What is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1

Answer:

45'000,000 45 million

Step-by-step explanation:

Answer:

Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:

Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.

Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.

Simplify the equation: On simplifying the equation, we get: y = 2x - 2.

Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.

Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.

Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.

That's it! You have successfully graphed the equation -3y + 6x = 6.

Answer:



Step-by-step explanation:

Answer:

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.

This means that \(N = 18, k = 8\)

We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.

Suppose that six of these individuals are randomly assigned to a particular examiner.

This means that \(n = 6\)

a. What kind of a distribution does X have (name and values of all parameters)

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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9514 1404 393

Answer:

  7

Step-by-step explanation:

A number with its most significant digit in the ten-millions place will have 7 as the exponent of 10 when it is written in scientific notation.

Answer:

Step-by-step explanation:Which transformation shows a reflection across the y-axis? A) ... What are the coordinates of B'? A). (-5, 3). B). (-4, 3). C). (-3, 2). D) ... if translated 11 units right and 12 units down will result in rectangle E? A) ... would correspond to each other. ... Look for coordinates that have the sign of either the x or the y

Answer:

Hi there!

Your answer is

(C-12)/A = M

Step-by-step explanation

c=12+a * m

SOLVE FOR M!

C=12+AM

-12

C-12+AM

Divide out A to isolate M

(C-12)/A = M

The equation that can be used to find the number of minutes[m] a customer used is -   m = (c - 12)/a

Equation rearrangement is a process of arranging the equation parameters in terms of a specific parameter.

Given is a phone company that charges a base fee of $12 per month plus an additional charge per minute. The monthly phone charge cost [c] can be represented by the equation: c = 12 + a x m, where [a] is the additional charge per minute, and [m] is the number of minutes used.

The given equation is -

c = 12 + a x m

Since, we know the values of [a] and [c], we can solve for [m] as follows -

c = 12 + a x m

c - 12 = a x m

m = (c - 12)/a

Therefore, the equation that can be used to find the number of minutes[m] a customer used is -

m = (c - 12)/a

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the correct answer is negitive one hundred eighty (-180)

Answer:

227.5

Step-by-step explanation:

65 mhp

after 3.5 h

Just multiply

65 x 3.5 = 227.5

Answer:

227.5

Step-by-step explanation:

multiply 65 mph to 3 1/2 [3.5 (estimated)] to calculate the distanbce travelled

Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:  12 possible outcomes in total

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

the graph is nonlinear because its not touching the 0

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Answer:

Value In Scientific Notation Will Be: 3.6 x 10^4

Expanded Form Will Be: 36000

Answer: The cost of milk at Target is 3 standard deviations above the mean = $3.05.

Step-by-step explanation:

Given: Mean price of a gallon of milk = $2.60

Standard deviation =  $0.15

The cost of milk at Target is 3 standard deviations above the mean = Mean + Standard deviation

= $ (2.60+3(0.15))

=-$(2.60+0.45)

= $ 3.05

Hence, the cost of milk at Target is 3 standard deviations above the mean = $3.05.

Answer:

The data given is  

    235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

  The sample size is  n =  16

   The population is  \(\mu  =  \$201,800\)

  The sample mean is mathematically represented as

             \(\= x =\frac{\sum x_i}{n}\)

=>  \(\= x  =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}\)

=>    \(\= x  = 218653.125\)

Generally the sample standard deviation is mathematically represented as

     \(s =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)

=>   \(s =  \sqrt{\frac{ (235,000 -  218653.125)^2+ (271,900 -  218653.125)^2 + \cdots +  (245,500 -  218653.125)^2}{16} }\)

=>   \(s =  23946.896 \)

The null hypothesis is  \(H_o : \mu =  \$201,800\)

The alternatively hypothesis is  \(H_o : \mu >  \$201,800 \)

Generally the test statistics is mathematically represented as

     \(t =  \frac{\= x  - \mu }{ \frac{s}{\sqrt{n} } }\)

=>  \(t =  \frac{218653.125  - 201800 }{ \frac{23946.896 }{\sqrt{16} } }\)

=>  \(t =  2.82\)

Generally the degree of freedom is mathematically represented as

     \(df =  n - 1\)

=>   \(df =  16 - 1\)

=>   \(df =  15\)

Generally the probability of  \(t =  2.82\) at a degree of freedom of  \(df =  15\) from the t - distribution table  is  

     \(p-value  = P( t >2.82 ) =0.00646356\)

The

From the values obtained we see that \(p-value  < \alpha\)

The decision rule is  

   Reject the null hypothesis

The conclusion is

 There is sufficient evidence to conclude that the real estate company's  projection is true

Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution

Type I  Error

 The type 1 error occur when the null hypothesis is wrongfully rejected

  The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still  $201,800

   Type II  Error

 The  type 11 error occur when the null hypothesis is wrongfully  accepted(i.e wrongfully failed to reject the null hypothesis)

    The consequence in this case is that the company will assume that the average selling price  is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased

   Given that resource is scare the management of the company will want a  smaller  significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources

generally the critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table is    

     \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

   \(E  =Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }\)

=>\(E  =1.96*  \frac{23946.896}{\sqrt{16} }\)

=>\(E  = 11733.96\)

Generally the 95% confidence interval is  mathematically represented as

     \(218653.125 - 11733.96  < \mu  <  218653.125 + 11733.96\)

=>  \(206919.165  < \mu  <  230387.085\)  

Generally there is 95% confidence that the actual average selling price is within this interval  

Step-by-step explanation:

Answer:

x ≤ 1

Step-by-step explanation:

In the graph shown, the blue arrow is facing to the left, so we know that the inequality is some kind of less-than inequality (x < number).

We can also see that the blue arrow starts at a filled-in circle, so we know that the inequality will use the less-than-or-equal-to relator (≤).

Finally, the filled-in dot is at 1, so we can construct the equation:

x ≤ 1

Note that you could replace x with any other variable or even a blank space, since it isn't specified by the number line.

The rate at which the water is now flowing from the tap is 50 cubic centimeters per second.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that,

Time taken to fill the watering can of 4 liter = 40 seconds.

4 liter = 4000 cm³

Time taken to fill the watering can of 4000 cm³ = 40 seconds

Unit rate of flow of water = 4000 / 40 = 100 cm³ / sec

Now the rate at which water flows is halved.

Rate = 100 / 2 = 50 cm³ / sec

Hence the rate of the flow of water now is 50 cubic centimeters per second.

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The complete question is as follow :

Water flows at a steady rate from a tap it takes 40 seconds to fill a 4 liter watering can from the tap. The rate at which water flows is halved.

4litre=4000cm³

Find the rate at which the water is now flowing from the tap. Give your answer in cubic centimeters per second (cm³/s).

Answer:

Therefore, 7/8 is equal to 87.5 percentage

Step-by-step explanation: brainliest?

Answer:

He will have 11/32 of an ounce for each of the two rings.

Step-by-step explanation:

He starts with 7/8 of an ounce.

He gives 3/16 of an ounce to Julie.

7/8 - 3/16 = 14/16 - 3/16 = 11/16

He now has 11/16 of an ounce left.

Now he divides 11/16 of an ounce in half.

(11/16) / 2 = 11/16 * 1/2 = 11/32

He will have 11/32 of an ounce for each of the two rings.

Answer:

714

Step-by-step explanation:

587,714 they arrange in orderly form

A number greater than 714,587 is 714,588

The complete question is added as an attachment

From the attached figure, we have:

Passengers = 714,587

Numbers greater than 714,587 would have a value greater than 714,587

This is represented as:

x > 714,587

The above inequality represents numbers greater than 714,587

An example of such number is 714,588

Hence, a number greater than 714,587 is 714,588

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Where T1/2 is the half-life time (in seconds) and lamda is the decay constant.

Answer:

B

Step-by-step explanation:

The answer you picked is correct because you need to use the distributive property.

Answer:

3(3y-1)

Step-by-step explanation:

Good job! Looks like you have selected the correct answer. 3(3y-1) simplifies to 9y-3.

Answer:

X intercepts: (100/3,0)

Y intercepts: (0,100)

Answer:

9+1224+12=1245

Hope this helps

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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The value of x for the given equation \(-\frac{1}{2}\) |2x + 6| + 2 = 0 is x = -1,-5.

An absolute value function is a useful algebra function composed of the variables in the absolute value bars. The absolute value function has the general form f(x) = a |x - h| + k, and the most commonly used form is f(x) = |x|, where a = 1 and h = k = 0. The absolute value function f(x) = |x| has a non-negative range and can be written as x if x 0 and -x if x 0 by expanding the function f(x) = |x|.

The given equation is \(-\frac{1}{2}\) |2x + 6| + 2 = 0.

Combine |2 x+6| and 1/2.

- \(\frac{|2 x+6|}{2}\) + 2 = 0

Subtract 2 from both sides of the equation.

- \(\frac{|2 x+6|}{2}\) = -2

Multiply both sides of the equation by -2.

-2 (- \(\frac{|2 x+6|}{2}\) ) = -2 × -2

Simplify both sides of the equation.

|2 x+6|=4

Remove the absolute value term. This creates a \($\pm$\) on the right side of the equation |x|= \($\pm$\) x.

2 x+6=\($\pm$\) 4

The total solution is the sum of the solution's positive and negative components.

x = -1,-5

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Step-by-step explanation:

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