A answer that has been rounded is called what

Answer:

No real solutions;

\(x=i+1.5\)

Step-by-step explanation:

The easiest method to solve an algebraic equation is to use inverse operations. This applies to the given equation;

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

- Take the square root of both sides

\(\sqrt{}\)                

==================================================================

As one can see, the right side is a negative number. However, one cannot take the square root of a negative number and get a real result. Therefore, one must use imaginary numbers. Remember, the imaginary unit (\(i\)) represents (\(\sqrt{-1}\)).

==================================================================

\(2x-3=2i\)

- Add (3) to undo the (-3)

\(+3\)          

\(2x=2i+3\)

- Divide by (2) to remove the coefficient of (2x)

÷\(2\)           ÷

\(x=\frac{2i+3}{2}\)

Simplify,

\(x=i+1.5\)

The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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Answer:

2/3 she will not win a prize

Step-by-step explanation:

1 in 3 balloons have a prize therefore 2 in 3 balloons do not have a prize

Answer:

never

Step-by-step explanation:

Any triangle can never be a parallelogram because it only has three sides.

quadrilateral with parallel sides is a parallelogram.

Answer:

150 divided by 8 which would give you 18.75

Step-by-step explanation:

The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

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Simplify:

Explanation:

A new dog park is enclosed by a fence and shaped like a parallelogram. So, the area and perimeter of the dog park is 2125 m² and 202.5 m.

Pictures can be seen in the attachment.

These are the specified parameters:

Coordinate points in the image = (-8, 0), (5, 5), (9, 0), and (-4, -5).

1 unit = 5 m

The area of the parallelogram of the dog park

Triangular base (b) = (9 - (-8)) × 5 m = 85 m

Triangle height (h) = (0 + 5) × 5 = 25 m

A = 2 × 1/2 × b × h

  = 2 × 1/2 × 85 m × 25 m

  = 2125 m²

Perimeter of the dog park

The line a goes through the point (-8, 0) and (5, 5)

a² = (5 - (-8))² + (5 - 0)²

   = 13² + 5²

   = 169 + 25

   = 194

a = √192

a = 13.85

Length a = 13.85 × 5 m = 69.25 m

The line b goes through the point (5, 5) and (9, 0).

b² = (9 - 5)² + (0 - 5²

   = 4² + (-5)²

   = 16 + 25

   = 41

b = √41

b = 6.4

Length b = 6.4 × 5 m = 32 m

Perimeter = 2 × (a + b)

                = 2 × (69.25 m + 32 m)

                = 2 × 101.25 m

                = 202.5 m

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Step-by-step explanation:

The Birch tree has a greater density.

The null hypothesis of the test of mean is H0 -μ=6.8.

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

An assumption used in statistical inference experiments is known as the alternative hypothesis. It contradicts the null hypothesis and is signified by Ha or H1. It is merely a different alternative from the null, to put it another way.

The mean score is given as 6.8, we have to test whether the score is equal to not.

H0- μ=6.8.

H1- μ\(\neq\)6.8.

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Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

The answer is 9cmsquare +5cmsquare equal to =106cm

Answer:

x=2

Step-by-step explanation:

2x+4=8; subtract 4 to both sides of the equation

2x +4-4=8-4

2x=4; divide both sides by 2

\(\frac{2}{2\\}\)x=\(\frac{4}{2}\)

1x=2 or just x=2

The average value of the function f(x) = \(9 - x^2\) over the interval [-3, 3] is 6.0000. The values of x in the interval for which the function equals its average value are x = -2.4495 and x = 2.4495.

To find the average value of a function over an interval, we need to calculate the definite integral of the function over the interval and divide it by the length of the interval. In this case, we have the function

f(x) = \(9 - x^2\) and the interval [-3, 3].

First, we calculate the definite integral of f(x) over the interval [-3, 3]:

\(\(\int_{-3}^{3} (9 - x^2) \, dx = \left[9x - \frac{x^3}{3}\right] \bigg|_{-3}^{3}\)\)

Evaluating the definite integral at the upper and lower limits gives us:

\(\((9(3) - \frac{{3^3}}{3}) - (9(-3) - \frac{{(-3)^3}}{3})\)\)

= (27 - 9) - (-27 + 9)

= 18 + 18

= 36

Next, we calculate the length of the interval:

Length = 3 - (-3) = 6

Finally, we divide the definite integral by the length of the interval to find the average value:

Average value = 36/6 = 6.0000

To find the values of x in the interval for which the function equals its average value, we set f(x) equal to the average value of 6 and solve for x:

\(9 - x^2 = 6\)

Rearranging the equation gives:

\(x^2 = 3\)

Taking the square root of both sides gives:

x = ±√3

Rounding to four decimal places, we get:

x ≈ -2.4495 and x ≈ 2.4495

Therefore, the values of x in the interval [-3, 3] for which the function equals its average value are approximately -2.4495 and 2.4495.

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(a) With 10 rectangles using left endpoints, 5 rectangles are contributing negative area values to the estimated net area. This means that the function is below the x-axis in those intervals.

