As part of a math lesson on probability, Mr. Keen rolled a standard die 30 times. He predicted the die would land on three 5 times. He actually rolled a three 8 times. What is the percent error for his prediction?

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

See picture below for explanation:

Answer:

  w = 73°

Step-by-step explanation:

The relations involved in solving this figure are ...

__

The linear pair at lower left gives us a relation we can solve for x:

  x +(3x -24) = 180

  4x = 204

  x = 51

Then the sum of angles inside the quadrilateral is ...

  w +(x +15) +(2x -10) +(3x -24) = 360

  w +(51 +15) +(2(51) -10) +(3(51) -24) = 360

  w +66 +92 +129 = 360

  w = 360 -287 = 73

Angle W is 73°.

_____

Additional comment

The remaining angles are supplementary to those inside the quadrilateral:

  v = 180° -w = 107°

  y = 180° -92° = 88°

  z = 180° -66° = 114°

  x = 51°

Answer:

1/12

Step-by-step explanation:

so we know the total you have is a 12 dice cube yes? yes.

there fore you denomanator is the the total of everything-12.

there's only 1 #2 on the 12 sided dice this cause you to get 1/12

Let's see

Check coordinates

Find a

And

Put value from second one

Put in second one

So the equation is

Answer:

[tex]y=4(1.5)^x[/tex]

Step-by-step explanation:

General form of an exponential function: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Given ordered pairs:

(3, 13.5)  and  (5, 30.375)

As the y-values are increasing, the function is increasing, so b > 1

Input the given ordered pairs into the general form of the equation:

[tex]\implies ab^3=13.5[/tex]

[tex]\implies ab^5=30.375[/tex]

To find b, divide the second equation by the first:

[tex]\implies \dfrac{ab^5}{ab^3}=\dfrac{30.375}{13.5}[/tex]

[tex]\implies b^2=2.25[/tex]

[tex]\implies b=\pm \sqrt{2.25}[/tex]

[tex]\implies b= \pm 1.5[/tex]

As the function is increasing, b > 1:

⇒ b = 1.5  only

Substitute the found value of b into one of the equations and solve for a:

[tex]\implies a(1.5)^3=13.5[/tex]

[tex]\implies 3.375a=13.5[/tex]

[tex]\implies a=\dfrac{13.5}{3.375}[/tex]

[tex]\implies a=4[/tex]

Therefore, the final exponential equation is:

[tex]y=4(1.5)^x[/tex]

Here,

8x + y = 23 - 10x - y = - 27

10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8

80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)

(80x + 10y) - (-80x - 8y) = 230 - (-216)

=> 80x + 10y + 80x + 8y = 230 + 216

=> 10y + 8y = 446

=> 18y = 446

=> y = 446/18

=> y = 24.7

80x + 10y = 230

=> 80x + 10 × 24.7 = 230

=> 80x + 247 = 230

=> 80x = 230 - 247

=> 80x = -17

=> x = -17/80

=> x = - 0.21

x = -0.21 and y = 24.7

Answer:

(5) 122 feet

Step-by-step explanation:

Perimeter of fencing:

[tex]2((25 + 4 + 4) + (20 + 4 + 4))[/tex]

[tex]2(33 + 28) = 2(61) = 122[/tex]

The mark up price of the shoe would increase the final price

The given parameters are:

The final price is calculated using:

Final = Cost * (1 + Mark up)

This gives

Final = 245* (1 + 5.75%)

Evaluate

Final = 259.0875

Hence, the final price of the shoe is $259.0875

In (a), we have:

Final = 259.0875

Given that the tax is 5 3/4%, the final price after tax would be

After tax = Final * (1 + Tax)

So, we have:

After tax = 259.0875 * (1 + 5 3/4%)

Evaluate

After tax = 273.98503125

Hence, the final price of the shoe after tax is $273.98503125

Read more about mark up at:

https://brainly.com/question/1153322

Answer:

Acute triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5

Lets see

Answer:

thanks just needed points

Step-by-step explanation:

Answer:

C. m<1 = 82.5 m<2 = 97.5

Step-by-step explanation:

Using it's concept, it is found that due to the lowest Mean Absolute Deviation, his scores were closest together in Math.

Of the four classes, Math was the lower MAD, hence it has the scores that are closest together.

More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070

In the research, the distribution is described by its shape. If there are more higher values than lower values, the distribution is skewed left.

It should be noted that when the distribution of data is skewed to the left, the mean is less than the median.

The distribution can be described by its center. If the distribution is skewed left or right, the median is an accurate measure of center.

The distribution can be described by its spread. If the data set does not have an outlier, the interquartile range is an accurate measure of spread.

Learn more about research on:

https://brainly.com/question/25257347

Answer:

left, median, and range or the IQR

Step-by-step explanation:

Answer:

c = 3 + 2m

Step-by-step explanation:

Let c = total cost of call (in dollars)

Let m = number of minutes

Given:

⇒ c = 3 + 2m

Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]

The 90% confidence interval estimate is given by (0.0373, 0.0627).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]

Multiplying above equation with twelve,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]

and condition two,

The difference of their salaries is ₹2000

[tex] \sf \: x - y = 2000[/tex]

Multiplying above equation with 20

[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]

On adding equation 1 and equation 2,

[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]

Substituting the value of x in,

[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]

[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]

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Answer:  I'm pretty sure the measure is 122 degrees

Step-by-step explanation:

Answer:

A = 12 ft

Step-by-step explanation:

Perimeter ( of SQUARE) B = 64

  then each side = 64/4 = 16

AREA of SQUARE C = 400

    side X side = 400

        then side = sqrt 400

Now use Pyhtagorean Theorem to find leg of right triangle that is

   side A  Side B  hypotenuse Side C

A^2 + 16^2 = (sqrt 400)^2

A^2 = 400 - 256

A^2 = 144       then A = 12  Ft

Answer:

A translation and then a reflection

Step-by-step explanation:

A translation of 5 to the left, and then a a reflection across the x axis.

Answer:

2.08 %

Step-by-step explanation:

(36.75 - 36.00) / 36.00 = .0208  = 2.08 %

Answer:

1200 dollars

Step-by-step explanation:

x-0.16x=1008

.84x=1008

x=1200 dollars

Answer:

56n thats what ben said

Step-by-step explanation:

hohoho corent answer

Answer:

1/3 or 33.3333...%

Step-by-step explanation:

My understanding of this situation is that each dial represents a number in the combination. In order for the combination to start with 8, the first dial needs to land on 8. Since there are three numbers on the dial, the probability that the combination starts with 8 is 1/3. Hope I helped :)

Answer:

1.) Tan C = [tex]\frac{12}{5}[/tex]

2.) Sin Z = [tex]\frac{24}{26}[/tex] or [tex]\frac{12}{13}[/tex] if reduced

3.) Cos A = [tex]\frac{15}{17}[/tex]

4.) Cos A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

Let's keep in mind that;

Sin = [tex]\frac{opposite}{hypotenuse}[/tex]

Cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan = [tex]\frac{opposite}{adjacent}[/tex]

Hope this helps!

QUESTION 1

the solution is (-1,-5)

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

-y=5

y=3x-2

0=3x+3

3x=-3

x=-3/3

x=-1

Then, we use this value to find the other one

y=3x-2

y=3(-1)-2

y=-3-2

y=-5

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

x+6y=6

-6y=-2x+12

x=-2x+18

x+2x=18

x=18/3

x=6

Then, we use this value to find the other one

x+6y=6

6+6y=6

6y=6-6

y=0/6

y=6

Therefore, the solution is (6,0),

Answer:

72.8

Step-by-step explanation:

Answer:

21.6666666667

If you have to round it up it is 22.

Step-by-step explanation:

If he runs 5 times a week and his route is 4 1/3 then he runs that five times a week you do 5x4 1/3 and that is how you get your answer

Answer:

-64

Step-by-step explanation:

-4x-4x-4