Answer:
Final Answer 25.12
Step-by-step explanation:
This is very simple you can use two formulas to find the circumfrence of the circle. You can either use C=2πr or C=πd.
For this problem you will be using C=2πr since r is radius and the radius is 4.
C=2*3.14*4
C=6.28*4
C=25.12
Hope this helps.
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. Be subdivided a portion of his land into 10 separate but essentially equal plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertiz 1.150 0.1879 6.12 0.000
Required:
What is the equation of the least squares regression line from this sample?
Answer:
The equation of line is
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
Step-by-step explanation:
The general equation of line is given as
[tex]y=mx+b[/tex]
where
y is the dependent variable which is yield in this case.
x is the independent variable which is fertilizer in this case
m is the coefficient of the fertilizer whose value is 1.150 from the given values.
b is the constant whole value is 10.100 from the given values.
Thus the equation becomes.
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
You wonder what is the average number of credits Le Moyne students take per semester. You speak with the Le Moyne registrar, and they tell you that Le Moyne students take an average of 17 credits per semester with a population standard deviation of 2.5 credits. We plan to take a sample of 49 students and ask each student how many credits they plan to take. Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits. What does the CLT say about the distribution of the sample mean of 49 students
Answer:
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.
This means that [tex]\mu = 17, \sigma = 2.5[/tex]
What does the CLT say about the distribution of the sample mean of 49 students?
It is approximately normal.
The mean is 17.
Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Which is an equivalent way to express 3y
Answer:
3 f(x)
Step-by-step explanation:
this is very open-ended, (6y)/2 is equal to 3y
HOW DO YOU FIND THE ARC OF A CIRCLE????
Answer:
1. Multiply the area by 2 and divide the result by the central angle in radians.
2. Find the square root of this division.
3. Multiply this root by the central angle again to get the arc length.
Step-by-step explanation:
the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi
Answer:
157 in
Step-by-step explanation:
2x3.14x25 = 157 in
There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.
Answer:
I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31
Step-by-step explanation:
If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31
So therefore 31 of the pencils are colored. Hope this helps!
The max Fuel capacity a spaceship should have is 500. The minimum is 200. The ship you are designing is rated at 75% of range. How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship?
Answer:
Part 1: 375 Fuel Capacity
Part 2: 450 Fuel Capacity
Step-by-step explanation:
Find the percentage of each number with a calculator
375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450.
Given that,
The max Fuel capacity a spaceship should have is 500.
The required 375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450 determine,
How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship.
According to the question,
The max Fuel capacity a spaceship should have is 500.
The ship you are designing is rated at 75% of range.
Full capacity is equals to max fuel capacity multiply by ship designing rate of range.
Therefore,
Fuel capacity = 500 × 0.75 = 375
And If the change in max fuel capacity to 600,
New fuel capacity is equals to new max fuel capacity multiply by ship designing rate of range.
Then.
New fuel capacity = 600 × 0.75 = 450
Hence, The required 375 fuel capacity does it have.
When decide to change the max to 600 new fuel capacity of the ship is 450.
To know more about Probability click the link given below.
https://brainly.com/question/12431044
what is the following product?
square root of 30 times the square root of 10
Step-by-step explanation:
That 'd be the square root of 300, which is equivalent to 10sqrt(3).
Consider the following function y=5/3x+2
Answer:
y-2=5/3x
y-2/5=3x
Step-by-step explanation:
Helppppppppppppppppppppp
Calculate the Volume
Pls help
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?
Answer:
x = 14 /3
Step-by-step explanation:
Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56
The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?
Answer:
5%
Step-by-step explanation:
36.10 + 1.90 = 38
1.9 / 38 = 0.05
0.05 x 100 = 5
Find the measure of arc DHG
Answer:
128
Step-by-step explanation:
PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST
At 3:30 p.m., you have 15 megabytes of a movie. At 3:45 p.m., you have 75 megabytes. What is the download rate in megabytes per minute?
plzzz help for brianly
Answer:
Add up the area of all the sides
Step-by-step explanation:
Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.
Hope this helps! :)
A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
much profit present does he make on selling all the pencil boxes?
5%
7%
10%
12%
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
Does this limit exist? Show steps
Answer:
Yes, the limit does exist.
Step-by-step explanation:
By definition, a limit in the form:
[tex]\displaystyle \lim_{x\to a}f(x)[/tex]
Exists if and only if:
[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]
We are given the limit:
[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
So, in order to prove that this limit exists, we simply have to show that:
[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]
Let's do the left-hand side first. We can factor the function:
[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]
By direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Now, we can evaluate the right-hand side. Again, factor:
[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]
And by direct substitution:
[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]
Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.
How do you solve this
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
The measure of the inscribed angle is half the measure of the intercepted arc.
9x -25 = 94/2
9x = 72 . . . . . . . add 25
x = 8 . . . . . . . . . divide by 9
todd can ride 45 miles in 5 hours. write an equation to find m, the number of miles Todd can ride in h hours
5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?
Answer:
10
Step-by-step explanation:
Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.
How many distinguishable permutations are there for the word SCIENCE?
Answer:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
Step-by-step explanation:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
Find d using a trigonometric ratio(no links I can’t click them)
Answer: 38 is your answer hope this helped
plz make brainly
Step-by-step explanation:
SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!
Answer:
x = 5, y = 5
Step-by-step explanation:
The scale changes from 8 to x+y
to find the change in scale, use the bottom values.
2 + 3 = 5 | 1 + 3 = 4
5/4 = 1.25 (the scale)
8 * 1.25 = 10
x+y = 10
There are 2 possibilities for this, but I feel like it is possibility #1
1. x = 5, y = 5
2. x = 4, y = 6
Find the value of y. geometry!!
Answer:
y = 54
Step-by-step explanation:
Once again we are going to use the inscribed angle and intercepted arc relationship where the inscribed angle is equal to half of the measure of the intercepted arc.
Angle "y" is the inscribed angle and its intercepted arc has a measure of 108°
So y = one half of 108
[tex]\frac{108}{2} =54[/tex]
So we can conclude that y = 54
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
You deposited 750 in an account that pays 5% interest compounded quarterly. How many years do you have two wait until it becomes at least ten times as much? Round answer to the nearest whole year.
A. 47
B. 46
C. 45
D. 48
( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9. What is the value of p + q + r + s ?
p(r + s) = 5 and q(r + s) = 3.
by simply addind those two equations.
p(r + s) + q(r + s) = 5 + 3
(p + q) (r + s) = 8 Statement #2: (p + q) = (r + s)
(p+q)×(r+s)=(p+q)×(p+q)=(p+q
it's been said it's not allowed us to arrive at a specific numerical value. The statementby itself inadequate.
The rectangle below is show with dimensions in inches
Answer:21/64
Step-by-step explanation:
Do 3*7 to get 21
And 8*8 to get 64.
To multiply fractions you multiply the denominators together and then the numerators together
Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes? 4 1 H1 H H 2 H2 H2 3. H3 H3 H4 4. O T T 1 11 T1 2 T2 T2 3 T3 T3 T4 1 4 H T 2 T2 T2 3 H3 H3 H1 4 0 T 1 T1 H1 2 T2 H2 3 T3 H3 H4
Answer:
The bottom table.
Step-by-step explanation:
It's the only one that shows options for heads and tails for every number.
Answer:
D the last one