12. Evaluate The Function Rule For The Given Value.y = 42* For X = -6 (2023)

Answer:

Hence, the two integers could be:

3 and 9

0R

-3 and -9

Step-by-step explanation:

Let the two integers be denoted by a and b.

It is given that:

One integer is 1/3 times another.

i.e. let

i.e.

Also,

The sum of their squares is 90.

i.e.

Hence, when a=3 we have:

and when,

then b=-9

Answer:

The two integers are 18 and 3.

Step-by-step explanation:

Consider the provided information.

It is given that One integer is 3 more than 5 times another.

Let us consider the integer is x.

Then 3 more than 5 times of x is:

The product of the provided two numbers is 54. i.e.

Use the formula of the quadratic equation:

For the equation the solutions are:

By comparing the obtained equation with the above equation, it can be concluded that a = 5, b = 3 and c = -54. Substitute the these values in the above formula.

or

or

or

As we have given that numbers are integer, therefore ignore

Thus, the value of x is 3 or one number is 3.

Then 3 more than 5 times of x is: 3 + 5(3) = 18.

Therefore, the two integers are 18 and 3.

Answer:

8 Liters/minute

Step-by-step explanation:

Cardiac output is defined as the volume of blood pumped by the left ventricle or right ventricle per unit time.

Heart rate is the number of heart beats per minute.

Stroke volume is the amount of blood pumped from the left ventricle per beat.

Amount of blood in LV=Stroke volume = 80 cc/beat=0.08 L/beat

Heart rate=100 beats/minute

Cardiac output (CO)= Stroke volume×Heart rate

Cardiac output (CO)=0.08×100

Cardiac output (CO)=8 L/minute

Answer: There are several ways in which we can determine our marketing budget. Some of these are given below:

1. Percentage of revenues:

Under this method we usually take a fixed percentage of our revenues and further allocating this amount for marketing. We will choose the percentage that works best for us.

2. Percentage of net sales:

This method determines our marketing budget as a fraction of our net sales. This method will take a lot of trial and error to find the percentage that works well for our company.

3. Industry specific:

Nowadays, industries have specific projections as to the amount they will need to spend on marketing . The best way to get these numbers is to find a firm that represents our industry and ask them to provide us with averages. We can then refine the actual costs.

4. Objective/task oriented

This is model that works by setting out goals, planning out the tasks and then estimating the cost for all of these tasks. It works greatly for firms who have a immense knowledge about measurements and information of their business processes.

Answer:0.5625

Step-by-step explanation:

If John packed the dinner

probability of salt less dinner==0.018

If Mary packed the dinner

probability of salt-less dinner ==0.005

If sue packed the dinner

probability of salt-less dinner ==0.009

Total proportion of salt-less dinner=0.032

probability that dinner is salt-less and mary packed it==0.5625

Answer: The mean number of checks written per​ day =

Step-by-step explanation:

Given : A person wrote 128 checks in last year.

Consider , the last year is a no-leap year.

The number of days in ;last year = 365 days

Let X be the number of checks in one day.

Then ,

The mean number of checks written per​ day =

Now X follows Poisson distribution with parameter .

Then ,

Answer:

a.A+B can not find out

b.=

=

=

In similar way multiply two matrix of order

c.No,because A is not a square matrix and determinant of B is zero.

Step-by-step explanation:

We are given that two matrix

A=

B=

In matrix A , two rows and 3 columns therefore, the order of matrix

In matrix B, 3 rows and 3 columns therefore, the order of matrix B is

a.A+B can no find because when add two matrix then the order of two matrix should be same .

b.

When we multiply on matrix to other matrix then number of columns of first matrix equals to number of rows of second matrix.

Therefore, number of columns of matrix A is equals to number of rows of matrix B.So, we can multiply

=\times

=

Formula for multiply of matrix of order

Let A and B are square matrix of order

Let A= and B=

=

In similar way we multiply of matrix of order and matrix multiply of order

Let A and B are matrix of order

Let

=

In similar way we multiply two matrix of order

C.Matrix A is not a square matrix .Therefore, it is not a invertible matrix.

Therefore, the determinant of B is equal to zero therefore, inverse of matrix B does not exist.

Hence, Both matrix A and B are no invertible.

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 2/3 = 0.66

the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

Answer: The the expression for the number of letters =

Maria sent 12 postcards

Step-by-step explanation:

Given : Cost of mail a postcard =20 cents

Cost of mail a letter = 33 cents

Since 1 dollar = 100 cents

Total money spent by Maria =

Let x represent the number of postcards she wrote.

The the expression for the number of letters =

According to the question we have ,

Hence, Maria sent 12 postcards and 6 letters .

