Fred is constructing a 95% confidence interval to estimate the average length (in minutes) of movies he watches. His random sample of 15 movies averaged 114 minutes long with a standard deviation of 11 minutes. What critical value and standard error of the mean should he use?

Answer:

Iran

Step-by-step explanation:

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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Answer:

An explicit rule for the nth term of the sequence will be:

\(a_n=-4\cdot \:2^{n-1}\)      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

\(-4, -8, -16, -32, ...\)

A geometric sequence has a constant ratio r and is defined by

\(a_n=a_0\cdot r^{n-1}\)

Computing the ratios of all the adjacent terms

\(\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2\)

As the ratio 'r' is the same.

so

\(r=2\)

as

\(a_1=-4\)

Hence, the nth term of the sequence will be:

\(a_n=a_0\cdot r^{n-1}\)

substituting the values \(r=2\) and \(a_1=-4\)

\(a_n=-4\cdot \:2^{n-1}\)      

Therefore, an explicit rule for the nth term of the sequence will be:

\(a_n=-4\cdot \:2^{n-1}\)      

Thus, option (A) is true.

Answer: \((x+3)^{2} +(y+15)^{2}=260\)

Step-by-step explanation:

The centre is (-3,-15), so we can say the equation of circle is \((x+3)^{2} +(y+15)^{2}=r^{2}\). put (5,-1) at this equation.

then, we can know \(r^{2}=260\).

∴ \((x+3)^{2} +(y+15)^{2}=260\)

(1) There are 2b+1 integer solutions to the equation x-a=b. (2) and (2) There are 2b-1 integer solutions to the equation x-a = b.

Integers include 0 as well as positive and negative numbers that are indicated by minus signs. An equivalent positive number's additive reciprocal is a negative number. In mathematical notation, a group of integers is typically denoted by a bold Z or a bold "mathbb Z." An integer is a number that can be positive, negative, or zero and is not a fraction (pronounced IN-tuh-jer). An example of an integer is the number -5, 1, 5, 8, 97, and 3,043 Non-integer examples are 1.43, 1. 3/4, 3.14, and other numbers. A group of integers and their antipodes are known as integers. The set of integers excludes decimals and fractions.

given

This type of absolute value difficulty can be resolved by interpreting the expression x-a = b as indicating that the difference between x and an is at most b. Therefore, x is only 9 away from 68 if x-68 = 9. 68-9 = 59; 68+9 = 77. (77-59)+1 = 19 is the total number of integers from 59 to 77, inclusive.

A) Using the same meaning, x must be closer to -4 by no more than 8 than usual. -4-8 = -12; -4+8 = 4. The integer solutions range from -11 to 3 inclusive, or 15 numbers, because this is a rigorous inequality.

B) This one indicates that x is only three values away from five, ranging from three to seven.

(1) There are 2b+1 integer solutions to the equation x-a=b. (2) and (2) There are 2b-1 integer solutions to the equation x-a = b.

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Answer:

3a. 7.2

3b. 0.9

4a. 7.2

4b. 2.4

5a. 104

5b. 260

hope this helps, everything in bold is the correct answer,

have an awesome day, -TJ

Answer:

3.a. 36

b. 4.5

4.a. 7.2

b. 2.4

5.a. 104

b. 260

Step-by-step explanation:

100/20 = 5

18 x 5 = 90 (100%)

18 x 2 = 36

18/4 = 4.5

14.4/2 = 7.2

7.2/3 = 2.4

52 x 2 = 104 (100%)

(195/3) 4 = 65 x 4

65 x 4 = 260 (100%)

The typical margin of error in a sample survey of 1,500 respondents is about 2.5 to 3 percent.

Most surveys provide a margin of error or a confidence interval of some type to quantify the level of accuracy. The margin of error, often represented as a percentage, depicts the range in which the real survey results can fluctuate.

The size of the sample and the degree of variability in the population are the two most crucial elements that influence the margin of error in a survey. It's generally agreed that the bigger the sample size, the lower the margin of error, and the more precise the findings. The margin of error shrinks as the sample size grows. When a sample survey includes 1,500 respondents, the typical margin of error would be around 2.5 to 3 percent.

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The total amount of ice cream in cups is 32 cups (2 gallons of chocolate ice cream is equal to 32 cups, and 2 quarts of vanilla ice cream is equal to 8 cups). Since there are 16 half-cups in one cup, the total amount of ice cream can make 512 half-cup servings.

To find the answer, we first need to convert the given measurements to cups. Two gallons of ice cream is equal to 8 quarts, and since 1 quart is equal to 4 cups, then two gallons of ice cream is equal to 32 cups. Two quarts of vanilla ice cream is equal to 8 cups. Thus, the total amount of ice cream is 32 + 8 = 40 cups.

Since we want to know the number of half-cup servings, we need to multiply the total cups by 2 (since there are 2 half-cups in one cup) to get the total number of half-cup servings. Thus, the answer is 40 x 2 x 2 = 160 half-cup servings. Therefore, there are 160 half-cup servings of ice cream that can be served at the party.

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Based on the dotplots, it can be concluded that the number of snacks grabbed for class A has less variability than the number of snacks grabbed for class B.

The dotplots show the number of snacks grabbed by students in two statistic classes. To determine the variability of the number of snacks grabbed in each class, we can analyze the spread of the data displayed in the dotplots.

In class A, with 32 students, the dotplot shows a relatively narrow spread of data. The dots are concentrated in a smaller range, indicating less variability in the number of snacks grabbed by the students. This suggests that the students in class A have a similar behavior when it comes to grabbing snacks with one hand.

In class B, with 34 students, the dotplot displays a wider spread of data. The dots are more scattered and distributed over a larger range, indicating higher variability in the number of snacks grabbed by the students. This suggests that the students in class B have a wider range of behaviors when it comes to grabbing snacks with one hand, with some students grabbing more snacks and others grabbing fewer snacks.

Overall, based on the dotplots, we can conclude that the number of snacks grabbed for class A has less variability compared to the number of snacks grabbed for class B.

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Answer:

14 - (x^2 - 7x + 3)(x - 1)

→14 - (x^3 - 7x^2 + 3x -x^2 + 7x -3)

→x^3 - 8x^2 + 10x +11

please mark this answer as brainlist

Answer:

6x-1 is x=-1

5x+7 is x=7

Step-by-step explanation:

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

At most, Jermain can purchase 2 lbs. of pears.

Step-by-step explanation:

Jermaine can buy 2.58 pounds (approx.) of pears.

We have - Jermaine has $10 to spend at the farmers market and wants to purchase $3.89 lb of pears.

We have to determine about how many pounds of pears can Jermaine purchase.

You can buy a maximum number of -  \(\frac{10}{2}\) = 5 chocolates.

According to the question, we have -

Amount of money with Jermaine = $10

Cost of pears = $3.89 per lb.

Therefore, the amount of pears Jermaine can buy is equal to -  \($\frac{10}{3.89}\) = 2.58 pounds of pears.

Hence, Jermaine can buy 2.58 pounds (approx.) of pears.

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The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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In right triangle ABC, mzA = 30° and mzB = 90°. I and III of the following are true.

A triangle is a three-sided, two-dimensional shape that is found in nature, architecture, engineering, mathematics, and art. It is one of the most basic and fundamental shapes, making it the foundation for more complex shapes and structures. The three sides of a triangle are straight lines connected by three points, with each angle being less than 180 degrees. A triangle is classified by its side lengths and angle measurements, where the side lengths are the length of each side and the angle measurements are the angles between each side. The three most common types of triangles are equilateral, isosceles, and scalene. Equilateral triangles have three sides of equal length and all three angles are equal, while isosceles triangles have two sides of equal length and two equal angles.

Using the basic trigonometric ratios, sin(A) = cos(C) and cos(A) = sin(C). Since mzA = 30°, sin(A) = 1/2 and cos(A) = √3/2. Since mzB = 90°, sin(C) = √3/2 and cos(C) = 1/2. Therefore, I. sin(A) = sin(C) and III. cos(A) = cos(C) are true.

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Answer:

The answer that you're looking for is x = 3

Step-by-step explanation:

You start with the equation:

76x-11=72x+1

You then want to separate the variables and constants so you do the inverse of positive 72 which is to subtract 72x from each side.

(76x-72x)-11=(72x-72x)+1
4x-11=1

After that, you add the inverse of -11 which is adding 11 to both sides to leave 4x by itself.

