J.D. Power and Associates says that 70 percent of car buyers now use the Internet for research and price comparisons.


Required:

a. Find the probability that in a sample of 6 car buyers, all 6 will use the Internet. (Round your answer to 4 decimal places.)

b. Find the probability that in a sample of 6 car buyers, at least 3 will use the Internet.

c. Find the probability that in a sample of 6 car buyers, more than 2 will use the Internet.

d. Find the mean and standard deviation of the probability distribution.

The value of  f(x) = x² + 3 at

(a) f(6) = 39

(b) f(-6) = 39

To work with these functions, we just need to put the value of x in the given function  f(x) = x² + 3  i.e. substituting 6 and -6 into the equation per variable, then solving and simplifying as needed, to get the answer  

(a)  f(x) = x² + 3

      f(6) = \(6^{2}\) + 3          

             = 39

Hence, f(6) = 39

(b)  f(x) = x² + 3

     f(-6) = \((-6)^{2}\) + 3

             = 39

Therefore, the value of function f(x) = x² + 3 at f(6) and f(-6)​ is the same that is 39.

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- since they are perpendicular, they would add up to 90°

- set them up.

7x + 2 + 5x + 4 = 90

12x + 6 = 90

12x = 84

x = 7

-- let me know if you have questions regarding this.

The variable "home prices in a small town" is quantitative. Quantitative variables are those that can be measured numerically and represent some kind of quantity or amount.

In this case, home prices are typically represented by numerical values such as dollar amounts.

On the other hand, qualitative variables are non-numerical and represent categories or qualities.

Since home prices in a small town can be expressed as numerical values, the variable is considered quantitative.

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Answer:

6 cups

Step-by-step explanation:

jeremiah 4× the recipe

3/4×4=3

so 1 1/2×4=6

The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.

To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.

The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.

Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:

θ = arcsin(opposite / hypotenuse)

θ = arcsin(1.2 / 4000)

θ ≈ 0.000286478 radians

To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:

Arc measure (in degrees) = θ * (180 / π)

Arc measure ≈ 0.000286478 * (180 / π)

Arc measure ≈ 0.0164 degrees

Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

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Answer:

Average speed

= 5 5/6 mph , or

= 5.83 mph (to 2 decimals)

Step-by-step explanation:

Average speed is total distance divided by the total time it takes to cover the given distance.

Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.

Let

x = distance uphill, and also distance downhill.

Total distance = 2x miles

Total time = x/5 + x/7 hours  = 12x/35 hours

Average speed

= total distance/total time

= 2x / (12x/35) mph

= 70x / 12x

= 5 5/6 mph

= 5.83 mph (to 2 decimals)

Therefore , the solution of the given problem of equation comes out to be the line's y-intercept is 20, and its x-intercept is 0.8.

The equation y=mx+b serves as the basis for a recovery model based on linearity. B is the inclination, and m is the y-intercept. The above sentence is usually referred to as the "mathematical difficulty with two variables" even if y but also y are different components. Bivariate linear equations have two components. For applications of linear functions, there are no easy solutions.

Here,

We set y=0 and solve for x to determine the line's x-intercept:

=> 2.5x + 0.1(0) = 2

=> 2.5x = 2

=> x = 2/2.5

=> x = 0.8

Hence, 0.8 is the x-intercept.

We set x=0 and solve for y to determine the line's y-intercept:

=> 2.5(0) + 0.1y = 2

=> 0.1y = 2

=> y = 20

Hence, 20 is the y-intercept.

As a result, the line's y-intercept is 20, and its x-intercept is 0.8.

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the sin(Ф) trigonometric function can be used to calculate its y component.

What is vector?

Latin word for "carrier" is "vector." Point A is transported to point B by vectors. The direction of the vector AB is the direction in which point A is moved in relation to point B, and the magnitude of the vector is the length of the line connecting the two points A and B. The terms Euclidean vectors and spatial vectors are also used to refer to vectors. Having both magnitude and direction, vectors are geometrical objects. An arrow pointing in the direction of a vector's magnitude and a line representing the vector's direction can be used to depict a vector. Since they have starting and ending points, vectors are symbolized by arrows.

component of a vector along the y-axis is a product of the length of vector and the sine of the angle of a vector with the x-axis.

the trigonometric function can be used to calculate its y component.

Then sin(Ф) trigonometric function can be used to calculate its y component.

Hence the sin(Ф) trigonometric function can be used to calculate its y component.

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The most relevant answer to this question is researcher conducting a qualitative study knows that saturation of information has occurred when data collected confirms theoretical models.

In qualitative research, data saturation refers to when the collection of new data no longer leads to additional ideas or themes.

In other words, saturation occurs when data has been thoroughly explored and little or no new information or new patterns emerge.

so, the researcher can be sure that he or she has collected enough data to answer the research question, and collecting more data is unlikely for new insights.

Therefore, Using the data provided, we can calculate:  

x = (38.1 + 38.4 + 38.3 + 38.2 + 38.2 + 37.9 + 38.7 + 38.6 + 38.0 + 38.2) / 10 = 38.25

In a t distribution table or calculator, find the t value with 9 (n-1) degrees of freedom and 95% confidence intervals. This is approximately 2.262.

Substituting these values ​​into the formula gives:

therefore, the most relevant answer to this is data collected confirms theoretical models.

This means that the researcher has collected enough data to confirm or disprove their original theoretical models, and collecting more data is unlikely to change those models. 

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We are given the following ratios:

We are asked to determine if the ratios are equivalent. To determine that, we will divide each element of the first ratio by 2, we get:

We get the ratio 2:9, since two ratios are equivalent if both elements of one ratio is a multiple of a corresponding element of the second ratio, and we got by dividing the first ratio by 2 the following:

This means that the given ratios are not equivalent.

Answer:

(2.5, - 10 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then

midpoint = ( \(\frac{-16+21}{2}\) , \(\frac{-12-8}{2}\) ) = ( \(\frac{5}{2}\), \(\frac{-20}{2}\) ) = (2.5, - 10 )

Answer: c - (2 1/2 - 10)

Step-by-step explanation:

Answer:

b on edge 2020

Step-by-step explanation:

Answer:

   y = 3x + 3

Step-by-step explanation:

x + 3y = 27

     3y = -x + 27

      y = \(\frac{-1}{3}x +\frac{27}{3}\)

      y = \(\frac{-1}{3}x + 9\)

m₁ = -1/3

the slope of the line perpendicular to x + 3y = 27 is m₂ = -1/m₁

    m₂ = \(-1 * \frac{-3}{1}\) = 3 ,  Point (1 , 6)

y - y1 = m (x -x1)

y -6 = 3(x - 1)

y - 6= 3x - 3

    y = 3x - 3 +6

   y = 3x + 3

Answer:

3x-y=27

Step-by-step explanation:

perpendicular is making a 90 degree angle, so it would need to be a slope of 3 if the other is -1/3.

y=9, x=27

3x-y=27 is the polar opposite, and should work, sorry if wrong. hard to do in my head without a graph to help.

The solution set of the given quadratic equation using factorization will be {-3,11}

Given equation is

\(x^{2} -8x-33 = 0\)

The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.

Let us calculate the roots by factorization

\(x^{2} -11x+3x-33=0\)

\(x(x-11)+3(x-11)=0\)

\((x-11) (x+3)=0\)

\(x-11=0\\x=11\\x+3=0\\x=-3\)

Hence, the solution set of the given quadratic equation will be {-3,11}

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Answer:

A

Step-by-step explanation:

Answer:

6x is the answer of your question

Answer: 6x x=0

Step-by-step explanation:

a. The probability that an advertising firm chosen at random has under probability  $1 million in income after taxes is 0.52.

Number of advertising firms having income less than $1 million = 128Number of firms = 244Formula used:P(A) = (Number of favourable outcomes)/(Total number of outcomes)The total number of advertising firms = 244P(A) = Number of firms having income less than $1 million/Total number of firms=128/244=0.52b-1. The probability that an advertising firm chosen at random has either an income between $1 million and $20 million, or an Income of $20 million or more is 0.48. (Round your answer to 2 decimal places.)Explanation:Given information:Number of advertising firms having income between $1 million and $20 million = 62Number of advertising firms having income of $20 million or more = 54Total number of advertising firms = 244Formula used:

P(A or B) = P(A) + P(B) - P(A and B)Probability of advertising firms having income between $1 million and $20 million:P(A) = 62/244Probability of advertising firms having income of $20 million or more:P(B) = 54/244Probability of advertising firms having income between $1 million and $20 million and an income of $20 million or more:P(A and B) = 0Using the formula:P(A or B) = P(A) + P(B) - P(A and B)P(A or B) = 62/244 + 54/244 - 0=116/244=0.48Therefore, the probability that an advertising firm chosen at random has either an income between $1 million and $20 million, or an Income of $20 million or more is 0.48.b-2. Rule of addition was applied.

