A survey found that in a city, 18% of the population owned cars, 24% of thepopulation owned motorcycles, and 6% of the population owned both a car and amotorcycle. Find the probability that a randomly chosen member of the populationowns a car or a motorcycle.0.360.310.28O 3.0

The function represented by the table is given by the rate of change of

the x and y-values which are constant indicating a  linear function.

Response:

The statement that could be used to justify that the table represents a linear function is as following;

The table of of a linear function is one in which the first difference in

the y-values is constant given that the difference in the x-values are also

constant.

From the table, the first difference between each y-value and the

previous y-value is found as follows;

20 - 35 = -15

5 - 20 = -15

-10 - 5 = -15

While the difference between the corresponding x-values = 1 as follows;

0 - (-1) = 1

1 - 0 = 1

2 - 1 = 1

Therefore;

The (rate of) change in the x and y -values in the table are constant, and

the function is a linear function.

The correct statement is therefore;

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Answer:

b

Step-by-step explanation:

4/3*pi*r^3

The solution is : B. 448.92 in^3, is the volume of the ball, rounded to the nearest hundredth.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

We know that the formula to calculate the volume of sphere is,

given by :-

V = 4/3 π r³

where r is the radius of the sphere.

now, we have,

Given :

The diameter of the sphere = 9.50 inches

The radius of the sphere = 9.50/2

                                          = 4.75 inches

So, the Volume = V

V = 4/3 π (4.75)³

  =448.92 in^3

Hence, the volume of the sphere = 448.92 in^3.

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In spherical coordinates, the region R is the set

\(R = \left\{ (\rho, \theta, \varphi) \, : \, 0 \le \rho \le 3, \, 0 \le \theta \le 2\pi, \, \dfrac\pi6 \le \varphi \le \pi\right\}\)

Then the volume of R is

\(\displaystyle \iiint_R dV = \int_0^3 \int_0^{2\pi} \int_{\frac\pi6}^\pi \rho^2 \sin(\varphi) \, d\varphi \, d\theta \, d\rho\)

The integrand is free of \(\theta\), so we can immediately compute that integral and pull out a factor of 2π :

\(\displaystyle \iiint_R dV = 2\pi \int_0^3 \int_{\frac\pi6}^\pi \rho^2 \sin(\varphi) \, d\varphi \, d\rho\)

and the remaining double can be factorized as

\(\displaystyle \iiint_R dV = 2\pi \left(\int_0^3 \rho^2 \, d\rho\right) \left(\int_{\frac\pi6}^\pi \sin(\varphi) \, d\varphi\right)\)

The single integrals are trivial:

\(\displaystyle \int_0^3 \rho^2 \, d\rho = \frac13 (3^3 - 0^3) = 3^2 = 9\)

\(\displaystyle \int_{\frac\pi6}^\pi \sin(\varphi) \, d\varphi = -\cos(\pi) - \left(-\cos\left(\frac\pi6\right)\right) = 1 + \frac{\sqrt3}2\)

So, the volume of R is

\(\displaystyle \iiint_R dV = 2\pi \cdot 9 \cdot \left(1 + \frac{\sqrt3}2\right) = \boxed{9(2+\sqrt3)\pi}\)

Answer:

D, they eat so consumers.

Step-by-step explanation:

The equation is -4h = -14

To find h, divide both sides of the equation by -4:

H = -14 / -4

H = 3.5 hours.

Answer:

C

Step-by-step explanation:

A, B, and D equal -4, while C equals 4.

A positive number times/divided by a negative number (or vice versa) is a negative number.  A negative number times/divided by a negative number (or vice versa) is a positive number.

Answer:

0.86

Step-by-step explanation:

Alpha level in study ( ∝ )= 0.05

In the field ( r  )  = 0.35

power of study = 0.9

Determine the Probability of been real

  1 - 0.14  

= 1 - 0.14 = 0.86

The opposite of a probability been real is the Probability of been unreal

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Answer: 1/15

Step-by-step explanation:

4/5 = 1/5 leftover

1/5 3 people

1/15 (5x3)

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:Option B.Step-by-step explanation:The given inequalities are The related equations of given inequalities areThe tables of values areFor line 1                    For line 2x      y                           x      y0     -1                          0     -33     0                           9     0Plot these ordered pairs on a coordinate plane and connect them by straight lines.The sign of both inequalities is "<" it means both lines are dotted and everything below the lines is shaded.From the below graph it is clear that all values that satisfy  are solutions. Therefore, the correct option is B.

which statements about Ancient Greek life are shown by the story of perseus

Answer:

Quadrilaterals

Step-by-step explanation:

The range of equation represented by the graph is [1, ∞}.

The set of all potential values that a function could output or produce is known as its range. To put it another way, it is the collection of all values that the function "hits" or "reaches" when given various input values.

It's crucial to remember that not every function has a range that encompasses all potential values. For instance, the set [-1, 1] is the range of the function g(x) = sin(x), which only returns values between -1 and 1.

The range of the function are all the output values of the of the function or the y-coordinates of the graph.

For the given graph we see that the y-coordinates corresponding to the graph are from: 1 to ∞.

Hence, the range of equation represented by the graph is [1, ∞}.

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Answer:

The answer is 2

Step-by-step explanation:

2 x ? x 3 x 2 x 2 = 48

6 x 4 x ? = 48

24 x ? = 48

24 ÷ 24 x ? = 48 ÷ 24

? = 2

Solution

To get FX

Length Times Frequency

Let's sum all the FX together

Average, also called the arithmetic mean, is the sum of all the values divided by the number of values. Whereas, mean is the average in the given data. In statistics, the mean is equal to the total number of observations divided by the number of observations (total frequency).

