Best one gets brainlist

Answer:

6x²

Step-by-step explanation:

3x×2x=6...... then an x²

Therefore answer is 6x²

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer: 4

Step-by-step explanation: if you divide 12 by 3 you get 4

Answer:

Step-by-step explanation:

It belong to 6 and 2.5

Answer:

x + x + 1 + x + 2 = 78  or  3x + 3 = 78

Step-by-step explanation:

Let x = smallest5 of the three integers.

Then, the other two integers are x + 1 and x + 2.

The equation is:

x + x + 1 + x + 2 = 78

which can be simplified to

3x + 3 = 78

The equation of the line in point slope form is y - 105 = 4 (x - 10) and the equation of the line in slope intercept form is y = 4x + 65.

Slope is defined as the change in the y coordinates of the point divided by the change in x coordinates of the point.

Slope of a line through any two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁) / (x₂ - x₁)

We have the points (10, 105), (15, 125), (20, 145), (25, 165) and (30, 185).

Considering the points (10, 105) and (15, 125),

m = (125 - 105) / (15 - 10) = 20/5 = 4

Equation of a line in point slope form is,

y -  y₁ = m (x - x₁)

Substituting m = 4 and a point (10, 105),

y - 105 = 4 (x - 10)

Equation of a line in slope intercept form is,

y = mx + c, where c is the y intercept which is the point where the line intersects the Y axis. The x coordinate at that point will be zero.

Substituting x = 0 in the point slope form,

y - 105 = 4 (0 - 10)

y - 105 = 4 × -10

y = -40 + 105

y = 65, which is the y intercept.

The equation of the line in slope intercept form is,

y = 4x + 65.

Hence the equation of the line in point slope form and slope intercept form are y - 105 = 4 (x - 10) and y = 4x + 65 respectively.

To learn more about Slope, click :

https://brainly.com/question/3605446

#SPJ1

The area of the region enclosed by the curves is (3√3 - 13)/3.

To sketch the region enclosed by the given curves 4x+y^2=12, and x=y, we can begin by graphing the curves.

First, let's graph the curve 4x+y^2=12 by rewriting it in terms of y:

\(y^2 = 12 - 4x\)

This is a parabola that opens to the right and is centered at (3,0), with a width of 2√3.

Next, let's graph the line x=y, which passes through the origin at a 45-degree angle.

The region enclosed by the curves is the shaded region in the figure below:

To find the area of this region, we need to integrate with respect to x or y. Since the curves intersect at x=3, it's convenient to use vertical strips and integrate with respect to x.

The height of each strip is given by the difference between the y-coordinates of the parabola and the line at the corresponding x-value, which is:

y = √(12 - 4x) - x

The width of each strip is dx.

Thus, the area of the region is given by the integral:

S = ∫[0,3] (√(12 - 4x) - x) dx

We can simplify this integral by using the substitution u = 12 - 4x, du/dx = -4:

S = ∫[0,3] (√u - 3 + u/4) (-du/4)

S = ∫[0,12] (√u - 3 + u/4) (-du/4) (by extending the limits of integration)

S = [\(-u^{(3/2)/6} - 3u/4 + u^{2/32\)]_[0,12]

S = (3√3 - 13)/3

For more such questions on curves visit:

https://brainly.com/question/30452445

#SPJ11

The area of the cloth is approximately 248.3 square inches.

We can use the given angle of elevation and the side lengths of the triangle to find the area of the cloth using the formula:

Area = (1/2) * base * height

In this case, the base of the triangle is the side opposite the 35 degree angle, and the height is the perpendicular distance from the base to the vertex opposite the base.

Let's label the sides of the triangle as follows:

The side opposite the 35 degree angle is a, which we don't know.

The side adjacent to the 35 degree angle is b, which is 20 inches.

The side opposite the right angle is c, which is the height we want to find.

We can use trigonometry to find a and c. Using the definition of the tangent function:

tan(35) = c/a

Solving for a, we get:

a = c / tan(35)

Using the Pythagorean theorem:

a^2 + b^2 = c^2

Substituting a in terms of c, we get:

(c / tan(35))^2 + 20^2 = c^2

Simplifying and solving for c, we get:

c = 20 * tan(35) / (1 - tan^2(35))

c ≈ 22.88 inches

Now we can find the area of the triangle:

Area = (1/2) * base * height

Area = (1/2) * a * c

Area ≈ 248.3 square inches

Therefore, the area of the cloth is approximately 248.3 square inches.

Learn more about area here

https://brainly.com/question/25292087

#SPJ11

Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

To know more about vectors visit:

https://brainly.com/question/14447709

#SPJ11

3.44 square units  is the shaded area in the figure which has a square and  congruent quarter circles

Firstly let us find the area of square

Area of square = side × side

=4×4

=16

Now let us find the area of circle as there are four sectors in the diagram which makes a circle

Area of circle =πr²

=3.14×4

=12.56 square units

Now let us find the shaded area by finding the difference of area of circle and square

Area of shaded region =16-12.56

=3.44 square units

To learn more on Area click:

https://brainly.com/question/20693059

#SPJ1

Answer:

a horizontal line is graphed

Step-by-step explanation:

It does not change it will always stay at the same y but just different x.
The rate of change/slope is the change in y divided by a corresponding change in x.

Hi. . .

A, and D.

Cause- A, and D do not show the constant rate of the change.

Hope It Helps . . .

All of these fractions are equivalent to a number greater than 26, none of them is not equivalent to 26

To determine which fraction is not equivalent to 26, convert each fraction to a decimal or mixed number and compare it to 26.

131/3 = 43.666

123612/36 = 3433

4124/12 = 343.666

696/9 = 77.333

Since all of these fractions are equivalent to a number greater than or equal to 26, none of them is not equivalent to 26. Therefore, the answer is "none of the above".

Learn more on fraction on https://brainly.com/question/17220365

#SPJ4

The probability that there will be at least 4 typos on page 301 is 0.847

To solve this problem, we need to make some assumptions. Let's assume that the number of typos on each page follows a Poisson distribution with a mean of 6 typos per page, and that the number of typos on one page is independent of the number of typos on any other page.

Under these assumptions, we can use the Poisson distribution to calculate the probability of observing a certain number of typos on a given page.

Let X be the number of typos on page 301. Then X follows a Poisson distribution with a mean of 6 typos per page. The probability of observing at least 4 typos on page 301 can be calculated as follows

P(X ≥ 4) = 1 - P(X < 4)

= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

Using the Poisson distribution formula, we can calculate the probabilities of each of these events

P(X = k) = (e^-λ × λ^k) / k!

where λ = 6 and k is the number of typos. Thus,

P(X = 0) = (e^-6 × 6^0) / 0! = e^-6 ≈ 0.0025

P(X = 1) = (e^-6 × 6^1) / 1! = 6e^-6 ≈ 0.015

P(X = 2) = (e^-6 × 6^2) / 2! = 18e^-6 ≈ 0.045

P(X = 3) = (e^-6 × 6^3) / 3! = 36e^-6 ≈ 0.091

Plugging these values into the equation above, we get

P(X ≥ 4) = 1 - (e^-6 + 6e^-6 + 18e^-6 + 36e^-6)

≈ 0.847

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

2.133 g/cm³

Step-by-step explanation:

We are given;

Mass = 832 g

Length = 12 cm

Width = 6.5 cm

Height = 5 cm

Now, volume of a block is given by the formula; length × width × height = 12 × 6.5 × 5 = 390 cm³

Now, density = mass/volume

Thus; density = 832/390 = 2.133 g/cm³

Answer:

7/2

Step-by-step explanation:

rewrite the equation

7 / 6 / 3

7 /2

simplest doesn't mean answer fully just get to the simplest form where there are only absolute numbers

Complete question is;

A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that​ don't wear well. How should he word his guarantee if he is willing to replace approximately​ 10% of the​ tires?

Answer:

The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Step-by-step explanation:

Let X = Life expectancy of the automobile tire

For the normal distribution, we are given;

μ = 34000

σ = 2700

Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.

Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:

P(X ≤ y) = 0.1

Using the z formula, we have;

P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1

Thus;

P(Z ≤ ([y - μ]/σ) = 0.1

From z-distribution table the Z-score at 0.1 is approximately -1.2816

This is P(Z ≤ -1.2816)

Thus;

[y - μ]/σ = -1.2816

(y - 34000)/2500 = -1.2816

y - 34000 = -1.2816 × 2500

y - 34000 = -3204

y = 34000 – 3204

y = 30796

So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Answer:

answer is A

Step-by-step explanation:

p: shape is a triangle

q: a shape has four sides

The statement that has to be true is p v q.

Logic is a means of expression which involves the use of symbols to represent statements.

Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.

Learn more about logic statement:https://brainly.com/question/1807373

#SPJ1

Answer:

y=1x+1

Step-by-step explanation:

y=mx+b form

b is where the y-axis lands on the graph when x is zero

=(x,y) and (0,1)

m is the slope

Answer:

36

hope this helps

Step-by-step explanation:

The optimal marketing expenditure that results in the maximum sales is x = 10.

