What is the quotient of the following division problem? x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol. minus x squared + x to get a remainder of 0 ) 2 x + 2. minus 2 x + 2 to get a remainder of 0 and a quotient of x + 2. x + 2 x + 1 x2 + 3x + 2 0

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day.

Legacy Ranch is a relatively new housing development.

The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences.

(a) So, the decision rule is,

t is less that -1.314.

(b) Test statistics = (73 - 77) / (7.6 / √28)

    Test statistics = -2.785

(c)  The decision regarding H0 is, Reject H0.

Hence,

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

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Answer: a. 1200 items

b. 480 comedies

c. 150 horror films

Step-by-step explanation:

x=total items

a. x - 2/5 * x - 1/8 * x - 1/4 * x=270

(x - 2/5 * x - 1/8 * x - 1/4 * x=270)*40 ==> 40 is the LCM of the denominators

40x - 40*2/5 * x - 40*1/8 * x - 40*1/4 * x=270*40

40x-80x/5-40x/8-40x/4=10800

40x-16x-5x-10x=10800

24x-15x=10800

9x=10800

x=1200 items

b. 2/5 * 1200=

2400/5=480 comedies

c. 1/8*1200=

1200/8=150 horror films

Answer:

c

Step-by-step explanation:

if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)

8² + 6² = 10²

64 + 36 = 100

100 = 100

Answer:

Step-by-step explanation:

C

Answer:

4:1

I hope this helps a little bit.

Answer:i cant see the picture, try re uploding it

Step-by-step explanation:

Answer:

\(r=\frac{l}{pt}\)

Step-by-step explanation:

l = prt

r = l/pt

The expected value of X E[X] is 3.66 and the variance of X V[X] is 3.5864.

To find the expected value (E[X]) and variance (V[X]) of the random variable X given its cumulative distribution function (CDF), we can use the following formulas:

E[X] = ∫ x f(x) dx, where f(x) is the probability density function (PDF) of X

V[X] = E[X^2] - (E[X])^2

First, we need to find the PDF of X by taking the derivative of the CDF:

f(x) = F'(x) =

0     x<2

0.2-0       2≤x<5.7

0.5-0.2     5.7≤x<6.5

0.8-0.5      6.5≤x<8.5

1-0.8         8.5≤x

=  0       x<2

0.2        2≤x<5.7

0.3        5.7≤x<6.5

0.3         6.5≤x<8.5

0.2         8.5≤x

Now, we can use the formulas for E[X] and V[X]:

E[X] = ∫ x f(x) dx =

∫2^5.7 x(0.2) dx +

∫5.7^6.5 x(0.3) dx +

∫6.5^8.5 x(0.3) dx +

∫8.5^∞ x(0.2) dx

= 3.66

V[X] = E[X^2] - (E[X])^2 =

∫2^5.7 x^2(0.2) dx +

∫5.7^6.5 x^2(0.3) dx +

∫6.5^8.5 x^2(0.3) dx +

∫8.5^∞ x^2(0.2) dx - (3.66)^2

= 3.5864

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Complete question is:

Giving a random variable X with the following cumulative distribution function (CDF):

F(x)=

​0               x<2

0.2           2≤x<5.7

0.5          5.7≤x<6.5

0.8         6.5≤x<8.5

1             8.5≤x

Determine E[X] and V[X].

We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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The total surface area of a cube is given by the formula 6s^2, where s is the length of each side of the cube. In this case, the total surface area is given as 60 square centimeters. Therefore, we can set up the equation:

6s^2 = 60.

Dividing both sides by 6, we get:

s^2 = 10.

Taking the square root of both sides, we have:

s = √10.

The volume of a cube is given by the formula s^3. Substituting the value of s, we get:

Volume = (√10)^3 = 10√10.

Hence, the volume of the cube is 10√10 cubic centimeters, which is the final answer.

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Answer:

99 TVs

Step-by-step explanation:

5 and a half hours is about 330 minutes.

9:30 = x:330

If 30 * 11 = 330, then 9 * 11 will equal x.

Judy should inspect 99 TVs.

Answer:

24 cm^2

Step-by-step explanation:

There are 6 sides on a cube.

If the length of a side is 2, then the area of a face is 4 because it is a square.

4 x 6 = 24.

Answer:

92

Step-by-step explanation:

12x6=72

(10-6)x5= 4x5= 20

72+20= 92

Answer:

Step-by-step explanation:

Amount of water in tank 1 = amount of water in tank 2

30t +25  = -20t + 1000

Add 20t to both sides

30t + 20t + 25 = -20t + 20t + 1000

50t + 25 = 1000

Subtract 25 from both sides

50t + 25 - 25 = 1000 - 25

50t = 975

Divide both sides by 50

t = 975/50 = 39/2

  \(= 19 \frac{1}2}\)

t = 19 minutes 30 seconds

After 19 1/2 minutes both tanks will have 610 liters of water

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

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Answer:

86

Step-by-step explanation:

Answer:

60 minutes or 1 hour

Step-by-step explanation:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

6, 12, 18, 24, 30, 36, 42, 48,  54, 60

When the value of x is 7 the value of p will be equal to 8.

