Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.

Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots

Answer: 2

Step-by-step explanation:

See attached image

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total

a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

Answer:

The two formats used in an observation checklist are:

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

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The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is  0.72p.

After the sales price and coupon is applied, the price of the laptop would reduce.

Price after the sales price = (1 - 0.2) x p = 0.8p

Price after the coupon = (1 - 0.15) x 0.8p

0.85 x 0.8p = 0.68p

A tax increases the price of the laptop.

Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p

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Answer:

Step-by-step explanation:

Q8.

Let h be the height of the flagpole

     x be the distance between point P and the flagpole.

8.1.

tan(53) = h/x

⇒ h = xtan(53)   (1)

On the other hand ,

tan(28) = h/(x+20)

⇒ h = (x+20)tan(28)   (2)

Let’s equate equation so (1) and (2) :

⇒ xtan(53) = (x+20)tan(28)

⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775

from (1) , we have :

h = xtan(53)

  = 13.370697151775×tan(53)

  = 17.743514416718

8.2.

Area ABCD = area ABD + area BCD

area ABD = (1/2) AB AD sin(BAD)

                = (1÷2)×11×7×sin(110)

                =36.178165900258

area BCD =  (1/2) DB DC sin(BDC)

firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :

DB² = AB² + AD² - 2AB AD cos(110)

      = 11^2+7^2-2×11×7×cos(110)

      = 222.671102072153

Then

DB = √(222,671102072153)

     = 14.92216814247

Going back ,

area BCD =  (1/2) DB DC sin(BDC)

                = (1÷2)× (14,92216814247)×16×sin(40)

                =76.734278333111

Conclusion :

Area ABCD = area ABD + area BCD

                   = 36.178165900258+ 76.734278333111

                   = 112.912444233369

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

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The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Here we have the following data:-

Matthew's bridge length is  [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-

[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]

Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and  Length will be H = [tex]\dfrac{7}{2}[/tex]

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Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Step-by-step explanation:

PLEASE MARK BRAINLESS

Answer: 4 ways because 4 times four is 18

Step-by-step explanation:

Answer: 7315 (i think this is right)

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

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Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Answer:

Step-by-step explanation:

Evaluate the following expression when

t=5 when t^2-2t-2

replace t with 5 and remember PEMDAS

5² - 2 * 5 - 2 =

25 - 10 - 2 =

13

Answer:

when t=5

5² - 2×5 -2 = 13

hope it's right

Answer:

30

Step-by-step explanation:

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

Answer:

See below

Step-by-step explanation:

Standard form of  h,k centered circle

(x-h)^2 + (y-k)^2 = r^2

for this circle center, h,k = 2,-13    radius = sqrt (150)= 5 sqrt 6

Answer:

Center: (2,-13)

Radius: 12.14744871

Step-by-step explanation:

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Answer:

145

Step-by-step explanation:

you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .

The speed when the power is 2000watts is 22.5m/s

If the power, P (watts), of a car engine is proportional to the square of its

speed, s(m/s), this is expressed as:

P = k/s

When s=25, P=1800 then;

1800 = k/25
k = 25 * 1800
k = 4500

In order to calculate the speed when the power is 2000;

s = k/p
s= 4500/2000
s = 22.5m/s

Hence the speed when the power is 2000watts is 22.5 m/s

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Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

k = 14

Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.

Step-by-step explanation:

It's like finding the range.

least is 2 greatest is 3 1/2

3 1/2 - 2= 1 1/2

Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

Answer:

first 2 I'm not sure about. for the first one I think its 0.5 if that's an option

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation: