You have 5 gallons of water. You use of the
water to water a tree. Then you divide the
rest of the water equally among 10 plants.
How much water does each plant get?

The causes of variation that can be identified and eliminated are called; Assignable Causes.

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

To find the value from the appropriate probability table to construct a 90% confidence interval in cell B8, you can use the T.INV function in Excel. Here's how you can do it:

1. In cell B8, enter the formula:

  ```

  =T.INV(0.95, COUNT(A2:A89)-1)

  ```

  This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

Make sure to adjust the cell references in the formula based on the actual location of your data in the spreadsheet.

Note: The T.INV function returns the value from the Student's t-distribution, which is used for small sample sizes or when the population standard deviation is unknown.

If you have a large sample size (usually considered more than 30), you can use the Z.INV function instead to calculate the value from the standard normal distribution.

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Answer:

length is 36

Step-by-step explanation:

perimeter=2L+2W

Answer:

YZ=15

Step-by-step explanation:

All sides of a rhombus are equal so it would be the same length.

There should be training and validation sets as both of them have respective contribution in developing the multiple linear regression model.

There are many variables that measure levels of industrialization that have positively correlated. In

There is a positive relationship between the INDUS, NOX and TAX as Boston has high proportion of non-retail businesses and this would lead to high taxes and pollution levels in the region.

The relationship between the dependent and independent variables is shaped in part by the two data sets.

The model is fitted using the training data, and the regression coefficients (β0, β1, …, βp.) are estimated. This will assist us in forecasting the coefficients necessary to establish the relationship between the variables.

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6.1 Predicting Boston Housing Prices

a. Why should the data be partitioned into training and validation sets?

Which predictors are likely to be measuring the same thing among the 14 predictors? Discuss the relationships among INDUS, NOX, and TAX.

Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring.

↪DEPENDENT EVENT

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events

↪INDEPENDENT EVENT

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

When two events are independent, one event does not influence the probability of another event.

Simple examples of independent events

☆...hope this helps...☆

Answer: 45.9

Step-by-step explanation: its right trust

Answer:

45 9/10 0r 45.9

Step-by-step explanation:

0.54 * 85

45.9

45 9/10

Answer:

Se requiere 34 meses para producir un interés de 8700 soles.

Step-by-step explanation:

Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:

\(C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\) (1)

Donde:

\(C_{o}\) - Capital inicial, en soles.

\(C\) - Capital actual, en soles.

\(r\) - Tasa de interés mensual, en \(\frac{1}{a}\).

\(t\) - Período de capitalización, en años.

Si sabemos que \(C_{o} = 42000\), \(C = 50700\) y \(r = 7\,\frac{\%}{a}\), entonces el período de capitalización es:

\(C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\)

\(\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}\)

\(\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)\)

\(t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}\)

\(t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}\)

\(t = 2.782\,yr\)

Es decir, se requiere 34 meses para producir un interés de 8700 soles.

The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

Sample size (n) = 16.

Sample mean = 2.8 minutes.

Sample standard deviation (σ) = 1.2 minutes.

Confidence interval given = 95%.

The degree of freedom (df) can be calculated as n - 1.

df = n - 1 = 16 - 1 = 15.

Since, the level of confidence is 95%, the level of significance α = 1 - 0.95 = 0.05.

From the T-Distribution table, we take the value at critical value α/2 with the degree of freedom 15.

\(t_{\frac{\alpha }{2} ,15}\) = 2.131.

Now, the margin of error can be shown as follows:

\(E = t_{\frac{\alpha }{2} ,15} * \frac{\sigma}{\sqrt{n} } \\\Rightarrow E = 2.131 * \frac{1.2}{\sqrt{16} }\\ \Rightarrow E = 0.6393\)

The width at the confidence interval of 95%, is twice the margin of error, that is:

Width = 2*E = 2*0.6393 = 1.2786.

Thus, the width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

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Answer:

Answer: 35/18

Step-by-step explanation:

\( \frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10} \)

use the reciprocal of 9/10 :

\( = \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18} \)

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)

\( \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ \)

\( \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ \)

\( \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) \)

\( \huge \sf\frac{-7\left(-10\right)}{4\times 9} \)

\( \huge \sf\frac{70}{36} \)

\( \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}\)

Answer:

D

Step-by-step explanation:

Because consecutively when the line heads up, it goes (8,2) then (12,3) then (16,4)

This is a relationship proportionally because for every 4 the x goes up, the y will go up 1

Answer:

D

Step-by-step explanation:

A and C aren't proportional relationships because a straight line denotes a constant of proportionality. They aren't straight so no such relationship exists. B is also incorrect because a proportional relationship means that
y = kx. When x = 0, y should also be 0, but it's not. So there is no proportional relationship between x and y for Option B.
(equation is y = x - 2)

Option D is a proportional relationship because the constant k of proportionality is 1/4. The function of Option D is y = x/4. Divide each y-value by its respective x-value and the answer will by 1/4 or 0.25 always.

