At a large university, 15% of students are business majors and 20% are communications majors. If two students are selected at random, what is the probability the first is a communications major and the second is a business major?

Express your answer in decimal form using two decimal places.

Answer:

Option 2: 14.06 minutes

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

15 minutes = 1/4 hours = 0.25 hours

Speed = 7.5 miles per hour

Now using the speed, distance and time formula

Speed = distance/time

[tex]Speed = \frac{distance}{time}[/tex]

[tex]7.5 = \frac{distance}{0.25}[/tex]

[tex]7.5 * 0.25 = Distance[/tex]

Distance = 1.875 miles

So the distance for 1st day is 1.875 miles.

For next day

Speed = 8 miles per hour

Distance = 1.875

So,

[tex]speed = \frac{distance}{time}[/tex]

[tex]8 = \frac{1.875}{time}[/tex]

[tex]time = \frac{1.875}{8}[/tex]

[tex]time = 0.234375 hours[/tex]

Converting the hours into minutes will give

0.234375 * 60 min =  14.0625 minutes

Rounding off to two decimals = 14.06 min

So 2nd option is correct..

{y|1 > y}, (-∞, 1); you did not specifically mention what notation you needed, so I wrote both [Internal Notation and Set Notation].

Answer:

all real numbers less than or equal to 0

Step-by-step explanation:

EDGE 2020

½ = v; multiply the divisor to remove the variable from the denominator.

Answer:

A or B

Step-by-step explanation:

Answer:

Should be B, No because her debt-to-income ratio is lower than 36 percent.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = -2; x = -3

Step-by-step explanation:

(-x - 3)(x + 2) = 0

(-x - 3) = 0

x = -3

(x + 2) = 0

x = -2

When solving integer inequalities, isolate the variable on one side just like an equation. If the inequality involves a negative number, remember to flip the sign.

Since the exercise isn't specifically provided, I will walk you through a general process of solving integer inequalities.

First, treat the inequality similar to an equation. You'll need to isolate the variable (usually represented by 'x') on one side of the inequality.

Example 1: Let's say your inequality is x + 3 < 7. You can subtract 3 from both sides to isolate 'x', giving you x < 4.

Example 2: For an inequality like 5x > 30, you'd divide both sides by 5. This gives you x > 6. In both examples, the solution sets are all the integers less than 4 and greater than 6, respectively.

Remember that if you multiply or divide by a negative number, the inequality sign will flip.

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Answer:

Step-by-step explanation:

ac + cb = ab

Answer:

The dimensions of rectangle are 230 in by 59 in

Step-by-step explanation:

The question in English is

What are the dimensions of a rectangle with a perimeter equal to 578 inches, if its length is 6 inches less than 4 times its width?

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=578 in

so

578=2(x+y)

289=x+y -----> equation A

x=4y-6 -----> equation B

substitute equation B in equation A

289=(4y-6)+y

5y=295

y=59 in

Find the value of x

x=4y-6 -----> x=4(59)-6=230 in

therefore

The dimensions of rectangle are

230 in by  59 in

Answer:

A. 24

Step-by-step explanation:

! = 2 multiplied by the maximum

So, 4! = 2 × 3 × 4 [24]

This is what is known as Factorials.

I am joyous to assist you anytime.

Answer:

[tex]\Huge\boxed{24}[/tex]

Step-by-step explanation:

Apply by the factorial rule.

[tex]\displaystyle 4!=1*2*3*4[/tex]

Then multiply to find the answer.

[tex]\displaystyle 1*2*3*4=4*3=12*2=24*1=24[/tex]

24, which is our answer.

Answer:

Step-by-step explanation:

The 9 is in the tens place in 75, 293 so rounding to the tens place means we need to round to the place the 9 is in, and we can sort of disregard the number after that, which is a 3. It will eventually round to a 0, but if that number is 5 or greater, it rounds the 9 up. It's a 3, so the 9 stays a 9: 75, 290.

The 2 is in the hundreds place, so just like above, we can change everything after the 2 to a 0, after we use the 9 for rounding. 9 is greater than 5, so the 2 rounds up to a 3: 75, 300.

The 5 is in the thousands place, so everything after that will become 0's, but use the 2 for rounding first. 2 is less than 5, so the 5 stays a 5: 75, 000.

Answer:

right-most fourth graph

Step-by-step explanation:

Given:

f(x)= -x+4    for 0≤x<3

i.e. from x=0 till x=3 the graph is linear line

then

f(x) = 5        for x≥3

i.e. at x=3 and onward graph is a straight line with y-axis point of 5 !

Answer:

Step-by-step explanation:

The given piecewise function is

[tex]f(x)=\left \{ {{-x+4 \ ; \ 0\leq x<3} \atop {5 \ ; \ x\geq3 }} \right.[/tex]

Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.

So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.

Therefore, the fourth graph, from left to right, is the correct answer.

