Un celular costó $2,500 y se vendió en $3,150. ¿Cuánto se obtuvo de ganancia por cada cien
pesos?

Answer:

No, because grabbing the math book changed the odds of grabbing the notebook.

These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.

Probability is the likeliness of an event to happen.

It is given that there are three math books, two science books, and five notebooks.

Total number of books = 3 + 2 + 5 = 10

The probability of drawing a mathbook is 3 / 10 = 0.3

and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.

Therefore they are not independent events and Option C is the answer.

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Answer: A : 54

Step-by-step explanation:

1/7 of 280+14

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

\(z = a + bi\)

In which:

The argument is given by:

\(\theta = \tan^{-1}\left(\frac{b}{a}\right)\)

In this problem, the number is:

\(z = 4 + 3i\)

Hence, \(a = 4, b = 3\), and:

\(\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37\)

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Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Based on the given information, the graph of the function will shift 6 units up from the parent graph, f(x).

A function is a mathematical rule that relates one input value to one output value. The parent graph of a function is the simplest form of the graph that shows the basic behavior of the function.

In this case, the function is being shifted vertically by 6 units. This means that all points on the graph will be shifted upward by 6 units compared to the parent graph.

The shape of the graph will remain the same, but its position will change. Understanding how functions are transformed is important in mathematics and can be used to model a wide range of real-world phenomena.

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Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

Standard form for straight line   y =  m x + b  where m is slope

m' = -m   or m * m' = -1

answer a  or y = - 8/7 + 4     satisfies this requirement

The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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Answer:

Given: 2less than a number is 7

Solution: 2➕7=9

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

The equation of the exponential function is y = 5(3)ˣ

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

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Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

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The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Answer:

4h

2d

Step-by-step explanation:

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts

Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 603, \pi = \frac{142}{603} = 0.2355\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694\)

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Answer: This is the answer. please give me the brainliest. Thanks

Answer:

-6

Step-by-step explanation:

Answer:

19 - 2 x 13 = 7

Step-by-step explanation:

2x = x - 19 = 7

19+7 = 26

26/2= 13

2x13=26-19=7

remember for PEMDAS you have to multiply first, here's the actual equation,

19-2x13=7

I hope I could help!

Answer:

D, E, F, and H

Step-by-step explanation:

D. 27/3=9

E. 27/9=3

F. 27/27=1

H. 27/1=27

Answer: D,E,F, and H

Step-by-step explanation:
1, 3, 9, and 27 are the multiples of 27 itself

It can’t be 2 because it’s not an even number

It can’t be 7 because the closest number that is a multiple of 7 is 28 and it’s one over

It can’t be 5 because it doesn’t end in 5 or 0

it can’t be 18 because 18 + 18 equals 36 and that is 9 over the original number

The width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.

We can solve for x by using the quadratic formula.

First, we need to rearrange the equation to the standard form:

x² + 45x - 175 = 0

Now we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 45, and c = -175

x = (-45 ± √(45² - 4(1)(-175))) / 2(1)

x = (-45 ± √(45 + 700)) / 2

x = (-45 ± √(2025 + 700)) / 2

x = (-45 ± √(2725)) / 2

x = (-45 ± 51.76) / 2

So the two solutions for x are x = (-45 + 51.76) / 2 = 3.38 and x = (-45 - 51.76) / 2 = -99.38.

Since the width will not be negative. Therefore, the width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.

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Answer:

The answer is B: 3.60ft

Step-by-step explanation:

Answer:

The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Step-by-step explanation:

A publisher reports that 35% of their readers own a laptop.

This means that the null hypothesis is:

\(H_0: p = 0.35\)

A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

This means that the alternate hypothesis is:

\(H_{a}: p \neq 0.35\)

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.

0.35 is tested at the null hypothesis:

This means that \(\mu = 0.35, \sigma = \sqrt{0.35*0.65}\)

A random sample of 190 found that 32% of the readers owned a laptop.

This means that \(X = 0.32, n = 190\)

Z-statistic:

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

\(z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}\)

\(z = -0.87\)

pvalue of the test and decision:

As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87

Looking at the z-table, z = -0.87 has a pvalue of 0.1922

2*0.1922 = 0.3844

0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Answer:

+3.464; -3.464

Step-by-step explanation:

call A = y + 2x + 1 = 0 => y = (1 - 2x)

call B: 4y - 4(x^2) - 12x = -7

=> replace y from A to B =>

=> get delta Δ = (-4^2) - 4*(-4 * 11) = 192

=> Δ > 0 => got 2 No

=> x1 = \(\frac{-4 + \sqrt{192} }{2 * -4}\) = \(\frac{1 - 2\sqrt{3} }{2}\) = -1.232

=> x2 = \(\frac{-4 - \sqrt{192} }{2 * -4}\)=\(\frac{1 + 2\sqrt{3} }{2}\)= 2.232

=> replace x from B into A

=> y1 = (1 - 2x) = (1 - 2 * -1.232) = 3.464

=> y2 = (1 - 2x) = (1 - 2 * 2.232) = - 3.464

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

a) She has three quadratic equations as one is the standard form, the other gives the roots, and the other gives the vertex.

b) If the distributive property is applied and the like terms combined, all the equations will have the same result.

c) The most helpful equations will be given for each point.

d) Maximum height of 64 feet after 1 second from h(t)=-16(t-1)^2+64.

e) The shell splashes into the river after a time of three seconds, from h(t)=-16(t+1)(t-3).

f) The shell was at a height of 48 feet when tossed into the river, from h(t)=-16t^2+32t+48.

In standard format, the quadratic function is given as follows:

h(t) = -16t² + 32t + 48.

From this, the relevant information is the initial height from which the shell was tossed off the cliff, which is the c-coefficient of 48 feet.

The roots of the equation are given from the rule presented as follows:

h(t)=-16(t+1)(t-3).

Hence the shell splashes into the river at the positive root of h(t), that is:

t - 3 = 0 -> t = 3.

Expanding the equation, we have that it is equivalent to the first one, as:

-16(t + 1)(t - 3) = -16(t² - 2t - 3) = -16t² + 32t + 48.

The vertex-form quadratic equation is given as follows:

h(t) = -16(t - 1)² + 64.

Meaning that a maximum height of 64 feet was reached after one second.

Expanding the equation, we have that:

h(t) = -16(t - 1)² + 64 = -16(t² - 2t + 1) + 64 = -16t² + 32t - 16 + 64 = -16t² + 32t + 48.

Which is also equivalent to the first one.

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Answer: A.

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

We want to switch the values of x and y.

\(x=\sqrt{4y +1}\)

Now solve for y.

x^2 = 4y + 1

x^2 -1 = 4y

\(y = \frac{x^{2} -1} {4}\)

Answer:

5

Step-by-step explanation:

Answer:

D

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 )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line