John gets paid $76 a day at his new job printing t-shirts. He also earns $2.50 for every t-shirt sold. Create
and equation to describe how much money John makes in a day. Write the equation for this problem in
function notation. Then interpret how much money John would makes in one day after selling 32 t-shirts.
Make sure to define your variables and show all of your work.I swear who ever answers this I will Give them brainlist please help

Answer:

The number is 4/9

Step-by-step explanation:

3(6*(4/9))=3*(2+(2/3))=8

Answer:

The selling price of the goods is #340.00

Step-by-step explanation:

Given;

original price, P = #850.00

the new cost = 2/ 5 of the original price

The selling price of the goods is calculated as follows;

\(= \frac{2}{5} \ \times \#850\\\\ = \# 340\)

Therefore, the selling price of the goods is #340.00

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When we are finding the unit rate we should know that the rate of change is the change of y over the change of x.

\(m=\frac{y}{x} =\frac{3496}{46}\)

Now we just simplify to get...

76 words/min.

Answer:

Gordan types 76 words per minute.

I hoped this helps if so please mark brainliest!

Step-by-step explanation:

Divide the words by time.

3,496/46= 76

Answer:

The lateral surface area is 12

Step-by-step explanation:

got it right on edu

Answer:

use PH+2B

Step-by-step explanation:

use the perimeter by adding sides, get the height in the corner, and ur base will be multiplied by width times length it should look similar to PxH+2xB

The new standard deviation of the distribution of X + 4 is also 14, for the given mean of 47 and standard deviation of 14.

Given:

Mean = 47

Standard deviation = 14

Adding 4 to each score, we get the new set of scores.

Let X be a random variable which represents the scores.

So the new set of scores will be X + 4.

Now,

Mean of X + 4 = Mean of X + Mean of 4

Therefore,

Mean of X + 4

= 47 + 4

= 51

So, the new mean of the distribution of X + 4 is 51.

Now, we will find the new standard deviation.

Standard deviation of X + 4 = Standard deviation of X

Since we have only added a constant 4 to each score, the shape of the distribution remains the same.

Hence the standard deviation will remain the same.

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By the information provided in the question, we got to know that - there are 2598960 ways.

Combining means selecting all or part of a set of objects, regardless of the order in which the objects are selected. Suppose we have a set of three characters.

\(^nC_{r} = \frac{n!}{r!(n - r)!}\)

You are choosing a subset of size 5 from a set of size 52.

\(Note that the order you are dealt these 5 cards is irrelevant.\) Thus, order doesn’t matter.

Thus, this is a combination problem. The formula for this is:

\(Comb(52,5) = \frac{52!}{5! 13!} = 2598960.\)

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Answer:

$5.3

Step-by-step explanation:

1) Ask yourself: How much money is left to spend?

- Subtract the cost to rent the park shelter:

3,500 - 250 = 3,250

- Find the total amount of money spent on gifts for students:  

300 * 5.50 = 1,650  

- Subtract the total money spent on gifts for students:

3,250 - 1,650 = 1,600

2) Ask yourself: How much can be spent per student?

- Divide the money left by the number of students:

1,600 / 300 = 5.3

The system of linear equations has infinite solutions.

Here we have the following system of equations:

y = -2x + 9

6x + 3y = 27

We can rewrite the second linear equation to get:

6x + 3y = 27

3y = 27 - 6x

y = (27 - 6x)/3

y = 9 - 2x

So you can see that the two linear equations represent the same line, then the lines intersect at infinite points, which means that the system has infinite solutions.

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The standard deviation measures how far the data are from the dataset mean. The lower the standard deviation is, the closest the data are to the mean.

In this case, the pilot strives for a mean equal to 0 (zero minutes late). Also, since the pilot needs the arrivals to be as close as possible to this mean of zero minutes late (on-time), they want the data of "minutes late" to be all close to this mean. And this is achieved with a lower standard deviation.

Therefore, they want a lower standard deviation.

Answer:

None of the given points satisfy the inequality 2x - 3y < 1.

Step-by-step explanation:

To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's consider the given points:

Point A: (1, 0)

2(1) - 3(0) < 1

2 - 0 < 1

2 < 1 (False)

Point B: (-1, -1)

2(-1) - 3(-1) < 1

-2 + 3 < 1

1 < 1 (False)

Point C: (3, -2)

2(3) - 3(-2) < 1

6 + 6 < 1

12 < 1 (False)

None of the given points satisfy the inequality 2x - 3y < 1.

Therefore, none of the points A, B, or C satisfy the inequality.

The term refers to the minimum payment you must make in order to be regarded as being "up-to-date" with your credit card payments.

The term that specifies the amount you must pay for a credit card payment to be declared "final" is the minimum payment.

During each time period that an event or entity occurs, your credit card issuer will pay a minimal fee to the debt on your charge card. In order for your payment to be regarded as "according to schedule" and to avoid being punished and charged late fees for services or privileges, you must pay a percentage of this cost.

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Answer: $0.59

Step-by-step explanation: constant of proportionality is the number by the variable

In the given reaction, oxygen is the limiting reagent and carbon disulfide is the excess reagent.

According to our question-

a) The limiting reactant is Oxygen  

b) There will remain 0.667 moles of Carbon disulfid  

c) 0.333 moles of Carbon dioxide and 0.667 moles of Sulfur dioxide will be formed.  

1 mole of Carbon disulfide need 3 moles of Oxygen to produce 1 moles of Carbon dioxide and 2 moles of sulfur dioxide.  