4x(-11+11)=(1+11)
4x=12

You then finally divide 4 by both sides giving you x = 3 as the final answer.

4x/4=12/4
x = 3

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).

Answer:

AT&T charges $70.00 a month plus $10 per gig of data. Sprunt charges $80.00 a month plus $5 per gig of data. Which equation could be used to determine when the two cell phone plans will be equal?

Step-by-step explanation:

AT&T's plan would be less expensive than the Sprunts because they have different charges a month

Hope this helps

the series is convergent from x = -1 (left end) to x = 1 (right end).

To find the interval of convergence for the power series ∑n=1 to infinity of \(n^{(1/3)} * x^n\), we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Mathematically, the ratio test can be expressed as:

lim┬(n→∞)⁡〖|(\(a_{(n+1)}/a_n)\)|〗 < 1

Let's apply the ratio test to the given series:

\(a_n = n^{(1/3)} * x^n\)

\(a_{(n+1)} = (n+1)^{(1/3)} * x^{(n+1)}\)

Taking the ratio of consecutive terms:

|a_(n+1)/a_n| = |((n+1)^(1/3) * x^(n+1)) / (n^(1/3) * x^n)|

Simplifying the expression:

\(|a_{(n+1)}/a_n| = |(n+1)^{(1/3)} * x / n^{(1/3)}|\)

Taking the limit as n approaches infinity:

lim┬(n→∞)⁡〖\(|(a_{(n+1)}/a_n)\)|〗 = lim┬(n→∞)⁡〖|\((n+1)^{(1/3)} * x / n^{(1/3)}|\)〗

Using the properties of limits, we can simplify the expression further:

lim┬(n→∞)⁡〖|(a_(n+1)/a_n)|〗 = lim┬(n→∞)⁡〖\(|(1 + 1/n)^{(1/3)} * x|\)〗

= 1 * |x|

= |x|

We know that |x| < 1 for convergence. Therefore, the interval of convergence for the given power series is -1 < x < 1.

To determine the left endpoint of the interval of convergence, we substitute x = -1 into the series:

∑n=1 to infinity of \(n^{(1/3)} * (-1)^n\)

This is an alternating series. When n is odd, the terms of the series will be positive, and when n is even, the terms will be negative. The series converges by the Alternating Series Test.

the left endpoint of the interval of convergence is x = -1.

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Answer:

1. D) Both b) and c)

2. B) Cosine Law

3. B) Find the measures of angles and sides that we can't physically measure.

Step-by-step explanation:

1. To solve non-right triangles we use Sine Law and Cosine Law.

2. If 3 sides lengths were given and you were asked to find an angle, you would use the Cosine Law.

3.Trigonometry is used in real life to find the measures of angles and sides that we can't physically measure.

Answer:

b - 7

Step-by-step explanation:

Difference means to subtract.

Whatever comes after "difference of" must stay in that order.

 Ex: difference of 7 and b would look like 7 - b.

Answer:

2

Step-by-step explanation:

5/1 *2/5 =10/5=2

Answer:

The correct answer is 2.

Step-by-step explanation:

To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.

5/1 x 2/5 =

10/5 =

2

Therefore, the correct answer is 2.

Hope this helps! :D

Given:

The midpoint of overline AB is M(0, - 7) .

The coordinates of A are (- 2, - 6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get

\(M=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)\)

\((0,-7)=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)\)

On comparing both sides, we get

\(\dfrac{-2+a}{2}=0\)

\(-2+a=0\)

\(a=2\)

And,

\(\dfrac{-6+b}{2}=-7\)

\(-6+b=-14\)

\(b=-14+6\)

\(b=-8\)

Therefore, the coordinates of point B are (2,-8).

Let's use the variable 'm' to represent the number of magazines sold.

If they make 1.25 per magazine sold, the total revenue is the product of the unitary value of one magazine by the number of magazines sold:

The costs are the values of 100 and 150, so we have:

Finally, the profit they want to have is at least 3000, so:

If the profit is calculated by the revenue minus the cost, we have that:

Answer:

$0

Step-by-step explanation:

I hope this helps!

Answer:

she can spend no more than 64, and if this is incorrect, do 63

Step-by-step explanation: