order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately a. 0.20 b. 0.39 c. 1.96 d. 1.64

Answer: 160

Step-by-step explanation:

I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.

95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

To know more about confidence interval here.

https://brainly.com/question/24131141

#SPJ4

The distance of the flag pole from the end of the shadow is 23.32 feet.

A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:

The situation forms a right angle triangle.

Hence, using Pythagoras's theorem, we can find the distance.

Therefore,

c² = a² + b²

where

Therefore,

20² + 12²  = c²

400 + 144 = c²

c = √544

c = 23.3238075794

Therefore,

distance of the flag pole to the end of the shadow = 23.32 feet

learn more on right triangle here: https://brainly.com/question/4364353

#SPJ1

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

Answer:

The number of positive real zeros is 2 or 0

Step-by-step explanation:

Given

\(f(x)=x^5+3x^2-4x+2\)

Required

Number of positive real zeros

Using Descartes rule of signs;

We write out the signs in front of each term;

Sign = + + - +

Count the number of times the sign alternate; i.e. from positive to negative and from negative to positive

From positive to negative, we have: 1 (i.e. + - )

From negative to positive, we have: 1 (i.e. - +)

Add up the count

\(count = 1+1\)

\(count = 2\)

Hence, the number of positive real zeros is 2 or 0

Answer:

11-96

Step-by-step explanation:

The money required for Simon to buy two more plants is 11.96

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

Number of plants Simon bought = 3 plants

Total amount of plants = 17.94

Amount for one plant = Total amount of plants / Number of plants bought

So , Amount for one plant = 17.94 / 3

                                           = 5.98

Therefore , Amount of cost for Simon to buy two more plants = Amount of one plant x 5.98

= 5.98 x 2

= 11.96

Hence , The money required for Simon to buy two more plants is 11.96

To learn more about Average , click :

https://brainly.com/question/20050077

#SPJ2

Answer: 177.65

Step-by-step explanation:

its the only accurate  answer.........

Answer: The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance Each pants = 50% chance 0.50 x 0.50 = X0.25 = X Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Answer:

I have seen this question before and I believe the answer is 94

Step-by-step explanation:

The approximate area of the triangular base of James’ tank is 3025 in²

To find the approximate area of the triangular base of James' tank, we need to know what scale is.

A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension

Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.

The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²

= (11/4)²

= 121/16

Let

So, scale, S = A/A'

So, making A subject of the formula, we have

A = SA'

A = 121/16 × 400 in²

A = 121 × 25 in²

A = 3025 in²

So, the approximate area of the triangular base of James’ tank is 3025 in²

Learn more about area of triangle here:

https://brainly.com/question/27436493

#SPJ1

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

2nd Graph

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.

Answer:

2nd graph is correct

Step-by-step explanation:

After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

To know more about quadratic functions:

https://brainly.com/question/27958964

#SPJ1

Answer:

Step-by-step explanation:

A)  (f(x) - f(a)) / (x - a)

(3x²– 4x – 8 - (3a² – 4a – 8)) / (x - a)

(3x²– 4x – 8 - 3a² + 4a + 8) / (x - a)

(3(x² - a²) – 4(x - a)) / (x - a)

(3(x - a)(x + a) – 4(x - a)) / (x - a)

3(x + a) - 4

B)  (f(x + h) - f(x)) / h

(3(x + h)² -  4(x + h) - 8 - (3x² - 4x - 8)) / h

(3(x² + 2xh + h²) -  4x - 4h - 8 - 3x² + 4x + 8) / h

(3x² + 6xh + 3h² -  4x - 4h - 8 - 3x² + 4x + 8) / h

(3x² + 6xh + 3h²         - 4h - 8 - 3x²         + 8) / h

(3x² + 6xh + 3h²         - 4h       - 3x²              ) / h

(          6xh + 3h²         - 4h                            ) / h

(6xh + 3h² - 4h) / h

6x + 3h - 4

The dimensions listed above are thus neither exact nor precise.

In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.

It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.

The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.

The dimensions listed above are thus neither exact nor precise.

To learn more about True value link is here:

brainly.com/question/13623538

#SPJ4

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

More about Lucas Sequence:

https://brainly.com/question/9807586

#SPJ1

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

$60.90

Step-by-step explanation:

Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?

April: 2 times

May: 3 times

June: 1 time

2 + 3 + 1 = 6 times

6 time * 10.15 each time

= $60.90

Answer:

$60.90

Step-by-step explanation:

Add the number of times Roy mowed in total

April: 2

May: 3

June: 1

2 + 3 + 1 = 6

Multiply that amount by the $10.15 he makes each time he mows

10.15(6) = 60.9

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12

Step-by-step explanation:

15 percentage of 80.00 = 12.0000

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

1/5, 1/6, 1/7 is expressions not greater than 1/4

Step-by-step explanation:

The area of the shaded region is 559 ft².

In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:

area of the shaded region = area of rectangle - area of square

area of the shaded region = (32 * 20) - (9 * 9)

area of the shaded region = 640 - 81

area of the shaded region = 559 ft²

Learn more about area on:

https://brainly.com/question/21468598

#SPJ1

Complete Question

See attached image

Area of the triangle: 1/2 x 6 x 8 = 24 square ft.

Area of half circle: 1/2 x 3.14 x 4^2 = 25.12 square feet.

Total area : 24 + 25.12 = 49.12 square feet.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

For more such questions on line segment

https://brainly.com/question/30756145

#SPJ8

Answer:

They ordered 432 bottles of water

Step-by-step explanation:

1 multipack = 6 bottles

3 multipacks = 1 box

24 boxes = 24 (3 multipacks)

24 boxes = 72 multipacks

72 multipacks = 72 (6 bottles)

72 multipacks = 432 Bottles

Diameter of round bud is 22.29 m.

Given that,

The circumference of round bud = 70 m

We have to calculate its diameter,

Since we know that,

Its shape is circular,

Since,

The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, specifies the territory it occupies. If we open a circle and draw a straight line through it, the length of the line equals the circumference.

S,

⇒ Circumference = 2πr

Where r is radius of circle,

⇒ 70 = 2πr

⇒   r = (70/2x3.14)

⇒   r = 11.14

Here we know that,

Diameter = 2r

Hence,

Diameter = 22.29 m

To learn more about circle visit:

https://brainly.com/question/29288238

#SPJ2

Answer:

\(x < 19 + 4 \\ x < 23\)

Answer:

4760.

Step-by-step explanation:

68 x 10: 680

680 x 7: 4760

Answer:

4760

Step-by-step explanation:

Given the word REMEMBER, we want to know the probability of getting the following letter by picking one at random from the word.

item (a):

The probability of getting a letter is given by the ratio between the amount of the desired letter by the total of letters. Since we want the letter R, the probability of getting R is the amount of R's(2), by the total amount of letters(8).

The probability of getting R is 25%.

item (b):

Now we want the letter E. We just need to use the same process as we did in the previous item.

The probability of getting an E is 37.5%.

item (c):

The probability of getting either R or M, is given by the sum of the probabilities of getting R or M. From the first item we already know that p(R) = 0.25. Let's calculate

Now, we just sum those probabilites.

The probability of getting R or M is 50%.

item (d):

The probability of getting R or E is 62.5%.

.