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Answer:

18

Step-by-step explanation:

Well there is 6 there.... ad six and six more (2 layers more) for a total of 18

Answer:

17

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite abgles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

Answer:

GREATEST COMMON FACTOR IS 9XZ

Answer:

3xy^3z

Step-by-step explanation:

The tenth position is the one that goes after the decimal point.

To round a number, you have to take into account the following:

1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.

2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.

In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.

The rounded number would be:

a) The linear equation that models the temperature T as a function of the number of chirps per minute N is:y = (10/61)x + 819.67

b) if the crickets are chirping at 159 chirps per minute, the estimated temperature is 846.27 degrees Fahrenheit.

a) The relationship between temperature and chirps per minute is almost linear.

When a cricket produces 117 chirps per minute at 70 degrees Fahrenheit and 178 chirps per minute at 80 degrees Fahrenheit, we need to calculate the slope and y-intercept of the line equation that models the relationship.

We will use the slope-intercept form of a line equation, y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the y-intercept.

Let the dependent variable y be the temperature in degrees Fahrenheit (T) and the independent variable x be the number of chirps per minute (N). At 70 degrees Fahrenheit, the cricket produces 117 chirps per minute.

This point can be written as (117, 70). At 80 degrees Fahrenheit, the cricket produces 178 chirps per minute. This point can be written as (178, 80).

The slope (m) of the line passing through these two points is:m = (y₂ - y₁) / (x₂ - x₁)m = (80 - 70) / (178 - 117)m = 10 / 61The slope (m) of the line is 10/61.

Using the point-slope form of the equation of a line, we can find the equation of the line passing through (117, 70):y - y₁ = m(x - x₁)y - 70 = (10/61)(x - 117)y - 70 = (10/61)x - (10/61)117y = (10/61)x + 819.67

b) Using the linear equation from part a, if the crickets are chirping at 159 chirps per minute, we can estimate the temperature: T = (10/61)(159) + 819.67T = 26.6 + 819.67T = 846.27 degrees Fahrenheit

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Answer:

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

Answer:

b.) on edg.

Step-by-step explanation:

just did it

good luck!

Answer: Rizza got a profit of Php 67.20---B

Step-by-step explanation:

Profit  = Selling Price  - Cost Price

But

Selling price =Php10.00 x 24=240Php

Cost Price =Php172.80

Therefore,

Profit=Php240 -Php172.80

=Php 67.20

The given limit indicates that there is a vertical asymptote at x = 2.

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. When x tends to these values laterally, the limit of f(x) goes to infinity.

In this problem, the function is:

\(f(x) = \frac{x^2 - 4x - 12}{x - 2}\)

The vertical asymptote is:

x - 2 = 0 -> x = 2.

Hence:

\(\lim_{x \rightarrow 2^+} f(x)\) and \(\lim_{x \rightarrow 2^-} f(x)\) are either positive infinity or negative infinity.

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Answer is given below in picture

I hope it helps.

Answer:

\(A\approx 110.02 \text{ cm}^2\)

\(P \approx 53.31 \text{ cm}\)

Step-by-step explanation:

To find the area of a triangle, we need two dimensions: its base and height.

\(A_\triangle = \dfrac{1}{2}bh\)

To find the base of this triangle, we can apply the trigonometric ratio cosine to the right triangle that is half of larger triangle.

\(\cos(x) = \dfrac{\text{adjacent}}{\text{hypotenuse}}\)

↓ plugging in the given values

\(\cos(39\°) = \dfrac{\dfrac{1}{2}b}{15}\)

↓ multiplying both sides by 15

\(15\cos(39\°) = \dfrac{1}{2}b\)

↓ multiplying both sides by 2

\(30\cos(39\°) = b\)

↓ evaluating using a calculator

\(b\approx 23.31 \text{ cm}\)

To find the height of the triangle, we can apply the Pythagorean Theorem to the right triangle that is half of the larger triangle, now that we know what the base is.

\(a^2 + b^2 = c^2\)

↓ plugging in the relevant values

\(a^2 + \left(\dfrac{1}2\cdot 23.31\right)^2 = 15^2\)

↓ isolating a²

\(a^2 = 225 - 135.89\)

\(a^2 = 89.11\)

↓ taking the square root of both sides

\(a \approx 9.44\)

\(h \approx 9.44\)

Finally, we can find the area of the triangle.

\(A=\dfrac{1}{2}bh\)

\(A=\dfrac{1}2 \cdot 23.31 \cdot 9.44\)

\(\boxed{A\approx 110.02 \text{ cm}^2}\)

We can find the perimeter by adding the lengths of each side.

\(P \approx 15 + 15 + 23.31\)

\(\boxed{P \approx53.31 \text{ cm} }\)