Answer:

.53 pounds of dog food each day.

Step-by-step explanation:

Use PEMDAS to solve

Answer:

19= 11

20= 33

21= 22

22= 38

23= 74.8

Step-by-step explanation: if it's correct can i get brainliest.... hopes this helps.

Answer:

5/6

Step-by-step explanation:

y2-y1/x2-x1

10-5/8-2 = 5/6

Answer:

9148

Step-by-step explanation:

6000 + 3000 would equal 9000.

100 + 40 + 8 would be 148

9000 + 148 = 9148

Answer:

9148

Step-by-step explanation:

The z-score for the standard normal distribution can be either negative or positive.

This is a measure of how many standard deviations above or below the mean a raw score is. It is calculated by subtracting the mean from the raw score and then dividing by the standard deviation.

The resulting z-score tells you how many standard deviations away from the mean the raw score is.The z-score for the standard normal distribution is a very important tool in statistics because it allows us to compare scores that are measured on different scales.

By converting raw scores to z-scores, we can compare them to a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

This makes it easy to compare scores from different tests or different populations. The z-score for the standard normal distribution is not always equal to zero or the mean, nor is it always positive. It can be positive or negative, depending on whether the raw score is above or below the mean.

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Answer:

The simplified polynomial is x^3 y^2 -x^2 y^3 +xy

The value is -186

Step-by-step explanation:

The value of given polynomial for given x and y value is -180.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

The given polynomial is x²yxy-xy²xy.

Here, x=-3 and y=2

Now, (-3)²×2×(-3)×2-(-3)×2²×(-3)×2

= -108-72

= -180

Therefore, the value of given polynomial is -180.

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the area of the surface formed by revolving the curve about the given line. Polar Equation: r = 8 cos θ Interval : 0 ≤ θ ≤ π/2 Axis of Revolution Polar axis is 32π.

        The area of the surface formed by revolving the curve described by the Polar equation r = 8cosθ about the Polar axis from 0 ≤ θ ≤ π/2 is found by calculating the integral of 2πr over the interval 0 ≤ θ ≤ π/2. We can write this integral as:

          A = 2π ∫r dθ  

              = 2π ∫(8cosθ) dθ

We can solve this integral by using integration by parts:

             A = 2π (8θsinθ - ∫8sinθ dθ)

                = 2π (8θsinθ + 8cosθ)

                = 16π (θsinθ + cosθ)

   Evaluating this integral from 0 to π/2,

   we get A = 16π (π/2 + 1)

                A = 32π.

 Therefore we get the area of the surface formed by revolving the curve about the given line is 32π.

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The slope of the given straight line passing through the coordinates given would be -8.

       By + C = - Ax

       By = - Ax - C

       y = -(A/B)x - (C/B)

Given are the coordinate points lying on the line.

We can write the slope as -

m = (y₂ - y₁)/(x₂ - x₁)

m = {12 - 36}/{11 - 8}

m = -24/3

m = -8

Therefore, the slope of the given straight line passing through the coordinates given would be -8.

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Greetings from Brasil...

Here we have supplementary angles, that is, the sum of both results in 180. Therefore,

A + B = 180 ⇔ ∠1 + ∠2 = 180

∠1 + ∠2 = 180     by defining supplementary angles

143 + ∠2 = 180

∠2 = 180 - 143

Answer:

6 £

Step-by-step explanation:

Principal loan amount x Interest rate x Time (aka Number of weeks in term) = Interest.

0.5% = 0.005

60 × 0.005 × 20 = 6

The length of the diagonal is 12.6 feet.

"Information available from the question"

The perimeter of a rectangle is 32 feet.

The length is three times as long as the width.

We have to find the length of the diagonal.

Let w = width

then

3w = length.

Because we know the perimeter:

Perimeter of the rectangle is : 2(l + w)

32 = 2(w + 3w)

32 = 2(4w)

16 = 4w

4 feet = w (width)

Length:

3w = 3(4) = 12 feet

Diagonal, we use the Pythagorean theorem:

Let d = diagonal

then,

\(d^2 = 4^2 + 12^2\)

\(d^2\) = 16 + 144

\(d^2\) = 160

d = 12.6 feet

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Answer: h = 6

explanation:

first u get h by itself

4h + 6 = 30

subtract 6 from both sides

4h = 24

divide by 4 on both sides

h = 6

Answer:h=3/13

Step-by-step explanation: Subtract 6  from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h  from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.

Answer:

0.0208333...

Step-by-step explanation:

You would just divide 7 seconds by 3600 seconds (1 hr) and that would be ur answer so in this case it would be 0.0208333...

Answer:

1/48 or 0.02083 hours

Step-by-step explanation:

75s×1 min/60s×1 hour/60 mins so the seconds and minutes cancel out and you are left with 75/3600=1/48 hours

The value of f(5)  in the function are - 9 . Option B

A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.

Given the functions;

To determine the value f(5),  substitute the value of x as 5

x > 1 , so we use equation 2

From function (2)

f(5) = 1 - 2x

f(5)  = 1 - 2(5)

f(5) = 1 - 10

f(5)  = - 9

Thus, the value of f(5)  in the function are - 9 . Option B

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(a) The 95% confidence interval for μ is (30.8, 32.2). (b) The 99% confidence interval for μ is (30.3, 32.7). (c) The 90% confidence interval for μ is (31.0, 32.0).

(a) To find a 95% confidence interval for μ, we can use the formula:

CI = x ± z(α/2) * σ/√n

Where:

x is the sample mean (31.5 in this case)

z(α/2) is the z-score corresponding to the desired confidence level (0.025 for a 95% confidence level)

σ is the population standard deviation (2.45 in this case)

n is the sample size (70 in this case)

Plugging in the numbers, we get:

CI = 31.5 ± 1.96 * 2.45/√70

CI = (30.8, 32.2)

So the 95% confidence interval for μ is (30.8, 32.2).

(b) To find a 99% confidence interval for μ, we can use the same formula but with a different z-score. For a 99% confidence level, z(α/2) is 0.005. Plugging in the numbers, we get:

CI = 31.5 ± 2.58 * 2.45/√70

CI = (30.3, 32.7)

So the 99% confidence interval for μ is (30.3, 32.7).

(c) To find a 90% confidence interval for μ, we can use the same formula but with a different z-score. For a 90% confidence level, z(α/2) is 0.05. Plugging in the numbers, we get:

CI = 31.5 ± 1.645 * 2.45/√70

CI = (31.0, 32.0)

So the 90% confidence interval for μ is (31.0, 32.0).

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Answer:

Step-by-step explanation:

You need to get the numbers in the same base.

(7^2)^(x - 1) = 7^1 * 7^1/2

7^2(x - 1) = 7^(1 + 1/2)

Now you can equate the powers since the base is the same

2(x + 1) = 1.5                Remove the brackets

2x + 2 = 1.5                 Subtract 2 from both sides

2x = 1.5 - 2

2x = -1/2                     Divide by 2

2x/2 = -1/2/2

x = - 1/4

This is not an easy question. I hope the steps help you.

The given sequence is a geometric sequence and the next three terms are

-4, 2, -1

i.e  32, -16, 8, -4, 2, -1.

So option d is our correct answer.

The given sequence is 32, -16, 8, ...

We need to find what type of sequence is 32, -16, 8,... and calculate the next three terms that satisfy the given sequence.

i.e we need to find the \(4^{th},5^{th}~and~6^{th}~ term~of~the~sequence.\)

It is a sequence in which each term is found by multiplying the preceding term by a constant value 'r' called the common ratio.

Example: 4,8,16,32 where r = 2.

The formula used to find the nth term in a geometric sequence is:

\(a_n = a_1 ~r^{n-1}\)  Where a_1 is the first term of the sequence.

We have the given sequence as 32, -16, 8,......

Find the common ratio.

r = -16 / 32 = -1 / 2r = 8 /-16 = -1 / 2

Here we see that each term is found by multiplying the previous term with a common ratio r = -1/2.

So the given sequence is a geometric sequence.

Here a_1 = 32.

Applying the nth term geometric sequence to find the \(4^{th},5^{th}~and~6^{th}~ term~of~the~sequence.\)

We get,

\(a_4=a_1(\frac{-1}{2})^{4-1}\\\\a_4=32(\frac{-1}{2})^3\\\\a_4 = \frac{-32}{8}\\\\a_4=-4\\\\a_5=a_1(\frac{-1}{2})^{5-1}\\\\a_5=32(\frac{-1}{2})^4\\\\a_5 = \frac{32}{16}\\\\a_5=2\\\\a_6=a_1(\frac{-1}{2})^{6-1}\\\\a_6=32(\frac{-1}{2})^5\\\\a_6 = \frac{-32}{32}\\\\a_6=-1\\\)

We see that the sequence is 32, -16, 8, -4, 2, -1.

The given sequence is a geometric sequence and the next three terms are -4, 2 and -1

i.e 32, -16, 8, -4, 2, -1

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