The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the​ 5-number summary. 1.0 1.5 2.5 3.0 4.0 4.0 4.5 4.5 4.5 4.5 4.5 5.0 5.0 5.5 5.5 5.5 6.0 6.0 6.5 6.5

Value of the expression 10z + 5w is 40.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given expression

10z + 5w

z = 3

w = 2

Substituting value of z and w in the expression

10z + 5w = 10(3) + 5(2)

⇒ 10z + 5w = 30 + 10

⇒ 10z + 5w = 40

Hence, 40 is the value of the expression 10z + 5w.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

well, there are 28 + 28 + 24 = 80 pieces total, or namely that's the 100%, and we know that 24 of those are chocolates

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 24& x \end{array} \implies \cfrac{80}{24}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 10 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 10x=300\implies x=\cfrac{300}{10}\implies x=30[/tex]

To figure out what percentage of the trail mix is chocolate, we add up all the pieces, divide the number of chocolate pieces by the total and multiply by 100. In this case, we find that 35% of the trail mix is chocolate.

In order to figure out the percent of chocolate pieces in Caitlyn's trail mix, we first need to determine the total number of pieces. Caitlyn counts 28 raisins, 28 chocolate pieces, and 24 peanuts, which gives us a total of 80 pieces in the mix. Then, since there are 28 chocolate pieces, we divide 28 (chocolate pieces) by 80 (total pieces). This will give us the decimal representation of the portion of the mix that is chocolate. To convert this into a percentage, we multiply by 100. Hence, the calculation will be (28/80)*100 = 35%. So, 35% of the trail mix is chocolate.

https://brainly.com/question/34428429

#SPJ2

The ones which are equation are

[tex]\frac{3}{4}l = -9\\ 4m + 2m = 72[/tex]

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

here

-3 = d/-8

or, d = 24 (different from answer)

14 = 25 - k

or, k = 11 (different from answer)

j + 1 = j/3

or, 3j + 3 = j

or, j = -3/2 (different from answer)

3/4 l = -9

or, l = -12 ( same as answer)

-15 = n + 8

or, n = -23 (different from answer)

4m + 2m = 72

or, m = 12 (same as answer)

To learn more about equations erefer to :

https://brainly.com/question/29083151

#SPJ1

Answer:

Step-by-step explanation:

The number of new jobs that would be created would be 1,120,000. This is calculated by multiplying the number of workers (16,000,000) by the projected job growth rate (7%) which equals 1,120,000.

Answer:2200 seats per minute

Step-by-step explanation:

draw a line from 6 minutes upwards till your line and the line on the graph meet then where the line meets draw another line going across(left)

Read across (left side) and the number will be your answer

a) Before the loan is taken out and the investment is made, Karson's times' interest earned ratio is 2.63 times.

b) When the loan and the investment are made, the firm's times interest earned ratio will increase from 2.63 times to 2.87 times.

The times' interest earned ratio is the ratio that measures the company's ability to meet debt obligations using its net operating income.

The interest earned ratio is computed as the quotient of the net operating income (earnings before interest and taxes) and the interest expense.

Current net operating income = $503,000

Interest expense = $191,000

Times interest earned = 2.63 times ($503,000/$191,000)

Proposed loan = $1.15 million

Interest rate = 11%

Interest amount = $126,500 ($1,150,000 x 11%)

Additional net operating income = $408,000

New net operating income = $911,000 ($503,000 + $408,000)

New interest expense = $317,500 ($191,000 + $126,500)

Adjusted Times interest earned = 2.87 times ($911,000/$317,500)

Thus, if Karson takes the additional loan to finance the investment, its times' interest-earned ratio will increase, showing that it has the ability to settle the debt obligations.

Learn more about the times' interest earned ratio at https://brainly.com/question/28165966

#SPJ1

a. What is Karson's times' interest earned ratio before the loan is taken out and the investment is made?

b. What effect will the loan and the investment have on the firm's times interest earned ratio?

Answer:

Step-by-step explanation:

Interest per annum - 4.5

Interest per 1/3 of an annum - 4.5 x 1/3 = 1.5%

Use the S.I formula,

2400 x (100 + interest)/100

= 2400 x (100 + 1.5)/100

= 24 x 101.5

= 12 x 203

= 2436.

Pls mark as brainliest for no real reason. Cheers

Answer:

z = -8/3 - 5i

Step-by-step explanation:

Sorry, I don't know what a ti-84 calculator is.

But, I can solve this question normally.

Let the real part of z be x and the imaginary part be y.

z = x + iy

|z| = √(x²+y²)

z + |z| = x + iy + √(x²+y²) = 3 - 5i

Now, y has to be -5 as |z| is a real number so the only component affecting i is y. Therefore, y = -5.

Now, lets figure out the real part.

Cancel out imaginary part.

x + √(x² + 25) = 3

3 - x = √(x² + 25)

squaring on both sides,

9 + x² - 6x = x² + 25

6x = -16

x = -8/3

Hence the required complex number is -8/3 - 5i

Pls mark as brainliest. Cheers

The value of x, given the angle measures in Triangle ABC, can be found to be 22.

Triangle ABC is a right angled triangle which means that ACB has the angle measure of 90 degrees. This means that the angle measures left will add up to :

= Sum of interior angles in triangle - Angle ACB

= 180 - 90

= 90 degrees

If the sum of 2 x and ( 3 x - 20 ) adds up to 90 degrees, the value of x would then be:

90 = 2 x + ( 3 x - 20 )

2 x + 3 x - 20 = 90

2 x + 3 x = 90 + 20

5 x = 110

x = 110 / 5

x = 22

In conclusion, the value of x is 22.

Find out more on angle measures at https://brainly.com/question/28954637

#SPJ1

The question is:

What is the value of x?

Answer:

Step-by-step explanation:

Yes, Monica is correct. When dealing with simple interest, the amount of interest earned is determined by the principal amount, the interest rate, and the time the money is invested. Since Monica and Paul both have different principal amounts and interest rates, the amount of interest each of them earns in one year will be different. Monica's account has a higher interest rate of 3.4%, so she will earn more interest in one year compared to Paul's account, which has a lower interest rate of 2.6%.

The cost of both the shirt and pants each is $10, solved using elimination method.

Let s stand for shirt and p for trousers.

Then we may solve the following equations:

1st Equation:

2s + 3p = 50

2nd Equation:

3s +1p = 40

Our initial aim is to determine the cost of one shirt. To get rid of the pants, we might artificially multiply the second equation by -3. This is what it would look like:

2s + 3p = 50

-3(3s +1p) = -3(40) (40)

———————————————

2s + 3p = 50

-9s - 3p = -120 We can obviously remove the pants (p) now.

—————————————

-7s = -70

Divide both sides by -7 to isolate s, and we get:

s = 10 -> As a result, one shirt costs $10.

Pants = 2(10) + 3p = 50

p = $10

Let us calculate the cost of 5 shirts.

As a result, we will perform 5 x $10 = $50.

Learn more about equation  from here;

https://brainly.com/question/10413253

#SPJ4

Complete question:

You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. how much does the shirts cost?

Answer: -7.05

Step-by-step explanation: a calculator is very helpful for problems like these if you can use one in your class!

Answer:

B

Step-by-step explanation:

A quadratic function is a polynomial function which has a degree of 2, and is generally expressed in standard form: [tex]ax^2+bx+c\text{ where }a\ne 0[/tex]. The degree of a polynomial function can be determined by looking at which term has the largest exponent.

By looking at both options, B would be the correct option as it is a polynomial function with degree 2, while option A is a polynomial function with degree 1, also known as a linear equation.

The equation for the function shown in the graph is y = sin(x + π/2).

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Given a graph of a sine function,

which shows the amplitude of 1,

and value of x-intercept is π/2, when y is 0, x is π/2

the equation for sine is

y = a sin(bx)

where a is the amplitude = 1

b is π

y = sin(x),

but given x-intercept π/2,

so, y = sin(x + π/2)

Hence option A is correct.

Learn more about sine function;

https://brainly.com/question/12015707

#SPJ1

x = 3y perendicular to l

y = -3x parallel to l

y = 3x + 2 neither

x -3y = -6 perpendicular to l

6y = 2x + 10 perpendicular to l

A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.

One approach for determining a line's slope from a graph is to use the formula immediately after knowing the coordinates of two points that are on the line. Let's assume that the coordinate values for the two spots are unknown. Therefore, we also have another way to determine the slope of the line. This approach entails attempting to determine the tangent of the angle formed by the line and the x-axis.

The line is

y = -3x -1

slope is -3 by slope intercept form

The line x = 3y

or y = (1/3)*x

slope is 1/3

we know for a line perpendicular to a given line slope should be -1/m so the slope will be  (1/3)

so, x = 3y  is perpendicular

y = -3x have slope -3 so it is parallel

y = 3x + 2  slope is 3 so neither

x - 3y = -6

or , y = (1/3)*x + 2 , so slope is (1/3) so perpendicular to line

And

6y = 2x + 10

here slope is 1/3 so perpendicular to line.

To learn more about Slope refer to :

https://brainly.com/question/29194780

#SPJ1

Answer:

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

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

The expression in the mathematical form will be (1/4)( 2 - 3x ) / ( 2x ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The word form of the expression is given as adding one-fourth of two subtracted from thrice a number to twice the same number.​

The expression can be written as,

E = (1/4)( 2 - 3x ) / ( 2x ).

Hence, the expression will be (1/4)( 2 - 3x ) / ( 2x ).

To know more about an expression follow

https://brainly.com/question/14268778

#SPJ1

The correct statement regarding the addition of the fractions is given as follows:

A. (3x² + 14x + 196)/[(x + 14)(x - 14)], x ≠ -14, x ≠ 14.

The addition of fractions for this problem is given as follows:

[tex]\frac{2x}{x + 14} + \frac{x + 14}{x - 14}[/tex]

They have different denominators, hence the least common factor of the denominator is used.

The terms at the denominator have no common factor, hence the least common factor is the multiplication of them.

Dividing the least common factor by the denominator and multiplying at the numerator, the addition of the fractions is given as follows:

[2x(x - 14) + (x + 14)(x + 14)]/[(x + 14)(x - 14)]

Expanding the numerator, we have that:

2x² - 14x + x² + 28x + 196.

Combining the like terms, the added fraction is given as follows:

(3x² + 14x + 196)/[(x + 14)(x - 14)]

The denominator cannot be zero, hence the restrictions are given as follows:

x ≠ -14, x ≠ 14.

More can be learned about operations with fractions at brainly.com/question/1622425

#SPJ1

Answer:

Step-by-step explanation:

24

Answer:

  2

Step-by-step explanation:

You want the number of incorrect answers out of 8 when 8 points are given for a correct answer and 5 points are deducted for an incorrect answer, and the total score was 38.

Let x represent the number of incorrect answers. Then 8-x is the number of correct answers, and the total score is ...

  8(8 -x) -5(x) = 38

Simplifying the equation, we have ...

  64 -13x = 38

  64 -38 = 13x . . . . . . add 13x-38

  26/13 = x = 2 . . . . . . divide by 13

Lucie solved 2 problems incorrectly.

The multiplicative inverse of 6 + 2i is 3/20 - 1/20i.

When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfills the formula: 2 x 2-1 = 2 x 12 = 1. It is also known as a number's reciprocal.

Use the following method to determine a complex number's multiplicative inverse:

The original complex number is reciprocated to find the inverse. The complex number (6+2i) has a reciprocal of 1/6+2i. Simplify by multiplying the reciprocal's numerator and denominator by the conjugate of the denominator:

1/6+2i × 6 - 2i/6 - 2i

3/20 - 1/20i.

To know more about multiplicative inverse visit:-

https://brainly.com/question/13715269

#SPJ1

The area of the shape in the figure is calculated to be 180 m²

The area of the shape in the figure can be solved by breaking the shape into three rectangles, calculating the area of each rectangle and adding up

Area of rectangle is calculated by the formula

= length *  width

Area of the first rectangle

= 4 * 16

= 64

Area of the second rectangle

= (16 - 4) * (12 - 4 - 5)

= 12 * 3

= 36

Area of the third rectangle

= 16 * 5

= 80

Adding up

= 80 * 36 * 64

= 180 m²

Learn more about rectangles at:

https://brainly.com/question/25292087

#SPJ1

The value of cot(x/2) is -3.73

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, Csc(x) = -2

Since,

cscx = 1/sinx

Therefore,

1/sinx = -2

sinx = -1/2

sinx = -sin30°

x = -30°

Therefore,

cot (x/2) = cot(-15)

= -1/tan15

= -3.73

Hence, the value of cot(x/2) is -3.73

Learn more about trigonometric ratios, click;

https://brainly.com/question/25122825

#SPJ1

Answer:

x^3 + 2x^2 + 4x - 8

Step-by-step explanation:

To find the product of (x-2)(x^2+2x+4), we can use the distributive property.

(x-2)(x^2+2x+4) = x(x^2+2x+4) - 2(x^2+2x+4)

= x^3 + 2x^2x - 2x^2 - 4x - 8

= x^3 + 2x^2 + 4x - 8

Answer:

You must apply the distributive principle x3 + 2x2 + 4x - 8 (x-2)(x2+2x+4) = x(x2+2x+4) - 2(x2+2x+4) to obtain the product of (x-2)(x2+2x+4).

So, therefore it is

= x^3 + 2x^2x - 2x^2 - 4x - 8

= x^3 + 2x^2 + 4x - 8

Step-by-step explanation:

( 3, 0 ) is a solution to the system of linear equations .

What is a linear equation explain?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1.

y = −x + 3

( 3, 0 ) Put in equation

0 = - 3 +  3

 0 =  0

− 3y = 15

Learn more about linear equations

brainly.com/question/11897796

#SPJ1

230p – 1010 = 650p – 400 – p and 2.3p – 10.1 = 6.49p – 4 are the equations after rewriting their properties have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p.

As with other words like "equal," "equality," and "equate," the word "equa" at the start of the equation will sound familiar to you. Making things balance out is the theme of all these words. A statement of two quantities' equality is expressed by an equation.

You might still attempt to make the two sides equal even if the equation is not mathematical but rather, say, interpersonal. It might be simpler for two people to decide to remain together for a while if marriage is removed from the picture, for instance.

Given the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p

When multiplied by 100, it becomes

230p – 1010 = 650p – 400 – p

And 6.5p - 0.01p = 6.49p

So, 2.3p – 10.1 = 6.49p – 4

Thus, 230p – 1010 = 650p – 400 – p and 2.3p – 10.1 = 6.49p – 4 are the equations after rewriting their properties have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Learn more about equations

https://brainly.com/question/29657983

#SPJ1

Answer:

Choice B: x = 3

Step-by-step explanation:

The standard equation of a parabola is
[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]

where

(h, k) is the vertex and |p| is the focal length

The given equation is
[tex](y - 3)^2 = 8(x - 5)[/tex]

Convert this to standard form and compare with general equation

Answer: Choice B: x = 3

The total number of oranges that the trader bought is 31

A trader bought some oranges at the price of #50 each

He finds that Six of these oranges are rotten

He sells the remaining at #80

He makes a profit of #450

Therefore the number of oranges that the trader bought is

Let y represent the number of oranges that the trader bought

At a price of #50= 50x

6 oranges were rotten= x-6

Profit = 450

450= 80(x-6)-50x

450= 80x-480-50x

450= 80x-50x-480

450= 30x-480

450+480= 30x

930= 30x

x= 930/30

x= 31

Hence the trader bought 31 oranges

Read more on oranges here

https://brainly.in/question/15174304

#SPJ1

The probability that a student studied for 4 hours is 0.257 Or 26%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A table is given where the first column represents the number of hours a student studied math and the second column represents the number of students.

So, sum of the second column is 35. so it is the total number of students

and, only 9 of them studied mathematics for 5 hours.

Therefore, The probability that a student studied for 4 hours is,

= 9/35

= 0.257 or 26%.

learn more about probability here :

brainly.com/question/743546

#SPJ1

The equation of the parabola, in vertex-form, is given as follows:

y = -(x - 6)² + 6.

The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:

y = a(x - h)² + k

In which the parameters of the equation are given as follows:

The axis of symmetry is at x = 6, hence:

h = 6.

The maximum height if of 6, hence:

k = 6.

Thus:

y = a(x - 6)² + 6.

The parabola passes through the point (7,5), meaning that when x = 7, y = 5, and thus the leading coefficient a is obtained as follows:

5 = a(7 - 6)² + 6.

a = -1.

Hence the parabola is defined as follows:

y = -(x - 6)² + 6.

More can be learned about the equation of a parabola at https://brainly.com/question/28976121

#SPJ1