The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution.
Ages Cumulative Frequency
18 up to 22 68
22 up to 26 78
26 up to 30 88
30 up to 34 98
34 up to 38 100
a. Construct the corresponding frequency, relative frequency, and cumulative relative frequency distributions.
b-1. How many of the guests were at least 26 but less than 30 years old?
b-2. What percent of the guests were at least 22 but less than 26 years old?
b-3. What percent of the guests were younger than 34 years old?
b-4. What percent were 34 years or older?

Answer:

A

Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A

When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"

"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"

For given example,

The product of a complex number and a real number.

Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.

The product of 'u' and 'x + iy' is,

[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]

Let [tex]2+3i[/tex] be a complex number.

For [tex]u=4[/tex],

[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]

Let [tex]u=-2[/tex],

[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]

We can observe that, the product is a scalar of the complex number.

Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

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Answer:

Maybe Plants products...

Answer:

S>1

Step-by-step explanation:

5s + 2 > 7

Subtract 2 from both sides

5s>5

Divide 5 from both sides

S>1

Solution of the inequality is s>1.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.

The inequality sign must be reversed if either side is multiplied or divided by a negative number.

5s+2 > 7

Subtracting 2 on both side,

5s > 5

s>1

Therefore, the solution set of inequality is s>1.

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Answer:

0.125.

Step-by-step explanation:

To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = 0.125.

isn't it .125?

yeah 1/8 is .125 as a decimal

Answer:love

Step-by-step explanation:

Inequalities and Absolute Value Equations.

x > 3 and x < 5

Inequality Form:3<x<5

Interval Notation:

(3,5)

An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols

The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).

Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.

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1 kg= 1000 tonnes

384 kg= 384×1000 tonnes = 384000 tonnes

Step-by-step explanation:

384kg = 0.384 tones!!!!!

Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

Answer: -2 2/3 or -8/3

Step-by-step explanation:

Hope this help

Answer:

456/7 equal to (drum rolls) 65.1428571429

Step-by-step explanation:

Answer:

pulling a king out of a deck of cards

Step-by-step explanation:

A compound event is more than one thing happening

The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event

Step-by-step explanation:

SA = ((p x h) / 2) + b

p = perimeter of the base

h= height = 11in

b = area of the base

9514 1404 393

Answer:

  (c)  75

Step-by-step explanation:

The surface area is the sum of the areas of the four triangular faces and the square base. For base side length s, the base area is ...

  A = s²

For slant height h and base s, the area of one triangular face is ...

  A = 1/2(s)(h)

Then the total surface area is ...

  SA = s² + 4(1/2sh) = s(s +2h) . . . . . surface area of square pyramid

For a side length of s = 3 in and a slant height of h = 11 in, the total surface area is ...

  SA = (3 in)(3 in + 2×11 in) = (3 in)(25 in)

  SA = 75 in²

Answer:

d = 261 miles

Step-by-step explanation:

Given that,

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.

78 126 238 284 310 356

We need to find the median of the distances.

There are 6 data. If n is even,

[tex]median =\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\median =\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{rd}+4^{th}}{2}\\\\=\dfrac{238+284}{2}\\\\=261\ mi[/tex]

So, the median distance is 261 miles.

9514 1404 393

Answer:

  R32.15

Step-by-step explanation:

Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...

  10x +12y = 138.90

  10(1.2x) +12(1.1y) = 159.54

Multiplying the first equation by 1.2 and subtracting the second gives ...

  1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)

  1.2y = 7.14 . . . . collect terms

  y = 5.95 . . . . . divide by 1.2

The value of x can be found from the first equation.

  10x + 12(5.95) = 138.90

  10x = 67.50 . . . . . . . . . . . subtract 71.40

  x = 6.75 . . . . divide by 10

Then the value of 3x+2y is ...

  3(6.75) +2(5.95) = 32.15

The original price of 3 loaves and 2 liters is R31.15.

Answer:

[tex](f-g)(2)=14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x^2+1\text{ and } g(x)=1-x[/tex]

And we want to find the value of:

[tex](f-g)(2)[/tex]

This is equivalent to:

[tex](f-g)(2)=f(2)-g(2)[/tex]

Substitute:

[tex]=(3(2)^2+1)-(1-(2))[/tex]

Evaluate:

[tex]=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14[/tex]

Therefore:

[tex](f-g)(2)=14[/tex]

The length of the arc , s is 12.217 meters.

