Angelo used a radar gun to take a sample of the speeds of cars on the road in front of his house. The results are below.

{57,53,53,71,73,57,61,58,78,64,54,69,56,58,49,56,53,52,82,62,61,60,71,75,60}

Use the results of Angelo's sample to draw the following graphs by hand:
A stem-and-leaf plot,
A histogram with 5 classes,
A box plot.
Be sure your graph is neat by using a straight edge for all lines.
Use a ruler for even spacing on the axes.
Don't forget to include a title and axis labels.
Scan or take a picture of your work. You will upload your graphs in the next question.

Answer:

3/8 as a decimal is 0.375.

Answer:

Step-by-step explanation:

Divide the numerator by the denominator.

Write down the whole number part of the quotient.

Take the remainder and write it over the original denominator.

Answer:

20 units

Step-by-step explanation:

The y axis is 2-6 so subtract 6 and 2 which is 4

the x axis is 3-9 so subtract 9 and 3 which is 6

The other sides are the same

4+4+6+6= 20

Answer:

C. rectangle is cross section shape

Answer:

μp^​​​​​ = 0.8

σp^ = √0.8(1−0.8)/75​​​

Step-by-step explanation:

Answer:

option d

Step-by-step explanation:

[tex]\sf \boxed{a^m*a^n = a^{m+n}\\\\}[/tex]

[tex]\sf \left(\frac{m^{-1}m^{5}}{m^{-2}} \right)^{-3} =\left(\dfrac{m^{-1+5}}{m^{-2}}\right)^{-3}[/tex]

                 [tex]\sf = \left(\dfrac{m^4}{m^{-2}}\right)^{-3}\\\\[/tex]

[tex]\boxed{\dfrac{a^{m}}{a^{n}}=a^{m+n}}[/tex]

                    [tex]\sf = \left(m^{4-[-2]}\right)^{-3}\\\\ =\left(m^{4+2}\right)^{-3}\\\\ = \left(m^6\right)^{-3}\\\\[/tex]

[tex]\boxed{(a^{m})^n=a^{m*n}}[/tex]

                    [tex]\sf= m^{6*(-3)}\\\\ = m^{-18}[/tex]

[tex]\boxed{a^{-m}=\dfrac{1}{a^m}}[/tex]

                    [tex]\sf=\dfrac{1}{m^{18}}[/tex]

Answer:

15.75 is 6.3% of 250.

Formula:
[Percentage] x [Number Given] = [New number]

Answer:

Step-by-step explanation:

Answer:

(6 18)

Step-by-step explanation:

[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]

Answer:

The number of Zeros (roots) is

-3 and -10

Step-by-step explanation:

x^2 + 19x = 6x - 30

Answer:

$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)

Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065

Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

So you need to have y=3000(b)^x

We now know that the rate of growth is 1.065 so the b would be 1.065

y=3000(1.065)^x

Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]

Answer:

the center

Step-by-step explanation:

The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.

Answer:

1.98Gal

Step-by-step explanation:

Randy soda total is 1.5 gal + 2.25 Gal = 3.75 Gal

Andy soda total is 1.15 + 0.62 Gal = 1.77 Gal

3.75-1.77=1.98Gal

1.98

Step-by-step explanation:

1.5+2.25=3.75

1.15+0.62=1.77

3.75-1.77=1.98

Answer:

b= 7

Step-by-step explanation:

Answer:

Missing Side = 7 feet

Step-by-step explanation:

by Pythagora

25² = P² + 24²

625 - 576 = P²

P² = 49

P = √49

P = 7 feet

Answer:

Step-by-step explanation:

According to the drawing we can see the lines

Answer:

it is more like, 4x4=16

16x4=64

Step-by-step explanation:

I know it can be confusing, but you will eventually get it :)

i think you were adding 4+4+4=12, but that is not what you are supposed to do here.

Hope i helped :)

Answer:

As Per Provided Information

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]

On substituting the value in above formula we obtain

[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]

Therefore,

Finding the perimeter of square.

[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]

Substituting the value we obtain

[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]

Therefore,

Finding the area of square .

[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]

Substituting the value we get

[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]

Therefore,

Step-by-step explanation:

[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]

[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]

[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]

I hope it helped you

Answer:

8%

Step-by step explanation:

We are given:

The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.

Formula:

[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Now, simplify the equation.  The easiest way to simplify the equation is to temporially ignore the "100".

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]

Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S

[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Don't forget to multiply the result by 100 as it was temporaily hidden.

[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]

Let 100 be 100/1. Thus, our equation will be:

[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]

Multiply the numerator with the numerator and the denominator with the denominator.

[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Cancel the "0's" on the L.H.S to make it easier to simplify.

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]

Thus, 8% of the workers are unemployed workers.

Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

Answer:

SA = 434 ft^2

Step-by-step explanation:

We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.

length - L

width - W

height - H

surface area - SA

H = 8 ft

L = 14 ft

W = 7 ft

To calculate the area of each side or surface of the shed,

since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.

Surface area:

SA = 2 × (W×H + L×H) + L×W

SA = 2 × (7×8 + 14×8) + 14×7

SA = 434 ft^2

Answer:

2 + n < 14 is the inequality please

Answer:

Lauren needs to get 95  on her next math test so that the mean and median remain the same

Step-by-step explanation:

92+93+ 94+ 95+96+97+98  = 665

665/2 =95

mean=95

median=95

x=  score could Lauren get on her next math

(665+ x)/8 =95

multiply both sides by 8 to eliminate fraction

665 +x = 760

x=95

So now the median is the same

(95+95)/2=95

      shorcut:

with 7 scores 95 is the median(in the middle)

with 8 scores ,we need a number that added to 95 and divided by 2 is still 95  That number is 95

Answer:

17

Step-by-step explanation:

the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible

Answer:

Attachment 1:  graph of [tex]y=\sin(\theta)[/tex]

(using given scale)

Question (a) (Attachment 2)

[tex]\sin(\theta)=0.6[/tex]

Draw the line [tex]y=0.6[/tex] (shown in blue).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=37^{\circ},143^{\circ}\:\textsf{(nearest degree)}[/tex]

Question (b) (Attachment 3)

[tex]4\sin(\theta)=-3[/tex]

[tex]\implies \sin(\theta)=-\dfrac34[/tex]

Draw the line [tex]y=-\dfrac34[/tex] (shown in red).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=229^{\circ},311^{\circ}\:\textsf{(nearest degree)}[/tex]

Rise: -4

Run: 3

Hope it helps.

Do comment if you have any query.