a media rental store rented the following number of movie titles in each of these categories: horror, drama, mystery, romance, and comedy. if a person selects a movie to rent, find the probability that it is a horror or comedy. enter your answer as a fraction or a decimal rounded to decimal places.

The biweekly salary last year is $2,593.77.

The biweekly salary this year is  $2,905.

The amount she earns more is $311.23.

If an event occurs biweekly, it means that it occurs every two weeks.

Total number of times she was paid = number of weeks in a year / frequency she is paid

52 /2 = 26

Biweekly salary last year = salary last year  / number of times she was paid

$67,438 / 26 = $2,593.77

Biweekly salary this year = annual salary / number of times she was paid

= $75,530 / 26

= $2,905

Increase in biweekly salary = $2,905 - $2,593.77 = $311.23

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Step-by-step explanation:

Rearrange w = 3(2a + b) - 4 to make a the subject:

w = 3(2a + b) - 4

expand right side:

w = 6a + 3b - 4

add 4 to both sides:

w + 4 = 6a + 3b - 4 + 4

w + 4 = 6a + 3b

subtract 3b from both sides:

w + 4 - 3b = 6a + 3b - 3b

w + 4 - 3b = 6a  

flip flop equation for readability ease:

w + 4 - 3b = 6a  becomes:

6a  = w + 4 - 3b

divide both sides by 6:

6a/6  = (w + 4 - 3b)/6

a = [tex]\frac{1}{6}w + \frac{4}{6} -\frac{3}{6}b[/tex]

reduce:

a = [tex]\frac{1}{6}w + \frac{2}{3} -\frac{1}{2}b[/tex]

Now, arrange right side of equation so variables are ordered alphabetically.

Answer: [tex]a = -\frac{1}{2}b +\frac{1}{6} w+\frac{2}{3}[/tex]

By using the given table of values, the solution to the expressions  include the following:

f(g(8)) = 3.

g(f(3)) = 5.

f(f(7)) = 0.

g(g(1)) = 3.

In Mathematics, a function is typically used to uniquely map an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value (domain) represents the value on the x-axis of a cartesian coordinate while a dependent value (range) represents the value on the y-axis of a cartesian coordinate.

By using the given table of values, each of the independent value (domain) and output value would be used to evaluate the expressions as follows;

f(g(8)) = f(7) = 3.

g(f(3)) = g(0) = 5.

f(f(7)) = f(3) = 0.

g(g(1)) = g(5) = 3.

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The probability associated with the chi-square value of 0.023 in a chi-square test is the probability of obtaining the observed results, assuming that the expected results are true.

In other words, it is the probability of observing the deviation between the observed and expected values purely due to chance. A low probability value, such as 0.023, indicates that the deviation is unlikely to have occurred by chance, and suggests that there may be some other factor affecting the results of the genetic cross.

In this case, the researcher may reject the null hypothesis that the observed and expected values are in agreement, and conclude that there is a significant difference between the observed and expected values.

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The average rate of change of the function from x = 1 to x = 2 is given as follows:

f(2) - f(1).

The average rate of change of a function is given by the change in the output divided by the change in the input.

The change in the output is given as follows:

f(2) - f(1).

The change in the input is given as follows:

2 - 1 = 1.

Hence the rate is given as follows:

[f(2) - f(1)]/1 = f(2) - f(1).

The problem is incomplete, hence the answer was given in general terms.

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Answer:

Hotdogs = 25    Chili dogs = 28

I believe it correct

The perimeter of the figure is 28 units.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Let us split the given figure to three shapes

Rectangle, Two right triangles

The rectangle has 4 units of length and 3 units of width

Perimeter of rectangle=2(length+width)

=2(4+3)

=14

Now the three sides of triangle are 2, 2 and 2.82 (pythagoras theorem)

Perimeter of triangle=2+2+2.82

=7 units

as there are two right triangle the total perimeter is 2×7=14 units.

So Total perimeter=14+14 units

28 units

Hence, the perimeter of the figure is 28 units.

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The correct statement is y=5x-9

In Mathematics, a slant asymptote, also known as an oblique asymptote, occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial. The slant asymptote gives the linear function which is neither parallel to x-axis nor parallel to the y-axis.

Given here: The function f(x)=10x³-8x²+6 over 2x²+2x-4

Thus       2x²+2x-4)=10x³-8x²+6 (5x-9

                                10x³+10x²-20x

                       __________________

                                        -18x²+4x+6

                                        -18x²-18x-36

                        ___________________

                                                 22x+42

Thus the required oblique slant asymptote is given by 5x-9

Hence, The correct statement is y=5x-9

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Equations that the number 10² makes true are:

4.08 × 10² = 408

0.97 × 10² = 97

An equation is a mathematical statement that expresses equality, is made up of two expressions connected by an equal sign.