To find the optimal marketing expenditure (x) that will result in the maximum sales (y), we can use Excel's nonlinear solver tool. Here are the steps:

Step 1: Enter the equation \(y = 5x - 0.25x^2 + 10\) in an Excel worksheet.

Step 2: Highlight an empty cell where you want to display the optimal value of x.

Step 3: Go to the "Data" tab and click on "Solver" in the "Analysis" group.

Step 4: In the Solver Parameters dialog box, set the objective to "Max", enter the cell containing the equation for y as the "Set Objective" field, and enter the range containing the variable x as the "By Changing Variable Cells" field.

Step 5: Click on "Add" in the "Constraints" section and set the "Cell Reference" to the cell containing the value of x, the "Relation" to "Greater than or Equal to", and the "Value" to zero.

Step 6: Click on "Solve" and the nonlinear solver will find the optimal value of x that maximizes y.

This can be seen by plugging x = 10 into the equation for y and verifying that the result is a maximum.

For such more questions on results

https://brainly.com/question/30205148

#SPJ8

Note: The complete question is: The relationship between marketing expenditures (x) and sales (y) for a certain company can be modeled by the following equation:

y = 5x − 0.25x^2 + 10

Use the nonlinear solver tool to determine the optimal marketing expenditure (x) that will result in the maximum sales (y) for this company.

Please show all your work and explain your steps clearly.

Therefore, the correct option is "Cannot be determined with the given information." when the least squares regression line for a data set is y=2.3−0.1x and the standard deviation of the residuals is 0.13.

To determine if a case with the values x = 4.1, y = 2.34 qualifies as an outlier, we need to compare the observed value of y (2.34) with the predicted value of y based on the regression line (Y).

For this case, the predicted value of y (Y) can be calculated using the equation of the least squares regression line:

Y = 2.3 - 0.1x

Y = 2.3 - 0.1 * 4.1

Y = 2.3 - 0.41

Y = 1.89

Now, we can compare the observed value of y (2.34) with the predicted value of y (1.89). If the observed value significantly deviates from the predicted value, it can be considered an outlier.

In this case, the observed value (2.34) is greater than the predicted value (1.89), suggesting that it is above the regression line. However, without knowing the specific criteria or threshold for defining an outlier, it cannot be conclusively determined if this case qualifies as an outlier based solely on the information given.

To know more about least squares regression line,

https://brainly.com/question/29463195

#SPJ11

Answer:

20

Step-by-step explanation:

The length if \(\overline{DE}\) is \(\sqrt{(1-4)^2+(4-0)^2}=5\).

Since all four sides of a rhombus are congruent, the perimeter is \(5(4)=20\).

The solution of the given problem of probability comes out to be

a)0.35

b)0.3625

c)0.23125

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance integers can be represented by any number between 0 and 1, for which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) we can compute the integral of f(x) over the entire real line:

integral from -infinity to infinity of f(x) dx

= integral from -infinity to 3 of 0 dx + integral from 3 to 5 of (0.075x + 0.2) dx + integral from 5 to infinity of 0 dx

= (0.075/2)x² + 0.2x, evaluated from x=3 to x=5

= (0.075/2)(5²- 3²+ 0.2(5 - 3)= 0.35

Since the integral of f(x) over the entire real line is equal to 1, we have verified that the total area under the density curve is indeed 1.

(b) To calculate P(X ≤ 4), we can integrate the density function from x = 3 to x = 4:

P(X ≤ 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2)x² + 0.2x,

evaluated from x=3 to x=4

= 0.3625

To compare this probability to P(X & lt; 4),

we can integrate the density function from x = 3 to x = 4:

P(X &lt; 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2) x²+ 0.2x,

evaluated from x=3 to x=4

= 0.3625

Since P(X ≤ 4) = P(X &lt; 4) in this case, the two probabilities are equal.

(c) To calculate P(3.5 ≤ X ≤ 4.5), we can integrate the density function from x = 3.5 to x = 4.5:

P(3.5 ≤ X ≤ 4.5) = integral from 3.5 to 4.5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=3.5 to x=4.5

= 0.26875

To calculate P(X &gt; 4.5), we can integrate the density function from x = 4.5 to x = 5:

P(X &gt; 4.5) = integral from 4.5 to 5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=4.5 to x=5 = 0.23125

To know more about probability visit:

brainly.com/question/11234923

#SPJ4

When using the normal distribution as an approximation, the value of the standard deviation is typically chosen based on the specific context and requirements of the problem at hand.

