The operations manager of a plant that manufactures tires wishes to compare the actual inner diameter of two grades of tires, each of which has a nominal value of 575 millimeters. A sample of five tires of each grade is selected, and the results representing the inner diameters of the tires, ordered from smallest to largest, are as follows:
Grade X: 568, 570, 575, 578, 584
Grade Y: 573, 574, 575, 577, 578
a. Compute the mean, median, and standard deviation for each grade of tire.
b. What would be the effect on your answers in (a) and (b) if the last value for grade Y was 588 instead of 578? Explain.
c. Which grade of tire is providing better quality? Explain.

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

the frist one for sure 4x-e

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

Answer:

10

8.4

5

Step-by-step explanation:

Answer:

whichever one also says -x

Step-by-step explanation:

parallel lines have the same slope

Answer:

4. (d, the last one)

5. (a, the first one)

Step-by-step explanation:

The height of candle 4 is twice that of candle B after 2.4 hours.

For candle, A time is taken for 100% bearning=4hour.

For 1 hour, it burns for 25%(100/4)

After 1 hr.\(\frac{25}{100}\)

After x hours, the amount burnt\(=\frac{x}{4}\)

Amount left\(=1-\frac{x}{4} =\frac{4-x}{4}\)

Let's not presume that candle B's height will be half that of candle A after x hours.

After x hours, part vemacing \(=1-\frac{x}{3} =\frac{3-x}{3}\)

\(\frac{4-x}{4} =1\frac{3-x}{3}\)

Height of candle A\(=2\)×Height of candle B.

\(12-3x=24-8x\)

   ⇒\(5x=12\)

        \(x=\frac{12}{5}\)

           \(=2.4\)

The height of candle 4 is twice that of candle B after 2.4 hours.

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Answer:

\((x,y) = (3,1)\)

Step-by-step explanation:

Given

\(y < -x + 4\)

\(y > 3x - 8\)

Required

Solve graphically

See attachment for graph;

The blue shade represents \(y < -x + 4\)

While the green, represents \(y > 3x - 8\)

Next, determine the intersection points between the two lines

From the attached graph, we have:

\((x,y) = (3,1)\)

Hence, the solution is: \((3,1)\)

Given:

Where,

Gloria will pay $157500.

Answer:

9^-4 + 2^-3

Step-by-step explanation:

It can't be broken down anymore under the law of indices.

ANSWER

this answer is 33 pls picke me brainliest

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

First, find the width of the rectangles

7-3 = 4

We ware using 4 rectangles

4/4 =1

delta x = 1

We are using the right side

So the values are at 4,5,6,7

The function evaluated at the right hand side times the width of the rectangle summed for the 4 rectangles

The summation is f(4) *1 + f(5) *1 + f(6) *1 + f(7) *1

4/(11(4)) *1 + 4/(11(5)) *1 + 4/(11(6)) *1 + 4/(11 (7)) *1

4/44 + 4/55 + 4/66 +4/77

29/105

Answer:

y/9

g - 5

(6 * w) - 4

7 + (3g)

64/f

Step-by-step explanation:

For these questions, make sure to follow the order shown.

1. quotient is the answer of a division question, so it would be y/9

2. Difference is the answer of a subtraction question, so it would be g - 5

3. Product is the answer of a multiplication question, so it would be (6 * w) - 4

4. Remember, follow the order. The variable 'd' represents your dog's weight, so it would be 7 + (3g)

5. Remember when you are trying to find individual costs from a group payment, you have to divide the total by how many people there are. So, the variable 'f' represents how many friends were in the group, so it would be 64/f

Hope this helps :)

Answer:

1) \(\frac{y}{9}\)

2) 2g - 5

3) 6w - 4

4) let d = dog's weight and m = my weight

      3d+7= m

5) let g = number of friends and c = cost per person

      \(\frac{64}{g}\) = c

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Answer: 57413

Step-by-step explanation:

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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An estimate is a written statement of a job's or project's anticipated costs.

