work out the value of x :)

Answer:

Step-by-step explanation:

hii ,myself neha and I love animals , that's why I love my friends .

Answer:

finding if kg DJ of CM ignor

Step-by-step explanation:

Answer:

1) 10^2 + 1

2) ?

3) 2(3^3) + 11

4) 16^2 - 79

Step-by-step explanation:

1) 101 = 100 +1 = 10^2 +1

2) ?

3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11

4) 177=256-79 = 16^2 -79

Pls mark Brainiest :)

Answer:

36 miles.......................

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Given:

The coordinates of line are, (-3,2) and (1,10).

The objective is to choose the correct equation of line.

Explanation:

Consider the given coordinates as,

The general formula to find the equation of line using two points is,

On plugging the coordinates in the above equation.

Thus, the equation of the line obtained is y - 10 = 2(x - 1).

Hence, option (A) is the correct answer.

Answer:

Step-by-step explanation:

Given :-

The numerator of a fraction is 5 less than its denominator.

If 3 is added to the numerator and denominator both , the fraction becomes 4/5.

To Find :-

The Original Number

Solution :-

Let denominator of the fraction be = x

And then numerator be x – 5

Original fraction = (x – 5)/x

According to the Question,

⇒  (x – 5 + 3)/(x + 3) = 4/5

⇒ (x – 2)/(x + 3) = 4/5

⇒ 5(x – 2) = 4x + 12

(By cross multiplication)

⇒ 5x – 10 = 4x + 12

⇒ 5x - 4x = 12 + 10

⇒ x = 22

Original fraction = (x – 5)/x

Original fraction  = (22 – 5)/22

Original fraction = 17/22

Hence, the original number is 17/22.

Answer:

49.50

Step-by-step explanation:

8.00 x 4 = 32.00

35 x .50 = 17.50

32.00 + 17.50 = 49.50

Answer:

A. Function 2 because the slope is 5 and the slope of function 1 is 2.

Step-by-step explanation:

easy-peasy

Answer:

12x=4y........................................

Answer:

56

Step-by-step explanation:

7 and 8 makes 56.

(Any number that is a multiple of 7 or a factor of 7)

Answer:

7, 14, 21, 28, 35, 49, 56, 63, 70, 77, 84, 91, 98

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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L is the collection of all binary strings that contain the character "bob" and satisfy the requirement that the residue of 2n-i modulo 3 is 1, where n is the number of characters after the first instance of "bob."

The language L is defined as follows:

L = {w = bob1...bn : [2n-i]3 = 1; n > 0} U {0}

where b represents either 0 or 1, i is the position of the first occurrence of the letter b in w (i.e., the index of the first occurrence of "bob" in w), and [x]3 denotes the remainder of x when divided by 3 (i.e., the residue of x modulo 3).

In other words, L is the set of all binary strings that contain the substring "bob" and satisfy the condition that the residue of 2n-i modulo 3 is 1, where n is the number of characters after the first occurrence of "bob".

The language L also includes the string "0" as a special case.

For example, the following strings are in L: "bob1", "bob100", "1101bob010", "00101bob1000", "0".

The following strings are not in L: "0bob", "01bob0", "bob010", "0101bob0", "111".

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Considering the definition of the zeros of a quadratic function, it taks for the rocket 3.5 seconds to hit the ground.

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function, and  are those values ​​of x for which the expression is equal to 0.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

\(x1,x2=\frac{-b+-\sqrt{b^{2} -4xaxc} }{2xa}\)

The height, h, of a rocket (in feet) is given by h= -16t² + 36t + 70

Being:

when the rocket hits the ground, the height is 0. So, the zeros of the function are calculated as:

\(t1=\frac{-36+\sqrt{36^{2} -4x(-16)x70} }{2x(-16)}\)

\(t1=\frac{-36+\sqrt{1296 +4480} }{-32}\)

\(t1=\frac{-36+\sqrt{5776} }{-32}\)

\(t1=\frac{-36+76}{-32}\)

\(t1=\frac{40}{-32}\)

t₁= -1.25 s

and

\(t2=\frac{-36-\sqrt{36^{2} -4x(-16)x70} }{2x(-16)}\)

\(t2=\frac{-36-\sqrt{1296 +4480} }{-32}\)

\(t2=\frac{-36-\sqrt{5776} }{-32}\)

\(t2=\frac{-36-76 }{-32}\)

\(t2=\frac{-112 }{-32}\)

t₂= 3.5 s

Finally, since time cannot have negative values, it taks for the rocket 3.5 seconds to hit the ground.

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Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

The name of the variable that is used in a Linear Regression to predict another variable is usually called: explanatory or independent variable.

In linear regressions, it is regularly required to identify some variables that correspond to missing data, therefore, a variable is used to identify or predict those missing variables.

The explanatory variable is also often called the independent variable, because its variation over time does not depend on the changes that occur within other variables, allowing it to have its own projection within the line.

As explained above, whenever you want to predict a particular variable, you must first identify the explanatory variable and then use it to make the prediction of the missing variable.

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\(\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

\(x + 6y = 12 \\ \\ \longrightarrow \: 6y = 12 - x \\ \\ \longrightarrow \: y = \frac{12 - x}{6} \)

hope helpful :-;

Welp to solve this for y we need to first get the x out of the road by relocating it to the right

\(6y=12-x\)

Now we divide by 6 both sides

\(y=\frac{12-x}{6}\)

, which is our answer

hope it helps have a great time learning!

Step-by-step explanation:

7m - 17 = -24

7m -17 +17 = -24 + 17

7m = 17 - 24

7m = -7

7m/7 = (-7)/7

m = -1

The "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values a predetermined percentage of the time.

Thus, the "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

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Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

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(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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The probability that she will pick a black pen both times will be 11%.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

In this case, a box contains 6 black pens, 4 blue pens, and 7 red pens.

The probability that she will pick a black pen both times will be:

= 6/17 × 5/16

= 30/272

= 11%

The probability is 11%.

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Answer:

Given that a circle has a center (0,4) and the radius 5. 5. So the standard equation of the given circle is x2+(y−4)2=25.

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Give Brainlest

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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The side of the square is x^5 .

Area of a square = (side)² = a²,

Given;

area of a square = \(x^{10}\)

Equating it with the general formula of square

Area of a square = a²,

          a² =  \(x^{10}\)

Taking square root on both sides,

\(a = \sqrt{x^{10}} \\\\a = x^5\)

Hence, the side of the square is x^5.

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Answer:

Cecily's claim is true for all values of b.

Step-by-step explanation:

Cecily's claim is true for all values of b.

If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).