It is given that P varies inversely with x, so we can write that

p=k/x

where k is the proportionality constant.

here we can find the value of k by substituting the value of p and x with 7 and 8 in the relation that is given above, we get:

7=k/8

k=7*8

k=56

we the value of k to be 56 after putting the values in the relation.

Now if x is changed to 7, and k is equal to 56 we can get the value of p by putting the known values in the same relation.

p=k/x

p=56/7

p=8.

Therefore, when the value of x is 7 the value for p will be equal to 8.

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Answer:

16 years old

Step-by-step explanation:

2x+3=35

  -3.  -3

2x=32

/2. /2

x=16

Leon is 16 years old

Hopes this helps please mark brainliest

hello i see that no one has answered your question yet well im here to help:)

(1,-19),(-2,-7)

so here one way you can find the slope

i usually always use this to help me to keep it in order

------------------

(X1,Y1)(X2,Y2)

   X2-X1

   Y2-Y1

use this and your garanteed to get the right answer everytime

------------------

X = -2 – 1 = -3

Y = -7 – -19 = 12

once you do that you divide if possible

12/-3

which gives you -4

so your answer is -4

its really not hard you just got to get use to it

hope it help you:)

The slope of the line passing through the given points (1, -19) and (-2, -7) is -4.

Given the following points:

To find the slope of the line passing through the given points (1, -19) and (-2, -7):

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the points into the above formula, we have;

\(Slope. \;m = \frac{-7 \;- \;[-19]}{-2\; - \;1}\\\\Slope. \;m = \frac{-7\; + \;19}{-3}\\\\Slope. \;m = \frac{12}{-3}\)

Slope, m = -4

Therefore, the slope of the line passing through the given points is -4.

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The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

Given that,

We have to find the 10 multiples of 3.

We know that,

We can find the multiples of a number by counting the digits. A multiple in mathematics refers to the outcome or output of multiplying two numbers together.

The Least Common Multiple is the smallest common multiple of two or more numbers (Least Common Multiple).

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Therefore, The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

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The probability that the length of the meter stick X is within 5 mm of 1 meter is given as follows:

0.1974 = 19.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given as follows:

\(\mu = 1, \sigma = 2\)

The probability that the measure is within 5 mm of 1 meter is the p-value of Z when X = 1.5 subtracted by the p-value of Z when X = 0.5, hence:

X = 1.5:

Z = (1.5 - 1)/2

Z = 0.25

Z = 0.25 has a p-value of 0.5987.

X = 0.5

Z = (0.5 - 1)/2

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence the probability is of:

0.5987 - 0.4013 = 0.1974.

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Answer:

$1417.50+$4500= 5917.50

Answer:

180

Step-by-step explanation:

Answer:

D. 180°

I hope this helps!

Answer:

Step-by-step explanation:

AD and EH are parallel lines

Angle CBD = Angle CFH = x (corresponding angles)

x + 2x = 180 (angles on a straight line)

3x = 180

x = 60

Angle GFH = 120

Angle CBD = 60

When creating a control chart, there are several main issues that need to be addressed. These include identifying the process that needs to be monitored and controlled, determining the appropriate data collection methods, selecting the appropriate chart type, setting control limits, and establishing a system for interpreting and responding to chart results.

Firstly, it is important to clearly define the process being monitored and controlled, and to ensure that the data collected accurately reflects the process performance. Secondly, data collection methods need to be established, including how frequently data will be collected and who will be responsible for collecting it.
Thirdly, the appropriate type of control chart needs to be selected based on the type of data being collected and the nature of the process being monitored. This could include variable charts, attribute charts, or time-weighted charts.
Fourthly, control limits need to be established based on the expected variation in the process, and these limits need to be communicated to those responsible for the process. Finally, a system for interpreting and responding to chart results needs to be put in place, including a plan for addressing any out-of-control signals or trends in the data.

In summary, the main issues to address in creating a control chart include process identification, data collection methods, chart selection, control limit setting, and interpretation and response systems.
When creating a control chart, the main issues to address include:

1. Identifying the purpose: Determine the objective of the control chart, such as monitoring process stability, identifying variation sources, or evaluating process improvement efforts.

2. Selecting the appropriate chart type: Choose the right control chart based on the type of data (continuous or attribute) and the sample size. Common chart types include X-bar and R charts, P and NP charts, and C and U charts.

3. Establishing control limits: Calculate the appropriate control limits (upper and lower) based on statistical techniques, using historical data or process specifications.

4. Collecting and plotting data: Collect data from the process in a consistent and timely manner, and plot the data points on the control chart to visualize process behavior.

5. Analyzing and interpreting the chart: Regularly analyze the control chart for patterns or trends that indicate process shifts, trends, or excessive variation. Interpret these patterns to identify the root causes of any issues.

6. Taking corrective action: Address identified issues by implementing corrective actions to improve process stability and performance.

7. Maintaining and updating the chart: Continuously monitor and update the control chart to ensure it remains relevant and effective in identifying and addressing process issues. This may include revising control limits or adjusting sampling methods as needed.

By addressing these issues, you can create an effective control chart that helps you monitor, evaluate, and improve your process performance.

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