In the ocean, a whale is swimming at an elevation of −30 feet. A ray is swimming at an elevation of −12 feet. What is the difference between the elevations of the whale and the ray?

Answer:

C)

The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table

Answer:

C. Narrower and the margin of error would decrease

The required, option b (wider and the margin of error would increase) is the correct answer.

In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.

Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.

This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.

Therefore, option b (wider and the margin of error would increase) is the correct answer.

Learn more about the margin of error here:

https://brainly.com/question/29419047

#SPJ2

The correct answer is: To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition.

To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition. Your answer would be:

Individual outcome: {1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, ...

In each list, you roll the die until you get a 3, and you can repeat this process infinitely. The ellipsis indicates that this pattern continues indefinitely.

Learn more about individual outcome:

https://brainly.com/question/31388324

#SPJ11

Answer:

i think its 180 degrees.

Step-by-step explanation:

The Confidence Interval = (66.1476, 68.8524)

A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.

here, we have,

The formula for confidence interval of a normal distribution is given as:

Confidence Interval = μ ± z × σ/√n

Where:

μ is the mean height = 67.5

σ is the standard deviation = 2.1 inches

n is the number of samples = 16 bookcases

z = 99% confidence interval = 2.576

Confidence Interval = 67.5 ± 2.576 ×2.1√16

= 67.5 ± 2.576 × 2.1/4

Confidence Interval = 67.5 ± 1.3524

67.5 - 1.3524 = 68.8524

67.5 + 1.3524 = 66.1476

Therefore, the Confidence Interval = (66.1476, 68.8524)

To learn more about the confidence interval, visit:

brainly.com/question/17097944

#SPJ1

Answer:

slope = 0

eq of line: y = -1

Step-by-step explanation:

A line parallel to the x-axis is a horizontal line. The equation of a horizontal line is " y = anumber". Horizontal lines have 0 slope. The point given is (2,-1). In the point (2,-1) the y is -1. The equation of the horizontal line thru (2,-1) is

y = -1

The sample of 100 students is a simple random sample (SRS) of the population of all students, and it provides evidence about the proportion of students who completed their assigned homework last week.

The sample proportion of students who completed their assigned homework is calculated as the number of students in the sample who completed their homework divided by the total number of students in the sample.

If the sample proportion is less than 60%, then this is evidence that less than 60% of all students completed their assigned homework last week. However, it is important to keep in mind that the sample proportion is just an estimate of the population proportion, and it may not be exactly equal to the population proportion. The sample proportion can vary from sample to sample due to random sampling error.

To learn more about simple random sample click on,

https://brainly.com/question/30046418

#SPJ4

The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

Answer: -12.81% decrease

Step-by-step explanation:

1678-1463/1463 * 100 = -12.8128

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

To know more about Decimal Point related question visit:

https://brainly.com/question/28338004

#SPJ11

Answer:

1 1/15

Step-by-step explanation:

Thanks to leafdapple18

It appears that a Type II error was made in the hypothesis test conducted by the user.

A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.

According to the given information:

Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.

In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.

This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.

To know more about Type II errors visit:

https://brainly.com/question/24320889

#SPJ1

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

To learn more about Alpha visit:

https://brainly.com/question/14588341

#SPJ4

Answer:

3.14

Step-by-step explanation:

compare 3.4 to 3.111111111111111111...

4 is bigger than 1

3.14 is bigger than 3.1 repeating.

The number 3.1 repeating (or 3.1 with an infinite number of decimal places of 1) is equivalent to the mathematical concept of the number 3.1111..., where the digit 1 repeats indefinitely.

When comparing 3.14 and 3.1 repeating, we can consider the decimal places:

3.14 has a hundredth place digit of 4, which is greater than the repeating decimal of 3.1, where the hundredth place digit is 1.

Therefore, 3.14 is bigger than 3.1 repeating.

Learn more about Comparison here:

https://brainly.com/question/679161

#SPJ2

a) The value of R2 is (1,3).

b) The value of the discriminant D = 4.

c) There is no local maximum.

d) No saddle point.

e) The maximum value of f on R2 is 3.

f) The minimum value of f on R2 is also 3

In mathematics, a saddle point is a point on the surface of a function where there is a critical point in one direction, but a minimum or maximum point in another direction. In other words, it is a point on the surface of a function where the tangent plane in one direction is a minimum, and the tangent plane in another direction is a maximum.