In many cases, a commonly used rule of thumb is to approximate the standard deviation by dividing the range (difference between the maximum and minimum values) by 4.

However, it's important to note that this rule of thumb is not universally applicable and may not provide an accurate approximation in all scenarios. The choice of the standard deviation should ideally be based on a careful analysis of the data or knowledge of the underlying distribution.

Additionally, in some cases, standard deviation may already be known or given, and there may be specific guidelines or formulas available for determining the appropriate standard deviation for approximation. Therefore, it is crucial to consider the specific context and consult relevant resources or statistical techniques to determine the most suitable standard deviation for the normal distribution approximation.

To know more about distribution visit;

brainly.com/question/29062095

#SPJ11

The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

The annual percentage rate, or APR, is the interest rate that is charged on a loan balance that is still outstanding. The expected cost of the annual fees connected with a certain sort of borrowing is what the APR conceptually reflects.

APR is a commonly used formula by lenders that enables borrowers to compare various loan choices. The stated interest rate on a loan is typically insufficient on its own to help borrowers choose the best loan option.

A loan with a low stated interest rate could also have significant costs attached that should not be disregarded. The best alternative might be a loan with a smaller fee structure and a higher advertised interest rate. APR is calculated as (Periodic Interest Rate x 365 Days) x 100 i.e.

\($\mathrm{APR=\left(\left(\frac{\frac{Fees+Interest}{Principal}}{n} \right) \times 365 \right) \times 100}\)

​where:

Interest = Total interest paid over life of the loan

Principal = Loan amount

n = Number of days in loan term

Fees = 0

​Interest = 2​Interest = $519.48

Principal = $624.00

n = 52 × 7 = 364 days

Plug the data in the formula:-

\($\mathrm{APR=\left(\left(\frac{\frac{0+519.48}{624}}{364} \right) \times 365 \right) \times 100}\)

APR = 83.48%

Thus, The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

To learn more about APR refer to  :

brainly.com/question/2772156

#SPJ1

A type I error occurs when a researcher mistakenly rejects a true null hypothesis. In other words, it is a false positive result. Let's break down what happens in a type I error:

1. The researcher starts with a null hypothesis, which assumes that there is no significant relationship or effect between the variables being studied.

2. To test the null hypothesis, the researcher collects data and performs statistical analysis.

3. In a type I error, the researcher incorrectly concludes that there is a significant relationship or effect when, in fact, there is none.

4. This error can happen due to various reasons, such as sample size, random chance, or flaws in the experimental design.

To avoid type I errors, researchers typically set a predetermined significance level (often denoted as α) before conducting the study. The significance level represents the probability of making a type I error. By setting a lower significance level, such as α = 0.05, researchers aim to reduce the chances of mistakenly rejecting the null hypothesis.

In the context of the given question, if the researcher is trying to reduce error and avoid a type I error, it means they want to minimize the risk of incorrectly inferring findings to another practice setting. This would increase the confidence that nurses have in applying the research findings to their own work.

To know more about type I error refer here:

https://brainly.com/question/20914617

#SPJ11

Answer:

Pretty sure you got it right cause that's what I got...maybe were both wrong ‍♀️

The probability of passing the test is 0.1719 or 17.19%.

To find the probability of passing the test, we need to calculate the probability of getting 7, 8, 9, or 10 correct answers out of 10 questions. Since each question has a 50% chance of being correct (true or false), we can use the binomial probability formula to find the probability of getting x correct answers out of 10 questions:

P(x) = (10! / (x! * (10 - x)!)) * (0.5^x) * (0.5^(10 - x))

For x = 7:

P(7) = (10! / (7! * (10 - 7)!)) * (0.5^7) * (0.5^(10 - 7)) = 0.1172

For x = 8:

P(8) = (10! / (8! * (10 - 8)!)) * (0.5^8) * (0.5^(10 - 8)) = 0.0439

For x = 9:

P(9) = (10! / (9! * (10 - 9)!)) * (0.5^9) * (0.5^(10 - 9)) = 0.0098

For x = 10:

P(10) = (10! / (10! * (10 - 10)!)) * (0.5^10) * (0.5^(10 - 10)) = 0.00098

The probability of passing the test is the sum of these probabilities:

P(passing) = P(7) + P(8) + P(9) + P(10) = 0.1172 + 0.0439 + 0.0098 + 0.00098 = 0.1719 or 17.19%

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11