an infinity value is generated for an operation whose result is less than the smallest numeric value. T/F?

Answer:

See below for answers

Step-by-step explanation:

y=5(2)ˣ

y=5(2)⁻²=5(1/2²)=5(1/4)=5/4

y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2

y=5(2)⁰=5(1)=5

y=5(2)¹=5(2)=10

y=5(2)²=5(4)=20

The answer to the given fill in the blanks is "Residual". in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the Residual come from a normal distribution.

In linear regression, we make several assumptions about the relationship between the predictor variable and the response variable. One of these assumptions is that the residuals (the differences between the predicted values and the actual values) follow a normal distribution with a mean of zero and constant variance. To check this assumption, we can create a normal quantile plot of the residuals. A normal quantile plot is a graphical method that compares the distribution of the residuals to a normal distribution. If the residuals are normally distributed, the plot should follow a straight line. If the plot deviates from a straight line, it suggests that the residuals are not normally distributed. A non-normal distribution of residuals can have several implications, such as indicating the presence of outliers or influencing the accuracy of the model’s prediction. Therefore, checking for normality of residuals is a crucial step in evaluating the model's assumptions and determining whether the model is appropriate for the data.

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

Step-by-step explanation:

The formula for the area of a square is the length of the side squared or

s².    So to find the side take the square root of 54.  \(\sqrt{54}\) which is √9 · 6 = 3√6.

So each side is 3√6.

Perimeter is 4 times the side or 3√6 × 4.

= 12√6

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

the second, and fourth one's are triangles, and the 1st and 2nd are not

Step-by-step explanation:

We know that the angles in a triangle add up to 180 degrees. So we need to find which angles add up to 180 degrees. We have:

56+34+42=132

That means the first one can't be a measures of a triangle.

75+55+50=180

Second one is a triangle.

35+32+23=90

Third isn't a triangle

124+64+16=180

So all in all, the second, and fourth one's are triangles, and the 1st and 2nd are not

1/2πx2

The area of a circle is defined by πr2, and given the diameter, we must also multiply it to pi and square the value only after getting half of the value x.

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

According to the question, srs is a simple random sample whose size consists of individuals from the population and chosen in such a way that every set of individuals has an equal chance to be sampled.

What is Stratified random samples?

For stratified random samples, initially classify the population into the groups of similar individuals which is called as “strata”. Later choose simple random samples and combine them to form a full sample.

As per question, srs of \(200\) of the \(25000\) undergraduate students and the srs of \(100\) of the \(500\) graduate students. This overall sample is a stratified sample.

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Answer:

C. \(12x^2 +28x\)

Step-by-step explanation:

Using the distributive property,

\(4x(3x+7)=4x(3x)+4x(7)=12x^2+28x\)

The domain is the set with the first values of each pair, the range is the set with the second value of each pair.

A relation maps elements from a set, the domain, into another set, the range.

Such thar a relation is represented by pairs (a, b), where it means that the element a is being mapped into the element b. (So, a is in the domain, and b in the range)

In this case, our relation is represented by:

{(-3, 2), (-2, 1), (-1,0), (0, -1)}

The domain is the set with the first values of each pair, the range is the set with the second value of each pair.

So the correct option is A.

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The required points (x ,y ) for the curve x = 6t² + 5 , y = t³ -7  has slope 1/2  are ( 29,1).

Slope of the tangent line to the curve = dy/dx

dy/dx = ( dy / dt ) × ( dt / dx )  __(1)

y = t³ -7

⇒ dy /dt = 3t²

x = 6t² + 5

⇒ dx / dt = 12t

Now substitute the value of dy/dt and dx/dt in (1) we get,

dy / dx = 3t² / 12t

⇒ dy /dx = t /4

Slope (dy /dx ) = 1 /2

⇒ t /4 = 1 /2

⇒ t = 2

Point ( x , y ) = ( 6(2)² + 5 , 2³ -7 )

                    = ( 29, 1 )

Therefore, the points (x ,y ) for the curve with tangent line to the curve has slope 1/2 is equal to ( 29, 1) .

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The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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Answer:

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Step-by-step explanation:

what...wjjwkwkwkwkkwkw

Answer:

29. A 30. C 31. C

Step-by-step explanation:

2/5+1/4+1/6=49/60

60-49=11 >>> 11/60

176/2pi = 28.0

3.89 - hundredths place but not so sure because if you round you get 3.90 so either D or C

Step-by-step explanation:

I also don't know anymore I'll leave my comment to give your post an up

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

not a function because it doesn't pass the vertical line test

Step-by-step explanation:

even though they have different y coordinates they still don't pass the test

The diameter, in inches, of a circle with a circumference of 84.78 inches is equal to 27 inches.

In order to calculate the diameter of any circle, you should use the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = πD

Where:

By making diameter (D) the subject of formula, we have the following:

D = C/π

Note: The value of pie (π) is equal to 3.14.

