Solve for X

WILL GUVE BRAINIEST ON THE FIRST ANSWER

15POINTS

Answer:

Number of story books bought = 100

C.P. of each book = Rs. 135

C.P. of all 100 books = Rs. (135×100)= Rs. 13500

C.P. of 90 books = Rs. (135×90)= Rs. 12150

Number of books donated = 10

Number of books sold = 100-10=90

Loss% in the transaction = 2%

S.P. of all books = (C.P./100)(100-loss%)

                         =Rs. (12150/100×98)

Thus, S.P. of each book

= Rs. {(12150/100×98)÷90}

= Rs. (12150/100×98/90)

= Rs. 132.3

Step-by-step explanation:

nos of books=100

cp=13500 total

donation=10

remaining books=90

sp=cp-Loss%of cp

sp=13500-2×135

sp=13500-270

sp=13230Rs

Is the total sp of 90 books

each book is sold at 13230/90Rs (use calculator to get result

Answer:

Answer for #10:

\(y = 2 \: and \: x = 1\)

Answer for #1:

\(x = 2 \: and \: y = - 1\)

Step-by-step explanation:

In order to solve a simultaneous equation using the substitution method you have to:

Use one of the equation and substitute it into the other equation, in this case equation B was substituted into equation A.

\(equ. \: a = (2x - 3y = 7) \\ equ. \: b = (x = 1 - y)\)

Therefore since x = 1 - y, equation A would be:

\(2(1 - y) - 3y = 7 \\ (2 - 2y) - 3y = 7 \\ - 2y - 3y = 7 - 2 \\ - 5y = 5 \\ y = - 1 \: and \: x = 2\)

Answer:

180

Step-by-step explanation:

The perimeter of geometrical shapes is calculated by adding side lengths:

72 + 30 + c = p first we need to find the value of c

The square length of hypotenuse is equal to sum of the square length of the legs:

30^2 + 72^2 = c^2

900 + 5184 = c^2

6084 = c^2 find the root of the both sides

78 = c

78 + 72 + 30 = 180

Answer:

289 miles.

Step-by-step explanation:

4 and 15 mins is 4.25 hours.68 c 4.25 = 289.Hope this helps.

the trapezoidal rule approximation for the definite integral ∫₁⁷ √(1+x⁴) dx, with n=3, is approximately 59.29.

To approximate the definite integral ∫₁⁷ √(1+x⁴) dx using the trapezoidal rule with n=3, we need to divide the interval [1, 7] into three subintervals of equal width and then calculate the areas of the trapezoids.

The width of each subinterval is given by h = (b - a) / n, where b is the upper limit (7), a is the lower limit (1), and n is the number of subintervals (3).

h = (7 - 1) / 3 = 2.

Now, we need to evaluate the function at the boundaries of each subinterval: x₀ = 1, x₁ = 3, x₂ = 5, x₃ = 7.

f(x₀) = √(1 + x₀⁴) = √(1 + 1⁴) = √2 ≈ 1.4142.

f(x₁) = √(1 + x₁⁴) = √(1 + 3⁴) = √82 ≈ 9.0554.

f(x₂) = √(1 + x₂⁴) = √(1 + 5⁴) = √626 ≈ 25.0159.

f(x₃) = √(1 + x₃⁴) = √(1 + 7⁴) = √2402 ≈ 49.015.

Now, we can calculate the approximation using the trapezoidal rule:

T₃ = (h/2) * [f(x₀) + 2f(x₁) + 2f(x₂) + f(x₃)]

   = (2/2) * [1.4142 + 2(9.0554) + 2(25.0159) + 49.015]

   = 0.5 * [1.4142 + 18.1108 + 50.0318 + 49.015]

   = 0.5 * 118.5728

   = 59.2864.

Rounding the final answer to two decimal places, we get:

T₃ ≈ 59.29.

Therefore, the trapezoidal rule approximation for the definite integral ∫₁⁷ √(1+x⁴) dx, with n=3, is approximately 59.29.

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Without the dataset, we cannot compute the regression line or identify the outlier. However, outliers can have an impact on the regression analysis, and their influence can be assessed by examining the changes in the line's parameters upon their removal.

To compute the least-squares regression line for predicting the president's age from the first lady's age, we need a dataset that includes the ages of both the president and the first lady. Without this data, it's not possible to perform the calculations and provide the regression line.

However, I can explain the concept of outliers and influential points in regression analysis. An outlier is an observation that significantly deviates from the overall pattern of the data. It can have a strong influence on the regression line if its removal results in a significant change in the line's slope or intercept.

To determine which point is an outlier, we would need the dataset. Outliers are typically identified by examining the residuals (the differences between the observed values and the predicted values). Points with large residuals are potential outliers.

If an outlier is identified, it can be removed from the dataset, and a new regression line can be calculated without the outlier. This new line may provide a better fit to the remaining data points.

To assess whether the outlier is influential, we examine the effect of its removal on the regression line. If the outlier has a substantial impact on the line's parameters (slope and intercept), it can be considered influential. In such cases, the outlier may be driving the relationship observed in the data.