(A) The partial derivatives of f(x,y) are:

fx = 2x - 2

fy = 2y - 6

Setting fx = 0 and fy = 0, we get:

2x - 2 = 0

2y - 6 = 0

Solving these equations, we get the critical point (1,3).

(E) To find the maximum value of f on R2, we need to compare the value of f at the critical point (1,3) with the values of f on the boundary of the region enclosed by R2. The boundary of R2 consists of three line segments:

The line segment from (0,0) to (3,3)

The line segment from (3,3) to (3,6)

The line segment from (3,6) to (0,0)

We can parametrize each line segment and substitute it into f to get its value along the boundary. Alternatively, we can use the fact that the maximum and minimum values of a continuous function on a closed, bounded region occur at critical points or at the boundary.

Since there is only one critical point and it is a local minimum, the maximum value of f on R2 occurs on the boundary. We can calculate the value of f at each vertex of the triangle:

f(0,0) = 3

f(3,3) = 3

f(3,6) = 3

The maximum value of f on R2 is 3.

(F) Similarly, the minimum value of f on R2 occurs on the boundary. Using the same calculations as above, we find that the minimum value of f on R2 is also 3.

To know more about local maxima visit:

brainly.com/question/29167373

#SPJ1

Answer:

The answer is D

Step-by-step explanation:

I just took the test three times and it was correct

Every element that belongs to the union of the sets also belongs to the intersection of the sets, and vice versa. Therefore, the union and the intersection of the sets are equivalent.

To prove that a1 ∪ a2 ∪ ... ∪ an = a1 ∩ a2 ∩ ... ∩ an, we need to show that every element that belongs to the union of the sets also belongs to the intersection of the sets, and vice versa.

First, let's consider an element x that belongs to the union of the sets, i.e., x ∈ (a1 ∪ a2 ∪ ... ∪ an). By definition, this means that x belongs to at least one of the sets a1, a2, ..., or an. Without loss of generality, let's assume that x belongs to the set a1. Therefore, x ∈ a1.

Now let's consider the intersection of the sets, i.e., x ∈ (a1 ∩ a2 ∩ ... ∩ an). By definition, this means that x belongs to all of the sets a1, a2, ..., and an. Since we have already established that x ∈ a1, it follows that x also belongs to the intersection of the sets.

Therefore, we have shown that if x belongs to the union of the sets, it also belongs to the intersection of the sets.

Next, let's consider an element y that belongs to the intersection of the sets, i.e., y ∈ (a1 ∩ a2 ∩ ... ∩ an). By definition, this means that y belongs to all of the sets a1, a2, ..., and an. Since y belongs to all of the sets, it follows that y must belong to at least one of the sets a1, a2, ..., or an.

Therefore, y ∈ (a1 ∪ a2 ∪ ... ∪ an).

Hence, we have shown that if y belongs to the intersection of the sets, it also belongs to the union of the sets.

In conclusion, we have proven that a1 ∪ a2 ∪ ... ∪ an = a1 ∩ a2 ∩ ... ∩ an.

This result holds for any number of sets, as long as n ≥ 2. It is a fundamental property of set theory and is known as the "duality of union and intersection."

Learn more about intersection at: brainly.com/question/12089275

#SPJ11

Answer:

Step-by-step explanation:

v=d/t, t=d/v, since t=t

1225/(v+w)=1100/(v-w)

1225v-1225w=1100v+1100w

2325w=125v

w=125v/2325, given v=575

w=125(575)/2325

w=30.91 mph

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

To know more about Angle Formula:

https://brainly.com/question/25716982

#SPJ4

We can describe the parts as product of 5 and variable x and subtraction of 3 from it from the concept of algebraic equation.

Here we use the concept of an algebraic equation, it is the equation in which there are constants, variables, and some products. It also applies mathematical operations like addition, multiplication, subtraction, and Division.

Now given equation is the 5x-3 so it implies

There is an unknown number x which is multiplied by 5 and then from the product of unknown 5 and x, three is subtracted.

So we can summarize it in a way that it is the difference between five times a number and three.

Hence this expression can be formulated as the difference of product of 5 and variable x  and constant number 3.