The length of the arc can be found as follows:

length of arc = ∅/ 360 × 2πr

where

Therefore,

r = radius = 10 m

∅ = 70 degrees.

Therefore,

the length of arc s = 70 / 360 × 2 × 3.14 × 10

the length of arc s = 4396 / 360

the length of arc s = 12.2111111111

the length of arc s = 12.217 m

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Answer:

120 free throws

Step-by-step explanation:

If she misses 15% of her free throws, that means she makes 85% of them.

Find how many she attempted by dividing 102 by 0.85:

102/0.85

= 120

So, she attempted 120 free throws

The number of free throws that were attempted is 120 free throws.

Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:

= 100% - 15% = 85%

Therefore, 85% of x = 102

0.85x = 102

x = 102/0.85.

x = 120

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Answer:

unlock code is 11

A= 27

B=16

C=1

(11)^1 = 11

Step-by-step explanation:

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer:

x=5, y=16

Step-by-step explanation:

y=x^2-9

y=2x+6

solve by substitution

2x+6= x^2 -9

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

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

divide both sides by x+3

2= x-3

add 3 to both sides

x=5

y= 2(5) +6

y= 16

Answer:

Step-by-step explanation:

Solve by substitution:

Answer:

8-1/3=7 2/3+2/3=8 1/3

Step-by-step explanation:

Answer:

quads

Step-by-step explanation:

Answer:

carnation $2.50; rose $3.00

Step-by-step explanation:

Let c = price of 1 carnation.

Let r = price of 1 rose.

3c + 5r = 22.5

3c + 2r = 13.50

Subtract the se3cond equation from the first equation.

3r = 9

r = 3

Now substitute r = 3 in the first equation and solve for c.

3c + 5r = 22.5

3c + 5(3) = 22.5

3c = 7.5

c = 2.5

Answer: carnation $2.50; rose $3.00

Answer:

[tex]\triangle d=47.69 Knots[/tex]

Step-by-step explanation:

Distance of Ship A from B [tex]d_1=10 West[/tex]

Speed of Ship A [tex]V_a=17 knots West[/tex]

Speed of Ship A [tex]V_b=25 knots North[/tex]

Generally the equation for Rate of distance change is mathematically given by

[tex]\triangle d=\frac{1}{2\sqrt{(17t+10)^2+(25t)^2}}*\triangle t[17t+10^2+25t^2][/tex]

[tex]\triangle d=\frac{578+340+1250}{2\sqrt{(17t+10)^2+(25t)^2}}[/tex]

Therefore with

t=>4PM

We substitute

[tex]\triangle d=\frac{882(4)+420+648(4)}{2\sqrt(21(4)+10^2)+(18(4))^2}[/tex]

[tex]\triangle d=47.69 Knots[/tex]

Answer:

Excel is a handy software that can be used to store and organize many data sets. Using its features and formulas, you can also use the tool to make sense of your data. For example, you could use a spreadsheet to track data and automatically see sums averages and totals.

Step-by-step explanation:

Go to this website it will answer your question:) The link is below

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Answer:

75

Step-by-step explanation:

I = PRT/100

Substitute the values

in

I = 500 * 5 * 3 /100

I = 75

Answer:

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

Step-by-step explanation:

f(x) = x^4 + 16x^2

Factor out x^2

f(x) = x^2 ( x^2 +16)

f(x) = x^2 ( x^2 - -16)

The square root of -16 is 4i and -4i

Using the difference of square (a^2 - b^2) = (a-b)(a+b)

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

Answer:

3x + 3

Step-by-step explanation:

First, the 2 must be distributed. This leaves us with x + 2x + 2 + 1. x and 2x are like terms, as are 2 and 1. They can be combined, giving us 3x + 3. 3x + 3 cannot be simplified any further, so it is the final answer.

Question: X + 2 (x + 1) + 1 in the simplest form

Answer: 3x+3

Answer:

pofit made in dollars is the "independent' variable

the equation is y=4x