Question 1 (Essay Worth 10 points)



(01. 01 MC)




Part A: A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate? (5 points)




Part B: Give an example of an undefined term and how it relates to a circle. (5 points)

The answer is \(0.5544135^{\circ}$\)

given data

\({mean}(\mu)=185^{}$ \\Variance $\left(\sigma^{2}\right)=244$\)

\(\begin{aligned}&\sigma=\sqrt{244} \\&\sigma=15.6205\end{aligned}\)

\(\frac{P(x < 184)}{p(x < 203)}\)

\(\Rightarrow \frac{p\left(\frac{x-\mu}{\sigma} < \frac{184-185}{15.6205}\right)}{P\left(\frac{x-\mu}{\sigma} < \frac{203-185}{15.6205}\right)}\)

\(\Rightarrow \frac{P(z < -0.064)}{P(z < 1,1523)}\) (From z table)

\($\Rightarrow \frac{p(z < -0.06)}{p(z < 1.15)}$\)

\($\Rightarrow \quad \frac{0.47608}{0.87493}$\)

\($\Rightarrow 0.5544135^{\circ}$\)

\(=0.5544135^{\circ}$\)

What is analogue signal ?

So the more about analogue signal visit.

https://brainly.com/question/943681

#SPJ4

Answer:

Step-by-step explanation:

You need to talk in English

Answer:

There are six possible outcomes when rolling a die, and three of them are prime numbers (2, 3, and 5). Therefore, the probability of rolling a prime number on a single die is 3/6, or 1/2.

The probability of rolling a 5 on the red die is 1/6, since there is only one face with a 5 out of the six faces.

To find the probability that the red die lands on a 5 and the blue die lands on a prime number, we need to multiply the probabilities of these two events occurring:

P(red die lands on 5 AND blue die lands on prime number) = P(red die lands on 5) x P(blue die lands on prime number)

P(red die lands on 5 AND blue die lands on prime number) = (1/6) x (1/2)

P(red die lands on 5 AND blue die lands on prime number) = 1/12

Therefore, the probability that the red die lands on a 5 and the blue die lands on a prime number is 1/12 or approximately 0.083 or 8.3%.

Answer:

(4x + 3)²

Step-by-step explanation:

Given

16x² + 24x + 9

This is a perfect square of the form

(ax + b)² = a²x² + 2abx + b²

Compare coefficients to 16x² + 24x + 9, that is

a² = 16 ⇒ a = \(\sqrt{16}\) = 4

b² = 9 ⇒ b = \(\sqrt{9}\) = 3

and 2ab = 2 × 4 × 3 = 24

Thus

16x² + 24x + 9 = (4x + 3)²

Answer: (1, 5)

Step-by-step explanation:

Hope this helps! :)

Answer:

Step-by-step explanation:

0.29 as a fraction is 29/100. Anytime you have a decimal, just turn it into a whole number and simplify it. However, 29/100 is already in its simplest form.

Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

Answer:

what's the question?

Step-by-step explanation:

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Answer:

If I make x the scope of mix and y the quarts of water, my equation would be y = .125x

I can find the constant Proportionally by y/x

Using points (4,.5) and (12,1.5)

(.5/4) = 0.125

(1.5/12) = 0.125

The equation would then be:

y = 0.125x

C see the graph equipped by Desmos (a free graphing calculator).  as x Increases by 1, y increases by 0.125

y = 0.125x

y =.0125(20)

y = 2.5

For 20 scoops, I would need 2.5 quarts of water

You can also see from the graph as 8 scoops, I would need 1 quart of water

Step-by-step explanation:

Hope this helps!

The relative atomic mass of Interactium is 290.14 amu.


We can calculate the relative atomic mass of Interactium using the following equation:

Ar = (Ab × Mb) + (Ac × Mc) + (Ad × Md) where Ar is the relative atomic mass, Ab is the abundance of Interactium-284, Mb is the mass of Interactium-284, Ac is the abundance of Interactium-289, Mc is the mass of Interactium-289, Ad is the abundance of Interactium-294, and Md is the mass of Interactium-294.  

Substituting the given values in the equation, we get:

Ar = (0.16 × 284) + (0.27 × 289) + (0.57 × 294)
Ar = 45.44 + 77.97 + 167.43
Ar = 290.14 amu

Therefore, the relative atomic mass of Interactium is 290.14 amu.

Learn more about atomic mass here:

https://brainly.com/question/29117302

#SPJ11

Answer:

6a) i- 2hrs 36mins  ii- 3hrs 12mins

b) car A≈ 76.9km/h  car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km  car B=60km

c) 30km

d) car A≈36mins  car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

Thus L.H.S = R.H.S that is \(\frac{2}{\sqrt{3} cosx + sinx }\)  = \(sec(\frac{\pi }{6-x} )\) is proved

According to the question we have been given that

\(\frac{2}{\sqrt{3} cosx + sinx }\)  = \(sec(\frac{\pi }{6-x} )\)

And we need to prove that left hand side is equal to the right hand side.

To prove this we will solve the right-hand side of the equation first with the help of trigonometry identity. The right hand side of the equation is :

R.H.S = \(sec(\frac{\pi }{6-x} )\)

          = \(\frac{1}{cos(\frac{\pi }{6-x} )}\)

[As secƟ = 1/cosƟ)

           = \(\frac{1}{\frac{cos\pi }{6cosx} + \frac{sin\pi }{6sinx} }\)

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

                   \(=\frac{1}{\frac{\sqrt{3} }{2}cosx + \frac{1}{2}sinx } \\= \frac{1}{\frac{\sqrt{3}cosx + sinx }{2} }\\=\frac{2}{\sqrt{3}cosx + sinx}\)          

    R.H.S = L.H.S

or L.H.S = R.H.S

Hence \(\frac{2}{\sqrt{3} cosx + sinx } = sec(\frac{\pi }{6-x})\) is proved

Learn more about trigonometry here : https://brainly.com/question/7331447

#SPJ9

Answer:

y=-3x+8

Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 3.2\%\to \frac{3.2}{100}\dotfill &0.032\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (500)(0.032)(1) \implies I = 16\)

A confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.

To determine if a variable confounds an association, follow these steps:

1. Identify the exposure, outcome, and potential confounding variable: Determine which variables are your exposure (independent variable), outcome (dependent variable), and the potential confounding variable.

2. Assess the relationship: Evaluate if the potential confounding variable is associated with both the exposure and the outcome. If it is, it could be a confounder.

3. Control for the confounding variable: Adjust your statistical analysis to account for the potential confounding variable, either by stratification or using multivariable regression techniques.

4. Compare the results: Analyze the strength and direction of the association between the exposure and outcome before and after controlling for the confounding variable. If the association changes significantly, it's likely that the variable is a confounder.

Remember that a confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.

Know more about confounding variable here,

https://brainly.com/question/30765416

#SPJ11

The multifactor productivity for this operation, in fees generated per dollar of input, is approximately 1.89.

To calculate the multifactor productivity, we need to determine the fees generated per dollar of input. The input consists of labor costs (employee wages), material costs, and overhead costs.

Given data:

Number of employees: 3

Hours worked per week per employee: 40

Pay rate per hour per employee: $20

Potential leads identified per employee per week: 3,200

Total potential leads: 5,200

Percentage of leads signing up: 7%

One-time fee per sign-up: $70

Material costs per week: $1,100

Overhead costs per week: $10,000

Let's calculate the fees generated and the total input costs:

Fees Generated:

Total potential leads = 5,200

Percentage of leads signing up = 7% = 0.07

Number of sign-ups = 5,200 * 0.07 = 364

Fees Generated = Number of sign-ups * One-time fee per sign-up = 364 * $70 = $25,480

Total Input Costs:

Labor Costs = Number of employees * Hours worked per week per employee * Pay rate per hour per employee

= 3 * 40 * $20 = $2,400

Material Costs = $1,100

Overhead Costs = $10,000

Total Input Costs = Labor Costs + Material Costs + Overhead Costs

= $2,400 + $1,100 + $10,000 = $13,500

Now, we can calculate the multifactor productivity:

Multifactor Productivity = Fees Generated / Total Input Costs

= $25,480 / $13,500

≈ 1.89 (rounded to 2 decimal places)

Therefore, In terms of fees produced per dollar of input, this operation's multifactor productivity is roughly 1.89.

learn more about productivity from given link

https://brainly.com/question/2992817

#SPJ11

Answer:

The y-intercept is where the line crosses the y-axis on the graph also where x=0. In this situation the y-value is however much money the waterpark will make depending on how many adult tickets sold.

The equatiom formed will be =g(x)=0.2(x+3)^{2}-5.

According to our question-

It is the graph of  vertically compressed, and then translated 5 units down and 3 units to the left.

The parent function is:

First, it is multiplied by 0.2,which is a number less than 1, meaning it was vertically compressed.

Then, , which means that the function was shifted 3 units to the left.

Then, 5 was subtracted, which means that the function was shifted 5 units down.

learn more about equations click here:

brainly.com/question/25976025

#SPJ1

Answer:

the answer is none of the above

Step-by-step explanation:

Answer:

Step-by-step explanation:

boody boody

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

Learn more about domains at:

https://brainly.com/question/1770447

#SPJ1

Answer: \(cot(x)\)

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

\(secant=\frac{1}{sine}\)

Therefore, rewriting the intial equation, you get:

\(sec(x)cos(x)=\frac{cos(x)}{sin(x)}\)

This might seem random, but you should know that tangent is defined as:

\(tangent=\frac{sine}{cosine}\)

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

\(\frac{cos(x)}{sin(x)}=cot(x)\)

Answer:

  Total Area = 110 m²

Step-by-step explanation:

To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).

Name: triangle

Formula: A = 1/2bh

Values: b = 15 m -5 m = 10 m; h = 4 m

Area = 1/2(10 m)(4 m) = 20 m²

__

Name: rectangle

Formula: A = bh

Values: b = 15 m; h = 6 m

Area = (15 m)(6 m) = 90 m²

__

Total area = Shape 1 area + Shape 2 area

Total area = (20 m²) +(90 m²) = 110 m²

Step-by-step explanation:

5x = 35 divide both sides of the equation by 5

5x / 5 = 35 / 5

x=7

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

The percentage of adult spiders that have carapace lengths exceeding a certain value is equal to the area under the standard normal curve that lies to the right of that value.

This is because the normal distribution is symmetric around its mean, and the area to the right of a certain value represents the proportion of data points that are greater than that value. Therefore, by calculating the area under the standard normal curve to the right of a certain value, we can determine the percentage of adult spiders with carapace lengths exceeding that value.

Know more about standard normal curve here:

https://brainly.com/question/31391220

#SPJ11

The required number of cups of sugar for 1 dozen of cookies is 3 cups.

Given that,
A recipe calls for 2 1/4 cups of sugar for 1 1/2 dozen cookies. What amount of sugar is needed for one dozen cookies? is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For
2 1/4 cups   = 9 / 2 cups
number of cookies = 3/2 dozen
For.
1 dozen cookies = 9 / 2 / [ 3 / 2] = 3 cups of sugar

Thus, the required number of cups of sugar for 1 dozen of cookies is 3 cups.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer:

The indifference point is 140 minutes.

Step-by-step explanation:

Giving the following information:

Plan A costs $ 25 plus an additional $0.10 for each minute of calls.

Plan B costs $18 plus an additional $0.15 for each minute of calls.

First, we need to establish the total cost formula for each plan:

Plan A= 25 + 0.1*x

Plan B= 18 + 0.15*x

x= number of minutes

Now, to calculate the indifference point, we equal both formulas and isolate x:

25 + 0.1x = 18 + 0.15x

7 = 0.05x

140=x

The indifference point is 140 minutes.

Prove:

Plan A= 25 + 0.1*140= $39

Plan B= 18 + 0.15*140= $39