The principal randomly selected six students to take an aptitude test. Their scores were: 81. 4 78. 6 71. 3 77. 8 76. 9 77. 7 determine a 90% confidence interval for the mean score for all students

Answer:

I don't know if im right but t

o clarify, the m is sometimes used to distinguish between the measure of the angle (m∠ABC = a number, in degrees/radians) and the actual angle itself (the geometric object ∠ABC).

Step-by-step explanation:

Step-by-step explanation:

a) here,

diametre = 19 cm

Area = ?

Now,

Area = pie d

= 22/7 *19

59.71 cm2

Therefore, area = 59.71 sq.cm.

b)

here,

Area = 1000 sq.cm

diametre = ?

Now ,

Area = pie d

1000 = 22/7 *d

7000 = 22 * d ( cross multiply between 7&1000)

7000/22 = d

318.18 = d

Therefore, diametre = 318.18 cm .

The 90% confidence interval of absences per tutorial over the past 5 years is approximately 11.151 to 12.049 absences.

To estimate the 90% confidence interval of absences per tutorial over the past 5 years, follow these steps:

1. Identify the given data:
  Sample size (n) = 225
  Sample mean (x) = 11.6
  Sample standard deviation (s) = 4.1
  Confidence level = 90%

2. Calculate the standard error (SE):
  SE = s / sqrt(n)
  SE = 4.1 / sqrt(225)
  SE ≈ 0.273

3. Determine the critical value (z) for a 90% confidence interval:
  For a 90% confidence interval, the critical value (z) is approximately 1.645.

4. Calculate the margin of error (ME):
  ME = z * SE
  ME = 1.645 * 0.273
  ME ≈ 0.449

5. Estimate the confidence interval:
  Lower limit = x - ME
  Lower limit = 11.6 - 0.449
  Lower limit ≈ 11.151

  Upper limit = x + ME
  Upper limit = 11.6 + 0.449
  Upper limit ≈ 12.049

The 90% confidence interval of absences per tutorial over the past 5 years is approximately 11.151 to 12.049 absences.

Learn more about confidence interval

brainly.com/question/24131141

#SPJ11

Answer:

~35 cents

Step-by-step explanation:

8.72(0.04) = 0.3488 ≈ $0.35

In acid-catalyzed conditions, enol cannot be isolated, but it rapidly tautomerizes to produce a ketone. The ketone formed will have the same number of carbon atoms and a different arrangement of atoms. The tautomerization reaction can be considered as the movement of a proton from oxygen to carbon and vice versa. The acid-catalyzed tautomerization of enol to ketone is reversible and is characterized by the presence of an equilibrium mixture of the two forms.

Therefore, in the presence of a strong acid like H3O+, the enol form will be converted into the ketone form. Thus, the expected ketone from the given enol would be 2, 4-Dimethylpentan-3-one. 
The mechanism for the formation of 2,4-Dimethylpentan-3-one under acid-catalyzed conditions (H3O+) is as follows: 
[Image]
Here, the proton from the H3O+ ion adds to the oxygen atom, leading to the formation of a complex. The loss of the water molecule and the generation of carbocation results from the heterolytic cleavage of the C-O bond. In this case, the carbocation is formed at the tertiary carbon atom, which is stabilized by the hyperconjugation effect of three methyl groups.

In the final step, a water molecule acts as a nucleophile, adding to the carbocation, followed by the deprotonation of the resulting species by H2O to produce the final product. 

Therefore, the expected ketone is 2,4-Dimethylpentan-3-one

#SPJ11

Learn more about isolated and ketone https://brainly.com/question/27425066

To describe the revenue of the tile factory in terms of tiles sold, we need to rearrange the given equation:

y - 3,000 = 0.25(x - 10,000)

First, let's distribute the 0.25 to both terms in the parentheses:

y - 3,000 = 0.25x - 2,500

Next, let's isolate y by adding 3,000 to both sides:

y = 0.25x - 2,500 + 3,000

Simplifying the expression:

y = 0.25x + 500

Therefore, the function that describes the revenue of the tile factory in terms of tiles sold is:

Revenue (y) = 0.25 * Tiles sold (x) + $500

From the equation, we can see that the flat fee for delivery is $500, as it is the constant term in the equation.