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Answer:

well written words are "wordy" and often difficult to read but if you write stuff in numerical expressions you can read it quicker and it's clearer

Answer:

C?

Step-by-step explanation:

I think it is C but I am not sure.

Answer:

0.59 A

Step-by-step explanation:

The current in a certain resistor is 0.50 A

The potential difference is 110v

The operating potential is 130v

The current in the same resistor can be calculated as follows

= 110/0.50

= 220

= 130/220

= 0.59

Hence the current is 0.59 A

\(\text {Hi! Let's Solve this Problem!}\)

\(\text {The First Step is to Convert all Mixed Numbers into Improper Fractions:}\)

\(\text {Multiply 5*5 and get 15. Now add 1 and get 16.}\\\text {5 1/3 = 16/3}\)

\(\text {Multiply 2*5 and get 10. Now add 4 and get 14.}\\\text {2 4/5 = 14/5}\)

\(\text {Your new Problem should be: 16/3-14/5}\)

\(\text {The Next Step is to Subtract:}\)

\(\text {16/3-14/5=}\)

\(\text {Your Answer would be:}\)

\(\fbox {38/15}\)

\(\text {Your Final Step is to Convert 38/15 into a Mixed Number:}\)

\(\text {38/15=}\)

\(\text {Your Final Answer would be:}\)

\(\fbox {2 8/15}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Answer:

The answer is "Video game: $76.8"

Step-by-step explanation:

Please find the complete question in the attachment file.

\(\to 100 \% + 28 \% = 128 \%\)

Given the \(28\%\) increase, its original proportion is added to \(100\%\).

\(\to P = 1.28 \times 60 = \$ 76.8\)

By using the price ratio equation, its percentage or expense of its item was increased.

It will take 13 weeks to gather funds that sum up to $4500.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: I have $2485 and I save $155 weekly

Thus amount left to be gathered is $4500-$2485=2015

If I save $155 weekly then we get = $2015/$155

                                                        =13 weeks

Hence, It will take 13 weeks to gather funds that sum up to $4500.

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Answer:

x = 6

Step-by-step explanation:

Solve for x

\(11+x=7-4x\)

Add 7 on both sides

\(18+x=4x\)

Subtract x on both sides (same as 1x)

\(18=3x\)

Divide by 3

\(6=x\)

the number 0.285714 is a rational number

To determine what the error is, first we need to understand the definition of a rational and non-rational number.

Rational numbers are numbers that can be expressed as the ratio of two integers. They are either finite or have a recurring nature.

An integer is referred as a whole number. It is not a fraction. It can be positive, negative or zero.

Irrational numbers are the opposite of rational numbers. They cannot be expressed as a ratio of two integers.

Now considering our question: 0.285714

We can tell this number is finite as we can as express it as a ratio of two integers.

From the above, we can tell the number 0.285714 is a rational number. The error lies in the fact that the number was not repeated at any point.

Answer:

1,2,3,6

Step-by-step explanation:

6x1, 2x3, 3x2, 6x1

Answer y=-7

i have done this before please tell me if you NEED an explanation

Hi there!

We are given the slope of the line and a point that it passes through.

Using this information, we can solve this problem.

Start by writing this equation in Point-Slope form:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0(x+5)

y=7

That's the equation. Hope it helps! :-)

~GracefulGirlie

Good luck on your assignment. :-)

Answer:

x = -16

Step-by-step explanation:

2x - 1/4x= -28

2x - 0.25x= -28

1.75x = -28

1.75x/1.75 = -28/1.75

x = -16

Answer:

• 1/5=2/10

• 1/5=3/15

• 1/5=4/20

Explanation:

We draw horizontal lines across each of the diagrams.

Case 1

There are a total of 10 boxes.

There are two shaded boxes.

An equivalent form for this is:

Case 2

There are a total of 15 boxes.

There are three shaded boxes.

An equivalent form for this is:

Case 3

There are a total of 20 boxes.

There are four shaded boxes.

An equivalent form for this is:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

One Rule ; \(x^1 =x\)

Zero Rule \(x^0 =1\).

Product Rule ; \(x^m x^n = x^m^+^n\)

Quotient Rule;  \(x^m/x^n = x^m^-^n\)

Power Rule; \((x^m)^n=x^m^n\)

Tower Rule \(a^{m^n}\)

Fraction Rule \(a^\frac{1}{n} =\sqrt[n]{a^1}\)

The distance between Blueville from Greentown is found to be 71.35 miles.

We can solve this problem by using the Pythagorean theorem. Let x be the distance between Blueville and Greentown. Then, we have a right triangle with, one leg of length x (the distance between Blueville and Greentown) another leg of length 141 miles (the distance between Blueville and Yellowsburg) and a hypotenuse of length 158 miles (the distance between Greentown and Yellowsburg)

From Pythagorean theorem, we have,

x² + 141² = 158²

Simplifying and solving for x, we get:

x² + 19881 = 24964

x² = 5083

x ≈ 71.35

Hence, Blueville is approximately 71.35 miles from Greentown.

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Answer:

71miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.

__

  7 + 11 = 18 > 14 . . . . Will make a triangle.