Substituting the given parameters into the formula, we have the following;

Diameter (D) = 84.78/3.14

Diameter (D) = 27 inches.

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The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

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If cosine of x degrees equals three-fifths, the value of b is 7.

What is cosine ?

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The most common trigonometric functions are sine, cosine, and tangent. The reciprocal functions are cosecant, secant, and cotangent.

In this case, we are given that cos(x) = 3/5. From this, we can use the inverse cosine function (arccos) to find the value of x in degrees. However, this alone is not enough to determine the value of b.

In the given triangle LNM, we know that angle M measures 90 degrees and angle L measures x degrees. We also know that side LM measures 3b units and LN measures 20 units.

Using the Pythagorean theorem, we know that the length of MN, which is the hypotenuse, can be found by:

MN^2 = LM^2 + LN^2

We also know that

cos(x) = LM / MN

Therefore, we have:

3/5 = (3b) / (sqrt(3b^2 + 20^2))

b = 7

So , If cosine of x degrees equals three-fifths, the value of b is 7.

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The calculated chi-squared value is [calculated value]. Since the calculated chi-squared value is [greater than/less than/equal to] the tabled chi-squared value of 9.488, we can [reject/fail to reject] the null hypothesis.

To determine whether the number of customers varies by day of the week, we can conduct a chi-squared test. The null hypothesis states that the number of customers coming into the shop is equal for each weekday, while the alternate hypothesis suggests that the number of customers differs by day. To perform the test, we need to calculate the chi-squared value.

First, we calculate the expected frequency for each day by taking the average of the total number of customers over the entire week. For this given week, the expected frequency would be the sum of all the customers (50 + 60 + 40 + 47 + 53) divided by 5, resulting in 50 customers per day. Next, we calculate the chi-squared value by summing up the squared differences between the observed and expected frequencies, divided by the expected frequency for each day. Once we have the calculated chi-squared value, we compare it with the tabled chi-squared value at a given significance level (5%) and degrees of freedom (4). If the calculated chi-squared value is greater than the tabled value (9.488), we can reject the null hypothesis. Conversely, if the calculated chi-squared value is less than or equal to the tabled value, we fail to reject the null hypothesis. By applying the appropriate calculations and comparing the calculated chi-squared value with the tabled chi-squared value, we can determine whether the number of customers actually varies by day of the week.

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The conclusions are discussed below:

An angle with its vertex at the center of a circle and with sides that are radii of the circle.

If a small replica of the Ferris wheel is constructed, it would still be a circle, and would have 32 compartments.

To find the central angle, it would be 360/32 for the original wheel.

The same applies to the replica. The central angles of both are the same, but the arc length is different.

To find the arc length of a circle, you will do 2πr(x)/360.

The arc length of the original wheel will be greater than the arc length of the replica. This is because the radius of the 2 wheels will be different.

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In addition to state, federal, and private financing, Mercyhurst awards scholarships to incoming students based on academic distinction, financial need, and athletic and artistic achievement.

The majority of new freshmen and transfer students are eligible for the following funding opportunities:

A funding opportunity refers to a provision that is made available by either:

Sufficient funding of education by various educational stakeholders is a crucial step in decreasing the burden of education costs on parents and students.

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Answer:

The simplified answer to the given equation is 6√2

Step-by-step explanation:

First, we must simplify the radicals in the equation.

√2 = 1.414213562

∛2 = 1.25992105

Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.

√2 ÷ ∛2 = 1.122462048

Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.

6√2 = 1.22462048

So, our answer here is answer choice B.

Answer:

It should be 28

Step-by-step explanation:

2+2=28

we have P_{2n+1}(x) = 6x + 36x^3 + 64.8x^5.

To find the Taylor polynomial P_{2n+1}(x) centered at x=0 for the function f(x) = sinh(6x), we need to compute the derivatives of f and evaluate them at x=0.

The derivatives of f(x) = sinh(6x) are f'(x) = 6cosh(6x), f''(x) = 36sinh(6x), f'''(x) = 216cosh(6x), f^(4)(x) = 1296sinh(6x), and f^(5)(x) = 7776cosh(6x).

Evaluating these erivatives dat x=0, we get f(0) = 0, f'(0) = 6, f''(0) = 0, f'''(0) = 216, f^(4)(0) = 0, and f^(5)(0) = 7776.

Using the Taylor polynomial formula P_{2n+1}(x) = f(0) + f'(0)x + (f''(0))/(2!)x^2 + (f'''(0))/(3!)x^3 + (f^(4)(0))/(4!)x^4 + (f^(5)(0))/(5!)x^5, we can substitute these values to obtain the Taylor polynomial:

P_{2n+1}(x) = 0 + 6x + (0)/(2!)x^2 + (216)/(3!)x^3 + (0)/(4!)x^4 + (7776)/(5!)x^5

Simplifying, we have P_{2n+1}(x) = 6x + 36x^3 + 64.8x^5.

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