Learn more about revenue here:

https://brainly.com/question/26718146

#SPJ11

To find the value of g in the given problem, we can use the slope-intercept form of a linear equation and the coordinates of the two points on the line.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept. In this case, we are given the slope of the line, which is 22.

We also have two points on the line: (4, g) and (-9, -9). We can use these points to find the value of g.

Using the coordinates (4, g), we can substitute the x-coordinate (4) and the y-coordinate (g) into the slope-intercept form. The equation becomes g = 22(4) + b.

Using the coordinates (-9, -9), we can substitute the x-coordinate (-9) and the y-coordinate (-9) into the slope-intercept form. The equation becomes -9 = 22(-9) + b.

By solving these two equations simultaneously, we can find the value of g. The value of g is the solution to the equation g = 22(4) + b.

Without further information or additional equations, it is not possible to determine the value of g uniquely. More context or equations are needed to solve for g accurately.

Learn more about  slope-intercept form here :

https://brainly.com/question/29146348

#SPJ11

The function of both burger king and mcdonalds cost are respectively; C(n) = 0.75(1.15)ⁿ and C(n) = 2.5 + 0.25n

The formula for the nth term of an arithmetic sequence is given as;

aₙ = a + (n - 1)d

where;

a is first term

n is position of term

d is common difference

For McDonald's, we are told that the initial price is $2.50 and the common difference is $0.25. Thus, the function will be;

C(n) = 2.5 + 0.25n

where n is number of years after 1998

We are told that the cost in burger king increases by 15% each year. Thus, using formula for geometric progression, the function is;

C(n) = 0.75(1 + 0.15)ⁿ

C(n) = 0.75(1.15)ⁿ

Read more about Function sequence at; https://brainly.com/question/6561461

#SPJ1

Suppose you deposit $700 each month into a savings account earns 1.8% interest per year, compounded monthly. After 30 years , we need to calculate the amount of money that will be in the bank.

To find the total amount in the bank, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the initial deposit

r = the annual interest rate (in decimal form)

n = the number of times interest is compounded per year

t = the number of years

In this case, P = $700, r = 0.018 (1.8% in decimal form), n = 12 (monthly compounding), and t = 30.Plugging in these values into the formula, we have:

A = 700(1 + 0.018/12)^(12*30)

Calculating this expression, the final amount in the bank after 30 years will be approximately $429,548.82, rounded to the nearest penny.

To learn more about compounded monthly click here : brainly.com/question/28964504

#SPJ11

Answer:

one equation is 37+109

Step-by-step explanation:

I hope this helps. I hope this is what you are looking for. I am sorry if it isn't.

Answer:          36x^3 +27x^2 = 9x^2\left(4x+3\right)

Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy

Answer:

\(x = 0\; ,-\frac{3}{4}\)

Step-by-step explanation:

\(36x^3 + 27x^2 = 0\)

\(=> 9x^2(4x + 3) = 0\)

Here, x will have 2 values :-

1) \(9x^2(4x + 3) = 0\)

\(=> \frac{9x^2(4x + 3)}{(4x+3)} = \frac{0}{4x+3}\)

\(=> 9x^2 = 0\)

\(=> \frac{9x^2}{9x} = \frac{0}{9x}\)

\(=> x = 0\)

2) \(9x^2(4x + 3) = 0\)

\(=> \frac{9x^2(4x + 3)}{9x^2} = \frac{0}{9x^2}\)

\(=> 4x+3 = 0\)

\(=> 4x+3 -3 = 0 - 3\)

\(=> 4x=-3\)

\(=> \frac{4x}{4} = \frac{-3}{4}\)

\(=> x = -\frac{3}{4}\)

The experiment involves preparing three series of three test tubes each. In the first series, small clean pieces of Cu, Zn, and Pb are added to separate tubes. The same process is repeated for the second and third series. Then, 3 mL of 1M zinc nitrate is added to the first series, 3 mL of 1M copper nitrate to the second series, and 3 mL of 1M lead nitrate to the third series. Observations and notes are made to determine what happens in each series.

In the first series of tubes, when 3 mL of 1M zinc nitrate is added to the tube containing a small piece of Cu, a redox reaction occurs. Zinc is more reactive than copper, so it displaces copper from the solution, resulting in the formation of solid copper and zinc ions in the solution.

In the second series, when 3 mL of 1M copper nitrate is added to the tube containing a small piece of Zn, another redox reaction takes place. Copper is less reactive than zinc, so it does not displace zinc from the solution. No visible reaction occurs, and the copper piece remains unchanged.

In the third series, when 3 mL of 1M lead nitrate is added to the tube containing a small piece of Pb, no significant reaction occurs. Lead is less reactive than copper and zinc, so it does not displace them from the solution. The lead piece remains unchanged.

In summary, the reactions in each series demonstrate the concept of reducing powers, with more reactive metals displacing less reactive metals from their solutions. This phenomenon is a result of the relative positions of metals in the reactivity series.

Learn more about the reactivity series here: https://brainly.com/question/30670473

#SPJ11

The expected number of orange marbles is given as follows:

129 orange marbles.

The expected number of orange marbles is obtained applying the proportions in the context of this problem.

Out of 3 + 2 + 1 + 1 = 7 marbles, 3 are orange, hence the proportion of orange marbles is given as follows:

3/7.

Out of 300 marbles, the expected amount of orange marbles is given as follows:

3/7 x 300 = 900/7 = 129 marbles. (rounded).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: \(12.39\ kg\)

Step-by-step explanation:

Given

Luis used 590 gm of flour each day

If he continues to use it for 3 weeks

A week has 7 days; so 3 weeks have 21 days

The flour used in 21 days

\(\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg\)

Thus, \(12.39\ kg\) of flour is used in 3 weeks

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.

A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.

To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.

The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.

More about the golden rectangle link is given below:

https://brainly.com/question/27915841

#SPJ2

When the eccentricity becomes zero, the ellipse becomes a circle.

The eccentricity of an ellipse is a measure of how much it deviates from a circular shape. When eccentricity is zero, it means that the distance between the foci is zero and the ellipse becomes a circle.

A circle is a special case of an ellipse in which the eccentricity is zero. In a circle, all points on the perimeter are the same distance from the center. The eccentricity of a circle is always zero because the distance between the two foci is zero. As a result, a circle can be seen as an ellipse with an eccentricity of zero.In summary, when the eccentricity becomes zero, the ellipse becomes a circle.

Learn more about eccentricity of ellipse at:

https://brainly.com/question/28991074

#SPJ11

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?

The x-intercept is (-9, 0) and there is no y-intercept (option b).

To determine the x- and y-intercepts for the graph defined by the equation x = -9, we need to understand the concept of intercepts. The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis.

Given the equation x = -9, we can see that the value of x is fixed at -9. This means that the graph will be a vertical line passing through the point (-9, 0) on the x-axis.

Now, let's analyze the answer choices:

a. x-intercept is (-9, 0))

This statement is correct. The x-intercept is indeed (-9, 0) since the graph passes through this point on the x-axis.

No y-intercept

This statement is also correct. Since the graph is a vertical line, it does not intersect the y-axis, so there is no y-intercept.

Based on the analysis of the answer choices, the correct answer is option a: The x-intercept is (-9, 0), and there is no y-intercept.

For more such questions on intercept, click on:

https://brainly.com/question/25722412

#SPJ8

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

1.5

Step-by-step explanation:

See the screenshots for step by step explanation

 Use symoballab it is helpfull

Answer:

Let's start by assigning some variables to the unknowns:

Let's call the price of one taco "t".

Let's call the price of one burrito "b".

With these variables, we can write two equations based on the information given in the problem:

5t + 2b = 13.25 (equation 1)

3t + 2b = 10.75 (equation 2)

We now have two equations and two variables. We can use algebra to solve for t and b. One way to do this is to eliminate b by subtracting equation 2 from equation 1:

(5t + 2b) - (3t + 2b) = 13.25 - 10.75

Simplifying this equation, we get:

2t = 2.5

Dividing both sides by 2, we get:

t = 1.25

So the price of one taco is $1.25.

Now that we know the price of one taco, we can substitute this value into one of the equations to solve for b. Let's use equation 1:

5t + 2b = 13.25

Substituting t = 1.25, we get:

5(1.25) + 2b = 13.25

Simplifying this equation, we get:

6.25 + 2b = 13.25

Subtracting 6.25 from both sides, we get:

2b = 7

Dividing both sides by 2, we get:

b = 3.5

So the price of one burrito is $3.5.

Therefore, the price of one taco is $1.25 and the price of one burrito is $3.5.

To know more about variables refer here

https://brainly.com/question/17344045#

#SPJ11

Answer:

{x,y} = {-5,-2}

Step-by-step explanation:

Answer:83 1/3

Step-by-step explanation: Converting all of these to improper fractions gives us 173/9 + 221/8 + 259/7. Let's first worry about adding 173/9 and 221/8. To get a common denominator lets simply use 72 (8x9). The adjusted fractions are 1384/72 + 1989/72. Now we just do simple addition, we get 3373/72. Now the pesky 259/7. We will repeat the same process, let's use 504 as a denominator now (7x72). We now have 23611/504 + 18389/504 making our final answer 42000/504 or 250/3 or 83 1/3 simplified.

which means there are two possible solutions for a triangle with A=30, a=20, and b=16.

To determine the number of possible solutions, we can use the law of sines, which states that a/sin(A) = b/sin(B) = c/sin(C). Rearranging this formula, we get sin(A)/a = sin(B)/b = sin(C)/c.

Using this formula, we can solve for the two possible values of angle B, which will give us the two possible solutions for the triangle.

First, we can solve for sin(B) using sin(A)/a = sin(B)/b. Plugging in the values given, we get sin(B) = (20/16)sin(30) = 0.625. We can use the inverse sine function to find the two possible values of angle B: B = sin^-1(0.625) = 38.7 degrees or B = 180 - sin^-1(0.625) = 141.3 degrees.

Since a triangle cannot have an angle greater than 180 degrees, the second solution is not possible. Therefore, there is only one possible value of angle B, which means there are two possible solutions for the triangle (since the third angle will be 180 - 30 - B = 111.3 degrees in both cases).

The correct answer is C, which means there are two possible solutions for a triangle with A=30, a=20, and b=16.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

There are total of 21 ducks and 14 pigs in the field.

Let's use D to represent the number of ducks and P to represent the number of pigs.

From the problem,

We know that:

D + P = 35 (the total number of ducks and pigs is 35)

2D + 4P = 98 (the total number of legs among them is 98)

We can simplify the first equation to

D = 35 - P

substitute it into the second equation:

2(35 - P) + 4P = 98

Simplifying and solving for P, we get:

70 - 2P + 4P = 98

2P = 28

P = 14

So there are 14 pigs in the field.

To find the number of ducks,

we can substitute P = 14 into the first equation and solve for D:

D + 14 = 35

D = 21

Therefore, there are total of 21 ducks and 14 pigs in the field.

For similar questions on total,

https://brainly.com/question/25109150

#SPJ4

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

For such more question on solution:

https://brainly.com/question/24644930

#SPJ8

The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1