__

  2 + 8 = 10 . . . not greater than 10. Will not make a triangle.

__

This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...

  a +b > c  and  b +c > a  and  c +a > b

_____

Additional comment

There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.

Answer:

Below

Step-by-step explanation:

a) Density =  mass/ volume

  you are given  mass ( 6725kg) and volume (2.5 m^3) and you want

              kg / m^3    this would be   6725 kg / 2.5 m^3 = 2690 kg/m^3

b) given density = 2690 kg/m^3    multiply by m^3 to get  kg

                               2690 kg / m^3   *  1.3 m^3  = 3497 kg

The series [infinity] xn n! n = 0 converges for all real values of x.

The given series [infinity] xn n! n = 0 is a power series with terms xn n! n. To determine the values of x for which the series converges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's apply the ratio test to the given series:

lim┬(n→∞)⁡〖|(x(n+1)(n+1)!)/(xn n!)|〗

Simplifying the expression:

lim┬(n→∞)⁡〖|(x(n+1))/(xn)| * 1/(n+1)|〗

As n approaches infinity, the ratio x(n+1)/xn approaches x/x = 1. Additionally, the term 1/(n+1) approaches 0. Therefore, the limit simplifies to:

lim┬(n→∞)⁡〖|1 * 0| = 0|〗

Since the limit is less than 1, the ratio test confirms that the given series converges for all real values of x.

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The probability that a valve was ground twice can be calculated using Bayes' theorem. Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%, and the probability of a valve meeting the specification given that it was reground twice is 100%. Therefore, using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as (0.14 x 0.19) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029. Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

Bayes' theorem is a mathematical formula used to calculate conditional probabilities. It states that the probability of an event A given an event B is equal to the probability of event B given event A, multiplied by the probability of event A, divided by the probability of event B. In this problem, we want to calculate the probability of a valve being ground twice given that it was scrapped.
To apply Bayes' theorem, we first need to identify the relevant probabilities. We are given that after the first grind, 62% of the valves meet the specification, 24% are reground once, and 14% are scrapped. We are also given that of those valves that are reground, 81% meet the specification, and 19% are scrapped.
Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%. The probability of a valve meeting the specification given that it was reground twice is 100%, since all valves that are reground twice are guaranteed to meet the specification.
Using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as follows:
P(G2|scrapped) = P(scrapped|G2) x P(G2) / P(scrapped)
where P(scrapped|G2) is the probability of a valve being scrapped given that it was reground twice, P(G2) is the probability of a valve being reground twice, and P(scrapped) is the probability of a valve being scrapped.
We already know that P(scrapped|G1) = 0.19, P(scrapped|G2) = 0, P(G1) = 0.24, P(G2) = (1 - 0.62 - 0.24 - 0.14) x P(G1) = 0.027, and P(scrapped) = 0.14.
Plugging in the values, we get:
P(G2|scrapped) = (0 x 0.027) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029
Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

In summary, we can use Bayes' theorem to calculate the probability of a valve being ground twice given that it was scrapped. We first identify the relevant probabilities, such as the probability of a valve being scrapped given that it was reground once or twice. We then apply Bayes' theorem to obtain the desired probability. In this case, the probability that a valve was ground twice given that it was scrapped is 2.9%.

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The most probable number of hits is 4, with a probability of 0.25 or 25%.

Given that p = 0.35 and the number of shots fired is 10,

The most probable number of hits will be 10 x 0.35 = 3.5 hits.

Since we can't have half a hit, the most probable number of hits is either 3 or 4.

Using the formula above, we can find the probability of getting exactly 3 hits:

P(x = 3) = C(10,3)(0.35)3(1 - 0.35)10 - 3= 0.218

Using the formula above, we can find the probability of getting exactly 4 hits:

P(x = 4) = C(10,4)(0.35)4(1 - 0.35)10 - 4= 0.250

Therefore, the most probable number of hits is 4, with a probability of 0.25 or 25%.

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Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

Answer:

A

Step-by-step explanation:

The completing the square method is important when transforming a quadratic equation to \((x - a)^2 =b\) form. The values of a and b are 4 and 3

Given:

\(x^2 - 8x + 13 = 0\)

Subtract 13 from both sides

\(x^2 - 8x + 13 -13= 0-13\)

\(x^2 - 8x= -13\)

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

Next, we perform the following operations

Take the coefficient (k) of x

\(k = -8\)

Divide k by 2

\(k/2 = -8/2\)

\(k/2 = -4\)

Square both sides

\((k/2)^2 = (-4)^2\)

\((k/2)^2 = 16\)

Back to the equation, we add 16 to both sides

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

\(x^2 - 8x= -13\)

\(x^2 - 8x + 16 = -13 +16\)

\(x^2 - 8x + 16 =3\)

Expand the left-hand side

\(x^2 - 4x -4x+ 16 =3\)

Factorize

\(x(x - 4) -4(x- 4) =3\)

Factor out x -4

\((x - 4) (x- 4) =3\)

Express as squares

\((x - 4)^2 =3\)

Given that:

\((x - a)^2 =b\)

By comparison:

\(a =4;\ b =3\)

The values of a and b are 4 and 3, respectively.

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