You are estimating the cost of optical sensors based on the resolution of the sensor. You decide to calculate the coefficient of determination (R2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R2 and determine its meaning.
Summation of (Yi - Ybar)2 = 147172
Summation of (Yhat - Ybar)2 = 130542
Summation of (Y - Yhat)2 = 16630
a. 88.70% of the variation in the cost is being explained by the resolution.
b. 88.70% of the variation in the resolution is being explained by the cost.
c. 11.30% of the variation in the resolution is being explained by the cost.
d. 11.30% of the variation in the cost is being explained by the resolution.

Answer:

x = 3

Step-by-step explanation:

The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x

(2+3+1+1+3+2+4+6+2+x)/10 = 3

(24 + x)/10 = 3

24 + x = 30

x = 6

To check if this is correct, add up all the numbers and divide by 10.

2+3+1+1+3+2+4+6+2+6 = 30/10 = 3

Answer:

Step-by-step explanation:

To solve this problem, we need to use the formula for calculating the mean or average of a set of data, which is:mean = sum of all values / number of valuesLet's first find the mean of John's hits in the 10 games he played this year:mean = (2+3+0+1+3+2+4+0+2+3) / 10 = 2.0So, John's mean hits per game in the 10 games he played this year is 2.0.To increase his mean by 0.5 in the first 10 games he plays next year, John needs to achieve a mean of 2.5 hits per game. Let's call the total number of hits John needs to achieve this mean "x".To find "x", we can use the formula for calculating the mean again:2.5 = (total number of hits in the next 10 games + total number of hits in the previous 10 games) / 20Multiplying both sides by 20, we get:total number of hits in the next 10 games + total number of hits in the previous 10 games = 50Substituting the total number of hits in the previous 10 games with the sum of all hits John had in those games, we get:total number of hits in the next 10 games + (2+3+0+1+3+2+4+0+2+3) = 50Simplifying this equation, we get:total number of hits in the next 10 games = 50 - 20 = 30Therefore, John needs to achieve a total of 30 hits in the first 10 games he plays next year to increase his mean hits per game by 0.5. So, the answer is (3) 20.

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

Answer:

i think its 125

Step-by-step explanation:

since 5^7 = 78,125 and 5^4 = 625

then it would be 78,125

                           ----------  = 125

                             625

sorry if im wrong ;-;

Answer:

34.1x

Step-by-step explanation:

Each hour adds 34.1 more earnings. 4 x 34.1 = 136.4. 16 x 34.1 = 545.6 and so on and so forth.

Answer:

The cost per hour is 34.1

Step-by-step explanation:

136.40/4=34.1

545.60/16=34.1

716.10/21=34.1

the proportional is 34.1 in the earnings and time in an hour.

Answer:

c. 2

Step-by-step explanation:

the Y- intercept is 2 because it says +2

Answer:

D Market

Step-by-step explanation:

the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market

Answer:

Step-by-step explanation:

The answer is 'command'.

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:

Answer:

Angles 1 and 8 because they are vertically aline

Answer:

Angles 1 and 8

Step-by-step explanation:

i took the test

Answer:

Ella went on 27 rides.

Step-by-step explanation:

$17.50 - $4 = $13.50

Answer:

2,3,4

Step-by-step explanation:

hope this helps=D

Answer:

B,C,D

Step-by-step explanation:

Answer: 3.6791719e+46

Step-by-step explanation :

3.35 * 10 = 33.5 ^25

molecules per litre = 33.5 ^ 25

2.4 * 10 = 24 ^ 7 = 4,586,471,424  ( we'll assume this is ml as the question doesn't specify ) so thats 4,586,471,424ml discharged every second which is 4,586,471 litres per second. 4,586,471 * 60 seconds in a minute = 275,188,260 litres discharged every minute.

molecules per litre is 33.5 ^ 25 and litres discharged per minute is 275,188,260  

so the answer would be : 275,188,260  *  33.5 ^ 25 = 3.6791719e+46 (in other words a big number)

Check yourself ^

Answer:

$18,000

Step-by-step explanation:

Step 1.

Figure out how much it costs to hire one security personal for a month

2×20×15

=600

$600 per person per month

Step 2.