You can find more about algebraic equation : https://brainly.com/question/10646799

#SPJ9

To rewrite this expression using the function notation, we will have:

f (x) = -6x^3

To rewrite an expression using the function notation, we simply have to reorganize the expression in a way that f(x) can feature. For the provided mathematical expression above, this will mean replacing the figure y with the function notation. Thus, we will have:

f (x) = -6x^3

Let's say that we assign figure 2 to x, then the function will give us:

f (x) = -6(2)^3

f (x) = -6(8)

f (x) = -48

Learn more about function notation here:

https://brainly.com/question/27915724

#SPJ1

Answer:

\(A=5024\ cm^2\)

Step-by-step explanation:

Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of ​​land needed to make a pool is ??

The diameter of a circular pool, d = 80 cm

It means that,

Radius, r = d/2

r = 40 cm

We need to find the area of the land needed to make a pool. The area of a circular path is given by :

\(A=\pi r^2\)

Put the values in the above formula.

\(A=3.14\times (40)^2\\\\A=5024\ cm^2\)

So, it will require \(5024\ cm^2\) area of land to make a pool.

The greatest length of the green section based solely on the greatest Horizontal length is 6.4 feet.

The greatest horizontal length of the green section is 6.4 feet, we can assume that the green section is a rectangle or a segment of a larger shape.

the length is typically considered the longer side, while the width is the shorter side. Since the given information refers to the horizontal length as 6.4 feet, we can assume that the 6.4 feet represents the width of the green section.

The length of the green section, we need more information. If we assume that the green section is a rectangle, we can't determine its length without knowing the dimensions of the rectangle or the relationship between the length and width. the green section is part of a larger shape, such as a polygon or irregular shape, we would need additional details or a visual representation to accurately determine the greatest length.

the greatest length of the green section based solely on the provided information that the greatest horizontal length is 6.4 feet.

To know more about Horizontal length.

https://brainly.com/question/27390849

#SPJ11

Note the question be like :

A rectangular field has a length that is 3 times its width. If the perimeter of the field is 32 meters, what are the dimensions (length and width) of the field?

Answer:

x=45 and y=45

Step-by-step explanation:

It is given that two variables are the side lengths of the box symbol that indicates it is a right angle. Since a right angle equals 90 degrees, It is safe to say that the two side lengths that make up the right angle are half of 90.

Answer:

51 stamps

Step-by-step explanation:

since salman's amount is going from 5 to 45 its being multiplied by nine. to keep the ratio true, you need to multiply the other two numbers by 9 too. Nathan then has 12 stamps and Gordon has 63. 63-12=51

The Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ...

The Maclaurin series is a special case of the Taylor series, where the expansion is centered at x = 0. To find the Maclaurin series of the function f(x) = 1 + x^2 + cos(x), we need to compute the derivatives of the function and evaluate them at x = 0.

The first derivative of f(x) is f'(x) = 0 + 2x - sin(x), and evaluating it at x = 0 gives f'(0) = 0. The second derivative is f''(x) = 2 - cos(x), and f''(0) = 2. The third derivative is f'''(x) = sin(x), and f'''(0) = 0.

By plugging these values into the formula for the Maclaurin series, we get the series 2 + x + 3x^2 + ..., where each term represents the coefficient of the corresponding power of x.

Therefore, the Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ..., as provided in the options.

To learn more about Maclaurin series click here

brainly.com/question/31745715

#SPJ11

Answer:

0.95 Miles (mi) that's the answer

Answer:

Inequality Form:  x ≤ 1

Interval Notation:  (−∞, 1]

Step-by-step explanation:

24 ≤ 8 (7 − 4x)

Rewrite so x is on the left side of the inequality.

  8 (7 − 4x) ≥ 24

Divide each term by 8 and simplify.

Divide each term in 8 (7 − 4x) ≥ 24 by 8.

  8 (7 − 4x)/8   ≥      24/8

Cancel the common factor of 8.

  7 − 4x  ≥ 24/ 8

Divide 24 by 8.

  7 − 4x  ≥ 3

Move all terms not containing x to the right side of the inequality.

  −4x  ≥ −4

Divide each term by −4 and simplify.

  x ≤ 1

The result can be shown in multiple forms.

Inequality Form: x ≤ 1

Interval Notation: (−∞, 1]