Encuentre dos números positivos cuyo producto es 25 y cuya suma es un mínimo. (Especifica el valor minimo y maximo si los dos valores no son lo mismo.)

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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The cost of the gas will be equal to £67.81 p.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that,

Initial gas reading = 8247

Final gas reading = 8631

The total consumed gas is given by,

Final gas reading - Initial gas reading  → 8631 - 8247 = 384

Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by

Cost of consumed gas = Units of gas consumed × Unit cost of gas

= 384 × 11p = 4224 p

100 p ≡ £ 1

4224 p  = £42.24 p

The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,

£25.57 + £42.24 = £67.81 p

The cost of the gas = £67.81 p

The complete question is given below,

The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working

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Answer:

839.369863

(Might need to round it depending on what the question requests)

Step-by-step explanation:

Step 1: I divided $61,274 by 73.

Step 2: I multiplied 839.369863 by 73, and I got 61,274.

---------------------------------------------------------------

If it asks to explain say this:

"I divided the amount of money spent by the total amount of laptops bought, and i got 839.369863, To make sure it can be multiplied by 73 to get $61,274, I multiplied 839.369863 by 73 to get $61,274."

By secant line formula, the missing value of the point S is equal to 4.

Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:

m = Δy / Δx

Where:

Then, the missing value of the variable y in the point S is:

(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)

- 7 / 7 = (y - 9) / 5

- 1 = (y - 9) / 5

- 5 = y - 9

y = 4

The missing value of the variable y is 4.

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The solutions of the equation x^2 - 6x + d = 0 are both integers and d is a prime number is 5.

From the information, the solution of the equation x^2-6x+d=0 are integers

To find d, the numbers which can be added or subtracted to get -6 is needed which when multiplied will give a prime number

In this case - 5- 1 = -6

And when multiplied (-5×-1) will give +5 which is a prime number.

Therefore, x^2-6x+5=0

This illustrates that d is 5.

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An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.

An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.

To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.

Mean (μ) = 69

standard deviation (σ) =8

Hence, due to population standard deviation (σ) is known to use the normal distribution.

x_ Norm (μ,σ)

x_ Norm (69,8)

Therefore, x_ random variable that represents the time of applicant;

P(X<x) = 0.97

Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.

P(z < 1.88) = 0.97

z < 1.88

(X - μ)/σ < 1.88

X < 1.88 (8) + 69

X < 84.04

The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.

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The fraction of a mile that Evan has to hike and the fraction he has hiked, gives the completed statement as follows;

[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex]. So the difference is closest to [tex]\frac{1}{2}[/tex]

A fraction is a representation of the part of a whole of an item or collection of items. The distance Evan's hiking trail of [tex]\frac{5}{6}[/tex] miles is a fraction of a mile.

The length of the trail = [tex]\frac{5}{6}[/tex] mile

The distance Evan has hiked = [tex]\frac{2}{5}[/tex] mile

The distance Evan has left to hike is given by the difference between the length of the trail and the distance Evan has hiked as follows;

Distance remaining = [tex]\frac{5}{6} -\frac{2}{5} = \frac{13}{30}[/tex]

Representing the numbers in decimal form, we have;

[tex]\dfrac{5}{6} = 0.8\overline 3[/tex]

The value of [tex]\frac{5}{6}[/tex] is close to 1

[tex]\dfrac{2}{5} = 0.4[/tex]

The value of [tex]\frac{2}{5}[/tex] is closest to 0.5

[tex]\dfrac{13}{30} = 0.4\overline 3[/tex]

The difference between [tex]\frac{5}{6}[/tex] and [tex]\frac{2}{5}[/tex], which is [tex]\frac{13}{30}[/tex] is therefore closest to [tex]\frac{1}{2}[/tex]

The completed statement is therefore;

[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex] so the difference is closest to [tex]\frac{1}{2}[/tex]

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Answer:

He has to sell 5000 to earn $1000

Step-by-step explanation:

1000/0.2 = 5000

The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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Answer: $58.50

Step-by-step explanation:

    We will set up a proportion to help us solve.

[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]

     Next, we will cross-multiply.

15 * x = 175.5 * 5

15x = 877.5

x = $58.50

Centriod!

A centroid is also known as the centre of gravity.

Hope this answers your question!

Answer: centroid

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

The required minimum sample size is 2875

Given that,

A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.

From the standard normal table, the z-critical value at 90% confidence is 1.65.

The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.

n = (Zc / E )² x P(1-P)

  = (1.65 2x0.12(1 - 0.12)0.01

  = 2874.96 ~ 2875

Hence, 2875 is the necessary number of samples, minimum.

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Answer: B. ≤

Step-by-step explanation:

≤

Answer:

2 d.p = 41.87

Step-by-step explanation:

41.86/632

check whether its below or above 5 then round it to the nearest number

2 d.p = 41.87

Answer: 41.87

Step-by-step explanation:

41.86632 to 2 dp is 41.87

Each motorcycle travel a distance of 240 miles for the faster motorcycle and 120 miles for the slower motorcycle.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = time it took the faster motorcycle to travel

If the faster motorcycle travels 1 hr longer than the slower motorcycle, then the slower motorcycle travels x - 1 hours.

The product of the rate of speed and time is equal to the distance.

Hence, the distance traveled by the faster motorcycle is 80x, while the distance traveled by the slower motorcycle is 60(x - 1).

