I need help solving this equasion

Answer:

81

Step-by-step explanation: 9 * 9 = -81 * -1 = 81

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

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Tim drove at a distance of 511 km in 7 h. His average driving speed in km/h is 73.

By computing Tim's average driving speed, we have to divide the total distance that he traveled by the time it takes him to complete the whole journey. In this respect, Tim drove a total distance of 511 km in 7 hours.

Average driving speed = Total distance/Total time taken

By putting the values in the equation we get :

Average driving speed =\(\frac{ 511 km}{7 h}\)

Now by computing  the average driving speed:

Average driving speed = 73 km

So, Tim's average driving speed was 73 km/h.

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Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

  12*(x-2)+3*x-((1)/(2)*(x+6)+2)=0

Simplify   1/2

                   1  

 ((12•(x-2))+3x)-((—•(x+6))+2)  = 0  

                   2

                                       6

((12 • (x - 2)) +  3x) -  (——————— +  2)  = 0  

                                         2      

Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

2=2/1= 2 . 2 / 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(X+6) + 2 . 2 / 2 = X+10 / 2

                                   (x + 10)

 ((12 • (x - 2)) +  3x) -  ————————  = 0  

                                       2

                                 (x + 10)

 (12 • (x - 2) +  3x) -  ————————  = 0  

                                   2      

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

                          15x - 24                        (15x - 24) • 2

    15x - 24 =  ————————  =  ——————————————

                            1                                       2      

Pull out like factors :

  15x - 24  =   3 • (5x - 8)

Adding up the two equivalent fractions

3 • (5x-8) • 2 - ((x+10))/2 = 29x - 58/2

Pull out like factors :

  29x - 58  =   29 • (x - 2)

29 • (x - 2)/2 =0

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

   29•(x-2)

 ———————— • 2 = 0 • 2

      2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  29  •  (x-2)  = 0

Equation which are never true

 Solve :    29   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a single variable equation

Solve  :    x-2 = 0  

Add  2  to both sides of the equation :  

                     x = 2

PLease Mark Brainliest!

Answer: x=2

explanation: just right

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:
Figure A: 3, 4, 5
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10

Figure B: 6, 8, 10

So the scale factor applied to Figure A to produce Figure B is 2

The distance covered in each month = 194.89 miles

The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.

Distance. A line or line segment's length between two points along the line or line segment

According to the given information

Using unitary method

Distance covered in 9 months = 1,754 miles

Distance covered in each month = \(\frac{1754}{9}\) miles

So,

The distance covered in each month = 194.89 miles

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The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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According to the given volume of the cylinder, the rate of change of radius is 5.179

Volume of cylinder:

The general formula to calculate the volume of the cylinder is,

V = πr²h

Where r = radius of the base, h = height of the cylinder.

Given,

The  height of a cylinder is increasing at a constant rate of 7 inches per minute. the volume remains a constant 889 cubic inches. at the instant when the radius of the cylinder is 99 inches.

Here we need to find the rate of change of the radius

According to the concept of chain rule,

=> dv/dt = (dv/dr) . (dr/dt)

Here

dv/dt = rate of change of the volume,

dv/dh = differentiation of the volume of cylinder with respect to the height, And dh/dt = rate of change of the height.

Here we have the values,

dv/dt = 889 ft³/min,

dh/dt = 7 ft/min,

Here the differentiation of equation 1 with respect to h is written as,

=> πr²h

where r = 99 inches.

Then the value of,

=> dv/dh = 2(3.143×99)h

=> dv/dh = 622.314h

Now, we have to Substitute these values,

=> 889 = 622.314h(7)

=> 841 = 4356.198h

=> h = 5.179

Therefore, the rate of change of radius is 5.179.

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Answer:

standard deviation

Step-by-step explanation:

A standard deviation  summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)\)

\(m=\frac{-10-10}{5-\left(-5\right)}\)

\(m=-2\)

Using the point-slope form to determine the line equation

Point slope form:

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

\(y-10=-2\left(x-\left(-5\right)\right)\)

\(y-10=-2\left(x+5\right)\)

Add 10 to both sides

\(y-10+10=-2\left(x+5\right)+10\)

simplify

\(y=-2x\)

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Answer:

Step-by-step explanation:

Given equation:

Multiply all terms by (x - 3)(x - 2):

Compare this to the given form to get:

Correct choice is A

On solving

x=4±√3

So

a=4 and b=3

Answer:

the answer is5/6

Step-by-step explanation:

you can rewrite 2/3 plus 1/6 as:

23+16

To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator. To convert 2/3 we need to multiply it by the appropriate form of 1. We can multiply by 1 because 1 times anything does not change the value:

(22⋅23)+16⇒2⋅22⋅3+16⇒46+16⇒5/6

hope this helps

pls mark me as the brainliest..!

