The t critical value varies based on (check all that apply): the sample standard deviation the sample size the sample mean the confidence level degrees of freedom (n-1) 1.33/2 pts

The probability that all red balls will be selected is 0.0083.

The total number of ways to select 6 balls from the jar is 12C6, which is equal to 495. The number of ways to select only red balls is 4C6, which is equal to 1. So, the probability of selecting all red balls is 1/495 = 0.0083. This means that only a small chance of selecting all red balls exists among all possible selections of 6 balls.

Probability is a mathematical concept that provides a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain to occur.

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To calculate the price of a common stock that pays regular dividends, we could begin with the general formula for the valuation of a dividend-paying stock.

The formula is known as the Dividend Discount Model (DDM) or the Gordon Growth Model. It calculates the present value of all future dividends and the stock's expected growth rate. The general formula is:

Price of Stock = Dividend / (Required Rate of Return - Dividend Growth Rate)

In this formula:

- Dividend refers to the expected dividend payment for a specific period.

- Required Rate of Return is the minimum rate of return an investor expects to receive from the stock. It represents the opportunity cost of investing in that stock.

- Dividend Growth Rate is the estimated rate at which the company's dividends are expected to grow over time.

By plugging in the appropriate values for the dividend, required rate of return, and dividend growth rate, you can calculate the price of a common stock using this formula. It's important to note that this formula assumes a constant growth rate in dividends, which might not be applicable for all stocks.

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

a)

Step-by-step explanation:

he drives every workday of the week 10 miles for work.

that is 5 data every week. so the total miles driven for work during the week is

5×10 = 50 miles.

he can drive with a full tank 100 miles.

so, the remaining miles for the weekend are

100 - 5×10 = 50 miles

There is no value less than −19 and there is no value greater than 77. Therefore, there are no outliers in the given dataset.

The given data is: 2, 16, 13, 10, 16, 32, 28, 8, 7, 55, 36, 41, 29, 25.

To determine whether there is an outlier or not, we can use box plot.

However, for this question, we will use interquartile range (IQR).

IQR = Q3 − Q1

where Q1 and Q3 are the first and third quartiles respectively.

Order the data set in increasing order: 2, 7, 8, 10, 13, 16, 16, 25, 28, 29, 32, 36, 41, 55

The median is:

\(\frac{16+25}{2}$ = 20.5\)

The lower quartile Q1 is the median of the lower half of the dataset: 2, 7, 8, 10, 13, 16, 16, 25, 28 ⇒ Q1 = 10

The upper quartile Q3 is the median of the upper half of the dataset: 29, 32, 36, 41, 55 ⇒ Q3 = 36

Thus, IQR = Q3 − Q1 = 36 − 10 = 26

Any value that is less than Q1 − 1.5 × IQR and any value that is greater than Q3 + 1.5 × IQR is considered as an outlier.

Q1 − 1.5 × IQR = 10 − 1.5 × 26 = −19

Q3 + 1.5 × IQR = 36 + 1.5 × 26 = 77

There is no value less than −19 and there is no value greater than 77. Therefore, there are no outliers in the given dataset.

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The 99 percentage confidence interval for the number of chocolate chips per cookie is (47.16, 54.84).

To find the 99% confidence interval for the number of chocolate chips per cookie, we can use the formula:

CI = x‌ ± z*(σ/√n)

where x‌ is the sample mean, σ is the population standard deviation, n is the sample size, z is the z-score corresponding to the desired confidence level (in this case, 99%), and CI is the confidence interval.

First, we need to find the z-score. We can use a table or calculator to find that the z-score for a 99% confidence level is 2.58.

Next, we plug in the given values:

CI = 51 ± 2.58*(7.2/√23)

CI = 51 ± 3.84

So the 99% confidence interval for the number of chocolate chips per cookie is (47.16, 54.84).

This means that we can be 99% confident that the true population mean of chocolate chips per cookie falls within this range. It is important to note that this is only a sample estimate and there is still some degree of uncertainty in the true population mean. However, with a larger sample size and higher confidence level, we can reduce this uncertainty and increase our confidence in the estimate.

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We are given the following two points

Let us first find the slope of the line.

The slope of the line is given by

Let us substitute the given points into the above slope formula

So, the slope of the line is -5/7

Answer:

7:3

Step-by-step explanation:

you can reduce the numbers by 5 its just like fractions

The number of incorrect answers is 8.

linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Let,

number correct of answer = x

number of incorrect answer = y

Given that,

Total number of answer  x+y = 30 ......(1)

Total score = x-\(\frac{1}{4}\)y = 20  .......(2)

In equation (2) multiply by -1 on both side.

