/2)^(n-1). This function represents the relationship between the term number and the corresponding value in the sequence.

To determine the domain of the function, we need to consider the values of n that generate the given sequence. Looking at the sequence, we can see that the first term is 80 and each subsequent term is half of the previous term. This means that the sequence is generated by multiplying 80 by (1/2) raised to a power. We can write this as:

80(1/2)^(n-1)

where n is the term number. The domain of the function is the set of all positive integers, since the sequence starts with the first term and continues indefinitely. Therefore, Rosita should use the domain of positive integers for her function to generate the given sequence.

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Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer: 9:25 ?

Step-by-step explanation:

4.5 × 2 = 9

12.5 × 2 = 25

4.5:12.5 ratio simplified is 9:25

there are two 4's in the number 49413, one represents 400, the other 40000.

The loan rate assumptions are:

1) Assumption that the family has good credit

2) Assumption that the family is borrowing for a large purchase

3) Assumption that the loan is secured

Savings Plan Rate Assumptions are:

1) Assumption that the family has a significant amount of disposable income

2) Assumption that the family has a long investment horizon

3) Assumption that the family has a high tolerance for risk

There are a few assumptions that may not necessarily be valid for a typical family regarding both the loan rate and savings plan rate. Some of these assumptions include:

a. Assumption that the family has good credit: Most loan rate calculators assume that the borrower has good credit.

b. Assumption that the family is borrowing for a large purchase: Many loan rate calculators assume that the family is borrowing for a large purchase, such as a house or a car.

c. Assumption that the loan is secured: Many loan rate calculators assume that the loan is secured by collateral, such as a house or a car.

a. Assumption that the family has a significant amount of disposable income: Many savings plan calculators assume that the family has a significant amount of disposable income to invest in a savings plan.

b. Assumption that the family has a long investment horizon: Many savings plan calculators assume that the family has a long investment horizon, such as 10 or 20 years.

c. Assumption that the family has a high tolerance for risk: Many savings plan calculators assume that the family has a high tolerance for risk and can invest in high-risk investments that offer a higher rate of return.

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Answer:

? = 5cm

Step-by-step explanation:

We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?

So, to find the ? we take

14 - 9 = 5cm

So, the ? equal 5cm