Kevin measured how many times he arrived to work late if he took subway. the results are provided in the following table. Find the probability that Kevin will arrive on-time tomorrow if he plans to take subway. (round the answer to 2 decimal places)

The business will need 10.5 months to make back the money it invested in Program X.

Actual or anticipated costs for each monthly expense are needed to calculate the average monthly expenses.

By dividing an investment's net profit (or loss) by its initial cost or outlay, we can determine the return on investment.

Program X costs $35,000 per year, but is anticipated to save $40,000 for Company C in the first year.

Considering that the savings and the cost are equal over the course of each month

So, 40000/35000 = 0.875

No. of months to recover = 0.875 × 12

                                          = 10.5 months

Therefore, the duration it will take the business to recover its

Investment in Program X is 10.5 months.

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The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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The number is given to be n.

The equation of the line in slope intercept form is y=0(x)+0 or y=0.

What is slope intercept form?
The slope intercept form in the math is one of the forms used to calculate of the  equation of a straight line, given the slope of the line and intercept it forms with  the y-axis. The slope is the intercept form is given as, y = mx + b, where 'm' is the  slope of the straight line and 'b' is the y-intercept.

The equation of any of the  straight line can be written as the y=mx+c, where m is its a slope and c is its y-intercept .

Hence, the equation of the line with slope is =0 and y - intercept =0 is y=0(x)+0 or y=0.

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It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the quantity of units of work completed per unit of time (R). Work (W) = Rate (R) Time, thus (T).

They spent 40/13 hours together painting her living room.

sarah does the 1/5 of the job per hour.

Rachel  does the 1/8 of the job per hour.

Together, they do 1/5 + 1/8 of the job per hour.

= 13/40 of the job each hour

The inverse of job/hour = hours per job

---> 40/13 hours to do it together.

For a shortcut:

t = 5*8/(5+8) = 40/13 hours

They spent 40/13 hours together painting her living room.

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The equation using the variable m to represent the cost of a Big Mac is

m + 1.07 = 15.07.

The cost of a Big mac is $14.

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

We have,

Let the cost of Big macs = m

cost of fries = $1.07

The total cost of Mig macs and fries = $15.07

This can be written as an equation:

m + 1.07 = 15.07

Subtract 1.07 on both sides.

m + 1.07 - 1.07 = 15.07 - 1.07

m = 14

The cost of a Big mac is $14.

Thus,

The equation using the variable m to represent the cost of a Big Mac is

m + 1.07 = 15.07.

The cost of a Big mac is $14.

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The expected value is given by:

In this case we have:

Therefore the expected payoff is $4.16

SOLUTION

Step 1 :

In this question, we are meant to find the co-ordinates of S,

Where the compostion

The area of the Great Lakes is 988 square miles.

According to the question,

We have the following information:

The area of the Great Lakes is about 9.5 x 104 square miles.

Now, the area of the Great Lakes can simply be found by multiplying the given two numbers.

Now, in the multiplication involving numbers with decimal points, we know that the numbers are multiplied first as if there is no decimal point but in the result obtained we put the decimal point to exactly counting the digits where the decimal point was placed in the input. We move the decimal point to the left hand side according to the number of digits.

In this case, point is after 1 digit.

9.5*104 square miles

988.0 square miles

988 square miles

Hence, the area of the Great Lakes is 988 square miles.

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Given: An expression

Required: To write the exponent form of the given expression.

Explanation: The square root of a number is the same as having an exponent of 1/2.

For example

And in exponent form,

Hence for the given expression, we can write it as

Final Answer: Option D is correct.

4444 is ratio of ojo’s share and 355.2 is the ratio of olu’s share .

What does a math ratio mean?

the ratio of olu’s share and ojo’s = 4:5

total Shared = 8000

the ratio of olu’s share =  8000 * 4/9

                                      =  888.8 * 4 = 355.2

the ratio of ojo’s share  = 8000 * 5/9

                                       = 888.8 * 5 = 4444

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Given,

The radius of the cylinderis 5unit.

Required

The measure of CD.

The length of the CD is equal to the circumference of the base of circle.

So, the length of the cylinder is,

Hence,the length of CD is 10 pi.

the expression (x - 3)², has one term

the expression (x + 3)(x - 3), has two terms (x- 3) and (x + 3)

[tex]-1\frac{3}{4}[/tex] is located at a point 1.

1.1125 is located at point 6.

14 / 8 is located at point 8.

-0.875 is located at point 3.

The numbers are made up of mixed fractions, improper fractions, decimals, positive numbers and negative numbers.