Answer:

5/6

Step-by-step explanation:

Answer:

Volume = 4.2m³

Total surface area = 31.84m²

Lateral surface area = 24.84m²

Step-by-step explanation:

1m = 100cm

Cuboid's;

Length (l) = 10m

Width (w) = 35cm = 0.35m

height(h) = 1.2m

Volume:

Volume (v) of a cuboid is given by: Length × Width × Height = l × w × h

v = 10m × 0.35m × 1.2m = 4.2m³

Total Surface Area:

Total surface area (\(A_{T}\)) is given by adding the areas of all rectangles that make the cuboid.

\(A_{T}\) = 2(10m × 1.2m) + 2(0.35m × 1.2m) + 2(10m × 0.35m)  = 24m² + 0.84m² + 7m² = 31.84m²

\(A_{T}\) = 31.84m²

Lateral Surface Area:

Lateral surface area (\(A_{L}\)) is found by subtracting base and top area from the total surface area.

Base and top area = 2(10m × 0.35m) = 7m²

∴ \(A_{L}\) = 31.84m² = 7m² = 24.84m²

To solve this problem, we have to classify the given angles.

Complementary angles are angles that sum 90 degrees.

Supplementary angles are angles that sum 180 degrees.

Let's sum the given angles.

Given that they don't sum 90 nor 180, they are neither.

Therefore,

Increasing the given sample size will decreases the probability because σx will decreases as n value increases.

In Statistitics whenever we test a hypothesis for testing a statistic, we use confidence interval. Confidence interval is on either side of an assumed value a margin of error. Margin of error is calculated as critical value * sigma/sqrt of n. Thus we find that whenever n increases, margin of error decreases.

Thus making confidence interval narrower and thus making probability for accepting null hypothesis a less value. As the pattern sizes increase, the range of every sampling distribution decreases so they emerge as more and more leptokurtic. The variety of the sampling distribution is smaller than the variety of the authentic populace. Therefore, as a pattern length increases, the pattern imply and general deviation might be nearer in fee to the populace imply μ and general deviation σ.

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The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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The smallest number of rectangles required will be  30.

Given:- The sides of the rectangle are in the ratio of 5:4

let, length=5x

breadth=4x

Area = 20x²

Area of smaller rectangle =2*3

                                           =6cm²

Now, take numbers which are in the ratio of 5:4;

suppose, Case 1=10:8

                 Case2 = 15:12

For Case 1;

number of rectangles needed =10*8/2*3

                                                     =13.3333

This means it is overlapping hence, not possible.

For Case 2;

number of rectangles needed=15*12/2*3

                                                  =30

therefore, the smallest number will be 30.

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Answer:

AB= 4\(\sqrt{3}\)

AC= 8

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

BC=2

AC=4

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

I'm not sure about the next 2, you can try to confirm these answers with someone else:

BC= 3\(\sqrt{3}\)

AC= 6\(\sqrt{3}\)

Step-by-step explanation:

If it's a 30,60,90 degree triangle we can find all of the lengths of each side with the formula.

Answer:

4) 8  

5)  4\(\sqrt{3}\)

6) \(\sqrt{3}\)

7) 3

8) 9/2 or 4.5

9)  9/2· \(\sqrt{3}\) or approx 7.8

Step-by-step explanation:

ratio of sides in 30-60-90° triangles are 1: \(\sqrt{3}\): 2

30° angle represents side length of 1

60° angle represents side length of \(\sqrt{3}\)

90° angle represents side length of 2

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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If B is between A and C, then the value of x is 2.

It is given that B is somewhere between A and C which shows that ABC is a straight line. We are given that AB = 3x + 2, BC = 7, and AC = 8X - 1.

Now, as B is between A and C, we know that

AC = AB + BC

We will substitute the given values of AB, BC, and AC.

After substituting, we get our equation as;

AC = AB + BC

(8x - 1) = (3x +2) + (7)

8x - 1 = 3x + 9

Now, combine the like terms.

8x - 3x = 9 + 1

5x = 10

x = 10/2 = 5

Therefore, the value of x comes out to be 2.

If B lies between A and C, then the value of x is 2.

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The complete question is "B is between A and C, AB = 3x + 2, BC = 7, and AC = 8x – 1. Find the value of x."

Answer:

this gvfyftvyccg c

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

60/6=10

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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The equivalent expressions that should simplify to (5x+7)-3(x-4) are:

The given expression is (5x+7)-3(x-4).

If you distribute the values, the expression simplifies to 5x+7-3x+12.

Further simplifying gives 2x+19.

The equivalent expressions that should simplify to (5x+7)-3(x-4) are:

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