What is the population standard deviation?
{5,8,8,5}
Enter your answer as a decimal, rounded to the nearest tenth, like this: 4.2.
Answers
5, 8, 8, 5 has a population standard deviation of 3
Given,
The population is
{5, 8, 8, 5}
The population's mean is calculated as follows:
Sum of terms / Number of terms
Calculate the values and then replace them in the equation.
Sum equals 5 + 8 + 8 + 5 = 26
Number of terms = 4
The population's average is 26 / 4 = 6.5
The population's variance is equal to (5 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (5 - 6.5)²
= (-1.5) (-1.5)² + (1.5) (1.5)² + 1.5² + (-1.5) (-1.5)²
= 2.25 + 2.25 + 2.25 + 2.25
= 9
The population's standard deviation is equal to
= 3
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Related Questions
Help help help please in a hurry!!!!!!!!!!!!!!!!!!!
Answers
Answer:D
Step-by-step explanation:
please mark brainliest
When the smaller is deducted from twice the larger, the result is 59. What are the numbers?
Answers
Workings please......
Answers
Answer:
21.142
Step-by-step explanation:
not sure it's correct
Same set up as the problem to the left. Fill in the blanks.
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The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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Where is the function increasing
X Y
-3 -5
-2 -4
-1 0
0 1
1 2
2 1
3 0
Answers
Answer:
-2
Step-by-step explanation:
make the numbers from 1 to 20 using the numbers 1 9 8 4
Answers
Answer:
9-1+8+4
Step-by-step explanation:
9-1=8
use that 8 and add the other 8 to make 16
now add the 4. 16+4=20
Answer:
1, 4, 8, 9, 11, 14, 18, 19
Identify the percent, amount, and base in this problem.
What percent of 80 is 40?
Answers
Answer:
50Step-by-step explanation:
40: 80x100 =100 =(40x100): 80 =100): 80 =4000: 80 = 50The percentage of the number 80 is 40 will be 50%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The percentage is given as,
P = [(80 - 40) / 80] x 100
P = (40 / 80) x 100
P = 0.50 x 100
P = 50%
The percentage of the number 80 is 40 will be 50%.
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84 ÷ (17 × 3 - 23) × 4
Answers
Answer: 12
Step-by-step explanation:
Which term is like to 2x ?
Answers
Answer:
7x
Step-by-step explanation:
⬆️
Answer ;)
A^3+B^3= What is the solution?
Answers
the solution is A^3+B^3 there is no other answer
Solve for x.
Enter the solutions from least to greatest.
(-5x + 4)(x – 3) = 0
Answers
Answer:
x = 4/5, and x = 3
Step-by-step explanation:
set both parts of the equation equal to 0
-5x+4 =0
-5x= -4
divide by -5
x= 4/5
x-3 = 0
x=3
HELP WITH C
5mph buffer what is the new function and graph?
Answers
The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The coordinate points from the graph are (10, 550) and (30, 200).
Here, slope = (200-550)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get
550=-17.5(10)+c
c=550+175
c=725
So, the equation is y= -17.5x+725
Thus, f(n)= -17.5n+725
a) The fine at every speed should go up by $10.
So, the coordinates are (10, 560) and (30, 210)
New slope (m)= (210-560)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get
560=-17.5(10)+c
c=550+175
c=735
So, the equation is y= -17.5x+735
Thus, f(n)= -17.5n+735
b) The fine at every speed should be doubled in construction zones.
So, the coordinates are (20, 550) and (60, 200)
New slope (m)= (200-550)(60-20)
= -350/40
= -8.75
Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get
550=-8.75(10)+c
c=550+87.5
c=637.5
So, the equation is y= -8.75x+637.5
Thus, f(n)= -8.75n+637.5
Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
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Please help I’m timed thank you!!!
Answers
Evaluate C(8,2)
thank u!!!!
Answers
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use:
nCr = n! / r! * (n - r)!
here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
56/2
28
So, 8C2 = 28
67. A projectile is fired from a height of 4.5 meters above the ground of a level surface at an initial upwardsvelocity of 30 meters per second. Its height above level ground is given by the equation h=-4.91^2 + 30t + 4.5. After how many seconds, t, will the ball hit the ground. Find using the quadratic formula and round to the nearest tenth of a second.
