Jason runs the same distance each day. In one day 7-day period he ran 40 1/4 miles. He knows that there is a proportional relationship between n, the number of days and t, the total distance he runs

Answer:

C

Step-by-step explanation:

Answer:

Answer :c

step by step explanation:

A Pareto chart would be the best graph for describing the causes of defects in this scenario, as it enables the quality control manager to identify the most frequent causes of defects and prioritize them for action.

The Pareto chart would be the best graph for describing the causes of defects in this scenario.

A Pareto chart is a graphical representation of data that orders categories in descending order of frequency or size, and displays the cumulative percentage of each category.

This type of chart is particularly useful for identifying the most frequent causes of defects, as it enables the quality control manager to prioritize the causes that need to be addressed first.

In the case of defective calculators, it is likely that some causes will be more frequent than others. By using a Pareto chart, the quality control manager can quickly identify the top causes of defects and allocate resources to address them.

For example, if it turns out that worn machinery is the most common cause of defects, the manager can focus on improving the maintenance of the machinery or replacing it altogether.

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The value of E(x- μ) for the population for any given data is always equal to option b. 0.

Sum of squared deviations,

ss = 100

variance, σ² = 4

The value of E(x - μ) for the population can be determined .

Using the relationship between the sum of squared deviations (ss) and the variance (σ²).

ss = n × σ²

where ss is the sum of squared deviations,

σ² is the variance,

and n is the population size.

Substituting these values into the equation, solve for n,

⇒ 100 = n × 4

⇒ n = 100 / 4

⇒ n = 25

The expected value (E) of (x - μ) for the population is zero.

This means that on average, the difference between each data point (x) and the population mean (μ) is zero.

Therefore, the value of the expected operator E(x- μ) for the population is equal to option b. 0

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The above question is incomplete, the complete question is:

A population has sum of squared deviations, ss = 100 and variance, σ² = 4. What is the value of E(x- μ) for the population?

a. 400

b. 0

c. 10

d. 25

Answer:

There is no graph attached but it would look like this

Answer: 8 hours

Step-by-step explanation:

6/3=2

2X4=8

simple

Answer:

28 g. ................

Answer:

PAGE 1

8.) d

9.) b

PAGE 2

6.) b

7.) d

PAGE 3

4.) c

5.) a

PAGE 4

1.) c

2.) c

3.) a

PAGE 5

10.) b

11.) d

Step-by-step explanation:

PAGE 1

8.) x - 20 + x + 10 = 180 (collect like terms)

2x - 10 = 180 (add 10 on both sides)

2x = 190 (divide by 2 on both sides)

x = 95

9.) 2y + y = 180 (collect like terms)

3y = 180 (divide by 3 on both sides)

y = 60

x = y ----> x = 60

PAGE 2

6.)  16x - 6 = 90 (add 6 on both sides)

16x = 96 (divide by 16 on both sides)

x = 6

7.) 5x + 30 = 7x (subtract 5x on both sides)

30 = 2x (divide by 2 on both sides)

15 = x

PAGE 3

4.) <8 and <16 are corresponding angles

5.) 180 - 130 = 50

PAGE 4

1.)  HD and GE are skew lines

2.) AC, EG, and BD are parallel to FH

3.) EF, GH, and BF are perpendicular to FH

PAGE 5

10.) | and || only are the only ones correct

11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.

b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.

Hope this helps ya!!

Answer:

See explanation

Step-by-step explanation:

Rules to follow when rounding

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20

3. All the numbers to the right of the place you are rounding to become zero

1.Round 3 601 111 to the nearest million

= 4,000,000

2. Round 17.81 to the nearest whole number

= 18

An whole number is a number without a decimal point

3. Round 59.52 to the nearest 1 d.p.

= 59.5

1 d.p means one digits after the decimal point

4. Round 7.176 to the nearest 2d.p.

= 7.18

2 d.p means two digits after the decimal point

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

a) The probability of getting exactly 5 successes is  0.1029.

b)The  probability of getting 6 or more successes is 0.8497510126.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Here, p = 0.7, q = 0.3 and n = 10

a) The probability of getting exactly 5 successes

P (x= 5) = C(10, 5) (0.7)⁵ (0.3)⁵

             = 10!/ 5! 5! x 0.16807 x 0.00243

             = 0.1029

b)The  probability of getting 6 or more successes

P(X≥6) = 1 - P(X<6)

           = 1 - P(X = 0, 1,2, 3, 4, 5)

           = 1 - [ P(0) + P(1)  P(2) + P(3) + P(4) + P(5)]

           = 1 - [C(10, 0) \((0.3)^{10\) + C(10, 1) (0.7) \((0.3)^{9\) +  C(10, 2) (0.7)² \((0.3)^{8\)

                     + C(10, 3) (0.7)³ \((0.3)^{7\) + C(10, 4) \((0.7)^4\)\((0.3)^{6\)  + C(10, 4) \((0.7)^5\)

                                                                                                    \((0.3)^{5\)  ]

          = 1 - [ 0.0000059049 + 0.000137781 + 0.0014467005 +

                    0.009001692 + 0.036756909 +  0.1029]

          = 1 - 0.1502489874

          = 0.8497510126

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Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

Answer:

Volume of Cylinder 1 = π×r×r×h

= 22÷7×1×1×8

= 25.13cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×2×2×8

= 100.53cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×3×3×8

= 226.19cm

Answer:

Given that you eat 4 candies an hour, over 10 hours, the total candies you have eaten is 40.

Using the central limit theorem, for different sample sizes, we find the probabilities Pr(Y < 68) ≈ 0.9439, Pr(68 < Y < 69) ≈ 0.0590, and Pr(Y > 66) ≈ 0.0228.

a) In a random sample of size n = 69, we can approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 69 ≈ 0.7101. To find Pr(Y < 68), we calculate the z-score using the formula z = (x - μ) / σ, where x is the value we want to find the probability for.

z = (68 - 65) / √(0.7101) ≈ 1.5953

Using a standard normal distribution table or a calculator, we find the probability associated with z = 1.5953 to be approximately 0.9439. Therefore, Pr(Y < 68) ≈ 0.9439.

b) In a random sample of size n = 124, we can again approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will still be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 124 ≈ 0.3952. To find Pr(68 < Y < 69), we calculate the z-scores for the lower and upper limits.

Lower z-score: z1 = (68 - 65) / √(0.3952) ≈ 1.5225

Upper z-score: z2 = (69 - 65) / √(0.3952) ≈ 2.5346

Using the standard normal distribution table or a calculator, we find the probability associated with z1 = 1.5225 to be approximately 0.9357 and the probability associated with z2 = 2.5346 to be approximately 0.9947. Therefore, Pr(68 < Y < 69) ≈ 0.9947 - 0.9357 ≈ 0.0590.

c) In a random sample of size n = 196, we can once again approximate the distribution of the sample mean using a normal distribution. The mean of the sample mean will still be equal to the population mean μY = 65, and the variance of the sample mean will be σY^2 / n = 49 / 196 ≈ 0.2500. To find Pr(Y > 66), we calculate the z-score.

z = (66 - 65) / √(0.2500) = 2

Using the standard normal distribution table or a calculator, we find the probability associated with z = 2 to be approximately 0.9772. Therefore, Pr(Y > 66) ≈ 1 - 0.9772 ≈ 0.0228.

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Answer:

Step-by-step explanation:

The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.

I hope I have helped.

Answer:

The y intercept should be 2 lower than the original equation

Step-by-step explanation:

The least expensive computer after the 20% discount would be $400.

To calculate the price of the least expensive computer after the 20% discount, we need to find 20% of the original price and subtract it from the original price.

Let's assume the original price of the least expensive computer is x. The discount of 20% can be calculated as 0.20 * x. To find the discounted price, we subtract the discount from the original price: x - 0.20 * x = 0.80 * x.

Since we know that the cost of the least expensive computer ranges from $500 to $1000, we can substitute x with $500 and calculate the discounted price: 0.80 * $500 = $400. Therefore, the least expensive computer after the 20% discount would be $400.

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The equation which represents 3 x 3/4 as a unit fraction is; 3 × 3/4 = 9 × 1/4.

A unit fraction by definition is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.

On this note, the given expression when expressed as a unit fraction is;

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Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

\(y = mx+b\)

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Answer:

for every 1x there is 14y.

Answer:

-2/3

Step-by-step explanation:

-4x -4x

-4x+12=6y

/6 /6

-2/3+2=y

so the slope is -2/3

The coefficient of x⁷ in the given expression is 16.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given is the expression [x³ + (4 / x²)]⁴.

[x³ + (4 / x²)]⁴ =  (x³ + 4x⁻²)⁴

                      = (x³ + 4x⁻²)² (x³ + 4x⁻²)²

                      = (x⁶ + 8x + 16x⁻⁴) (x⁶ + 8x + 16x⁻⁴)  

                      = x¹² + 8x⁷ + 16x² + 8x⁷ + 64x² + 128x⁻³ + 16x² + 128x⁻³ +

                         256x⁻⁸

Rearranging with like terms, we get,

                      = x¹² + 16x⁷ + 96x² + 256x⁻³ + 256x⁻⁸

Hence the coefficient of x⁷ is 16.

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Answer:

New York

Step-by-step explanation:

To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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Answer:

9/50

Step-by-step explanation:

We simply divide the pizza we have (9/10) by the number of friends (5):

9/10 : 5 = 9/50

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

The constant ratio of successive y-values. is 1.5

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

The table of values of an exponential function

From the table, we have

x    y

0   11.25

1     16.875

Divide the y values

so, we have the following representation

Ratio = 16.875/11.25

Evaluate

Ratio = 1.5

Hence, the constant ratio of successive y-values. is 1.5

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Answer:

Step-by-step explanation:

To find the constant ratio of successive y-values of an exponential function, you need to divide one term by the previous term. That ratio should match for all y values1.

In this case, we can find the constant ratio by dividing each y-value by the previous one. For example, 7.5/5 = 1.5 and 11.25/7.5 = 1.5 and so on. Therefore, the constant ratio of successive y-values is 1.5