Inductive reasoning involves using _______ information to create a _______ rule. A. specific; general B. general; specific C. new; algebraic D. important; geometric Please select the best answer from the choices provided

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The correct answer is "Oy-axis" as it represents the line of reflection for triangle DEF to triangle D'EF.

To determine the line of reflection that maps triangle DEF to triangle D'EF, we can examine the coordinates of the corresponding vertices.

Given that E' is located at (10, 4) and the corresponding vertex E in triangle DEF is at (-10, 4), we can observe that the x-coordinate of E' is the negation of the x-coordinate of E.

This suggests that the line of reflection is the y-axis. A reflection across the y-axis results in a transformation where the x-coordinate of each point is negated while the y-coordinate remains the same.

Since "Oy-axis" indicates the line of reflection from triangle DEF to triangle D'EF, it is the appropriate response.

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Answer:

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

28.52

Step-by-step explanation:

105.87 - 77.35 = 28.52

Answer:

x = √30

Step-by-step explanation:

im not sure but you can try :)

Answer:

688.19 inches

Step-by-step explanation:

Answer:

I believe it to be $22

Step-by-step explanation:

Answer:

57inches

Step-by-step explanation:

In order to determine how far the wheel travels, we will have to find the circumference of the wheel. This is expressed as;

Circumference of the wheel = 2πr

r is the radius of the wheel = 9in

Substitute

Circumference of the wheel = 2(3.14)(9)

Circumference of the wheel = 56.52inches

Hence the wheel travels 57inches to the nearest inch

BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD

An isosceles trapezoid is a quadrilateral (has four sides and four angles) in which the bases are parallel, base angles are equal, legs are equal and the diagonals are equal.

In trapezoid ABCD, BD and AC are the diagonals. Hence:

BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD

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Answer:

1 3 5

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

.7x = 420

x = 420/0.7

x = 600

Answer:

slope = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + y = - 7 ( subtract x from both sides )

y = - x - 7 ← in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes

then the slope of a line parallel to it is - 1

Answer:

20 percent

Step-by-step explanation:

\(\frac{400}{500}\)\(=0.8\)

\(1-0.8=0.2\)

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps

Answer:

x > 3

explanation:

the number line extends from 3 and beyond right; towards positive infinity.

the number line is not dotted so it should be greater than only.

Like fractions are fractions with the same denominator.EX - \(\frac{2}{5}\)   &\(\frac{4}{5}\).Unlike fractions are fractions with different denominators. EX-\(\frac{3}{4}\)&\(\frac{5}{7}\).

An element of a whole is a fraction. The quantity is mathematically represented as a fraction, in which the numerator and denominator are split in half. Both are integers in a simple fraction. The numerator or the denominator of a complex fraction both contain a fraction.

These three categories are proper fractions, improper fractions, and mixed fractions. Fractions are expressions that have a numerator and a denominator. These two words are used to classify its types.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

The critical value is \(T = 4.604\).

The 99% confidence interval for the average net change in a student's score after completing the course is (6.236, 22.164).

Step-by-step explanation:

The first step to solve this question is finding the sample mean and sample standard deviation:

14,11,18,9,19

Sample mean is sum of all values divided by the number of values. Thus:

\(\overline{x} = \frac{14+11+18+9+19}{5} = 14.2\)

The sample standard deviation is the square root of the division of the sum of the subtractions squared of each value and the mean, and the number of values. Thus:

\(s = \sqrt{\frac{(14-14.2)^2+(11-14.2)^2+(18-14.2)^2+(9-14.2)^2+(19-14.2)^2}{5}} = 3.868\)

Confidence interval:

We have the standard deviation for the sample, and so we use the t-distribution to build the confidence interval.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 5 - 1 = 4

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 4 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 4.604.

The critical value is \(T = 4.604\).

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 4.604\frac{3.868}{\sqrt{5}} = 7.964\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 14.2 - 7.964 = 6.236.

The upper end of the interval is the sample mean added to M. So it is 14.2 + 7.964 = 22.164.

The 99% confidence interval for the average net change in a student's score after completing the course is (6.236, 22.164).

Applying the exterior angle theorem, the value of x in the given triangle is: x = 6.

The exterior angle theorem states the relationship between the two remote angles in a triangle and the angle measure of the external angle formed by an extended side outside the triangle.

According to the exterior angle theorem:

The measure of the exterior angle = sum of the measures of the two remote angles in a triangle.

Given the following:

Measure of angle YWX = (2x + 12)°

Measure of angle WXY = (2x + 5)°

Measure of angle XYZ = (7x - 1)°

Therefore:

m∠XYZ = m∠YWX + m∠WXY [exterior angle theorem]

Substitute

(7x - 1)° = (2x + 12)° + (2x + 5)°

Solve for x

7x - 1 = 2x + 12 + 2x + 5

Combine like terms

7x - 1 = 4x + 17

7x - 1 + 1 = 4x + 17 + 1 [addition property of equality]

7x = 4x + 18

7x - 4x = 4x + 18 - 4x [subtraction property of equality]

3x = 18

3x/3 = 18/3 [division property of equality]

x = 6

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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Answer:

x = -2

Step-by-step explanation:

x = -5 is a vertical line going through the x-axis, so any line that is x = a number will be parallel to it.

The equation of a line passing through point P(-2,6) and parallel to x = -5 is x = - 2.

A slope is the rate of change of the y-axis with respect to the x-axis.

The slope of a vertical line is undefined because tan90° is undefined.

First, a line that has an equation x = -5 is a vertical line at x = - 5 all the values of y from negative infinity to positive infinity along the y-axis, and the slope is undefined.

Line parallel to the line x = -5 and has coordinate points P(-2,6) is also a vertical line at x = -2 for every possible real value of y.

So, it's equation is x = -2.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

The cost of one adult ticket is $6 and the cost of one student ticket is $8.

Explanation:

Let the cost of one adult ticket=a

Let the cost of one student ticket=s

They sell 7 adult tickets and 13 student tickets for a total of $146.

They sell $276 worth of tickets by selling 14 adult tickets and 24 student tickets.

Thus, the system of equations to model the scenario is:

Multiply the first equation by 2 and the second by 1.

Subtract:

Next, we solve for 'a' using any of the equations.

Therefore, the cost of one adult ticket is $6 and the cost of one student ticket is $8.

Check

the correct answer is negitive one hundred eighty (-180)

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Step-by-step explanation:

Greetings !

Given expression

\(2 \sqrt{2} \times 7 \sqrt{18} \)

Apply radical rule

\( \sqrt{a} \sqrt{b} = \sqrt{ab} \)

where

\(a \geqslant 0,b \geqslant 0\)

Thus

\( \sqrt{2} \sqrt{18} = \sqrt{2 \times 18} \)

Multiply the numbers 2.18=36

\( \sqrt{36} \)

\( = 2 \sqrt{36} \times 7 \\ \sqrt{36} = 6\)

simplify

\(2 \times 6 \times 7 =84\)

Hope it helps!

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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Answer:

6sqr2, the 2nd option

Step-by-step explanat