If the faster motorcycle travels twice the distance of the slower motorcycle, then the distance traveled by the slower motorcycle is 80x/2.

60(x - 1) = 80x/2

Simplify and solve for x.

60(x - 1) = 80x/2

60x - 60 = 40x

20x = 60

x = 3

distance traveled by the faster motorcycle = 80x = 80(3) = 240 miles

distance traveled by the slower motorcycle = 80x/2 = (80)(3)/2 = 120 miles

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The slopes 0/3 and 9/0 are not perpendicular .

In the question  ,

the two slopes are given ,

the value of slope 1 (m₁) = 0/3

the value of slope2 (m₂) = 9/0 .

We know that the two slopes m₁ and m₂ are perpendicular is

m₁ × m₂ = -1 .

So , for the given values ,

On substituting the values of m₁ and m₂ ,

we get ,

= (0/3) × (9/0) ≠ -1

Since the product of the two given slope is not equal to -1 .

the slopes are not perpendicular .

Therefore , The slopes 0/3 and 9/0 are not perpendicular .

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The expression for the cost of each scarf is s/4.

According to the question,

We have the following information:

Let s be the total amount Heidi spent for scarves. each of the 4 scarves that she bought cost the same.

Now, the cost of 1 scarf can be easily found by dividing the total cost of the scarves by the number of scarves.

(If we would have to find the cost of 15 scarves then first we would have used division and then multiplication.)

So, we have the following expression:

4 scarves = s

Cost of one scarf = s/4

Hence, the expression for the cost of each scarf is s/4.

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Answer:

Step-by-step explanation:

1.
4,000 mm to km = 0.004

4,000 mm to m = 4
4,000 mm to cm = 400

2.

12,000 km to m = 12000000
12,000 km to cm = 1.2e+9
12,000 km to mm = 1.2e+10

3.
5,800 m to km = 5.8
5,800 m to cm = 580000
5,800 m to mm = 5800000

4.
2 mm to km = 2e-6
2 mm to m = 0.002
2 mm to cm = 0.2

5.
40,108 to m = 40108000
40,108 to cm = 4010800000
40,108 to mm = 40108000000

The correct statement regarding whether the graph is a one-to-one function is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.

These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.

From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

The problem asks for the correct statement regarding the function given on the image at the end of the answer.

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The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.

A diagrammatic depiction of a set of facts is called a graph, chart, or diagram.

Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions. Graphs should ideally be pleasing to the eye.

Please be aware that the terms graph, chart, and diagram can be imprecise and are sometimes used synonymously.

Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions.

Given,

Slope m=3

y-intercept (c)=-2

The slope-intercept form is given as

y=mx +c

Therefore, y=3x-2

The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.

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A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.

Hence, the example is . the color of a piece of meat

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It will take 6 days for the sister to earn as much as the brother.

Two or more expressions with an equal sign are defined as an equation.

Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.

The income of the sister in x days is:

30x - 60

The income of the brother in x days is:

20x

The income of the sister and the brother is equal when:

30x - 60 = 20x

30x - 20x = 60

10x = 60

x = 6

Hence, It will take 6 days for the sister to earn as much as the brother.

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Answer: b(3)=-10

Step-by-step explanation:

Is this what you meant?

The cost of each bottle of water is equal to the cost of each bag of chips.

The expression:

The expression is defined as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

Here it is given that 4 bottles, 2 bags of chips, and a fruit salad.

The price of a fruit salad is $5.

The expression given is:

4x + 2x + 5

To find the relation between the price of a bottle and a bag of chips, we have:

Price of bottles = 4x/4 = x

Price of bag of chips = 2x/ 2 = x

Therefore we get that the cost of each bottle and each bag of chips is the same.

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The complete question is:

Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount Jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is ______the cost of each bag of chips.

The time taken by the rocket to reach its maximum height is 1.25 seconds  and the maximum height is 32 feet.

Given equation:

h(t) = -16t^2+40t+7 and initial velocity is 40 feet per second and launching pad is 7 feet tall.

a = 1

t = -b/2a

= -40/2*-16

= -40/-32

= 40/32

= 1.25 seconds

h(2.5) = -16(1.25)^2+40*1.25+7

= -1.5625*16+50+7

= -25+57

= 32 feet.

Therefore The time taken by the rocket to reach its maximum height is 1.25 seconds  and the maximum height is 32 feet.

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The Little Monsters of Beast Academy completed 15 problems during the math meet in March.

The issue is a simultaneous equation involving two equations and two unknowns.

These are the equations that are created:

Let the quantity of questions that the students at the Beast Academy have answered in

The Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5

In Math Meet. they resolved $frac23$ = 2x/3 problems i

Hence:

y/5 + 2x/3 = 12

x + y = 30

When the equation is solved,

x = y = 15

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The amount to be paid to the broker is 2167.025. Therefore option b is correct.

Percentage:

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, and none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Here we have to find the amount to pay to the broker.

The given values are:

Market rate = 86.681

The commission charges by broker = 2.5%

The broker has to pay = 86.681 × 2.5% × 1000

                                     = 86.681 × 2.5/100 × 1000

                                    = 86681 × 0.025

                                    = 2167.025

Therefore the amount paid to the broker is 2167.025.

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Answer:

B

I got it right

Step-by-step explanation: