what is the measure of CED

Answer:

-1 p will be a ok answer please with

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

It is found that score of 62 is not within one standard deviation of the mean.

The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

In a set with mean and standard deviation, the z- score of a measure X is given by:

[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]

Z-score, we look at the z-score table and find the p-value associated with this z-score.

Given that Mean score of 54 and a standard deviation of 6.

This means to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62.

[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]

Z = 1.33

Therefore, It is found that score of 62 is not within one standard deviation of the mean.

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ2

Answer:

(0,5)

Step-by-step explanation:

Answer:

a) At least what percentage of cars is traveling between 40 and 80 mph?

75%

b) At least what percentage of cars is traveling between 20 and 100 mph?

93.75%

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

30 cars.

Step-by-step explanation:

We apply Chebyshev's Theorem

This states that:

1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.

From the question, we have:

Mean of 60 mph

Standard deviation of 10 mph.

a) At least what percentage of cars is traveling between 40 and 80 mph?

Applying:

Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

μ – 2σ

60 - 2(10)

60 - 20

= 40 mph

μ + 2σ.

60 + 2(10)

60 + 20

= 80 mph

Hence, at least 75% of cars is traveling between 40 and 80 mph.

b) At least what percentage of cars is traveling between 20 and 100 mph?

At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.

μ – 4σ

60 - 4(10)

60 - 40

= 20 mph

μ + 4σ.

60 + 4(10)

60 + 40

= 100 mph

Hence, at least 93.75% of cars is traveling between 40 and 80 mph.

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

Since we know from question a) that

at least 75% of cars is traveling between 40 and 80 mph.

Given a sample of 40 cars:

75% of 40 cars

= 75/100 × 40

= 30 cars.

The number of cars that are traveling between 40 and 80 mph is 30 cars.

Answer:

q<392

Step-by-step explanation:

First, we turn words into an inequality. Then, we solve for q.

[tex]\frac{q}{14} <28\\q<28*14\\q<392[/tex]

It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.

[tex]3<392\\\frac{3}{14} <28[/tex]

The value satisfies the equation, so this should be correct.

Answer:

membrane-bound cell organelles

Answer: B.

I think that it is probably too late but it is table (B.)

Step-by-step explanation:

It is a proportional relationship becuase In table B. The y section goes up by .5 each time

Answer:

C does not represent a linear function.

Step-by-step explanation:

C is the only one that has a different rate of change. If you find the rate of change between the top two, the bottom two's rate of change will be different. For a function to be linear, it has to have a constant rate of change. C does not, therefore, C is the answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Good luck with whatever you are doing! Have an amazing day!

Answer:

x=  -1/3

y= -2

Step-by-step explanation:

got it right on my quiz

The solution to the system of equations is (x, y) = (5, -25) which is determined by the substitution method.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations is given, as follows

9x + 3y = -30    ....(i)

– 5x = y            ....(ii)

To solve the system of equations by substitution, we can use the second equation to substitute for y in the first equation.

First, we'll solve the second equation for y:

y = -5x

Now we'll substitute that value for y in the first equation:

9x + 3(-5x) = -30

9x - 15x = -30

-6x = -30

x = 5

Now we can substitute that value for x back into the second equation to find y:

y = -5(5)

y = -25

So the solution to the system of equations is (x, y) = (5, -25).

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

Answer:

$6 dollars i guess

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

Answer:

700%

Step-by-step explanation:

The formula to find the percentage is found below =

[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]

So to find the change in value, we must subtract 32 from 4, which gets us -28.

We know the og value already, 4 dollars.

So do the division

[tex]\frac{-28}{4} =-7[/tex]

Now the multiplcation,

-7 * 100

-700

700%

Answer:

There is no solution

Step-by-step explanation:

Let's use distributive property to solve this equation.

4(7+8m) = 8(-1+4m)

28+32m = -8+32m

    -32m        -32m

28= -8

There is no solution

Hope this helps!

Answer:

True

Step-by-step explanation:

The standard normal distribution is special case of normal distribution which centers at 0 thus the mean μ of standard normal distribution is zero and the dispersion from mean value is unity measured by standard deviation σ.

Thus, the mean of standard normal distribution is zero and standard deviation is unity.

Answer:

3.5 km between communities AC

Step-by-step explanation:

The idea is to find a common position for all the communities to locate the well

Kindly find attached a rough sketch of the problem for your reference.

Given that

AB=5km

AC=7km

From the diagram we can see that for all three communities to travel equal distance to the common well, the well has to be situated at 3.5km between communities AC.

Also, from the diagram the location of well is the intersection between the diagonals of the rectangular shape.

Answer:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

Answer:

The confidence interval is  [tex]0.2857<  p <  0.4601[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  118  

   The  number that gave the correct answer is  k =  44

Generally the sample proportion is mathematically represented as

      [tex]\^ p = \frac{44}{118}[/tex]

=>     [tex]\^ p =0.3729[/tex]

Generally given that the confidence level is  95% the level of significance is mathematically represented as

       [tex]\alpha = (100 -95) \%[/tex]

=>     [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }[/tex]

=>   [tex]E =  1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }[/tex]

=>    [tex]E = 0.0872 [/tex]

Generally 95% confidence interval is mathematically represented as  

             [tex]\r p -E <  p <  \r p +E[/tex]

=>    [tex]0.3729 -0.0872<  p <  0.3729 +0.0872[/tex]

=>  [tex]0.2857<  p <  0.4601[/tex]

Answer

Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.

Answer:

2

Step-by-step explanation:

Answer:

8x - 6 = x + 9 : Given

7x - 6 = 9 :Subtraction property of equality

7x = 15 : Addition property of equality

x = 15/7 : Division property of equality

x = 2.143

Step-by-step explanation:

Match the properties with the steps to solving the following equation.

(8x - 6) = x + 9

8x - 6 = x + 9 : Given

8x - x - 6 = x + 9 - x

7x - 6 = 9 :Subtraction property of equality

7x - 6 + 6 = 9 + 6

7x = 15 : Addition property of equality

7x/ 7 = 15/7

x = 15/7 : Division property of equality

x = 2.143

Answer:

The p-value is  [tex]p-value = 0.0039854[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1100

   The population proportion is  p = 0.50

  The sample proportion is  [tex]\^ p = 0.54[/tex]

The null hypothesis is  [tex]H_o : p = 0.50[/tex]

The alternative hypothesis is [tex]H_a : p > 0.50[/tex]

 Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]

=>   [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]

=>  [tex]z = 2.6533[/tex]

Generally from the z-table the probability of 2.6533 for a right tailed test is  

         [tex]p-value = 0.0039854[/tex]

Answer:

segment EF is twice as long as segment AB

Step-by-step explanation:

Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.

From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.

GH / CD =  12 / 6 = 2

Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB

Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

===============================================

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

1/5 = 0.2

A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

x = 9.25/0.2

x = 46.25 answer in decimal form

x = 46 + 0.25

x = 46 + 1/4

x = 46 & 1/4  answer in mixed number form

This means we have 46 full servings plus an additional 1/4 of a serving.

Answer:

2

Step-by-step explanation:

A coefficient is a number that is usually place before a variable to multiply it with.

  Given expression:

                   3.2 - 18y + 2y

The variable in this problem is y;

    So, the coefficients are:

                    -18 and +2

We have two coefficients.

Answer:

15.74

Step-by-step explanation:

[tex] {x}^{ \frac{4}{5} } - 7x[/tex]

Substitute - 2 for x.

[tex] { (- 2)}^{ \frac{4}{5} } - 7( - 2)[/tex]

[tex] \sqrt[ 5]{ { (- 2) }^{4} } - 7( - 2)[/tex]

[tex]1.74 + 14[/tex]

[tex]15.74[/tex]

(I rounded to the nearest hundredth).

Answer:

Pyrotechnics are self-contained, self -sustained explosions, fires, flames, and fireworks used in live performances, film, and other forms of entertainment. Pyrotechnics/sounds, combined together have changed the filming industry by making special effects more realistic and experiential to the viewer. This has allowed these types of effects to be done safety.

Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.

Here is the question, a definition of pyrotechnics has been asked.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Explosions, fires, flames, and fireworks that are self-contained, and self-sustaining are known as pyrotechnics and are utilized in live performances, movies, and other forms of entertainment. By enhancing the viewer's sense of realism and immersion in the special effects, fireworks and sounds have transformed the cinema industry. This has made it possible to perform these kinds of effects safely.

Thus, Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ6

Answer:

Step-by-step explanation:

7

Answer:

There are 7 groups of 5 in 35.

Answer:

8

Step-by-step explanation:

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

The appropriate age of burned wood will be "17527.5 years".

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

Find out more information about radioactive decay here:

https://brainly.com/question/1236735