-x+\(\frac{1}{4}\)y = -20   .......(3)

Now,

Adding both the equation (1) and (3)

x+y-x+\(\frac{1}{4}\)y = 30-20

\(\frac{5}{4} y\) = 10

y = 8

Hence, The number of incorrect answers is 8.

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Answer:

-3

Step-by-step explanation:

Answer:

\(4x+7y=49\)

Step-by-step explanation:

If you don't want to go through the slope-intercept form, you can easily see that two parallel line have their x and y coefficients in the same ratio, in our case 4:7. Let the new line be, then, \(4x+7y=k\) and state that passes through our point: \(4(7)+7(3) = k \rightarrow k=49\)

To hide the last two rows in a table view in Swift and set their row heights to 0, you can modify the table view's delegate method `heightForRowAt` for the respective rows.

In Swift, you can achieve this by implementing the UITableViewDelegate protocol's method `heightForRowAt`. Inside this method, you can check if the indexPath corresponds to the last two rows (in this case, rows 9 and 10). If it does, you can return a row height of 0 to hide them from the view. Here's an example of how you can write this logic:

```swift

func tableView(_ tableView: UITableView, heightForRowAt indexPath: IndexPath) -> CGFloat {

   let numberOfRows = tableView.numberOfRows(inSection: indexPath.section)

   if indexPath.row == numberOfRows - 2 || indexPath.row == numberOfRows - 1 {

       return 0

   }

   return UITableView.automaticDimension

}

```

In the above code, `tableView(_:heightForRowAt:)` is the delegate method that returns the height of each row. We use the `numberOfRows(inSection:)` method to get the total number of rows in the table view's section. If the current `indexPath.row` is equal to `numberOfRows - 2` or `numberOfRows - 1`, we return a height of 0 to hide those rows. Otherwise, we return `UITableView.automaticDimension` to maintain the default row height for other rows.

By implementing this logic in the `heightForRowAt` method, the last two rows in the table view will be effectively hidden from the view by setting their row heights to 0.

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Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

Answer:

Step-by-step explanation:

6÷ 1/9 = 6/1 × 9/1 = 54

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Using the trigonometric symmetries we can rewrite  the expression in terms of sin(z) as:  

\(\[\frac{1}{{\sqrt{{1 - \sin^2(z)}}}} + \frac{1}{{\sin(z)}}\]\)

Let's complete the identities using the trigonometric symmetries from the table:

a. sin(-a) = -sin(a) (Using the symmetry: sin(-a) = -sin(a))

b. cos(-x) = cos(x) (Using the symmetry: cos(-x) = cos(x))

c. tan(-2) = -tan(2) (Using the symmetry: tan(-x) = -tan(x))

Now, let's rewrite the expression in terms of sin(z):

\(\sec(z) + \csc(z) = \frac{1}{\cos(z)} + \frac{1}{\sin(z)}\)

To rewrite this expression in terms of sin(z), we can use the identity:

\(\[\sec(z) = \frac{1}{\cos(z)} = \frac{1}{\sqrt{1 - \sin^2(z)}}\]\csc(z) = \frac{1}{\sin(z)}\]\)

So, the expression becomes:

\(\[\frac{1}{{\sqrt{{1 - \sin^2(z)}}}} + \frac{1}{{\sin(z)}}\]\)

This is the rewritten expression in terms of sin(z).

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To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

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For the gold worth $1323.80 per ounce ,the nugget containing 0.82 ounce of gold is worth of $1085.516.

As given in the question,

On a tour of a gold mine,

Ounce of gold contained by nuggets found in the mine = 0.82 ounce

Worth of gold per ounce = $1323.80 per ounce

Worth of nuggets containing 0.82 ounce of gold

Worth of 1 ounce of gold = $1323.80

⇒ Worth of nuggets containing 0.82 ounce of gold =$( 1323.80 ×0.82 )

                                                                                      = $1085.516

Therefore, for the gold worth $1323.80 per ounce ,the nugget containing 0.82 ounce of gold is worth of $1085.516.

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The Standard form of the equation of circle is (x+21)² + (y+19)² = 849

To transform general form to a standard form, you can use completing the square method or you can convert this equation

x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

Here, Given: x² + y² + 42x + 38y − 47 = 0

Required: Find the values of h, k, and r using this formula

x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

On comparing we get,

-2h = 42

  h = 21

-2k = 38

 k = 19

-47 = h² + k² - r²

-47 = 21² + 19² - r²

   r² = 849

  r = √849

Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849

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Answer:

8 17/50

Step-by-step explanation:

8.34

= 8 34/100

8 17/50

Answer: 8_17/50

Step-by-step explanation:

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

At the null hypothesis, it is tested if the average cost is still of $50,000, that is:

\(H_0: \mu = 50000\)

At the alternative hypothesis, it is tested if the average cost is decreasing, that is:

\(H_1: \mu < 50000\)

The test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

The parameters for this problem are:

\(\overline{x} = 49450, \mu = 50000, \sigma = 2500, n = 100\)

Hence:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{49450 - 50000}{\frac{2500}{\sqrt{100}}}\)

z = -2.2.

Using a z-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with z = -2.2, the p-value is of 0.0139.

Since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.

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Answer:

there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...

Step-by-step explanation:

Answer:thus the answer is 2

Step-by-step explanation:

Given

The Radius of a solid cylinder (r)=5cm

Height (h)=10cm

Hence

Total surface area =2πrh+2πr

2

=2πr(h+r)

=2π×5(10+5)

=π×10×15

=150πcm

2

Answer:

x^4y^2

Step-by-step explanation:

x^5 * y^6 / x * y^4

= x^5 * x^(-1) * y^6 * y^(-4)

= x^(5-1) * y^(6-4)

= x^4 * y^2

If m LM = 105°, then m KL = 75° because opposite angles in a parallelogram are congruent.

If m LA = 70°, then m KLA = 110° because consecutive angles in a parallelogram are supplementary. Therefore, m ALK = 70°.

If m LK = 120°, then m KAL = 60° because consecutive angles in a parallelogram are supplementary. Therefore, m ALM = 120°.

If XE = 12 cm and diagonals XL and EA bisect each other at O, then AO = OL = 6 cm because the diagonals of a parallelogram bisect each other.

Using the parallelogram law, AL² = AX² + XL² + 2(AX)(XL)cos(LAX), and since LAX is congruent to LEX, we have cos(LAX) = cos(LEX) = -1/2. Substituting the given values and solving for AL, we get AL = sqrt(421) cm.

If AX = 15 cm, then LX = EA = 15/2 = 7.5 cm because the diagonals of a parallelogram bisect each other. Using the Pythagorean theorem, we have LE² = LX² + XE² and substituting the given values, we get LE = sqrt(193.5) cm.

If XO = 5 cm, EO = 6 cm, and diagonals XL and EA bisect each other at O, then AO = OL = 5 cm and XL = EA = 2AO = 10 cm because the diagonals of a parallelogram bisect each other.

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Complete Question:

A. Find the measures of the other three angles of parallelogram MAKE if:

m LM = 105°

m LA = 70°

m LK = 120°

B. In parallelogram AXEL, diagonals XL and EA bisect each other at point O. Find:

The length of AL if XE = 12 cm

The length of LE if AX = 15 cm

The length of XL and EA if XO = 5 cm and EO = 6 cm.

The 30th partial sum of the sequence 5x-12 = 1965

To derive the 30th partial sum of the sequence 5x -12, we need to add up to the first 30 terms of the sequence.

Th e nth term of the sequence will be:

5 -12

the first 30th terms are:

5(1) -12 = -7

5(2) -12 = -2

5(3) -12 = -3

5(4)  -12 = -8

and so on

So to get the 30th partial sum, we write:
-7 + (-2) = 3+ 8 ...... + (5(30)-12

If simplified, this expression will given us:

S = (n/2) (a+l)

In this case,

s is the sum of the n terms
A is the first term and
L is the last term.

In this ase, a = -7 (the first term) and L= 5(30) -12 = 138 (the 30th term) So  for the partial sum we say:

S30 = (30/2) (-7 + 138) = 30(131)/2
S30 = 1965

Thus, the partial sum of the sequence 5x-12) is 1965

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Answer:

7 + x + x= 7

Step-by-step explanation:

(7+8) + -8 = 7

A curvilinear relationship is one between two variables whereby the strength and/or direction of their relationship changes over the range of both variables.

A relationship of this kind between two variables is known as a "curvilinear relationship," and it has a pattern of correspondence or association between the two variables that changes as the variables' values change (increase or decrease).

Curvilinear interactions are more complicated since they have a distinct nature at various levels of the variables than linear relationships, which are easier to comprehend, explain, and statistically detect. Given the intricate, socially and culturally dependent phenomena that make up the subject of such research, curvilinear correlations can be seen frequently.

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