What is the formula for the sum of two whole numbers is 72. The difference is 48 what are the two numbers

Answer: the answer is 100

Step-by-step explanation:

The process capability index for the process is 0.1754.

The first sided specification limit will be:

= (Upper specification limit - mean)/(3 × standard deviation)

= (23.1 - 22.9)/(3 × 0.19)

= 0.2/0.57

= 0.3508

The second sided specification limit will be:

= (22.9 - 22.8)/(3 × 0.19)

= 0.1/0.57

= 0.1754

The process capability index for the process is 0.1754 wine it's the lower value.

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Nathan travels approximately 489.12 meters while on the ride on the Ferris wheel

To determine the distance Nathan travels on the Ferris wheel, we can calculate the circumference of the Ferris wheel and then multiply it by the number of rotations.

The circumference of a circle can be found using the formula: C = 2πr, where

C is the circumference and

r is the radius.

Given that the radius of the Ferris wheel is 26 meters, we can calculate the circumference:

C = 2π(26)

C ≈ 2 × 3.14 × 26

C ≈ 163.04 meters

Total distance = 3 × Circumference

Total distance ≈ 3 × 163.04

Total distance ≈ 489.12 meters

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Step-by-step explanation:

Using Pythagoras theorem

\( {x }^{2} = {15}^{2} - {8}^{2} \ \\ {x}^{2} = 225 - 64 \\ {x}^{2} = 161 \\ x = \sqrt{161} \\ x = 12.69 \\ x = 12.7{ nearest \: tenth} \)

Answer: 5

Step-by-step explanation:

these two triangles are a dilation of each other. triangle QRS is a dilation of triangle ABC times two

Answer:

a) the answer it 10 so no

b) the answer is −39 so nah

c) the answer is 48, nope

d) the answer is  34, did you mean to write 34 instead of 24?

Step-by-step explanation:

The perimeter of the triangle that's is given in the question will be 8x + 1.

It should be noted that the perimeter simply means the addition of all the sides that are given.

In this case, this is a triangle and we have to add all the sides. It should be noted that this will be illustrated as:

= 2x + 2x + 3 + 4x - 2

= 8x + 1

Therefore based on the information, it should be noted that perimeter of the triangle that's is given in the question will be 8x + 1.

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X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.

The simple interest of an amount of money can be counted by the following formula.

I = P₁ - P

I = P × r × t

Where

We have

Find the final account balance!

After 9 years, the simple interest of the savings is

I = P × r × t

I = $425.00 × 2.7% × 9 years

I = $3,825.00 × 0.027

I = $103.28

The final account balance would be

I = P₁ - P

$103.28 = P₁ - $425.00

P₁ = $425.00 + $103.28

P₁ = $528.28

Hence, after 9 years, the account balance would be $528.28.

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The expected value of the prospect is $10, the expected utility is √10, the certainty equivalent is $7.07, and Alex is risk-averse. When considering the prospect ($16,p; $4,1 −p), it is impossible for Alex's expected utility from the prospect to equal $5. The range of Alex's expected utility depends on the value of p.

For the given prospect ($16,0.5; $4,0.5) and Alex's utility function u($x) = √x, we can calculate the expected value, expected utility, and certainty equivalent, and determine Alex's attitude towards risk.

The expected value of the prospect can be calculated by multiplying each outcome by its corresponding probability and summing them. In this case, it is (16 × 0.5) + (4 × 0.5) = $10.

The expected utility of the prospect is found by applying the utility function to each outcome, multiplying by its probability, and summing them. It is (√16 × 0.5) + (√4 × 0.5) = √10.

The certainty equivalent is the guaranteed amount that Alex would be willing to accept instead of the uncertain prospect. It is the value at which Alex's utility is equal to the expected utility of the prospect. By solving the equation √x = √10, we find the certainty equivalent to be $7.07.

Alex is risk-averse because the certainty equivalent ($7.07) is less than the expected value ($10). Risk-averse individuals prefer a certain outcome with a lower expected value over an uncertain prospect with a higher expected value.

The graph of Alex's utility function (√x) would be an increasing concave curve. The certainty equivalent (CE) would be marked at the point where the utility function intersects the expected utility (EU) line, and the expected value (EV) would be marked at the corresponding x-value.

When considering the prospect ($16,p; $4,1 −p), it is not possible for Alex's expected utility from the prospect to equal $5 since √x ≠ 5 does not have a solution. The possible range of Alex's expected utility depends on the value of p, where 0 ≤ p ≤ 1.

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Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20

Answer:

16.5+13.6+12.4.17.7= 60.2

60.2÷4 =15.05

Answer:

Step by step solution

Step-by-step explanation:

\(a_1 = -1\\a_4 = 14\\a_4 = a_1 + 3d\\14 = -1 + 3d\\15 = 3d\\d = 5\\a_1 = -1\\a_2 = 4\\a_3 = 9\\a_4 = 14\)

Answer:

11111/100000

Step-by-step explanation:

Good luck

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

74 reais

Step-by-step explanation:

Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?

