#3: Create an equation that include at least 3 steps and the
distributive property that has a solution of 6.

Answer: 80%

Step-by-step explanation:

40/50 = 80/100 = .8 then move decimal over 2 places to the right for percent. .8 to 8.0 to 80.0

Answer:

80%

Step-by-step explanation:

As a fraction this would be:

40/50

We could do some mental mathematics and work out what 40÷50 is and then ×100 to get a percentage.

Or we can just double the fraction to make the denominator 100:

40/50×2/2

80/100

Now we multiply this by 100 (basically remove the denominator):

80%  

Answer:

4x10=40,5x10=50

um belo diaabençoado

If there are 10 cards, numbered 1 to 10, and 4 is picked, the probability that the next card will be higher is 2/3.

10 cards, numbered 1 to 10 is present.

After picking up the card 4

For the next card

The sample space is (1, 2, 3, 5, 6, 7, 8, 9, 10) = 9

number of desirable outcomes = (5, 6, 7, 8, 9, 10) = 6

Let event A be the probability of getting the next card higher than 4 is

Probability that the next card will be higher = possible outcome / sample space

P(A) = 6/9

P(A) = 2/3

Therefore, if there are 10 cards, numbered 1 to 10, and 4 is picked, the probability that the next card will be higher is 2/3.

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Answer:

Plot the point (6, 2). From there, move 3 units up and then 4 units to the left. You will be at (2, 5). Plot that point, and then draw a line through (6, 2) and (2, 5).

The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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Answer:

X=9

Step-by-step explanation:

Well first you gotta distribute

16x-48=96

Now isolate 16x by adding 48 on both sides

16x=144

Now isolate x by dividing 16 on both sides

x=9

Answer:

8(2x-6) = 96 X=48

I hope this helps u. Sorry if it's the incorrect answer.

Have a nice day.

Step-by-step explanation:

Point x is located at ( 2,5)

When reflecting across the y axis the x value remains the same.

The reflection is at y -2, from -2 to the location of z (-5) is a difference of 3 units.

Add 3 to the reflection line -2 + 3 = 1 , the new y value would be 1.

the new location would be (2,1)

Answer:

the first choice, the second choice, and the last choice

Step-by-step explanation:

5 and 6 because they are alternate angles

2 and 3 because they are corresponding angles

2 and 4 because they are corresponding angles

Answer:

first we should to multiply 3 and 3 and at last we should multiply a and a then the answer comes 9asquare

Take out the constants (3×3)aa

simplify 3 × 3 to 9aa

use product rule : xᵃ xᵇ = xᵃ ⁺ ᵇ

= 9a^2

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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Step-by-step explanation:

21 (2-x)+12x=44

first,open the brackets

42-21x+12x=44

second, collect like terms

42-9x=44

-9x=44-42

-9x=2

third, dived both sides by -9

-9x/-9 = 2/-9

\(x = \frac{2}{ - 9} \)

mark me as brainliest pllyyyyzzz

Answer(s):

\(\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1\)

Explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:x - 1,\) in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{2}\:unit\) to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK \(\displaystyle \frac{\pi}{2}\:unit,\) which means the C-term will be negative, and perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.\) So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.\) Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits \(\displaystyle [0, 3],\) from there to \(\displaystyle [2\pi, 3],\) they are obviously \(\displaystyle 2\pi\:units\) apart, telling you that the period of the graph is \(\displaystyle 2\pi.\) Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = -1,\) in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

That would be a 30.9 or 31% increase!

Step-by-step explanation:

Formula: % increase = Increase ÷ Original Number × 100

To find the increase subtract the new increase number by the original.

72-55 = 17

Increase: 17

Original: 55

Here's the equation when using the formula:

17/55*100

That would get you the answer of 30.909091

Answer:

Step-by-step explanation:

There can be many ways to solve this problem. I solved the problem by subtracting the fractions, then dividing the fractions to get the increase in percentage.

Hence, the increase in percentage is about 31%.

\(BrainiacUser1357\)

There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

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A)

Replace the letters in the given equation with the corresponding values given in the problem:

A = 10,000 x 2.718^(0.05 x 2)

A = 11,051.59 , rounded to nearest dollar = $11,052

B)20,000 = 10000 x 2.718^(0.05 x t)

Divide both sides by 10,000:

2 = 2.718^(0.05 x t)

Apply exponent rules:

0.05tln(2.718) = 2

Solve for t:

t = ln(2) / 0.05ln(2.718)

t = 13.86 years, rounded to nearest year = 14 years.

Answer:

Step-by-step explanation:

Using \(A=Pe^{rt\) as instructed, our equation looks like this:

\(A=10,000e^{(.05)(2)}\) which simplifies a bit to

\(A=10,000e^{.1\) which simplifies a bit more to

A = 10,000(1.10517) so

A = 11,051.71  Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:

\(20,000=10,000e^{.05t\)  Begin by dividing both sides by 10,000 to get

\(2=e^{.05t\) and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:

ln(2) = .05t and

t = 14 years (that's 13.8 rounded up to the nearest year)

Answer:

only A ans bellow

Step-by-step explanation:

let k= -4

A. k * (k - 1) * ( k - 2)

= -4 * (-4 -1) * ( -4 -2)

= -4* (-5) * (-6)

= 20*-6

= -120

B. k * ( k+1)

= -4 * ( -4+1)

= -4 * (-3)

= + 12

C. k * (-50)

= -4 * (-50)

= + 200

D . (50 - k)

= 50 - (-4)

= 50 + 4

= + 54

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if k is negative then k(k-1)(k - 2) will be definitely negative.

A number system is defined as a system of writing to express numbers.

Given that k is a  negative integer.

We need to find which of the given options are defnitely negative.

Let us consider k as -3.

k(k-1)(k - 2)

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

-3(-4)(-5)=-60

Which is negative.

k(k+1)=-3(-3+1)=6 +ve

k (-50)=-3(-50)=150 +ve

(50-k)​=50-(-3)=53 +ve.

Hence, if k is negative then k(k-1)(k - 2) will be definitely negative.

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Answer: x = 7

Step-by-step explanation:

Sum of the interior angles of a triangle must equal 180.

41 + (7x) + 90 = 180

7x = 180 - 90 - 41

7x = 49

x = 49/7 = 7

Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How much fruit punch did her guests drink Jamie made 8 1/4 cups of fruit punch for a party. A mixed number can be converted into an improper fraction by multiplying the denominator by the whole number, and then adding the numerator. Thus, we have 33/4 cups of fruit punch.

Jamie's guests drank 2/3 of the punch. If Jamie made 33/4 cups of fruit punch, then the guests drank2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch The guests drank 1 5/12 cups of fruit punch. More than 100 words: To determine how much fruit punch Jamie's guests drank, we need to calculate the amount of punch made and then multiply it by the fraction of the punch consumed by the guests. Jamie made 8 1/4 cups of fruit punch.

We'll start by converting the mixed number to an improper fraction, which is 33/4. Next, we'll multiply 33/4 by 2/3 to determine how much punch the guests drank. This is calculated as follows:2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch. Therefore, Jamie's guests drank 1 5/12 cups of fruit punch.

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Answer:

64

Step-by-step explanation:

The volume of rectangular prisms is measured by l*w*h

And by counting the units of the length, width, and height are all 4 units long.

So take the numbers and plot them into the formula

4*4*4 = V

16 * 4 = V

64 = V

The prism is 64 cubic units.

At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.

To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.

Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.

Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:

\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)

Simplifying the equation:

\(20 = 576\pi \left(\frac{dr}{dt}\right)\)

Dividing both sides by 576π:

\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)

Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.

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Answer:

135/3 = $45 for each club.

Step-by-step explanation:

435 - 300 = 135

Next step:

135/3 = $45

Multiply the width by the height:

6 2/3 x 2 4/5 = 18 2/3 square feet.

Now divide the volume by that number:

210 / 18 2/3 = 11 1/4

The length of the tank is 11 1/4 feet

Answer: not sure

Step-by-step explanation:

yep.

The expected value of z, e(z), is 12 and the variance of z, v(z), is 90. The expected value of the random variable z, defined as z = 2x - 3y + 5, can be determined using the properties of expected values. The value of e(z) is calculated as 2e(x) - 3e(y) + 5.

Similarly, the variance of the random variable z, denoted as v(z), can be determined using the properties of variances. The value of v(z) is calculated as 2^2v(x) + (-3)^2v(y), since x and y are independent random variables.

Given e(x) = 8, e(y) = 3, v(x) = 9, and v(y) = 6, we can calculate the expected value and variance of z.

e(z) = 2e(x) - 3e(y) + 5

    = 2(8) - 3(3) + 5

    = 16 - 9 + 5

    = 12.

Therefore, the expected value of z, e(z), is 12.

v(z) = 2^2v(x) + (-3)^2v(y)

    = 2^2(9) + (-3)^2(6)

    = 4(9) + 9(6)

    = 36 + 54

    = 90.

Therefore, the variance of z, v(z), is 90.

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Answer:

D.) Yes, because it passes the vertical line test.

Step-by-step explanation:

For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.

In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.

Yes, The graph is function because it passes the vertical line test.

We have to given that,

A graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Hence, By given graph,

it passes the vertical line test.

So, Graph shown is a function.

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Greg would need to visit his parents at least 18 times each year to attain gold status. To calculate this, we need to take the minimum flight miles required for gold status (16200) and subtract 900 miles, the round-trip flight distance to visit his parents.

where the value comes from the calculation of 15300 miles. Then, we divide 15300 miles by 900 miles, the round-trip flight distance to visit his parents, and get the answer of 18. Therefore, Greg needs to visit his parents at least 18 times each year to reach gold status.   To be eligible for gold status, one must fly a certain amount of miles within a year.

For the airline company that Greg is using, the minimum flight miles required for gold status is 16200. Since Greg is taking a 900-mile round-trip flight to visit his parents, he needs to make up the difference in order to reach the minimum required flight miles. Thus, he needs to visit his parents at least 18 times each year to ensure that he meets the required flight miles for gold status.

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Therefore, the required probabilities are:

a) P(red car) = 0.537

b) P(speeding ticket) = 0.546

c) P(speeding ticket | red car) = 0.421

d) P(red car | speeding ticket) = 0.413

e) P(red car and speeding ticket) = 0.226

f) P(red car or speeding ticket) = 0.857

a) The probability that a randomly chosen person has a red car is the number of people with red cars divided by the total number of people, which is:

P(red car) = 335/624

= 0.537 (rounded to the nearest thousandth).

b) The probability that a randomly chosen person has a speeding ticket is the number of people with speeding tickets divided by the total number of people, which is:

P(speeding ticket) = 341/624

= 0.546 (rounded to the nearest thousandth).

c) The probability that a randomly chosen person has a speeding ticket given they have a red car is the number of people with red cars and speeding tickets divided by the number of people with red cars, which is:

P(speeding ticket | red car) = 141/335

= 0.421 (rounded to the nearest thousandth).

d) The probability that a randomly chosen person has a red car given they have a speeding ticket is the number of people with red cars and speeding tickets divided by the number of people with speeding tickets, which is:

P(red car | speeding ticket) = 141/341

= 0.413 (rounded to the nearest thousandth).

e) The probability that a randomly chosen person has a red car and got a speeding ticket is the number of people with red cars and speeding tickets divided by the total number of people, which is:

P(red car and speeding ticket) = 141/624

= 0.226 (rounded to the nearest thousandth).

f) The probability that a randomly chosen person has a red car or got a speeding ticket is the sum of the probabilities of having a red car and having a speeding ticket minus the probability of having both, which is:

P(red car or speeding ticket) = P(red car) + P(speeding ticket) - P(red car and speeding ticket)

= 0.537 + 0.546 - 0.226

= 0.857 (rounded to the nearest thousandth).

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Step-by-step explanation:

it looks like compound interest.

initial amount $500

6% growth

after 10years $895.42

Answer:

(-7, -3)

Step-by-step explanation:

So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.

To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.

x-coordinate is -3 & y-coordinate is 7

Then you literally just substitute it into the formula like so:

(-y, x) -->(-(7), (-3)) --> (-7, -3)

Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.

Hope it helps and good luck (●'◡'●)

Answer:

(-7,-3)

Step-by-step explanation:

You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).

So shorthand the rule is just saying

(x,y)->(opposite of y, x)

(-3,7)->(-7,-3)

A few more examples:

(5,7)->(-7,5)

(-5,7)->(-7,-5)

(-5,-7)->(7-,5)

(5,-7)->(7,5)

This whole explanation comes down to reading-u as opposite of u.

Opposite just means to change the sign.

Another way to read -u is -1×u.

Example:

Q: evaluate -u if u=8

A: -8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.

Example:

Q: evaluate -u if u=-8

A: 8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Given parameters:

  Evaluate;

             \(\sqrt[4]{(16)^{-2} }\)

Now let us solve this;

           \(\sqrt[4]{(16)^{-2} }\);

     the fourth root can be expressed  as the power of    \(\frac{1}{4}\) ;

    \(\sqrt[4]{(16)^{-2} }\)   =     [(16)⁻²]\(^{\frac{1}{4} }\)

                     =  (16)\(^{-2 x \frac{1}{4} }\)

                      = (16)\(^{\frac{-1}{2} }\)

                      =     \(\frac{1}{16^{\frac{1}{2} } }\)

                     =    \(\frac{1}{\sqrt{16} }\)

                     =  \(\frac{1}{4}\)

The solution is \(\frac{1}{4}\)