Suppose you know σ and you want an 85% confidence level. What value would you use as z in formula of confidence interval for a population mean? (Round your answer to 2 decimal places.) Value of z

Answer:

The sailboat and speedboat meet at x=3.

Step-by-step explanation:

Assuming your first equation is \(-x^{2} +2x+8\) (you missed the square).

\(-x^{2} +2x+8=-x+8\\x^{2} -3x=0\\x(x-3)=0\\x=0\\x=3\\\)

Given:

The x values are 1, 3, 5, 7, 9, 16.

The y values are 20, 14, 10, 6, 4.

The objective is to find the slope value and y intercept.

The general equation of a straight line is,

Here, m represents the slope of the line and b represents the y intercept.

Consider two coordinates from the table as,

The value of slope can be calculated as,

Answer:

$9.60

Step-by-step explanation:

This is a tricky question because it uses different units.

Let's first convert everything to one unit to make things simpler

1 cup = 16 tablespoons

1/2 cup = 8 tablespoons

Each lemon yields 2 tablespoons of juice

Each lemon pie requires 1/2 cup of juice = 8 tablespoons of juice

4 lemon pies will require 4 x  8 = 32 tablespoons of juice

To get 32 tablespoons at 2 tablespoons per lemon we will require 32/2 = 16 lemons

16 lemons at $0.60 per lemon will cost 16 x 0.60 = $9.60 ANS

The three consecutive odd numbers are 11, 13, and 15.

Odd numbers are numbers when divided by 2 produces a remainder. This numbers cannot be divided exactly into pairs. example are 3, 5, 7, 9, 11 etc.

The odd integers are consecutive. Therefore, the odd numbers can be represented as follows:

The sum of the first and the second is equal to nine more than the third.​ Therefore,

2x + 2 = x + 13

2x - x = 13 - 2

x = 11

Therefore, the consecutive odd numbers are as follows:

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Answers

y = 14x-37

b/c The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

y=-16x-12 + 30x-25 ,when simplify it

add -16x & 30x and add-12 & -25,so the answer will be

y=14x+37

Therefore, the correct system of equations that models this situation is:

a = 1.5d

a = d + 4

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, numbers, and mathematical symbols such as + (addition), - (subtraction), * (multiplication), / (division), and = (equal). Equations are used to solve problems and find unknown values of variables by manipulating the expressions on both sides of the equation. For example, the equation "x + 5 = 9" shows that the sum of x and 5 is equal to 9. By subtracting 5 from both sides of the equation, we can solve for x and find that x = 4.

by the question.

Let's start by setting up two equations, one for each piece of information given in the problem:

1.5d = a (Ashanti has been acting for 1.5 times as long as Diana has)

a = d + 4 (Ashanti has been acting for 4 years longer than Diana has)

We can then simplify the second equation by substituting the first equation for a:

1.5d = d + 4

Now we can solve for d:

0.5d = 4

d = 8

We can then use the first equation to solve for a:

a = 1.5d = 1.5(8) = 12

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Answer:

R

The radius is the height from the bottom to the top.

Answer:

sorry dont know

Step-by-step explanation:

Answer:

yessadadasdadada

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

He scored \(168-147=21\) points in the playoff game.

This is equal to \(\frac{21}{168}(100)=12.5\%\).

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

Answer:

x=-20

Step-by-step explanation: since 9 is being added, subtract it from both sides so x=-20 that was easy :>

479040 in the international system of number names is Four Hundred and Seventy-nine Thousand and Forty.

So,  479040 in words:

Therefore, 479040 in the international system of number names is Four Hundred and Seventy-nine Thousand and Forty.

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The correct description that defines the prism square is option B: "Is another hand instrument that is also used to determine or set out right angles."

A prism square is a tool used in construction and woodworking to establish or verify right angles. It consists of a triangular-shaped body with a 90-degree angle and two perpendicular sides. The edges of the prism square are straight and typically have measurement markings. It is commonly used in carpentry, masonry, and other trades where precise right angles are essential for accurate and square construction. Option A describes a different tool involving mirrors set at an angle, which is not related to the prism square. Option C refers to a different instrument used for measuring slopes and is not directly related to the prism square.

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Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

If a merchant bought an item for $50.00 and sold it for 30% more (markup), the item's selling price was $65.00.

The markup is the percentage or amount by which an item is sold.

The markup is based on the cost price.  After adding the markup amount, the selling price is determined to generate some profits for the seller.

The purchase price of an item = $50.00

The markup = 30%

Markup factor = 1.3 (1 + 0.3)

The selling price of the item = $65.00 ($50.00 x 1.3)

Thus, for adding 30% more (markup) on the cost of the item, the selling price is determined as $65.00.

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Answer:

1/2

Step-by-step explanation:

Answer:

1/2 i think

Step-by-step explanation:

hope this helps :))

Answer: ddddd

Step-by-step explanation:

Answer:

That would be the origin, (0,0).

Please let me know if I'm incorrect!

Answer:

the ordered pair you see is (0,0) or the origin

Answer:

6+2

Step-by-step explanation:

\(6 - ( - 2)\)

Distribute the negative in.

Negative Multiply Negative must equal Positive.

\(6 + 2\)

Therefore, the state-space model is given by: x'1 = x2 x'2 = -14x1 - 4x2 - 7Ku y = (1 0) x

The transfer function is given as g(s)= (s + 7)/(s^2 + 7s + 12).

To find the state-space model, we can start by writing down the general state-space equations for a system of this form:

x' = Ax + Bu y = Cx + Du

where x is the state vector, u is the input vector, y is the output vector, A, B, C, and D are the system matrices that depend on the coefficients of the transfer function.  

Firstly, we can find the poles and zeros of the transfer function using the quadratic formula.

s^2 + 7s + 12 = 0 (s + 4)(s + 3) = 0

Poles are at s = -4 and s = -3.

Zeros are at s = -7.

Now we can write the transfer function in the following form: g(s) = K(s + 7)/(s + 4)(s + 3) where K is the gain factor.

Next, we can write the state-space model in the following form: x' = Ax + Bu y = Cx + Du where x is the state vector, u is the input vector, y is the output vector, A, B, C, and D are the system matrices.

Let's define the state vector x as follows: x1 = x x2 = x'

We can write the state equations in the following form: x'1 = x2 x'2

= -(7 + 4 + 3)x1 - (4 x2) + K(-7)u

The input-output equation can be written as follows: y = (1 0) x where the output is the first element of the state vector. Therefore, the state-space model is given by: x'1 = x2 x'2 = -14x1 - 4x2 - 7Ku y = (1 0) x

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Answer:

2^-6 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{1}{64}\)

=\(\frac{1}{2^6}\)

according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.

=\(2^{-6}\)

Explanation:

AD = 15, DB = 12, AE = 10, and EC = 8

To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf

The grape juice does Sarah use for each cup of water is 3/8 cup .

Given :

Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water .

Let x be the grape juice use for each cup of water .

From the given statements :

1 / 4 cup of grape juice = 2 / 3 cup of water

x cup of grape juice = 1 cup of water

1 / 4 / x = 2 / 3 / 1

cross multiplication

1 / 4 * 1 = 2 / 3 * x

1 / 4 = 2x / 3

2x * 4 = 3 * 1

8x = 3

x = 3/8 cup

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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hard to tell but from 0.75 to 1

Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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Answer:

500 kilowatt-hours.

Step-by-step explanation:

Let k = number of kilowatt-hours.

\(0.15k+30=105\\0.15k=75\\k=500\)

Therefore, Dalton used 500 kilowatt-hours of electricity.

Answer:

LCM = 840

Explanation:

First, we need to find the prime factorization of every number. So 14, 21, and 40 are equal to the product of the following prime number:

14 = 2 x 7

21 = 3 x 7

40 = 2 x 2 x 2 x 5

Now, we need to identify all the prime numbers and the maximum number of times that every prime appears. So, the prime numbers are:

2 = Appears maximum 3 times

3 = Appears 1 time

5 = Appears 1 time

7 = Appears maximum 1 time

So, the LCM is the multiplication of the prime numbers as:

LCM = 2 x 2 x 2 x 3 x 5 x 7

LCM = 840

Therefore, the LCM is 840