O lucro é representado como 7x - 17

onde x = número de fones de ouvido vendidos

Se 13 fones de ouvido foram vendidos, o lucro será:

(7 * 13) - 17

= 91 - 17

= 74 reais

The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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If 537¹⁰²² were calculated the digit farthest to the right be 9.

If you started calculating 537¹⁰² it would not be possible , and your calculator doesn't display enough digits for you to be able to read off the ones digit for this very large number, so you have to figure out another way to "see" the ones digit. A good place to start might be to look at the ones digit for powers of 7 because 7 is the ones digit of 537. Maybe there will be a pattern:

7⁰ = 1 , 7² = 49, 7³ = 343, 7⁴ = 2401 , 7⁵ = 16807 , 7⁶ = 117649

7⁷ = 823543 and so on .

It looks like the pattern of the unit place digits is 1, 7, 9, 3, 1, 7, 9, 3 with the sequence of these 4 digits repeating over and over again. Now, if you can decide where in this pattern the unit place digit of  537¹⁰² falls, you'll have the problem solved.

So the number falling on the unit place digit is 9 when the power is in 2 so if 537¹⁰² is solves we would get 9 at the ones place according to the pattern we have seen earlier.

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Answer: We have one km being covered in one minute. So how many km do we cover in one hour? Remember, there are 60 minutes in one hour. Do you think it might be 60 km in one hour? Can you say that a different way, say number of km in one hour? 60 km in one hour. Close. Very good. Now let’s clean up your answer and just say 60 km per hour or 60 ``````````````````````.

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Step-by-step explanation:

5x-2 and 5x+2 are corresponding angles

They add up to 180 degrees

5x-2 + 5x + 2 = 180

10x = 180

x = 18

I hope this helps!!!

Answer: y=36+1.50x

Step-by-step explanation:

Given: Daily wages = $36

Commission per pair of shoes he sells = $1.50

Let y= Total he will make in one day by selling x shoes .

Total earnings per day = Daily wages + Commission (Number of shoes)

y=36+1.50x

Hence, a function to represent the total (y) he will make in one day in relation to the number of shoes he sells: y=36+1.50x

Answer: 25

Step-by-step explanation:

part of a low is anything lower than 1oo

twice of 1/8 = 2/8 = 1/4

Answer:

25%

Step-by-step explanation:

"twice" means two times.

"twice the value of 1/8" is

2 × 1/8

(to multiply a whole number times a fraction, multiply the big number × the top number)

2 × 1/ 8 is 2/8

2/8 is 1/4.

1/4 = .25 = 25%

Since the answer is a percent, change 1/4 to a decimal, .25, change the decimal to a percent.

Or you could change 1/4 to 25/100. Percent means "per hundred" 25/100 is 25%.

The value of x if number of men is equal to number of women, is,

⇒ x = 8

We have to given that;

Number of men voters = √(9+2x) - √2x

And, Number of women voters = 5/√9+2x

Now, We have number of men is equal to number of women. ​

Hence, We get;

⇒ √(9+2x) - √2x = 5/√9+2x

⇒ √(9+2x) - 5/√9+2x = √2x

⇒ [(9 + 2x) - 5] /√9+2x = √2x

⇒ (4 + 2x) / √9+2x = √2x

⇒ (4 + 2x) =  √9+2x × √2x

⇒ (4 + 2x)² = 2x (9 + 2x)

⇒ 4x² + 16 + 16x = 18x + 4x²

⇒ 16 = 2x

⇒ x = 16 / 2

⇒ x = 8

Thus, The value of x is,

⇒ x = 8

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Answer:

2a(3a + 8)

Step-by-step explanation:

Combine like terms

6a2 + 15 + a

6a2 + 16a

In a time series design, a researcher collects data on a dependent variable (DV) at multiple time points before and after the implementation of a treatment. If the researcher notes that every time sampled individuals are observed on the DV, the average score increases, it may be tempting to attribute this variation to the treatment.

However, caution should be exercised when making such conclusions. While the observed trend in the DV may be associated with the treatment, it's essential to consider alternative explanations, such as maturation, history, or regression to the mean. Maturation refers to the natural developmental processes that occur in participants over time, which might contribute to the observed changes. History refers to external events that could impact the DV, unrelated to the treatment. Regression to the mean occurs when extreme scores naturally become closer to the average over time, which might be mistaken as a treatment effect.

To confidently attribute variation in the DV to the treatment, the researcher should consider using a control group and a comparison group design. This allows for the comparison of changes in the DV between those who received the treatment and those who did not, reducing the likelihood of confounding variables.

In summary, although the increasing average scores in a time series design may suggest a relationship between the treatment and the DV, the researcher should be cautious when attributing this variation solely to the treatment. Other factors and potential confounding variables must be considered before making any definitive conclusions.

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\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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