Number of moles of  Carbon disulfide = 1.00 mol  

Number of moles of Oxygen = 1.00 mol    

Calculate the limiting reactant    

Oxygen is the limiting reactant. It will completely be consumed.(1.00 mol).  

(B) Carbon disulfide is excess reactant. There will react with

Carbon disulfide react with 0.33 moles of Oxygen.

The remaining excess reagent:

0.667 moles of Carbon disulfide will remains.  

Calculate moles of products:

1 mole of Carbon disulfide need 3 moles of Oxygen to produce 1 moles of Carbon dioxide and 2 moles of sulfur dioxide.  

For 1.00 mol of oxygen =  1.00/3 = 0.333 moles Carbon dioxide.  

For 1.00 mol of Oxygen  = 1.00 /(3/2) = 0.667 moles of sulfur dioxide.

Hence, In the given reaction, oxygen is the limiting reagent and carbon disulfide is the excess reagent.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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If one could fund the entire federal budget by working a single 8-hour work day, approximately 3,085.35 seconds of that working day would be devoted to paying the amount earmarked for public broadcasting.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To put the amount earmarked for public broadcasting into perspective, we can compare it to the total annual federal budget and calculate how much time would be spent working to pay for it.

First, let's convert both amounts to the same unit of measurement, such as dollars per second. If we assume an 8-hour work day,
8 * 60 * 60 = 28,800 seconds,

Then the federal budget can be funded at a rate of,
= 4.75 × 10¹²/ 28,800 seconds
= 165,278.47 dollars per second.

Next, we can divide the amount earmarked for public broadcasting by the rate of funding to find the number of seconds devoted to paying for it,

= 510 × 10⁶ / 165,278.47 dollars per second
= 3,085.35 seconds

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Answer: A

Step-by-step explanation:

If they are similar, that means the proportions for corresponding sides will be the same.

          I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.

(A) says that side ST is corresponding with side YZ,

          [] Triangle RST and triangle XYZ

          -> Correct

(A) also says that side RT is corresponding with size XZ,

          [] Triangle RST and triangle XYZ

          -> Correct

               This means that option A is the correct answer.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

\(Z=\dfrac{11.4-24.4 }{6.5 } = -2\)

The z-score for 37.4 is given as follows;

\(Z=\dfrac{37.4-24.4 }{6.5 } = 2\)

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes =  0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

\(Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466\)

Answer:

31.5

Step-by-step explanation:

5*6=30

30+5=35

35*0.3=31.5

Answer:

A=(-2,7); B=(8,-3); C=(-4,-3)

Step-by-step explanation:

n(B x A) = n(A x B) = 420

Since we know that n(A x B) = n(A) x n(B), we can substitute the given values to find:

n(A x B) = n(A) x n(B) = 84 x 5 = 420

Therefore, n(A x B) = 420.

To find n(B x A), we can use the fact that n(A x B) = n(B x A), which follows from the commutative property of set intersection.

So, the final answers are:

n(A x B) = 420

n(B x A) = 420

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Answer:

m = - \(\frac{2}{3}\) , c = - \(\frac{4}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - \(\frac{2}{3}\) x - \(\frac{4}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\) and y- intercept c = - \(\frac{4}{3}\)

The value of m is -2/3 and c is -4/3

What is equation of a straight line?

Any straight line's general equation is given by the notation              y = mx ₊ c, where m denotes the line's gradient(or degree of steepness), and c denotes the y-intercept(a line's intersection with the y-axis).

The linear equation y = mx ₊ c has the form: y = mx ₊ c, where x and y are the variables, and m is the line's coordinates.

The formula y = mx ₊ c allows us to obtain a result for y by entering a value for x.

Y is a dependent variable since it depends on the value of x, which means that x is an independent variable.

Solution:

Given:

2x ₊ 3y ₊ 4 = 0

To Find:

m = slope of the equation

c = y intercept of the equation

Step-1:

The given equation is: 2x ₊ 3y ₊4 = 0

                                   3y = ₋2x ₋ 4

                                    y = ₋2x/3 ₋ 4/3 .............eq(1)

Now, it is in the form    y = mx ₊ c ....................eq(2)

Step-2:

On comparing eq(1) and eq(2) we get:

m = ₋2/3  &

c = ₋4/3

Hence we get the value for the slope of the equation as -2/3 and y-intercept of the equation as -4/3.

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Answer:

C. 0.446

Step-by-step explanation:

1-(0.114+0.332) = 0.446

The sum of the relative frequencies of the bars for 4 and 5 is 0.446.

The probability that atleast four of the next five flights will be overbooked is the sum of the probabilities of having 4 or 5 flights overbooked which is 0.446

The probability of having atleast 4 flights overbooked can be defined as :

P(X ≥ 5) = P(X = 4) + P(X = 5)

From the probability distribution displayed on the histogram :

P(X ≥ 5) = 0.332 + 0.114 = 0.446

Therefore, the probability of having atleast 4 flights overbooked ls 0.446

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Answer:

66

Step-by-step explanation:

\(\binom{12}{2}=\frac{12!}{10!21}=\frac{12 \cdot 11}{2}=66\)

Answer:

4

Step-by-step explanation:

Attached to this answer is an image with the work on how to find the number of sign changes in the polynomial.

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Answer: A polygon that does not have all sides equal and all angles equal.

Step-by-step explanation:A polygon that does not have all sides equal and all angles equal. (A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.)

Answer:

f(t) = -16t^2 + 180

f(0) = 180, f(1) = 164 = 180 - 16,

f(2) = 116 = 180 - 64, f(3) = 36 = 180 - 144

Table B is the correct table.

Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

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