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 1 3/4. An improper fraction is a fraction in which the numerator is greater in value than the denominator. An example of an improper fraction is 14/8.

A negative number is a number that is less than 0. This numbers would be located to the left of 0 on the number line. An example of a negative number is -1.2. A positive number is a number that is greater than 0. These numbers are located to the right of 0 on the number line. An example of a positive number is 1

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By theorem we have that if two sides of a triangle are equal, then the angles opposite to those sides are equal, with this or with knowing that the angle between the known sides are equal we conclude that both triangles are equal [the latter solution is using congruency SAS for the triangles, where S is side and A angle.]

Answer: 268435456

Step-by-step explanation:

please mark brainliest if this helped :)

Answer:

Use order of operations,

1. 4^5 = 1024

2. 4^3 = 64

3. 4^2 = 16

4. 1024 * 64 = 65,476

5. 65,476 * 16 = 696,616

6. 16 * 4 = 64

7. 64 * 16 = 1,024

8. 696,616 / 1,024 = 680.2890625

The price relative of a new Explorer compared to the cost of Explorer in 1990 is 1.66.

The price relative is the ratio of the price of the Explorer today to the price of the Explorer in 1990. In order to determine the price relative, divide the price of the Explorer today to the price of the Explorer in 1990.

Division is the operation that is used to determine the quotient of two or more numbers. The sign that is used to represent division is ÷.

Price relative = price of the Explorer now / price of the Explorer in 1990

$39,900 / $24,00 = 1.66

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Let's begin by listing out the given information:

We will observe that both equations have the same slope but different y-intercept. This implies that both equations are parallel to one another. This means that both equations never intersect at any point & as such, have no solution.

Hence, the correct answer is B. Ben is incorrect. Since the equations have the same slope and different​ y-intercepts, the system has no solution.

We need to determine if the figures are congruent and if one or more of the given transformations map A onto B.

Notice that figure A is a trapezium with bases' lengths 1 and 3.

And figure B is a trapezium with bases' lengths 2 and 4. And both trapeziums have the same height 2.

Thus, the figures are not congruent, not even similar.

Since the listed transformations map to congruent images of A, none of them maps A onto B.

Therefore, they are NOT congruent and NONE of the transformations maps A onto B.

Step-by-step explanation:

gradient means slope.

the slope is anyways the factor a of x on the slope-intercept form

y = ax + b

and in the point-slope form

y - y1 = a(x - x1)

"a" is as mentioned the slope. b is the y-intercept (the y- value when x = 0).

(x1, y1) is a point on the line.

a)

y = (1/2)×x - 2

b)

y - 2 = 3(x - -2) = 3(x + 2) = 3x + 6

y = 3x + 8

c)

remember, the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, let's go from (1, -2) to (-2, 1)

x changes by -3 (from 1 to -2)

y charges by +3 (from -2 to 1)

the slope is +3/-3 = -1/1 = -1

so, we pick one point, e.g. (1, -2), and the line is

y - -2 = -(x - 1) = -x + 1

y + 2 = -x + 1

y = -x - 1

d)

x = -1

this is a vertical line (parallel to the y-axis) representing all points on the grid for which x = -1.

the slope is undefined, as it is y/0 (because x never changes at all). and there is no y-intercept, as x can never be 0, and the line is parallel to the y-axis, so, there cannot be any intersection point.

Answer:

[tex]\textsf{a) \quad $y=\dfrac{1}{2}x-2$}[/tex]

[tex]\textsf{b) \quad $y=3x+8$}[/tex]

[tex]\textsf{c) \quad $y=-x-1$}[/tex]

[tex]\textsf{d) \quad $x=-1$}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

where:

Given values:

Substitute the given values into the formula to create the equation of the line:

[tex]\implies y=\dfrac{1}{2}x-2[/tex]

---------------------------------------------------------------------------

Point-slope form of a linear equation:  

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula to create the equation of the line:

[tex]\implies y-2=3(x-(-2))[/tex]

[tex]\implies y-2=3(x+2)[/tex]

[tex]\implies y-2=3x+6[/tex]

[tex]\implies y=3x+8[/tex]

---------------------------------------------------------------------------

Slope formula:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Given points:

Substitute the points into the slope formula to calculate the slope of the line:

[tex]\implies m=\dfrac{1-(-2)}{-2-1}=\dfrac{3}{-3}=-1[/tex]

Substitute the found slope and one of the points into the point-slope formula to create the equation of the line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-2)=-1(x-1)[/tex]

[tex]\implies y+2=-x+1[/tex]

[tex]\implies y=-x-1[/tex]

---------------------------------------------------------------------------

If the line is parallel to the y-axis, it is a vertical line.