Given equations,

a) 0.031 × 10² = 31

0.031 × 100 = 31

3.1 ≠ 31

LHS ≠ RHS

Equation is not true

b) 0.501 × 10² = 501

0.501 × 100 = 50.1

50.1 ≠ 50.1

LHS ≠ RHS

Equation is not true

c) 4.08 × 10² = 408

4.08 × 100 = 408

408 = 408

LHS = RHS

Equation is true

d) 0.97 × 10² = 97

0.97 × 100 = 97

97 = 97

LHS = RHS

Equation is true

e) 0.55 × 10² = 550

0.55 × 100 = 550

55 ≠ 550

LHS ≠ RHS

Equation is not true

Hence, 4.08 × 10² = 408 and 0.97 × 10² = 97 are equations that the number 10² makes true.

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The equation representing the table is y = 0.9x + 6 and at 104.44 minutes the phone will be fully charged.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Let, The x coordinate represents time in minutes and the y coordinate represents battery percentage.

So, The ordered pairs are, (0, 6), (10, 15).

Slope(m) = (15 - 6)/(10 - 0).

Slope(m) = 9/10 = 0.9.

y = 0.9x + b.

6 = 0.9(0) + b.

b = 6.

y = 0.9x + 6.

When it is fully charged it is,

100 = 0.9x + 6.

0.9x = 94.

x = 94/0.9.

x = 104.44 minutes or 104 minutes and 26 seconds.

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Answer:

image 2

1. SSS

2. AAS

3. SAS

The region along the horizontal axis where the net electric field is zero is region C.

In region C, the electric field produced by the positive charge is equal and opposite to the electric field produced by the negative charge. Therefore, the net electric field in this region is zero. The electric field is proportional to the gradient of the potential, and thus, the potential is constant in region C. Points in region C are equipotential points, meaning that they have the same electrical potential and the electric field is perpendicular to the equipotential surface.

In regions A, B, D, and E, the electric field is non-zero because the charges are not symmetrically placed with respect to the point in question, and thus, the electric field will have a net non-zero value in these regions.

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Answer:

0       0

3        9

5       15

10      30

Step-by-step explanation:

Since y=3x plug in the various x values to attain your y values.

Answer:

x=14

Step-by-step explanation:

Half circle total degree+180

so 180=101-47-(2x-4)

2x-4=180-101-47

2x-4=32

2x=28

x=14

Answer:

C

Step-by-step explanation:

morgan = x

megan = x+3

marie = x+2

x+x+3+x+2=3x+5

The initial height of the rocket is 24 meters. The rocket would hit ground after 5.16 seconds. The height of the rocket after 4 seconds is 84 meters.

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The height of the rocket after t seconds is:

h(t) = -4t² + 16t + 24

a) The initial height is at t = 0, hence:

h(0) = -4(0) + 16(0) + 24

h(0) = 24

The initial height of the rocket is 24 meters

b) The rocket hit the ground at h = 0, hence:

0 = -4t² + 16t + 24

4t² - 16t - 24 = 0

t = 5.16 seconds

c) The height of the rocket after 4 seconds:

h(5) = -4(5) + 16(5) + 24 = 84 meter

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Answer:2.5,21,166,1132

Step-by-step explanation:

Answer:

the answer will be the second graph

Step-by-step explanation:

in the other graphs, the proportions are not equal

for example, in the top graph, your first and second proportions simplify to 1/5; but your third and fourth simplify to 1/4

in the third graph, your first and second simplify to 1/3 and your third and fourth simplify to 1/4

however, in the second graph, the proportions simplify to 1/3 throughout

Answer:

The answer is Bㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

The first one is the answer

Step-by-step explanation:

let m be the other number,

so 5(m-26.8) = 63.7

27438 be the number of  bacteria  there be in 8 hours.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Nate is culturing bacteria that have a growth rate of 10% per hour.

The current population is 12,800 bacteria.

We need to find the number of  bacteria will there be in 8 hours

[tex]A=P(1+r)^{t}[/tex]

[tex]A=12800(1+10/100)^{8}[/tex]

[tex]A=12800(1+0.1)^{8}[/tex]

A = 12800×(2.14)

A=27438

Hence, 27438 be the number of  bacteria  there be in 8 hours.

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Considering the systems of equations, the system of equations has infinite solutions.

Systems of equations are a set of two or more equations with two or more variables.

To find the solution to a system of equations, you have to solve the equations simultaneously. However, not all systems of equations have a solution. You can have systems with no solutions or even systems with infinitely many solutions.

hat is, there are three possible results that we can find when working with systems of linear equations:

The system of equations is:

3x+y=4

6x+2y=8

You can see that the second equation is obtained by multiplying the first equation by 2. Therefore, the system of equations has infinitely many solutions.

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The slope of the line passing through the points (−8, -4) and (−8, 8) is undefined

The slope of the line passing through the points (3, 4) and (−3, 4) is 0

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

A) Find the slope of the line passing through the points (−8, -4) and (−8, 8).

m = (8 - (-4)) / (-8 - (-8)) = undefined

The slope is undefined

B) Find the slope of the line passing through the points (3, 4) and (−3, 4).

Slope = (4 - 4) / (-3 - (-3)) = 0

The slope is 0

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The components of the force exerted on the plate at C are 1080N in the x direction and 1060N in the y direction.

The forces exerted on the plate at C can be determined using the equations of equilibrium. According to the equation of equilibrium, the sum of the forces in the x and y direction must be equal to zero. Therefore, we can calculate the x and y components of the force as follows:

Fx = 0 = Tcos(theta) – Fc

Fy = 0 = Tsin(theta) – Fb

Where T is the tension in the cable AC, theta is the angle of the cable AC, Fc is the force in the x direction, and Fb is the force in the y direction.

Using the given information, we can solve for Fc and Fb as follows:

Fc = Tcos(theta) = 2140N * cos(60°) = 1080N

Fb = Tsin(theta) = 2140N * sin(60°) = 1060N

Therefore, the components of the force exerted on the plate at C are 1080N in the x direction and 1060N in the y direction.

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Answer:

The number of planes that land in a given time period follows a Poisson distribution with parameter lambda equal to the average rate of landing per unit time. In this case, lambda is equal to 0.1 planes per minute.

The probability that between 2 and 6 planes will land in 10 minutes is given by the cumulative distribution function of the Poisson distribution:

P(2 <= X <= 6) = P(X <= 6) - P(X <= 1)

Where X is the number of planes that land in 10 minutes.

Using the cumulative distribution function for the Poisson distribution, we have:

P(X <= 6) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)

P(X <= 1) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10)

Therefore,

P(2 <= X <= 6) = (1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)) - (1 - e^(-0.1 * 10) * (1 + 0.1 * 10))

The exact value of this probability can be calculated using a calculator or computer software.

Answer:

0.3

Step-by-step explanation:

The graph of the exponent function A(x) = 400 (1.25)ˣ + 0 will be drawn below. Then the correct option is A.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

y = a (1 ± r)ˣ

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)ˣ + 0 as the parent function.

The increasing at a rate of 25% per year. value of 'b' is given as,

b = 1 + 0.25

b = 1.25

Then the equation is given as,

A(x) = 400 (1.25)ˣ + 0

The graph of the exponent function A(x) = 400 (1.25)ˣ + 0 will be drawn below. Then the correct option is A.

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The area of a rectangle with length x and width [tex]x^2-3x[/tex] can be written as a sum of cubes as [tex]x^3 + (x^2-3x)^3[/tex].

[tex]x^3 + (x^2-3x)^3[/tex]

We are asked to write the area of the rectangle as a sum of cubes. The area of a rectangle is calculated with length times width.

The length of the rectangle is given as x and the width of the rectangle is given as [tex]x^2-3x.[/tex]

The area of the rectangle can be written as:

Area = [tex]x^2-3x.[/tex]

The area can then be written as a sum of cubes as:

Area = [tex]x^3 + (x^2-3x)^3[/tex]

Therefore, the answer is [tex]x^3 + (x^2-3x)^3.[/tex]

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Answer:

the answer is 16.63 inches

Answer: Hi! The answer would be 16.63 inches.

If you want steps, dm me! <3 Good luck!!

The required area of the triangle is represented by the expression A = (1/2)b² + 6b. where b is the base of the triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

To find the area of a triangle, we need to know the base and height of the triangle. The height of the triangle is given as 12 cm greater than the base of the triangle, so let's call the base of the triangle "b".

The height would then be h = b + 12.

The formula for the area of a triangle is:

A = (1/2)bh

So, the area of the triangle would be:

A = (1/2)(b)(b + 12)
A= (1/2)b² + (1/2)12b
A = (1/2)b² + 6b

In this case, the area of the triangle is a function of the base, so the exact value of the area depends on the value of b.

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The endpoints of AB are (2, 5) and (-4, 7). So the coordinates of the midpoint are (-1, 6).

These are the specified parameters:

AB are (2, 5) and (-4, 7)

Here,

x₁ = 2 and y₁ = 5

x₂ = -4 and y₂ = 7

The coordinates of the midpoint

= ((x₁ + x₂)/2 , (y₁ + y₂)/2)

= ((2 + (-4))/2 , (5 + 7)/2)

= (-2/2 , 12/2)

= (-1, 6)

So the coordinates of the midpoint of segment AB are (-1, 6).

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The measure of side BC is 2√3 units and AB is 2√13 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In triangle BCD,

tan60°=BC/DC

√3=BC/2

BC=2√3

By Pythagoras theorem,

BD²=BC²-DC²

BD²=(2√3)²-2²

BD²=12-4

BD²=8

BD=2√2

By Pythagoras theorem,

AC²=BC²+AB²

8²=(2√3)²+AB²

64=12+AB²

AB²=52

AB=√52

AB=2√13

Therefore, the measure of side BC is 2√3 units and AB is 2√13 units.

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