Below is an image of the vertical line test.

The vertical line test is passed only when a vertical line only intersects the graph once. As you can see this graph intersects the graph twice, and therefore is not a function.

The answer you selected was correct!

Hope this helped!

With the height of the rectangular box, the baton can fit diagonally in the box.

The length of the baton that Kylie needs to pack = 38 inches

The width of the rectangular box = 13 inches

The length of the rectangular box = 35 inches

The height of the rectangular box = 13 inches

Comparing the dimensions:

The baton is 38 inches long and longer than the length and width of the box.

The height of the box is 13 inches, making the box greater than the length of the baton diagonally.

Thus, the baton will fit in the box diagonally.

B it is horizontally stretched by a factor of of 3 and reflected over the y

Answer:

itś C on edge :)

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

we know that

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side

therefore

In this problem

HF=HG

Answer:

Step-by-step explanation:

It is a right angle triangle with height and base = 3. The 4.24, for area, is not relevant.

Area = h * b / 2

Area = 3 * 3/2

Area = 9/2

Area = 4.5

Answer:

4.5 units

Step-by-step explanation:

A=1/2(b×h)

b=base

h=height

plug in what we know ...

A=1/2 (3×3)

A=1/2 (9)

A=4.5

8-6z=26

8-8-6z=26-8

-6z=18

divide by -6 for -6z and 18

-6z/-6=18/-6

z=-3

Check answer by using substitution method

8-6(-3)=26

8+18= 26

26=26

Answer is z=-3

Answer:

answer - 3

Step-by-step explanation:

8 - 6z = 26                    Subtract 8 from both sides.

8-8 - 6z = 26 - 8

- 6z = 18                         Divide by - 6

-6z/-6 = 18/-6                 Do the division. Note: you must leave the letter with 1 in front of it.

z = - 3

Regroup terms

(3 + 16V)(6 - 64)

Simplify 6 - 64 to -58

(3 + 16V) * -58

Simplify

= -58(3 + 16V)

For this case we have a factored expression, of a second degree equation:

([tex](x-3) (x + 8) = 0[/tex]

To find the solutions:

we add 3 to both sides of the equation:

[tex]x=3[/tex]

We subtract 8 on both sides of the equation:

[tex]x = -8[/tex]

Thus, the solutions of the equation are:

[tex]x_ {1} = 3\\x_ {2} = - 8[/tex]

Answer:

[tex]x_ {1} = 3\\x_ {2} = - 8[/tex]

A polygon is a plane figure with at least three straight sides and angles, and typically five or more. In other words, a polygon is a 2 dimensional shape with straight sides. No curves!

A quarter of a circle has a curve on one side, and is therefore not a polygon.

Answer:

you spent 3 hours bagging groceries.

Step-by-step explanation:

you can use a calculator and do 11 times 3 plus 15.

Final answer:

To find out how many hours were spent bagging groceries when making $48 in total, solve the given equation with the respective earnings from shoveling and bagging.

Explanation:

The question: During the Winter, you charged people $15 for shoveling snow and $11 for every hour bagging groceries. If you made $48 one day, how many hours did you spend bagging groceries?

Step-by-step explanation:

Let's denote the hours spent bagging groceries as x.

Write the equation: $15 (for shoveling) + $11x (for bagging) = $48.

Solve the equation to find x: $15 + $11x = $48, $11x = $33, x = 3 hours.

just substitute 10 into the equation

10=2x-6

add 6 to both sides

16=2x

divide both sides by 2

x=8

Answer:

a. [tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

b. [tex]100x+225y=100x+225[/tex] Which means it is an identity

Step-by-step explanation:

The Pythagorean Theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a, and b, and the measure of the hypotenuse is c, then The following relationship is fulfilled:

[tex]a^{2} +b^{2}=c^{2}[/tex]

a. Write an equation using the Pythagorean Theorem and the measurements provided in the diagram

From the exercise shown in the image, we can get the values of a, b, and c.

a = 8x+12y, b = 6x+9y, and c = 10x+15y

Write an equation using the Pythagorean Theorem

We obtain:

[tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

b. Transform each side of the equation to determine if it is an identity.

In mathematics, an identity is the realization that two objects that are mathematically written differently, are in fact the same object. In particular, an identity is an equality between two expressions, which is true whatever the values ​​of the different ones are.

So, we transform each side of the equation

[tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

[tex](8x)^{2} +(12y)^{2} +(6x)^{2} +(9y)^{2}= (10x)^{2}+(15y)^{2}\\64x+144y+36x+81y=100x+225y\\(64x+36x)+(144y+81y)=100x+225y\\100x+225y=100x+225[/tex] Which means it is an identity

.

