a group of clerks must sort 1775 files. each clerk sorts at the constant rate of 30 files per hour. some of the clerks stop working at the end of the first hour; the same number of clerks stop working at the end of the second hour; and the same number of clerks stop working at the end of the third hour. the group finishes the sorting in 3 hours and 10 minutes. find the number of files sorted during the first one and a half hours of sorting.

The confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17

On Subtracting 1 from your sample size, we get

150 – 1 = 149.

On Subtracting confidence level from 1, and then divide by two.

(1 – .95) / 2 = 0.025

Now, df = 149 and α = 0.025

from the table at df = 149 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(150) = 2.28

Now, 2.262 × 2.28 = 5.17

So, the confidence interval be,

(150 - 5.17 , 150 + 5.17) = (144.83 , 155.17)

Hence, the confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17

Learn more about Statistics here https://brainly.com/question/27165606

#SPJ4

The solution of compound inequalities is -6 < x < 24.

A compound inequality is a sentence that contains two inequality statements connected by the words "or" or "and." The conjunction "and" denotes that both statements of the compound sentence are true at the same time. It is the intersection or overlap of the solution sets for the individual statements. "Or" indicates that the entire compound sentence is true if either statement is true. It is the union or combination of the solution sets for each individual statement. A conjunction is a compound inequality that contains the word "and."

Inequalities are expressions that do not have an equal sign between them.

Given,

X - 7<17or-6x>36

First,

x - 7 < 17

x < 17 + 7

x < 24

Similarly,

-6x >36

x < [tex]\frac{-36}{6}[/tex]

x < -6

Thus,  compound inequality's solution is -6 < x < 24

To learn more about compound inequalities refer here

https://brainly.com/question/29004091

#SPJ4

Using the compound interest formula, we know that $7,672 is the interest on investments earned.

The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.

The resulting value is subsequently deducted from the loan's entire original amount.

So, interest earned on investment:

A = 9,875 (1 + 0.048/12)^ 12(12)

A = $ 15,547

Interest on investments is the money received:

= $ 15,547 - $ 9,875

= $ 7,672

Therefore, using the compound interest formula, we know that $7,672 is the interest on investments earned.

Know more about compound interest here:

https://brainly.com/question/28020457

#SPJ4

Complete question:

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. approximately how much interest is earned on the investment?

a. $4,740

b. $7,458

c. $7,672

d. $17,567

The amount of the tip that Jack gave to the waiter will be $9.42.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Jack took Diane out to supper to praise her birthday. The all out bill for the supper was $62.80. Jack needs to tip the server precisely 15%.

The amount of the tip will be given as,

⇒ 15% of $62.8

⇒ 0.15 x $62.8

⇒ $9.42

The amount of the tip that Jack gave to the waiter will be $9.42.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

1/8(3x+4y+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Percentages are a powerful way to compare samples with different numbers of observations. By standardising measures using a scale of 0 to 100, samples can be compared quickly and easily. Any graph of the data, however, must include the full range of 0 to 100 to ensure that false impressions are not created.

Electrical potential  at any point along the x-axis is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a

Given info,

A square in the x-y plane in free space has a point charge of q at comer (a/2,a/2) and the comer (a/2,-a/2) and a point charge of -q at (-a/2, a/2) and (-a/2, -a/2).

Let,

V = Q/4πε0R1 + Q/4πε0R2 + −Q/4πε0R3 + −Q/4πε0R4

  = Q/2πε0(1/R1 − 1/R3)

With,

R1 = √[(x - a/2)² + (a/2)²]

R3 = √[(x + a/2)² + (a/2)²]

At x = a/2,

R1 = a/2

R3 = a√5/2

Vx = 0.55Q/πε0a.

Therefore, Electrical potential is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a

To learn more about Electrical potential click here:

brainly.com/question/12645463

#SPJ4

Kennedy needs purchase at least 42 sets of spoons.

The minimum set of spoons needed in the restaurant = 512 spoons.

Available spoons = 264.

Each set on the sale has 6 spoons.

Let the minimum number of spoon set required be 'x'.

Then,

6x + 264 ≥ 512

Solving the in equality.

6x ≥ 512 - 264

6x ≥ 248

x ≥ 248/6

x ≥ 41.33

Thus, Kennedy needs purchase at least 42 sets of spoons.

To know more about the inequality of numbers, here

https://brainly.com/question/25275758

#SPJ4

Answer: Both the National Institute of Standards and Technology (NIST)

Step-by-step explanation:

Answer: The domain is : (-∞,5)∪(5,∞)

there is no x intercepts

y-intercept= (0,-29/5)

asymptotes= x=5, no horizantal, oblique y=x-5

there is no holes

range= (-∞,-4]∪[4,∞)

Step-by-step explanation:

The change in her investment, due to the lost money is $112

From the question, we have the following parameters that can be used in our solution:

Rate of loss = $4 per day

Duration = 4 weeks

From the above parameter, we can calculate the amount of money lost to the investment using:

Amount lost = Duration * Rate of loss

Substitute the known values in the above equation

So, we have the following equation

Amount = 4 weeks * $4

Convert weeks to days

Amount = 28 * $4

Evaluate the quotient

Amount = $112

Hence, the amount is $112

Read more about unit rate at

brainly.com/question/19493296

#SPJ1

EVENT 1 has a probability value of 0.5.

EVENT 2 has a probability value of 0.5.

There is an equal chance of getting a HEAD or a TAIL when flipping a fair coin.

A coin has two faces: Head and Tail, and the total probability is always 1

1/2 = 0.5 is the likelihood of getting a head.

1/2 = 0.5 is the probability of receiving a tail.

When the coin is tossed for the first time, E1 is the event when TAIL comes up.

When the coin is tossed a second time, E2 represents the circumstance in which HEAD appears.

EVENT 1 has a probability value of 0.5.

EVENT 2 has a probability value of 0.5.

To learn more about  probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

I Think its b

Step-by-step explanation:

(show that the ratio UV_XY and WV_ZY are equivalent.)

*3rd thing*

if it is wrong (which i dont think it is) then show me a study guide or some way to learn more about it, hope this helps

Given that each individual has a  [tex]\frac{1}{n}[/tex] chance of receiving their own name, we may indicate whether or not person I received their own name by using a sequence of n identically distributed Bernoulli random variables with

[tex]P=\frac{1}{n}[/tex] .

The total number of people who received their own name is the sum of these Bernoullis. The linearity of expectation causes the expected value of the sum to equal the sum of their respective expected values.

Since each summand has expected value  [tex]\frac{1}{n}[/tex]  and there are n of them, the expected value is one.

To know more about Bernoulli's Principle visit,

https://brainly.com/question/28061442

#SPJ4

Answer:Cherry is $4 and Pumpkin is $10

Step-by-step explanation:

Answer:

Cherry Pie: $5 each

Pumpkin Pie: $2 each

Hope this helps! :)

Step-by-step explanation:

Jill- $42, 1 Pumpkin, 8 Cherry

8*5=40

Cherry: $5 each

42-40=2

Pumpkin: $2 each

Norachai- $32, 1 Pumpkin, 6 Cherry

6*5=30

Cherry: $5 each

32-30=2

Pumpkin: $2 each

Answer:

$28/hour

Step-by-step explanation:

224 ÷ 8 = 28

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125.

Hope that helped!

The expression (5/3)x + (5/9)y is equivalent to the given expression. which is the correct answer would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

(2/3)x - (4/9)y + x + y

Rearrange the terms in the above expression,

(2/3)x + x - (4/9)y + y

Combine the likewise terms,

(5/3)x + (5/9)y

Therefore, the expression (5/3)x + (5/9)y is equivalent to the given expression.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ1

If he deleted 10 songs to every 3 he kept, then he originally had 26 songs

Answer:

30

Step-by-step explanation:

Triangles add up to 180.

Your known sides are: 15x, 31x-2, and 90 (the square on the corner of the angle tells you that it's a right angle or 90 degrees.)

First make an equation to find X

this looks like: 15x+31x-2+90=180

I just added the sides we know and set them to equal 180. Because triangles add up to 180.

Now solve this by first combining like terms

15x+31x-2+90=180 (do the numbers with x's) so 15x+31x

46x-2+90=180 (now combine the numbers without X's) so -2+90

46x+88=180 (now since 88 is positive, do the opposite and subtract it from 180. This is because 180 is on the other side of the = sign.)

46x=92 (now since 46x means 46 times x, you do the opposite of multiplication and divide 92 by 46.

This gives you x=2

Now the last thing you need to do is solve for angle A

Angle A says "15x" so you can substitute our x value (2) for the x

This looks like 15(2)    15 times 2 is 30

so 30 should be your answer

The probability is 0.6962  for the given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

X - Binomial(n = 130, p = 0.5)

Binomial can be approximated to normal with: μ = np = 130*0.5 = 65

σ = √np(1 − p) - = √130* (0.5)(1 − 0.5)

σ = 5.7

P(55 ≤ X ≤ 69 )

Since we are approximating a discrete binomial distribution by continuous normal distribution, values between 54.5 and 68.5 both approximate to 55. Thus, "between 55 and 69" corresponds to continuous normal distribution with P(54.5 < X 68.5) after continuity correction.

Normal Distribution, x₁ = 54.5, x2 = 68.5, µ = 65, σ = 5.7

We convert this to standard normal using z =

z₁ = 54.5-65/ 5.7 ≈ - 1.84

z₂ = 68.5-65/ 5.7  ≈ 0.614

P(54.5 < X < 68.5) = P(- 1.84 < Z < 0.614)

= P(Z < 0.614) − P(Z <- 1.84)

= 0.7291 - 0.0329   (from z-table)

= 0.6962

Hence the probability is 0.6962

To know more about standard deviation , visit:

brainly.com/question/475676

#SPJ4

The times that buses arrive at bus stops in various cities and in various climates are noted by a researcher in a notebook. This study is an observational one. Here option D is the correct answer.

It is an observation because it involves systematically noting people's actions, things, and occurrences without engaging in conversation or other interactions. In observational studies, the impact of a risk factor, diagnostic test, therapy, or other intervention is observed without an attempt to alter who is or is not exposed to it.

Two categories of observational studies are cohort studies and case-control studies. It cannot be a single-blind experiment, nor can it be a double-blind experiment since it is not an experiment.

Single-blind refers to a subject or an assessor. When a study is double-blind, neither the patient nor the outcome evaluator is aware of who received the prescription. It is not a survey because it relies on interviews with a representative sample of people as the main way of gathering data.

Complete question:

A researcher writes down in a notebook the arrival times of different city buses at a bus stop during different weather conditions. Which kind of study is this?

A - observational

B - survey

C - single-blind experiment

D - double-blind experiment

To learn more about observation

https://brainly.com/question/28041973

#SPJ4

The area of the triangle is 3 units^2. Since the area is equal to

hside * side/ 2.

Define area.

The measure of a region's size on a plane or curved surface is called area. While surface area refers to the area of an open surface or the boundary of a three-dimensional object, the area of a plane region or plane area refers to the area of a form or planar lamina.

Area is defined as the total amount of space occupied by a flat (2-D) surface or the shape of an object. On a sheet of paper, draw a square with a pencil. It is a two-dimensional figure. The area of a shape on paper is the area it occupies.

Solution Explained:
Given,

Length of Hypotenuse = 3units
One side = 2units

Area = (Length of Hypotenuse X Length one side) / 2
        = (3 X 2) / 2
        = 3units^2 (after calculation)

To learn more about the area, use the link given
https://brainly.com/question/25292087
#SPJ4

Answer: $1,751.4

Step-by-step explanation:

33600 = 100%

(1400*100)/33600 =

140000:33600 = 4.17

42,000 * 4.17% = 1,751.4

Because xanthan gum solutions are highly pseudoplastic (shear thinning) but not thixotropic, the initial viscosity is instantly rebuilt after high shearing.

A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge. A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis).

To know more about hypothesis,

https://brainly.com/question/29519577

#SPJ4

Cost to order as per the economic order quantity model is equal to 10units.

As given in the question,

Demand of units per month = 20 units

Ordering cost  =  $10 unit

Carrying cost = 40% of 10

                       = (40 /100) × 10

                       = $4

Economic order quantity model ( EOQ)

= √[ 2 × ( Demand rate ) × ordering cost ]/ carrying cost

Substitute the value we get,

= √ ( 2 × 20 × 10 )/ 4

= √400 / 4

= √100

= 10 units.

Therefore , as per the economic order quantity (EOQ) model cost to order is for 10 units.

Learn more about economic order quantity here

brainly.com/question/16986815

#SPJ4

Answer:

give the guy under me a brainlist lol

Step-by-step explanation: