Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728. Determine the original price of the computer. Show your work.Calculate how much money Mason saved by using the coupon. Show your work.

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

525 will the answer

Step-by-step explanation:

Answer:

∠ABC = 63.26°

Step-by-step explanation:

cos ∠ABC = (9/2)/10

cos ∠ABC = 0.45

∠ABC = 63.26°

Answer:

756

Step-by-step explanation:

Answer:

756

Step-by-step explanation:

(7.2×105)(0.4×10−3)

Multiply 7.2 and 105 to get 756.

756(0.4×10−3)

Multiply 0.4 and 10 to get 4.

756(4−3)

Subtract 3 from 4 to get 1.

756×1

Multiply 756 and 1 to get 756.

756

Step-by-step explanation:

start with this formula

y=mx+b

m is slope

and b is the y intercept so on the y axis place point on -3

the slope m is 2 so, go up 2 points in the y axis then right 1 point(since slope is (2/1)) and place 2nd point there

connect dots and place arrow heads

it is the 2nd graph

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

A

Step-by-step explanation:

We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too

Answer:

A. -9 < x ≤ -2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:

(-9, 2] or -9 < x ≤ -2

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

Yeah that's correct.

Step-by-step explanation:

You're welcome I'm so high

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

y=27

Step-by-step explanation:

Hey There!

So the whole objective is to get y on one side and the constant on the other

to do so we use inverse operations

-1/3y=-9

divide each side by 1/3

-9/-1/3=-27

we're left with y=-27

Answer:

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

Let the random variable p denote the proportion of children affected by nearsightedness.

The previously known proportion was, p = 0.12.

A random sample of n = 198 children are selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Answer:

Pvalue of 0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at most 18 ounces.

This means that the null hypothesis is:

\(H_{0}: \mu \leq 18\)

Is the true mean larger than the specification?

Due to the question asked, the alternate hypothesis is:

\(H_{a}: \mu > 18\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

18 is tested at the null hypothesis:

This means that \(\mu = 18\)

A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces.

This means that \(n = 18, X = 18.2, \sigma = 0.5\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{18.2 - 18}{\frac{0.5}{\sqrt{18}}}\)

\(z = 1.7\)

Pvalue of the test:

Probability of finding a sample mean above 18.2, which is 1 subtracted by the pvalue of z = 1.7.

Looking at the z-table, z = 1.7 has a pvalue of 0.9554.

1 - 0.9554 = 0.0446

0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Answer:

The state can issue 456,976,000 license plates.

Step-by-step explanation:

For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.

For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.

For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:

\(\frac{10}\) \(\frac{26}\) \(\frac{26}\) \(\frac{26}\) \(\frac{26}\) \(\frac{10}\) \(\frac{10}\)

= 10*26*26*26*26*10*10

=456,976,000.

Therefore, the state can issue 456,976,000 license plates.

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = \(\frac{1}{2} bh\)

Given:

Area of triangle = \(\frac{1}{2} (6x^2 - 7x - 3)\)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

\(6x^2 - 7x - 3\)

To find the expression that models the other leg, divide \(6x^2 - 7x - 3\) by 3x + 1:

\(\frac{6x^2 - 7x - 3}{3x - 1}\)

\(\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}\)

\(\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3\)

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

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Answer:

Step-by-step explanation:

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Answer:

y=−5.4x

Step-by-step explanation:

Slope -5.4

Intercept -14.80

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Answer:

85 + 35=120

Step-by-step explanation:

85 + 35= 120

85 - 35= 50

the difference is fifty

Answer:

First, you would have to convert fl oz to gallons: 1 fl oz = 0.0078125 gal. Therefore, 4 fl oz = 0.03125 gal.

Then, you would have to convert minutes to hours: 1 minute = 0.01666 hours, or 60 minutes = 1 hour.

From here, you can divide 0.03125 gal by 0.01666 hours OR multiply 0.03125 gal by 60 minutes, giving a rate of 1.87 gallons per hour.

Answer:

28 weeks

Step-by-step explanation:

8/2 = 4

It took him 4 weeks to make 1 guitar.

So, 7*4 = 28

It will take him 28 weeks to make 7 guitars.

Answer:

x=18 or x=6

Step-by-step explanation:

2x=36

x=18

if it was x^2 then

x^2=36

x=6

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Step-by-step explanation:

√3cscx + 2 = 0

cscx = -2/√3

sinx = 1/cscx = -√3/2

We have the basic angle x = 60°.

(Because sin60° = √3/2)

Since sinx is negative, it must fall in Quadrants III or IV.

=> x = 180° + 60° or x = 360° - 60°

=> x = 240° or x = 300°.