The mean and standard deviation of a random sample of n measurements are equal to and ​, respectively. a. Find a ​% confidence interval for if n. b. Find a ​% confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

Answer:

membrane-bound cell organelles

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.

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Answer:

5

Step-by-step explanation:

Use the Exterior Angle Theorem.

The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.

In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:

17x - 4 + 8x = 121

First, combine like terms:

17x + 8x - 4 = 121

(17x + 8x) - 4 = 121

(25x) - 4 = 121

Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides of the equation:

25x - 4 (+4) = 121 (+4)

25x = 121 + 4

25x = 125

Next, divide 25 from both sides:

(25x)/25 = (125)/25

x = 125/25

x = 5

5 is your value for x.

~

Answer:

3,628,800 arrangements

Step-by-step explanation:

Permutation has to do with arrangement.

The number of ways to arrange n objects is expressed as:

n! = n(n-1)(n-2).... (n-r)!

If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is  10! ways

10! = 10*9*8*7*6*5*4*3*2*1

10! = 720*840*6

10! = 3,628,800 arrangements

Hence there are 3,628,800 arrangements of charms

Answer:

no 7+2 is 9 so yeah ;)))))))))))))))

Answer:

I'm pretty sure its 12 inches

Step-by-step explanation:

Answer:

Its a little confusing if i wrote it so here hope this helps.

Step-by-step explanation:

Answer:

Thank you ☺️

Answer:

One Hundred Sixty

Step-by-step explanation:

Answer:

$6 dollars i guess

Step-by-step explanation:

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?

Step-by-step explanation:

Word problem which can be modeled by the addition of two negative numbers :

A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions

Amount spent on cracker = - $4

Amount spent on carrot = - $3

Change in account = - 4 + (-3) = - $7

B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?

Amount received from sale of cat = $9

Amount spent on plant = - $4

Change in account = 9 + (-4) = $5

C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?

Amount received from sale of pottery = $9

Amount received from sale of hat = $2

Change in account = 9 + 2 = $11

D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?

Amount spent on VCR = - $8

Amount received from sale of VCR = $9

Change in account = - 8 + 9 = $1

Answer: -0.55

Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.

Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.

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.

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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:

0

Step-by-step explanation:

he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Answer:

(2,-2)

Step-by-step explanation:

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:

(0,5)

Step-by-step explanation:

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:

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:

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).

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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:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

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:

A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Step-by-step explanation:

edge

The supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What is Sin(a + b) Identity in Trigonometry?

Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.

sin (a + b) = sin a cos b + cos a sin b

According to the question

sin(x+y)

= cos ([tex]\frac{\pi }{2} - (x+y)[/tex])

Now as (cos (x-y) = cosx cosy - sinx siny )

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)

By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)      

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)  

=  sin x cos y - cos x sin(-y)  

= sin x cos y + cos x sin y

Hence, the supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

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