The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth. EXPLAIN WORK
First get the average passing yards:
(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4
Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,
(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2
For the others, you should get squared residuals of
6,658.56
1,797.76
3,069.16
14,018.6
Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:
(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3
The standard deviation is just the square root of the variance:
√(10,915.3) ≈ 104.48
Answer:
the answer is 3697.4
Step-by-step explanation:
I used a calculator
Tessellations
The image of the point (4,-3) under a reflection across the x-axis is _______?
a. (-4,3)
b. (-4,-3)
c. (3,4)
d. (4,3)
Please select the best answer from the choices provided
Answer:
D. (4,3)
Step-by-step explanation:
I calculated it logically
carina bought a spiral notebook that cost x dollars and a binder that cost 2.5 times a much as the notebook. her total cost was 4:20. how much did the spiral notebook cost?
write in decimal form 7+3/100+9/1000
Answer:
7.039
Step-by-step explanation:
7 + 3/100 + 9/1000
7 + 0.03 + 0.009
7.039
Answer:
7.039
Step-by-step explanation:
7 = 7
3/100 = .03
9/1000 = .009
therefore
7 + 3/100 + 9/1000 = 7 + .03 + .009
7.039
How many swimmers are there represented on this dot plot?
Answer:
424
Step-by-step explanation:
just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer
d = 4.4 mm.
Calculate the area of the circle
Answer:
15.1976 mm²
Step-by-step explanation:
A = πr²
A = 3.14 · 2.2²
A = 15.1976
25. A new app was downloaded 175 times in its first week Since then the number of downloads
increased by 16.5% each week. Use a continuous exponential growth model to approximate
the number of times the app was downloaded in 2 week
37
0/1
37
Answer:
238 times
Step-by-step explanation:
Given
[tex]a = 175[/tex] -- first week
[tex]r = 16.5\%[/tex]--- growth per week
[tex]t = 2[/tex] --- time
Required
The number of times it was downloaded in 2 weeks
An exponential growth is represented as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 175 * (1 + 16.5\%)^2[/tex]
[tex]y = 175 * (1.165)^2[/tex]
[tex]y = 175 * 1.357225[/tex]
[tex]y = 237.514375[/tex]
[tex]y = 238[/tex] -- approximated
An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
PLEASE HELP
A. 0
B. 2
C. -2
Answer:
B
Step-by-step explanation:
You can read this as "find g of f of 2"
Also written as g(f(2)).
What we're doing is is looking at the function f and getting the value when you input 2. f(2)
Since the function f is the curved one, you will find the coordinate where the input is 2. At input 2 or x=2, we get the value of 0.
Now back to g(f(2)) -- Because we have found the value of f when it is 2, we can replace this equation with:
g(0)
Now we find the value we get from g when we put 0 as the input. When 0 is our input, or when our x is 0, we see the point of g is (0,2) so our output is 2.
Express the following percentages
as Fractions:
20%
Step-by-step explanation:
hope it is helpful to you
Step-by-step explanation:
given:20%
solution,
20%
=20/100
=2/10
=1/5
Please solve this for me. I will mark you branliest if you gave me the best explanation to your answer.
For every $6 spent at a shop, the owner will donate $2 to charity. The
total amount of money donated to the charity was $56. What is the
least possible amount of money that was spent at the shop?
Answer:
$168
Step-by-step explanation:
Divide $56 by $2
$56 ÷ $2 = 28
Thus $2 was donated 28 times
He donated $2 every time $6 was spent, then
money spent = 28 × $6 = $168
Answer:
$168
Step-by-step explanation:
We have the following ratio
Spent at shop : donated to charity
6:2
we know that
x:56
To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)
6*28=168
In the school band, 5/8 of the students play a brass instrument. Only 1/5 of the students who play a brass instrument play the trumpet. What fraction of the band students play the trumpet?
Answer:
1/8
Step-by-step explanation:
5/8 * 1/5 = 1/8 or .125
What is the total surface area of this cube?
Answer:
54 (also include units squared as the picture isn't clear)
Step-by-step explanation:
3×3=9 (area of square =l×b)
9×6= 54cm² (since a cube has 6 faces)
what are the zeros of f(x)=(x-2)(3x+1)
[tex] 2,- \frac{1}{3} [/tex]
Answer:
( x-2) ( 3x+1)
3x^2 + x - 6x - 2
x( 3x + 1 ) -2( 3x + 1 )
( 3x + 1 ) ( x - 2 )
either
3x + 1 = 0
3x = -1
x = -1/3
or
x - 2 = 0
x = 2
( -1/3 , 2 )
Need help answering this question
Find the value of AB.
10
6
A
E
B
AB = [?]
Answer:
AB = 16
Step-by-step explanation:
The radius of the circle = 10
From the center of the circle to B = 10 (radius)
Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.
Thus:
EB² = 10² - 6²
EB² = 100 - 36
EB² = 64
EB = √64
EB = 8
EB = AE = 8
therefore,
AB = AE + EB = 8 + 8
AB = 16
Answer:ab=16
Step-by-step explanation:
Please HELP ASAP IN NEED IT I WILL GIVE YOU POINTS
Answer: c six less than twice is the same as two times a number minus six
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
"Twice a number" means a variable/mystery number times 2; aka 2x.
"Six less than" means minus/subtract six.
So, therefore it's 2x - 6.
BEEN ASKING FOR AN HOUR NOW!! the following two triangles are similar to each other. find the length of the missing side.
Answer: just multiply the same sides that same number and that add the answers all together
Step-by-step explanation:
Can someone please help me
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answer:
21
Step-by-step explanation:
28x3/4
1 km = ? cm
????? Pls help plsssssss
Answer:
1 km = 100000 cm
what is the vertex of -(x+2)^2-3
Answer:
(-2,-3)
Step-by-step explanation:
Find the measure of the angle HELP PLSSS URGENT!
Answer:
It is 40 degrees
Step-by-step explanation:
The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:
50+x=90
-50 -50
-------------
x=40
What is the solution to the equation below. Round your answer to two
decimal places
In x= -2
O A. X=-739
B. x=0.34
O C. X=-0.69
O D. x=0.14
Answer:
B. x = 0.14
Step-by-step explanation:
Inx = -2
x = e^(-2)
x = 0.135
x = 0.14 (to two d.p)
The solution of the equation ln x =-2 is 0.14
The correct option is (D)
What is logarithm?Logarithms are the inverse of exponents.
Given that:
ln x =-2
Shifting the log on the right side, it will become exponential
x = [tex]e^{-2}[/tex]
x = 0.135
x = 0.14 (two decimal places)
Learn more about logarithm here:
https://brainly.com/question/20785664
#SPJ2
which is greater? no links pls. 0.04 or -0.39? and -0.6 or 0.5?
Answer:
0.04 and 0.5
Step-by-step explanation:
Answer:
1. 0.04
2. 0.5
Step-by-step explanation:
The positive choice will be greater.
Write these numbers in ascending order
9.81 x 10^3
9.82 x 10^2
9812
Answer:
look at the picture i sent......
11/15 = w — 8/15 help me
Answer:
w=19/15
Step-by-step explanation:
11/15 = w - 8/15 |*15
11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15
Please help me this is important to my grade
Answer:
C. x = 6
Step-by-step explanation:
2*6 + 4 = 16
PLSSS ASAPP HELPP!!!!!!!!!Determine the perimeter of the rectangle shown below.
A)42
B)21
C)441
D) There is not info given to this question
E)None of these answers are correct
Answer:
42
Step-by-step explanation:
Add up all of the sides, dont bother with negatives and positives because that does not matter when finding area or perimeter on a coordinate plane