Answer:

a). (10x + 15y)² = (8x + 12y)² + (6x + 9y)²

b). It's an identity

Step-by-step explanation:

a). Pythagoras theorem says

(Hypotenuse)² = Height² + Base²

Therefore, form the given picture

(10x + 15y)² = (8x + 12y)² + (6x + 9y)² will be the equation.

b). For an identity we have to prove Right hand side of the equation(R.H.S.) = Left hand side of the equation(L.H.S.)

Now we solve the L.H.S. of the equation

(10x + 15y)²

= 100x² + 225y² + 300xy  [ (a + b)² = a²+ b² + 2ab

Now we solve R.H.S. of the equation

(8x + 12y)² + (6x + 9y)²

= 64x²+ 144y² + 36x² + 81y² + 108y + 192xy + 108xy

= 100x² + 225y²+ 300xy

Therefore, L.H.S. = R.H.S.

The given equation is an identity.

For this case we solve the following equation:

[tex]3 (x + 10) + 6 = 3 (x + 12)[/tex]

We apply distributive property to the terms within parentheses:

[tex]3x + 30 + 6 = 3x + 36[/tex]

We add similar terms:

[tex]3x + 36 = 3x + 36\\36 = 36[/tex]

Since 36 equals 36, then the equation will always be true for any value of x.

ANswer:

Infinite solutions

Answer:

'm guessing you mean with parallels and a transversal. If this is the case, then find he angle that is either

a; supplementary (creating a flat angle, 180 degrees) or

b; complimentary (creating a 90 degree angle)

Step-by-step explanation:

subtract the supplementary/complimentary angle from either 180 or 90 and the difference is your answer. Hope I helped!

* * * * *

More likely the question is concerned with the interior angles of a polygon. If the polygon is irregular then there is no simple answer. An interior angle can have any value.

However, if it is a regular polygon then the question can be answered. The sum of all the exterior angles is 360 degrees - irrespective of the number of sides (or vertices). Suppose the polygon has n sides/vertices.

Then, since it is regular, each exterior angle is 360/n. Therefore, each interior angle is 180-360/n degrees.

The sum of interior angles of a polygon can be found using the formula (n-2) x 180 degrees.

To find the measures of the interior angles of a polygon, you must first consider the type of polygon you're dealing with. For a triangle, the sum of the interior angles is always 180 degrees. If you're working with another type of polygon, such as a quadrilateral, the sum of the interior angles is greater, and there's a simple formula to follow: (n-2)  imes 180 degrees, where n represents the number of sides of the polygon. This means that for a quadrilateral, with four sides, the sum of the interior angles would be (4-2) * 180 degrees, which equals 360 degrees.

When it comes to alternate interior angles, these are pairs of angles found on the inside of two lines that are cut by a transversal. If the lines are parallel, the alternate interior angles are equal in measure. For example, if you have two parallel lines cut by a transversal forming angle a and angle f, then a and f would be alternate interior angles and thus, would have the same measure.

The sum of the exterior angles in any polygon is 360 degrees, regardless of the number of sides. When finding the measure of an exterior angle, knowing the measure of its corresponding interior angle can be helpful because the interior and exterior angles form a linear pair (adding up to 180 degrees). Therefore, if the interior angle is 150 degrees, the exterior angle would be 180 degrees - 150 degrees, which equals 30 degrees.

Heathe lives halfway up: 42 / 2 = 21st floor.

Raveen = 42 x 4/7 = 168/7 = 24th floor.

Alveera = 42 x 3/14 = 126/14 = 9th floor.

Rafi = 42 x 4/6 = 168/6 = 28th floor.

Suha = 28-24 = 4 /2 = 2 = 24+2 = 26th floor.

Arabi = 42 x 2/3 = 84/3 = 28th floor

Answer:

9/10

Step-by-step explanation:

step 1

Compare the slopes

[tex]1/10=0.10[/tex]

[tex]9/10=0.9[/tex]

[tex]0.9 > 0.10[/tex]

therefore

An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.

Answer:

Painting USA is the most cost effective company.

Step-by-step explanation:

Painting USA company charges:

$75.00 to evaluate the house

Plus, $25.00 per hour of labor.

Total number of hours taken to paint the house is 25 hrs

Total cost here = $75.00 + $25.00(25) = $700.00

Upscale Home Painting company charges:

$0.00 to evaluate the house

$40.00 per hour of labor.

Total number of hours taken to paint the house is 25 hrs

Total cost here = $0.00 + $40.00(25) = $1000.00

So Painting USA is the most cost effective company since it charges $700.00 which is less that Upscale Home Painting company's painting charges of $1000.00.

Answer:

Painting USA

Step-by-step explanation:

They will charge 700

I believe the answer would be B. Hope this helps!

Graph B. best represents all the possible dollar amounts that it can save to buy a   Skateboard.

calculation:-

amount Nita needed to buy a skateboard=$85

  amount had=$61

∴ amount Nita needed more= $85-$61

                                    =$24

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