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
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
increases her rate by 2 yards per minute. Plot two ordered pairs showing the distances she will fly at 1
minutes and 2 minutes, respectively, at her new rate.
Sometimes she may move backwards.
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]y =2x[/tex]
[tex]R =+2[/tex] --- increment in the rate
First, we need to model the new rate
A linear equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
Compare [tex]y =2x[/tex] and [tex]y = mx + b[/tex]. we have:
[tex]m =2[/tex]
The above represents the previous rate.
The new rate:
[tex]R =+2[/tex]
Rewrite as:
[tex]R = m+2[/tex]
[tex]R = 2+2[/tex]
[tex]R = 4[/tex]
So, the model is:
[tex]y = Rx[/tex]
[tex]y = 4x[/tex]
The plot at 1 and 2 minutes
When [tex]x = 1[/tex]
[tex]y = 4x = 4 * 1 = 4[/tex]
When [tex]x = 2[/tex]
[tex]y = 4x = 4 * 2 = 8[/tex]
So, we have:
[tex](x_1,y_1) =(1,4)[/tex]
[tex](x_2,y_2) =(2,8)[/tex]
Whether she moves backwards or forward, the distance covered remains the same
See attachment for plot
picture included-11 points
Answer:
Using the Pythagoras theorem, we have:
[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]
with a = 5, b = 6, we have:
[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]
What growth factor would be needed to provide 1/12th of 12% interest each month
1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
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Question 11 of 20: Select the best answer for the question. 11.
Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570
Answer: $29500
Step-by-step explanation:
Given the information from the question, the net income will be calculated as:
Net sales = Gross profit - sales returns and allowances
= $50000 - $6,000
= $44000
Gross profit = Net sales - Cost of goods sold
= $44000 - $10000
= $34000
Net income = Gross profit - Operating expense
= $34000 - $4500
= $29500
1 +1
Deedederffetfrerggrrrggtrrttt
Answer:
11 or 2, it depends on how you think abt it
Answer:
2
Deedederffetfrerggrrrggtrrttt
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch). After the game the mean inflation was 12.5 psi.
Select the null hypothesis H0.
Group of answer choices
0=13
0=12.5
0<13
0>12.5
Answer:
The null hypothesis is [tex]H_0: \mu = 13[/tex]
Step-by-step explanation:
Before a high-school football game the footballs were inflated to p = 13 psi (pounds per square inch).
This means that, as we are going to test the inflation levels before and after the game, we test at the null hypothesis that it is of 13 psi, that is:
[tex]H_0: \mu = 13[/tex]
Helppppoppppppppp!!!!!
Answer:
x=64
Step-by-step explanation:
[tex]x^{2} =A\\x^{2} = 4,096[/tex]
Answer:
Hello! answer: 64
Step-by-step explanation:
Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!
Write an equation and solve:
Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.
Answer:
Step-by-step explanation:
10x + 34 = 144
10x = 110
x = 11 weeks
Find the values of m and n.
Answer:
[tex]m=46^{\circ},\\n=22^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:
[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]
Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:
[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]
Answer:
M = 46°
N = 22°
Step-by-step explanation:
Value of M:
Sum of angles in triangle = 180°
180° - 90° - (180° - 136°) = m
90° - 44° = m
m = 46°
Value of N:
The triangle is isosceles (marked by the two congruent lines with the tick)
That means that the other two angles, are the same
180° - 136° = 2n
44° = 2n
n = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need the answer. Pls∝∝∝∝
Answer: it is going to be (B)
Answer:
C.256
Step-by-step explanation:
2(lb+bh+hl) = SA
length = 12
width = 4
Height = 5
2( 48+60+20)
128 x 2 = 256
What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.
6
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth
Answer:
5. 4186.67 in³
6. 1436.03 ft³
7. 3052.08 cm³
Step-by-step explanation:
5. Determination of the volume of the sphere.
Radius (r) = 10 in
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 10³
V = 4/3 × 3.14 × 1000
V = 4186.67 in³
6. Determination of the volume of the sphere.
Radius (r) = 7 ft
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 7³
V = 4/3 × 3.14 × 343
V = 1436.03 ft³
7. Determination of the volume of the sphere.
We'll begin by calculating the radius. This can be obtained as follow:
Diameter (d) = 18 cm
Radius (r) =?
r = d/2
r = 18/2
r = 9 cm
Finally, we shall determine the volume of the sphere. This can be obtained as follow:
Radius (r) = 9 cm
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 9³
V = 4/3 × 3.14 × 729
V = 3052.08 cm³
PLEASE HELP WILL MARK BRAINLIEST
please i really need help with this
Cynthia is mowing lawns for extra money. The amount of money she made after putting gas in the lawnmower is shown below.
Cynthia's Mowing
Money Made in Dollars 37 77 117 157
Number of Lawns 2 4 6 8
A.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
B.
The amount of money Cynthia made is the 35 more than the number of lawns she mowed.
C.
The amount of money Cynthia made is the 35 less than the number of lawns she mowed.
D.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 plus 3.
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
Evaluate each limit given that limit x->2 f(x)=9.
limit x->2 1/3[f(x)]^2= 27✔️
limit x->2 3f(x)+5= 32✔️
limit x->2 [f(x)]3/2= 27✔️
Answer:
27
32
27
Step-by-step explanation:
1) limit x->2 1/3[f(x)]^2= 27
2) limit x->2 3f(x)+5= 32
3) limit x->2 [f(x)]3/2= 27/2
What is limit?"A limit is the value that a function approaches as the input approaches some value."
Limit properties:If limit f(x) = m and constant 'a',
limit a (f(x)) = a × m
limit (f(x))^n = (m)^n
limit (a) = a
limit (f(x) + a) = m + a
Given: limit x->2 f(x)=9.
We need to evaluate each limit.
1) limit x->2 1/3[f(x)]^2
⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]
= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]
= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]
= [tex]\frac{1}{3} \times (9)^2[/tex]
= [tex]\frac{81}{3}[/tex]
= 27
2) limit x->2 3f(x)+5
⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]
= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]
= [tex]3\lim_{x \to 2} f(x) + 5[/tex]
= [tex](3 \times 9)+5[/tex]
=[tex]\bold{32}[/tex]
3) limit x->2 [f(x)]3/2
⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]
= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]
= [tex]\frac{3}{2} \times 9[/tex]
= 27/2
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A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?
Answer:
scale = 1 in: 5 ft
= 1inch x 5 5/8 = 5.625
5 ft x 5 5/8 28.125 ft
The actual height of the house is 28.125 ft
Pls help me with math
Answer:
true
Step-by-step explanation:
They are dependent because the outcome of the event affects them
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169
Answer:
169 Pounds
Step-by-step explanation:
...
2(x+4)-6 = 2(x-8)+1
plz show work because if I don't have it then I can't pass
Answer:
no solution
Step-by-step explanation:
Given
2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides
2x + 8 - 6 = 2x - 16 + 1
2x + 2 = 2x - 15 ( subtract 2 from both sides )
2x = 2x - 17 ( subtract 2x from both sides )
0 = - 17 ← not possible
This indicates the equation has no solution
help me please. thank you if you do
Answer:
B
Step-by-step explanation:
Can someone answer this please l
Answer:
Step-by-step explanation:
(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)
5a + 18 + 48 - a + 8a - 30 = 180
12a + 36 = 180
12a = 180 - 36
a = 144/12
a = 12
therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.
Therefore, the size of the smallest angle is 36 degree
24427 correct to the nearest 1000
Answer:
24427 correct to the nearest 1000? 24000.
Step-by-step explanation:
So 24000 is your answer.
Find the area of the figure shown below and choose the appropriate result.
Answer:
B 14 cm
Step-by-step explanation:
First, rectangle equation formula is w x l which means 4 x 2 = 8 then triangle formula is b x h which base is 4 and height is 3 which gets 6. So 8 + 6 = 14.
what is the equivlalent expression of 10 plus 10 plus 10
Answer:
10 + 10 + 10 = 10 x 3
= 30
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
Complementary and supplementary angles
Help PLZZ NO FILES PLZZZ
Answer:
B
Step-by-step explanation:
C is 31, so we add a negative to make it the opposite.
If x= 4, calculate the value of: 3x2 + 4x
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64what is the x in x/5 +1 = 7