The equation of a vertical line is x = c.

Therefore, as the line intersects the x-axis at -1, the equation of the line is:

[tex]\implies x=-1[/tex]

The probability that fewer than three of the selected consumers believe that cash will be obsolete in the next 20 years is 0.538.

The following can be deduced:

p = 40.3% = 0.403

1 - p = 1 - 0.403 = 0.597

n = 6

Therefore X follows the Binomial (6 , 0.403)

The PMF of the Binomial distribution is

P(X = x) = (n C x) * px * (1 - p)n - x ; x = 0 ,1 , 2 , ....., n

Now ,

P(fewer than 3)

= P(X < 3)

= P(X = 0) + P(X = 1) + P(X = 2)

= 0.0453+0.1834+0.3095

= 0.538

The probability is 0.538

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Answer:

one​ solution

Explanation:

Given the system of equations:

Equating the two expressions of y:

Next, solve for y:

Thus, we conclude that the system of equations has exactly one solution (1, 5).

The graph of the equation defined by; y = f(x) = x² + 20 as represented in the task content is symmetrical about the y-axis.

It follows from the task content that the axis about which the given graph is symmetrical be determined as follows.

Since it follows that for a function to be symmetric about the y-axis;

f(-x) = f(x).

Therefore, we have;

f(-x) = (-x)² + 20.

f(-x) = x² + 20 = f(x).

Hence, the graph is symmetrical about the y-axis.

Also; Since; f(-x) = x² + 20 ≠ - f(x).

It follows that the graph is not symmetrical about the origin and hence, the graph is only symmetrical about the y-axis.

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Julia sent 880 text messages in the moth of May .

In the question ,

it is given that

Cost for first 650 messages = $15

additional text message charge = $0.15

Amount owed by Julia for the month of May = $49.50

Let the number of Additional messages be x.

So, according to the question

15 + 0.15x = 49.50

0.15x = 49.50 - 15

0.15x = 34.5

x = 34.5/0.15

x = 230

number of extra messages = 230

total messages = first 650 messages + extra messages

= 650+230

= 880

Therefore , Julia sent 880 text messages in the month of May .

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The given inequality is

First, we subtract 1 on each side

Now we use the property of inequalities with absolute values, which states

Using this property, we have

We solve the compound inequality now

Therefore, the solution is the interval [-2,7], and the graph of it would be

The value of the functions are given as;

(f. g)(x) =  9x² + 5  

(g . f)(x) = 3x² + 15

A function can simply be described as an expression, law, or rule showing  or explaining relationship between two variables in an equation.

The variables are namely;

Given the functions;

To determine  ( f. g)(x), we have to substitute the value of g(x) as x  in the function, we get;

(f. g)(x) = (3x)² + 5

expand the bracket

(f. g)(x)  = 9x² + 5

To determine (g . f )(x), we have to substitute the value of x in the function

(g . f(x) = 3(x² + 5)

expand the bracket

(g . f)(x) = 3x² + 15

Hence, the values are  9x² + 5 and  3x² + 15

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The number of citizens choosing cats, fish and dogs are 3360, 1820 and 3500 respectively.

Given, from the data which is represented by the pie chart, the percentage of citizens of a certain community choosing their favorite pet is listed below:

Fish = 13%

Dogs = 25%

Birds = 21%

Cats = 24%

Hamsters = 9%

Snakes = 8%

Altogether there are 14,000 citizens in the community.

we are asked to determine how many citizens have chosen cats, fish or dogs.

we use the method of percentage over here:

total citizens = 14000

percentage of citizens choosing cats = 24%

hence 24% of 14000 = 24/100 × 14000

= 24×140

= 3360

now, percentage of citizens choosing fish = 13%

hence 13% of 14000 = 13/100 × 14000

= 13×140

= 1820

And, percentage of citizens choosing dogs = 25%

hence 25% of 14000 = 25/100 × 14000

= 25 × 140

= 3500

hence the number of citizens choosing cats, fish and dogs are 3360, 1820 and 3500 respectively.

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Least common denominator is the smallest number that can be divided by both given denominators.

From the problem, we have :

The denominators are 6 and 2.

The smallest number that can be divided by 6 and 2 is 6.

6/6 = 1 and 6/2 = 3

So we need an equivalent fraction with a denominator of 6.

For 5/6, multiply this by 1/1 since the denominator is already 6.

For 1/2, multiply this by 3/3 to make the denominator equal to 6.