THIS IS THE COMPLETE QUESTION BELOW;

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

A. 0.10

B.0.50

C. 0.66

D. 0.06

Answer:

OPTION D is correct

d)0.06

the probability that a randomly selected team from Littletown goes to the city and state playoffs is \(0.06\)

Step-by-step explanation:

The probability that a baseball team goes to city playoffs is 0.30.

P(baseball team goes to city playoffs)=0.30

The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.

P(team goes to state playoffs given that the team goes to the city playoffs)=0.20

From our knowledge of set, we know that

P(A | B)= P(A ∩ C)/P(C)

where A= city playoffs

B= state playoffs

P(State play off | city play off)=0.20

P(State play off ∩ city play off)/P(city play off,)=0.20

P(State play off ∩ city play off)/0.30 =0.20

P(State play off ∩ city play off)= 0.30 × 0.20

= 0.06

Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

Answer:  15 X (7 - 7) + (5 X 2) = 10

Step-by-step explanation:

Believe me, I am too

Answer:

I believe the answer should be 10, as long as the X's aren't letter variables. If the X's are letters variables the answer would be 10x

Step-by-step explanation:

Answer: f(θ)=5sin(π/4θ)

Step-by-step explanation:

A=5

B=(2π)/8π= (1)/4π

The equation of a sine function with an amplitude of 5 and a period of 8π is y = 5 sin((1/4)x). The amplitude and period in the question have been used to derive values for the constants in the general sine function equation.

The equation of a sine function in general is given by y = A sin(B(x - C)) + D where A represents the amplitude of the function, B represents the period, C represents the horizontal shift, and D represents the vertical shift.

Since the amplitude is 5 and the period is 8π, these will take the place of A and B in the equation. Given that there are no shifts indicated, C and D are both 0.

However, we need to remember that the value B in the equation is actually found using the formula B = 2π / period.

So, B will become 2π/8π = 1/4. Thus, the final equation of a sine function for the given conditions is y = 5 sin((1/4)x).

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Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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The measure of the arc AWJ between the tangent AT and chord AJ is equal to 226°

The angle m∠JAT between the intersection of the chord and a tangent is equal to the arc measure of arc AWJ divided by 2

Given the measure of the angle m∠JAT to be equal to 113°, then the measure of arc AWJ is calculated as:

angle JAT = 108°/2

m∠JAT = arc AWJ/2

113° = arc AWJ/2

arc AWJ = 2 × 113°

arc AWJ = 226°

Therefore, the measure of the arc AWJ between the tangent AT and chord AJ is equal to 226°

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Answer:

Step-by-step explanation:

Step-by-step explanation:

area of rectangle= l*b

2and 2/3  * 7 and 3/4

8/3 * 31/4

62/3 sq . feet

20 and 2/3 feet

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

They are congruent

Step-by-step explanation:

Since they are corresponding they're gonna be the same angle measure.

Answer:

x = 3

Step-by-step explanation:

\( {5}^{2x} \ast {5}^{3} = {5}^{9} \\ {5}^{2x + 3} = {5}^{9} \\ 2x + 3 = 9 \\ (bases \: are \: equal \: so \: exponents \: will \: also \: \\ be \: equal) \\ 2x = 9 - 3 \\ 2x = 6 \\ x = \frac{6}{2} \\ \huge \red { \boxed{x = 3}}\)

Answer:

Step-by-step explanation:

Please use parentheses around the denominator:

              2x

f(x) = -------------- or   f(x) = 2x / (1-x^2)

          1 - x^2

to eliminate any ambiguity.  The graph of this function passes thru the origin (0,0) and has vertical asymptotes at x = -1 and x = + 1.  The function is negative on (-1,0) and positive on (0,1).  

Additionally, there are two horizontal asymptotes.   As x grows large and negative, f(x) approaches zero from above.  As x grows large and positive, f(x) approaches zero from below.

The graph approaches -2 as x approaches infinity, this describes the behavior of the function f(x) = 2x/1-x2.

The behavior of the function \(f(x) = 2x/(1-x^2)\) as x approaches infinity depends on the degree of the numerator and denominator. In this case, both the numerator and denominator have degree 1, so we can use the ratio of the leading coefficients to determine the behavior.

The leading coefficient of the numerator is 2, and the leading coefficient of the denominator is -1. Therefore, as x approaches infinity, the function approaches -2.

So, the statement that describes the behavior of the function is: "The graph approaches -2 as x approaches infinity."

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Therefore , the solution of the given problem of function comes out to be f(x) = 3x + 1 is the linear function with the specified properties.

Numerous subjects, including mathematics, numbers, and their subsets, as well as building, construction, and both real and fictitious geographic locations, are covered in the mathematics programme. The relationships between various variable elements that all cooperate to create the same outcome are covered in a work. A utility is composed of several unique parts that, when combined, give particular outcomes for each input.

Here,

The slope-intercept form of the linear function f(x) is written as

=>  f(x) = mx + b,

where m is the slope and b is the y-intercept.

We can infer from the listed characteristics that f(0) = 1 and f's slope is 3.

We have the following equation for a line in the point-slope form:

=>  f - 1 = 3(x - 0) (x - 0)

When we simplify this solution, we obtain:

=> f = 3x + 1

Consequently, f(x) = 3x + 1 is the linear function with the specified properties.

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