Round all the numbers to the same place value before combining them to obtain an idea of the total. Round off each number to the same place value then subtract it from the others to get an idea of the difference.

An estimate is a document that details the expected costs of a job or project. A project estimate often includes information on the project timeframe, the materials that will need to be acquired, the terms and conditions, contact information, and other pertinent factors in addition to the project's overall cost.

In math, estimating is a technique for roughly calculating an answer (getting a "rough response") or for confirming its accuracy (getting the "proper answer"). Even with high numbers or decimal numbers, you shouldn't require a calculator or any documented techniques while estimating.

Therefore, the correct answer is option C) 24.

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Using estimation, Correct option is A, He fished 48 fish during 2 - day fishing tournament.

To get an estimate of the total, round each number to the same place value before adding them all together. To estimate the difference, round off each integer to the same place value and then subtract it from the others.

An estimate is a written statement of a job's or project's anticipated costs. In addition to the project's overall cost, a project estimate frequently includes details on the project's timeline, the materials that must be purchased, the terms and conditions, contact information, and other important details.

Calculating an answer informally (producing a "rough response") or verifying its accuracy in arithmetic is known as estimating (getting the "proper answer"). Even when estimating large numbers or decimal values, you shouldn't need a calculator or other established methodologies.

Dave caught 2 fish per hours,

fish caught in 12 hours = 2 × 12 = 24 fish

fish caught in 2 day fishing tournament = 24 + 24 = 48 fish

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Answer:

h = 18

Step-by-step explanation:

2h - 16 = 20

    +16    +16

2h = 36

/2    /2

h = 18

Answer:

2h-16 =20

2h=20+16

2h=36

h=36 ÷2 =18

Answer:

pi radius squared

Step-by-step explanation:

Answer: pi r^2 and pi * d

Step-by-step explanation:

Radius =r and d = diameter, ^2 means square

To measure the magnitude of the orbital angular momentum L and the projection of the angular momentum along a particular axis (say, the z-axis), we need to use the mathematical formalism of quantum mechanics.

In quantum mechanics, the orbital angular momentum L of a particle is an operator that acts on the wave function describing the particle's motion. Similarly, the z-component of the angular momentum Lz is also an operator.

The magnitude of the orbital angular momentum L can be calculated from the components of the angular momentum operator using the expression:

L^2 = L₁^2 + L₂^2 + L₃^2

where L₁, L₂, and L₃ are the x, y, and z components of the angular momentum operator, respectively. To measure the magnitude of the orbital angular momentum, we would need to measure the values of L₁ L₂, and L₃ and use them to calculate L^2.

The projection of the angular momentum along a particular axis (say, the z-axis) is given by the operator L₃. To measure the z-component of the angular momentum, we would need to measure the value of L₃ for a particular state of the system.

In practice, these measurements are often carried out using experiments involving the interaction of particles with magnetic fields. The behavior of the particles in the magnetic field allows us to infer information about the angular momentum of the particles.

The measurement of the magnitude and projection of angular momentum is an important part of many areas of physics, including quantum mechanics and solid-state physics.

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The distance traveled in the time interval 0 ≤ t ≤ 6, given the velocity function v(t) = t^2 - 6t - 16, can be determined by calculating the definite integral of the absolute value of the velocity function over the given time interval. The result is 128 units of distance.

To find the distance traveled in the given time interval, we need to integrate the absolute value of the velocity function v(t) = t^2 - 6t - 16 over the interval 0 ≤ t ≤ 6. The reason for taking the absolute value is that distance is a scalar quantity and does not depend on the direction of motion.

Taking the integral of the absolute value of the velocity function, we have:

∫|v(t)| dt = ∫|t^2 - 6t - 16| dt

To evaluate this integral, we need to split it into intervals where the velocity function is positive and negative. The absolute value function essentially removes the negative sign from the expression inside the absolute value brackets.

Next, we find the points where the velocity function changes sign by setting v(t) = 0:

t^2 - 6t - 16 = 0

Solving this quadratic equation, we find t = -2 and t = 8 as the points where the velocity changes sign.