Multiply that number by the no. of people needed to be hired

600×30

=18000

∴ The security labor cost for a four-week month is $18,000

Answer:

10

Step-by-step explanation:

[tex]\sqrt{(-6-0)^2+(8-0)^2} =10.[/tex]

Answer:

true.

false

true.

false.

Step-by-step explanation:

1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.

2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.

3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.

4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.

-y = 3(-x)³ + 6    now lets see what happens it we let x = 2

For the original equation:   y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30

Now we try the test equation:  -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18

                                               So   -y = -18

                                                So    y = 18

The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.

Thus, the origin is not a point of symmetry. False.

I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.

The Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.

Given the function [tex]f(x)=3x^3 + 6[/tex]

Domain and range are the value of input and output that the function exists.

For the given function, the domain and range exist on all real numbers.

Domain  = (-∞, ∞) and Range = (-∞, ∞)

The y-intercept occur at (x) = 0

g(0)= 3(0)^3 + 6

g(0) = 6

Hence the Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.

Learn more on range and domain here: https://brainly.com/question/2264373

Answer:

B: 74.75

Step-by-step explanation:

If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75

Answer:

0.7667 = 76.67% probability that at least 2 graduates have a summer job

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.

This means that [tex]p = 0.4[/tex]

6 graduates.

This means that [tex]n = 6[/tex]

What is the probability that at least 2 graduates have a summer job

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]

[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]

0.7667 = 76.67% probability that at least 2 graduates have a summer job

Answer: -12

Step-by-step explanation:

if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit

Answer:

-12 degrees

Step-by-step explanation:

Fahrenheit and Celsius

10 degree fahrenheit

What is the celsius?

____________________

Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.

Answer:

There are 14 outcomes in the sample space.

x= { x/x ∈ b, where b≠0 }

Step-by-step explanation:

The tree diagram is as follows

                                                                                                   Sample Space

Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos              5

     ║                   ║→→→→→→→→→→2 destination→→→→→→→→→4 condos       4

     ║

     ║

     ║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo         1

                                    ║→→→→→→→→→→2 destination→→→→→ 1condo         1

                                     ║→→→→→→→→→→ 3destination→→→→→ 3 condos     3

Part a:

There are 14 outcomes in the sample space .

5+4+1+1+3= 14

Part b:

Margo picks a beach destination in set notation is

x= { x/x ∈ b, where b≠0 }

x such that x belongs to b ( beach destination) and b is not equal to zero.

Answer:

128

explanation:

cross multiply whereby 8*-112

it gives u -896 which u divide by -7 to get value of m as 128

hope it helps

Answer:

B. 4:1

Step-by-step explanation:

Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.

Answer:

a. volumetric glassware

b. Graduated glassware

c. volumetric glassware

Step-by-step explanation:

The graduated glassware and the volumetric glassware is the factory  calibrated used to deliver such as the graduated cylinders and pipettes and it contains the volumetric flask of a known amount of the liquid.

A volumetric glassware is a type of the laboratory flask and a graduated glassware is mostly of the cylinder shape and is also known as the measuring cylinder.

In the context,

a). The volumetric glassware is used in the applications where much accuracy is needed to perform the experiment.

b). Graduated glassware is used for measuring a wide range of volume of the liquid used in the laboratory,

c). The volumetric glassware is used to measure one specific amount of the volume of the liquid to be used.

Answer:

0.137

Step-by-step explanation:

The computation is shown below:

Educated = 0.27

And, unemployed to educated is 0.043

Now probability of educated and unemployed is

= 0.043 × 0.27

= 0.1161

So, the educated would be

= 0.01161 ÷ 0.085

= 0.137

Answer:

7

Step-by-step explanation:

→ First find the hypotenuse of length 2 and 3

√2² + 3² = √13

→ Use it to find the length of d

√6² + (√13)² = 7

Answer:

18x+8

Step-by-step explanation:

distribute

2 x 9x = 18x

2 x 4 = 8

Hope This Helps!!

Answer:

No, it is not a right triangle.

Step-by-step explanation:

A right triangle will follow the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, or the longest side. In this case, it is 9.

That means a and b are 7 and 8.

Now let's plug in the values to see if they simplify correctly.

(7)² + (8)² = (9)²

Simplify the exponents.

49 + 64 = 81

Add the left side.

113 = 81

The above expression is not true; therefore, this triangle is not a right triangle.