Answer:

B 2124

D 1416

Step-by-step explanation:

Take the ratio

A B C D Total

3 6 8 4 21 (3+6+8+4 = 21)

B gets 6 out of every 21 items

Take that fraction times the total items

6/21 * 7434 = 2124

D gets 4 out of every 21 items

Take that fraction times the total items

4/21 * 7434 = 1416

Answer: B get = 2124 items and D get = 1416 items

Step-by-step explanation:

Total number of items = 7434

Dividing ratio between A, B, C and D = 3:6:8:4

∴ the items divided in this ration are as follows:

=

Hence,

A get = 1062 items

B get = 2124 items

C get = 2832 items

D get = 1416 items

So, B get 2124 items and D get 1416 items out of the 7434 items.

Answer:

Step-by-step explanation:

Let T: be the linear transformation

We have to find the image of an arbitrary quadratic polynomial

We know that linear transformation satisfied the property

Therefore,

Substitute all given values in right place

Hence, the image of an arbitrary quadratic polynomial

.

Answer with Step-by-step explanation:

Let A element of (R) be a diagonalizable matrix with given

We have to prove that A is the zero matrix

Le A= be any matrix of order

Trace : Trace is defined as the sum of diagonal elements of a matrix.

Therefore,

We know that square of an positive or negative element is positive

Therefore, it is necessary that when tr(=0

When all elements of matrix are zero then the matrix should be zero matrix.

Hence, A is a zero matrix .

Answer:

​(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Solution:

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis: In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis :

Alternative Hypothesis : 63.7" alt="H_1: \mu>63.7" align="absmiddle" class="latex-formula">

b)The​ P-value for this test is 0.16.

Solution: The p-value represents the probability of getting a sample mean height of 65.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

Solution:

p- value = 0.16

\apha" alt="p-value> \apha" align="absmiddle" class="latex-formula">

Since the p - value is high .

So, we will accept the null hypothesis

So,

Hence The mean height is 63.7 inches

Multiple regression analysis is used to make a linear model capable of giving predicting an output variable using two or more independent variables. Analysis of the residual is used to to test if the variation in the residuals is the same for all predicted values of y.

• Residual values gives the difference between the actual and predicted value of a model.

• Residual analysis in linear regression is used to test the appropriateness of a linear model for a given data set.

• Since, the number of independent variables in multiple regression exceeds 1 ; then variation in the predicted values are analysed using the result of the residuals.

Therefore, residual analysis in multiple regression tests the variation in the residuals is the same for all predicted values of y.

Learn more :brainly.com/question/18405415

Answer: The predicted error is minimized.

Step-by-step explanation:

Ideally, residual analysis is used in a linear regression model to measure the appropriateness of the model by examining the residual plots on the graph.

And, residual referred as a difference between the noticed value of the dependent variable (y) and the estimated value (ŷ).

Residual = Noticed value - Estimated value

e = y - ŷ

Answer: Percent of interest paid on this loan annually = 351% p.a

Step-by-step explanation:

Given that,

principal amount = $100(loan)

time period = 14 days

interest amount (SI) = $13.50

we have to calculate the rate of interest (i),

Simple interest(SI) = principal amount × rate of interest (i) × time period

13.50 = 100 × i ×

i =

i = 3.51

i = 351% p.a.

Answer:20.91

Step-by-step explanation:

Given

Principal amount invested=

Rate of interest=8%

Annual Withdrawl=

compound interest is given by

A=

Therefore reamining Amount after certain years

Net money will become zero after t year

=0

t=20.91 years

Answer:237 days

Step-by-step explanation:

Interest=1341

Principal

rate of interest

We know

Simple Interest=

=

=

=

Step-by-step explanation:

Consider the provided information.

Jason received an invoice for $5,000, and the invoice was dated on August 26.

Part 1)

We need to find the bill Jason needs to pay by September 26.

n/45 means invoice amount should be paid within 45 days after the august 26.

From August 26 to September 26 Jason complete a month.

Thus, Jason just need to pay only $5,000. Which is the invoice amount.

Part 2)

The last day of discount can be calculated by 2/10.

Here, the 2/10 represents that discount of 2% within 10 days.

Now, calculate the 10 days form August 26.

The 10 days from August 26 is September 5.

Hence, September 5 is the last day that Jason can receive the cash discount.

Part 3)

Now, we need to calculate the last day that Jason has to pay for the bill.

n/45 means invoice amount should be paid within 45 days after the august 26.

Hence, the sum of the invoice should be paid within 45 days of August 26, whatever the date.

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

Hence z critical values can be used.

For 95% Z critical=1.96

Margin of error =

Confidence interval = 375±29

=(346,404)

B) 99% confidence

Margin of error = 2.59*Std error =38

Confidence interval = 375±38

=(337, 413)

C) For 90%

Margin of error = 20

Std error = 20/1.645 = 12.158

Sample size

Atleast 44 people should be sample size.

Answer:

Step-by-step explanation:

Correlation means that two or more events happen together. They are related to one another by being caused by the same thing.

Causation has a definite order. The first event has some cause that is comes before the second event. One event caused the other.