The table shows the age, in years, of employees in a company.
Age (a) in years
Frequency
18 < a < 20
3
20 < a < 22
2
22 < a < 24
7
24 < a < 26
8
0
26 < a
a) Find the modal class interval.​

Answer:

30 inches

Step-by-step explanation:

She has 10 packages of yarn.

She uses 1/3 package of yarn for each inch of the scarf.

Therefore, 1 package of yarn will be 3 times each inch:

3 * 1 = 3 inches

1 package of yarn goes for 3 inches of scarf.

Therefore, 10 packages will go for:

10 * 3 = 30 inches

Answer:

-18

Step-by-step explanation:

We are given the expression:

4h+j

We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.

4(-4)+-2

4(-4)-2

Solve according to PEMDAS

Multiply 4 and -4

-16-2

Subtract 2 from -16

-18

Answer: 4(-4)+(-2)=-18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]

sin150° = sin30° = [tex]\frac{1}{2}[/tex]

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- [tex]\frac{\sqrt{3} }{2}[/tex] +  [tex]\frac{1}{2}[/tex]i )

  = - 2[tex]\sqrt{3}[/tex] + 2i , that is

(- 2[tex]\sqrt{3}[/tex], 2 ) → B

Work Shown:

i = 20 = interest we want to earn

r = 0.05 = decimal form of the annual interest rate

t = 5 = number of years

P = i/(r*t)

P = 20/(0.05*5)

P = 80

Answer:

80

Step-by-step explanation:

i got it right

Answer:

c = 3/4

Step-by-step explanation:

Lets set up an equation.

You can get

3-5c + 1 = 1-c to show that it is one less.

now we can solve it.

So by combining like terms, we get:

4-5c = 1-c

that then becomes:

3-5c = -c

--> 3 = 4c

--> c = 3/4

Answer:

c=3/4

Step-by-step explanation:

I do RSM :)

Answer:

Step-by-step explanation:

Let's take each one of those answers and test it against the graph.

"Greater app price always relates to greater profit."

***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.

"Greater app price relates to greater profit as long as the app's price is more than about $7."

***As we just saw in the above statement, this is not true.

"The largest possible profits the company can make is 7 million dollars."

***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.

"The largest possible profit the company can make is about 40 million dollars."

***From above, we know that this is true.

The only true statement is the last one.

Answer:

(m+11)^2

Step-by-step explanation:

break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.

m^2+22m+121

m^2+11m+11+121

Factorize the first 2 terms then the next 2 terms.

m^2+11m = m(m+11)

11m+121 = 11(m+11)

Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.

(m+11)(m+11) = (m+11)^2

Hope this helps

Good Luck

Answer:

m∠BCD = 82°

Option A

Step-by-step explanation:

The opposite angles of quadrilateral inscribed in a circle are supplementary.

i.e m∠A +m∠C = 180°

or, m∠BAD + m∠BCD= 180°

or, 98° + m∠BCD = 180°

or, m∠BCD = 180°-98°

or,m∠BCD = 82°

Answer: A - 82

Step-by-step explanation:

 180 - 98 = 82

took the test and got it right.

Answer:

Width of screen =57.44 cm

Step-by-step explanation:

Please refer to the attached image:

The TV screen is usually in the form of a rectangle.

The diagonal of the TV is termed as the screen size.

Size is given to be 70 cm

Height = 40 cm

As per the attached image:

BC = 40 cm

BD = 70 cm

Pythagoras theorem is given as:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Using pythagoras theorem in [tex]\triangle BDC[/tex]:

[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]

[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]

Hence, width of screen, CD =57.44 cm

Answer: the area of the star is 1.94in squared

Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.

So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also

Step-by-step explanation:

PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS

SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO

ES IGOAL A LA MITAD DEL LADO DEL CUADRO

A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]

LUEGO SE MULTIPLICA POR 4

[tex]1.96 m^{2}[/tex]

SE ENCUENTRA EL ÁREA DEL CUADRADO

A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]

FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA

A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]

Answer:

Step-by-step explanation:

Step 1:Width x 2

Step 2:Perimeter — step 1

Step 3:Step 2 divided by 2

Answer:

24 square units

Step-by-step explanation:

6×4=24

Answer:

24 square units

Step-by-step explanation:

Answer: y- 12

Step-by-step explanation:

12 is less than y so is like 12 being subtracted from y.

Answer:

E67.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

6:2:6=3:6=3/6=(1*3)/(2*3)=1/2

Answer:

its A i just took the quiz

hope i helped!

Step-by-step explanation:

Answer:

189 cm²

Step-by-step explanation:

A= bh

h=9 , b=21

21×9=189 cm²

Answer:

when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info

Step-by-step explanation:

Answer:

x=3

will still remain as the same

so you answer is x=3

Answer: y = x + 1

Step-by-step explanation:

This is poorly written, but as i understand:

We have the general equation:

y = x + i

where i is a constant, and we want this function to pass through the point x = 2 and y = 3.

Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get

y = 3 = x + i = 2 + i

3 = 2 + i

3 - 2 = i

1 = i

So our equation is y = x + 1

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

Answer:

1. positive

2. negative

3. null

Step-by-step explanation:

I looked up "all types of scatterplots and looked at which ones were on the screen

Answer:

option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

Step-by-step explanation:

The given Quadratic equation is:

[tex]3x^{2} -x-4=0[/tex]

Let us try to make factors:

[tex]3x^{2} -x-4=0[/tex]

Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:

[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]

So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:

[tex]\{-1,\dfrac{4}{3}\}[/tex]

Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

Answer:

(-x + 3)/4 = 12

Step-by-step explanation:

By doing the workingout for this expression you will get the same solution.

Answer:

The slope is 10 (y =10x +15)

Step-by-step explanation:

When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.

The formula for finding the slope is y-y divided by x-x.

so... (35)-(-5)=40        NOTE: I did 35 minus -5 but you can also do -5 minus 35.

2-(-2)=4                           But just remember to do it the same order for

                                    subtracting the x coordinates.

40/4=10

Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

Answer:

The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Step-by-step explanation:

A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].

For a triangle to be right angled triangle, following equation must hold:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].

Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.

In the given question figure, largest side, XY = 13 units

Other two sides are:

YZ = 4 units

XZ = 12 units

For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:

[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]

[tex]XY^{2} = 13^{2} = 169[/tex]

[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]

[tex]160 \neq 169[/tex]

Hence, the given triangle is not a right angled triangle because of following:

[tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Hence, option A. is correct answer.

Answer:

its A

Step-by-step explanation:just took test and got 100%

Answer:

6x^4 -15x^3 + 3x^2

Step-by-step explanation:

What we want to do here is to multiply what is outside the bracket with what is inside

That would be;

3x^2(2x^2 -5x + 1)

= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)

Opening the brackets, we have;

6x^4 -15x^3 + 3x^2

Answer:

1/9

Step-by-step explanation:

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P(red)= number of red/ total = 5/15 = 1/3

Put it back in the bag

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P (red)= number of red/ total = 5/15 = 1/3

P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9