The remaining 5 rectangles are contributing positive area values, as the function is above the x-axis in those intervals.

When using midpoints, the number of positive and negative rectangles may not be the same. It depends on the behavior of the function within each subinterval. The use of midpoints can result in a different distribution of positive and negative rectangles compared to using left endpoints.

(b) The error when using midpoints with 10 subintervals can be determined by calculating the difference between the estimated net area using midpoints and the actual net area.

To calculate the error, we need to evaluate the definite integral of the function over the given interval and subtract the estimated net area using midpoints.

Error = Actual Net Area - Estimated Net Area using Midpoints

Since the exact values are not provided, the specific error value cannot be determined without further information or calculations.

Using left endpoints with 10 rectangles, 5 rectangles contribute negative area values and 5 contribute positive area values. When using midpoints, the distribution of positive and negative rectangles may differ. The error when using midpoints can be calculated by subtracting the estimated net area using midpoints from the actual net area, but the exact error value cannot be determined without further information or calculations.

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Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

\(\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15\)

Answer: 714 and 715

Step-by-step explanation:

In mathematics, a Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal: 714 = 2 × 3 × 7 × 17, 715 = 5 × 11 × 13, 2 + 3 + 7 + 17 = 5 + 11 + 13 = 29.

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Based on the information given, the correct options will be:

a.) Mary would use the sample standard deviation to calculate a t-statistic.

c.) The value for the degrees of freedom for Mary's sample population is six.

One-sample t-test simply means a statistical hypothesis test that's used for the determination of whether an unknown population mean will be different from the specific value.

In this case, the value of the degree of freedom for the sample will be:

= (n - 1) = 7 - 1 = 6.

Also, it should be noted that Mary would use the sample standard deviation to calculate a t-statistic.

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Answer:

The answer is 1,657.5 miles

Step-by-step explanation:

First divide 510 by 20 510 ÷ 20 = 25.5 into 65 = 1657.5

Given that test of a new car results in 510 miles on 20 gallons of gas. By unitary method, you can drive miles on 65 gallons of gas.

Unitary method is a method of solving a problem wherein to find the value of k units, you first calculate the value of one item, then multiply the value of the one item to k.

Given in the question,

distance covered in 20 gallons of gas  = 510 miles

distance covered in 1 gallons of gas  = \(\frac{510}{20} = 25.5\) miles

distance covered in 65 gallons of gas = 25.5 * 65 miles = 1657.5 miles

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First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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Answer:

No. of ticket bought is 4

Step-by-step explanation:

Let the no. of ticket bought be x

Given cost of 1 ticket = $12

Therefore cost x ticket = x*cost of 1 ticket = x*$12 = $12x

parking fee = $5

given that it is flat so, whatever be the no. of ticket bought or family member,

the parking cost will remain $5 only.

Total money paid by family  = parking charge + cost x ticket = 5+12x

But , given that family paid total of $53

then

5 + 12x = 53

=> 12x = 53-5 = 48

=> x = 48/12 = 4

Thus, no. of ticket bought is 4.

This can be validated as  shown below

cost of 4 ticket as 12 each will be = 12*4 = 48

thus total money paid = $(48+5 )= $53

The probability that no students in a survey of five students will be in favor of opening a pub is approximately 0.32768 or 32.768%.

To calculate the probability that no students in a survey of five students will be in favor of opening a pub, we can use the binomial probability formula.

The probability of a single student being in favor of opening a pub is 0.20, and the probability of a single student not being in favor is 1 - 0.20 = 0.80.

Using the binomial probability formula, the probability of having no students in favor can be calculated as:

P(X = 0) = (0.80)^5

P(X = 0) = 0.32768

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Answer:

x*10+40 and 160 at the end of the year.

Step-by-step explanation:

The variable is the month it is unknown so we set it as x. Since it's accumulating more each month we times it. The number goes up by it 10. then you already have 40 sitting in the account so just add it to the total.

22 °C is a very fresh temperature, so I would not bring my winter coat

Explanation

Step 1

22 °C , F?

Let

c=22

replace

so, 22 °C is a very fresh temperature, so I would not bring my winter coat

The matrix for the total revenue for RACH heaven over the two-week period is [48 120 32 60]

To derive the matrix for the total revenue for RACH heaven over the two-week period, we need to multiply each element of the matrix A by the selling price of $4.

Given matrix A:

A = [12 30 8 15]

We can multiply each element of A by 4 to calculate the revenue for each type of pizza:

Total Revenue Matrix = 4 * A

= [(4 * 12) (4 * 30) (4 * 8) (4 * 15)]

= [48 12032 60]

Therefore, the matrix for the total revenue for RACH heaven over the two-week period is:

[48 12032 60]

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Answer: it's the last

Step-by-step explanation:

The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

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Answer:

Circle D

Step-by-step explanation:

The circumference of a circle can be calculated by multiplying the diameter by π.  Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.

The only circle for which we have been told the radius is Circle D.  The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in

There are 12 inches in 1 ft.

Therefore, the circumferences of the circles in order from smallest to largest is:  B < C < A < D

Proof

Diameters