Answers
We have an equation h(t) describing the height of the projectile:
\(h(t)=-4.9t^2+30t+4.5\)We have to find the time t when it hits the ground.
Mathematically, this means:
\(h(t)=0\)Then, t will be one the roots of the quadratic equation h(t) (NOTE: the other root will be an invalid value of t).
We can calculate the root as:
\(\begin{gathered} t=\frac{-30\pm\sqrt[]{30^2-4\cdot(-4.9)\cdot4.5}}{2.\cdot(-4.9)}_{} \\ t=\frac{-30\pm\sqrt[]{900+88.2}}{-9.8} \\ t=\frac{30\pm\sqrt[]{988.2}}{9.8} \\ t\approx\frac{30\pm31.44}{9.8} \\ t_1\approx\frac{30-31.44}{9.8}=\frac{-1.44}{9.8}=-0.15 \\ t_2\approx\frac{30+31.44}{9.8}=\frac{61.44}{9.8}=6.27 \end{gathered}\)The root t = -0.15 is not valid, as t has to be greater than 0.
Then, the projectile will hit the ground after t = 6.3 seconds.
Answer: 6.3 seconds.
Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)
Answers
Answer:
See below
Step-by-step explanation:
y = - 16x^2 + 110x + 15 is a dome shaped parabola
max will occur at x = -b/2a = - 110/(2*-16) = 3 7/16 seconds
using this value in the equation results in y = 204 units (feet?)
Height = 0 = -16x^2 +110x + 15 use quadratic formula
with a = -16 b = 110 c = 15 to find 7 seconds
Confirmed as of 12.14.22
Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!
__________
1. $11.50
2. Distributive Property
3. x ->-4 and x -< 3
4. x = 0 or x = -3/2
5. D = all real numbers
R = {y | y -> 0}
6. y = 12/13x - 10/13
slope: 12/13; y-intercept: -10/13
7. y - 3 = 4/9 (x - 9)
8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.
9. Graph C (representing the inequality y -< x/2 - 3)
10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)
11. [ -12 -13 13 | -15]
[ 7 -10 -3 | 11]
[ 7 14 5 | -5]
12. Graph C (representing y = 3(x - 3)^2 + 3)
13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
14. 4x^2 + 3x - 6
15. 7/2 -+ sqrt17/2
16. -15
17. (0,3), (3,0)
18. -3. -2. 2
19. Graph C (Goes vertically down, up, then down again.)
20. -6, -2
21. 2, -2, 4i, -4i
22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5
23. y = x - 2
24. f(x) = 295(1.07)^x; 338
25. y = 497(1/2)^38x; 462.029 kg
26. 4
27. 1.03
28. 4.55
29. r = Q/8s^2
30. x = 2
31. Constant of variation: -1/3
x = -63
32. (-1, 7, 5)
33. (x + 4)(6x + 7
______________________________________________
What is the measure of ZX?
1149
Select the best answer from the choices provided.
OA.
30°
OB.
57°
O C.
60°
OD.
1140
Answers
Answer:
B) 57°
Step-by-step explanation:
114÷2=57
Which two expressions are equivalent?
Answers
Answer:
option 3
Step-by-step explanation:
12 - (y*2) = 12 - (2*y) Commutative property
2*y = y*2
The width of a rectangle is 8 yards less than the length. The perimeter is 120 yards. Find the length
and width.
Answers
Answer:
length = 34 yards
Width = 26 yards
Step-by-step explanation:
Forming algebraic expression and solving:Let the length = x yards
Width = (x - 8) yards
Perimeter of rectangle = 120 yards
2*length + 2* width = 120
2x + 2*(x - 8) =120
2x + 2x - 8*2 = 120
2x + 2x - 16 = 120
Combine like terms,
4x - 16 = 120
Add 16 to both sides,
4x = 120 + 16
4x = 136
x= 136 ÷ 4
x = 34
Length = 34 yards
Width = 34 - 8 = 26 yards
evaluate the expression
Answers
Answer:
which expression no one can
Convert the measurement.
142.0 grams ≈ ? ounces
Answers
Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)
Answers
Answer:
The answer is
\(( \frac{1}{2} \: , \: 2)\)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-3) and (-4,7)
The midpoint is
\(M = ( \frac{5 - 4}{2} , \: \frac{ - 3 + 7}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{4}{2} )\)We have the final answer as
\(( \frac{1}{2} \: , \: 2)\)Hope this helps you
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic
feet of water when it is full. Its length is 8.1 ft and its width is 4.1 ft. Find the height of
the water tank in feet. Round your answer to the nearest tenth if necessary.
Answers
Answer:
4.1 ft
Step-by-step explanation:
Got it correct on delta 2023
The height of the water tank in feet is 4.1 feet to the nearest tenth.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
Given that,
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic feet of water.
Volume of the tank = 136 feet³
Length, l = 8.1 feet
Width, w = 4.1 feet
The formula to find the volume of a rectangular prism is,
Volume = l × w × h, where h is the height of the tank.
Substituting,
8.1 × 4.1 × h = 136
h = 136 / (8.1 × 4.1)
h = 4.095 ≈ 4.1 feet
Hence the height of the tank is 4.1 feet.
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Identify the property that the statement illustrates, 6 x 4 = 4 x6
Answers
Plz give brainliest
ANSWER:
Commutative Property
A car traveled 300 miles on 15 gallons of gas. How many miles does the car travel on 1 gallon of gas?
Answers
Answer:
20 miles for 1 gallon.
Step-by-step explanation:
20 x 15 = 300
Answer:
20 miles on one gallon of gas.
Step-by-step explanation:
300 miles ÷ 15 gallons = 20 miles/gallon
Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9
Answers
Answer:
20.3 < 35 - 9.8t < 30.1
Step-by-step explanation:
Given the Velocity model:
V = 35 – 9.8t ; t = time in seconds
V when t is between 0.5 and 1.5
V when t = 0.5
V = 35 - 9.8(0.5)
V = 35 - 4.9 = 30.1
Vt=0.5 = 30.1
V when t = 1.5 ;
V = 35 - 9.8(1.5)
V = 35 - 14.7 = 20.3
Vt= 1.5 = 20.3
Hence V, between, t = 0.5 and t = 1.5
Vt=1.5 < V < Vt=1.5
20.3 < V < 30.1
V = 35 - 9.8t
20.3 < 35 - 9.8t < 30.1
An online retailer wants to study whether more lenient return policies increase purchasing behaviors. They
select a random sample of 2000 customers who have made purchases in the past year.
They use a random number generator to select 1000 customer account numbers to assign to the treatment
group. The remaining 1000 customers are assigned to the control group.
What type of experiment design is this?
A) randomized block
B) stratified
C) completely randomized
D) marched pairs
E) cluster
Answers
Answer: Completely Randomized
Step-by-step explanation:
effect of one primary factor rather than many different variables
As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.
He uses matched pair of designs in his experiment design in which participants of the same traits get grouped in pairs. After which within each pair, one participant gets randomly allotted to either the treatment, and the other is assigned to the other part.Hence the option D is correct.
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(X to the second power y to the fifth power)5
Answers
Answer:
\((x^2y^5)5 = 5x^2y^5\)
Step-by-step explanation:
Remove the parentheses to factor.
\(= x^2y^5 \times 5\)
Flip the expression, creating a leading term and simplifying the equation.
\(= 5x^2y^5\)
1 point
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the
box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
Answers
The probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.
Given that
Six black, four blue, and seven red pens are included in a box. Clarissa takes a black pen at random from the box without even looking.
We have to find what is the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one.
Based on the given conditions, formulate:
7/(7+6+4)
7/(13+4)
7/17
0.41176
41.176%
Therefore, the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.
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assume that y varies inversly with the square of x then solve when x is 5, y is 4/5 find y when x is 8
Answers
since y varies inversly with the square of x, it can be written like this
\(y=\frac{k}{x^2}\)since y=4/5 when x=5, find k
\(\frac{4}{5}=\frac{k}{(5^2)}\)clear the equation for k
\(\begin{gathered} \frac{4}{5}(5^2)=k \\ 4\cdot5=k \\ 20=k \end{gathered}\)now that you have found k, use it to find y when x=8
\(undefined\)