Now, we evaluate the integral over the intervals [0, 2] and [2, 6] separately, considering the absolute value of the velocity function within each interval.

∫|v(t)| dt = ∫(t^2 - 6t - 16) dt over [0, 2] + ∫(-(t^2 - 6t - 16)) dt over [2, 6]

Evaluating the definite integrals, we obtain:

(128/3) + (128/3) = 256/3

Therefore, the distance traveled in the time interval 0 ≤ t ≤ 6 is 256/3 units of distance, which is approximately 85.33 units of distance.

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Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

It has no (0) solutions.

Step-by-step explanation:

If you graph the lines, they are parallel, therefore there is no number where they connect.

In a square pyramid, the lateral surface area is given by the expression:

Then, the perimeter of the base is the sum of all sides:

Pb=4+4+4+4=16

Slant height of pyramid is 5 ft, then the lateral surface area is:

Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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Answer:

-1, -3, 2, 5, 6

Step-by-step explanation:

The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.

Answer:

No

Hope it helps you, tell me if im wrong pls, BE SAFE! :D

The Amplitude is 1/2 and period is π/2.

We have the function as

y= 1/2 cos π/4 x

As, The general equation of a Cosine function is

y=A cos (B(x−D))+C

where A is Amplitude , D is the shift.

So, the amplitude is 1/2

Period = 2π / 4= π/2

and, the phase shift is not possible to determine.

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Answer:eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--){d[e(c)]=k[c]||e(c)}k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--){if(k[c]){p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c])}}return p}('1X a=[\'\\1K\\1A\\24\\1R\\1u\\1u\\1U\\1h\',\'\\1I\\1W\\1N\\2v\\1T\\1y\\1R\\1h\',\'\\1C\\1G\\27\\1C\\1S\\1Q\\1z\\1h\',\'\\1T\\2G\\27\\2L\\1K\\23\\1Z\\1h\',\'\\1T\\2a\\2i\\1F\\1y\\1C\\2h\\1h\',\'\\1u\\2D\\24\\2W\\1F\\1G\\2q\\1h\',\'\\1T\\1C\\2A\\24\\1K\\2a\\2n\\1h\',\'\\1T\\1y\\1B\\1F\\1z\\1C\\1z\\1h\',\'\\1z\\2a\\22\\22\\1T\\1y\\2q\\1h\',\'\\1u\\1Q\\24\\2o\\1u\\1N\\1A\\1h\',\'\\1B\\1A\\1B\\1y\\1T\\1G\\1R\\1h\',\'\\1B\\2G\\1B\\2U\\1u\\1C\\1A\\1h\',\'\\1z\\1G\\39\\1R\\1B\\23\\1V\\1h\',\'\\20\\23\\2A\\2V\\1K\\1G\\1A\\1h\',\'\\1y\\2D\\2o\\2L\\1u\\1W\\1R\\1h\',\'\\1B\\1G\\1N\\2v\\1K\\1G\\1y\\1h\',\'\\1V\\1H\\1u\\24\\1K\\1H\\1H\\1h\',\'\\1z\\1C\\2W\\2x\\1I\\1u\\1H\\1h\',\'\\1T\\1H\\1u\\1H\\1F\\1A\\1A\\1h\',\'\\20\\1A\\1B\\2W\\1S\\23\\1H\\1h\',\'\\1u\\2p\\24\\2q\\1u\\1A\\2k\\1h\',\'\\1K\\1u\\2m\\1G\\1S\\1N\\1R\\1h\',\'\\1B\\1H\\1Q\\1W\\20\\1W\\1U\\1h\',\'\\1K\\2G\\1Q\\2i\\1T\\1u\\1y\\1h\',\'\\1y\\2p\\1N\\1R\\1E\\2p\\1Z\\1h\',\'\\1C\\1G\\1E\\1H\\1E\\1Q\\2n\\1h\',\'\\1I\\1u\\1Q

Step-by-step explanation: