Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.
13, 17, 9, 21
What is the standard deviation for the data?
Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
A.) 0
B.) 4
C) 2
D.) 26.7
Answer: B) 4
Step-by-step explanation:
Using the formula
Standard deviation = √( (Σ ( x - π)²)/n)
To get the standard deviation, first we workout the Mean which is the simple average of the data set
n = 4
(13 + 17 + 9 + 21) / 4 = 60/4 = 15
Mean(x) = 15
Then (x-π)²
13 - 15 = (-2)² = 4
17 - 15 = (2)² = 4
9 - 15 = (-6)² = 36
21 - 15 = (6)² = 36
Σ ( x - π)² = (4 + 4 + 36 + 36) = 80
Standard deviation = √( (Σ ( x - π)²)/n
= √ (80/4)
=√20
= 4.47
= 4
2 people can plough through a field in 6 hours How long will it take for 1 person to plough through a field How long will it take for 3 people to plough through a field
Answer:
3 people 4 hours and and one person 12 hours
Step-by-step explanation:
your welcome
What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?
Answer: Dot product of the 2 vectors = 0. Therefore cos x = 0 where j is the angle between the 2 vectors. S0 j = 90°... I believe.
answer this plz :) i need it asap
Answer:
Step-by-step explanation:
12+12=24
2+2=4
8+8=16
add them up
44
Answer:
44
Step-by-step explanation:
12*2=24
2*2=4
8*2=16
24+4+16=44
What is the factored form of 27a6+8g12?
Answer:
[tex]\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Step-by-step explanation:
[tex]27a^6+8g^{12}[/tex]
[tex]\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3[/tex]
[tex]\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]
[tex]\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Answer:
b
Step-by-step explanation:
correct on edge 2021
the other one isnt even an option
Help help help fast plz plz this is graded
Answer:
120
Step-by-step explanation:
First, you notice that both the angles add up to 180 degrees because it is a straight line. Therefore, 2x+x+90=180. Now you have an equation to solve! Subtract 90 from both sides and combine like terms. 3x=90. Therefore, x=30. Now you plug x back in to find out m<DBC. DBC=x+90 which is 30+90= 120.
Multiply the polynomials
Need help with this math question
Answer:
B. 46
Step-by-step explanation:
10% is equal to 1/10, so we have x/10 = 20. We multiply by 10 on both sides, leaving us with x = 200. 23% of 200 is equal to 46.
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
Answer:
therefore the population of the culture is 2313
A dealer bought 18 toy chairs at Rs.65 per chair he sold 12 of them at Rs.75 each and the remaining chairs at rs
60 each find his profit or loss percentage
Answer:
The dealer's profit percentage is 7.692%
Step-by-step explanation:
18 × 65 = 1170
He spent Rs.1170
12 × 75 = 900
60 × (18-12) = 360
900 + 360 = 1260
He got a profit of Rs.90.
1170 × (1 + x/100) = 1260
1 + x/100 = 14/13
x/100 = 1/13
x= 7.692307692
Answer:
7.7%
Step-by-step explanation:
spent= Rs. 65*18= Rs. 1170
earned= 12*Rs. 75+6*Rs. 60= Rs. 1260
profit= Rs. 1260- Rs. 1170= Rs. 90
profit %= 90/1170*100%= 7.7%
Is it possible to ride a bike 200 miles in 13 hours
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector?
Answer:
120°
Step-by-step explanation:
The area of a sector of a circle is given by:
[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of sector in degrees
r = radius of circle.
The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:
[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]
The central angle of the sector is 120°
how u answer this? 8(u-4)+3=43
Answer:
9
Step-by-step explanation:
8(u-4)+3=438u-32+3=438u-29=438u=43+298u=72u=72/8u=9pls answer this thanks
Answer:
1) 1/10
2)2/10
3)8/10
Step-by-step explanation:
the numbers 1 and 10 both have 1 in them
Solve for x: 3 < x + 3 < 6
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to all sides
3 - 3 < x + 3 - 3 < 6 - 3
~Simplify
0 < x < 3
Best of Luck!
Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
Answer:
11 am
Step-by-step explanation:
Determining a Number of Solutions
Quick
Check
Determine whether the systems have one solution, no solution, or infinitely many solutions.
3x - 2y = 3; 6x - 4y = 1
One Solution
No Solution
Infinitely Many Solutions
3x - 5y = 8,5x - 3y = 2
3x + 2y = 8; 4x + 3y = 1
3x - y = 3; 2x - 4y = 2
3x - 4y = 2, 6x - y = 1
Intro
Done
Answer:
No Solution
Step-by-step explanation:
For one solution;
it will be consistent and independent ( example, x = 1 and y = 2)
For no solution;
it will be inconsistent and independent ( example, 0 = 2)
For many solution;
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
ONE SOLUTION
3x-5y=8; 5x-3y=2
3x+2y=8; 4x+3y=1
NO SOLUTION
3x-4y=2; 6x-8y=1
3x-2y=3; 6x-4y=1
INFINITELY MANY SOLUTIONS
3x-6y=3; 2x-4y=2
Step-by-step explanation:
i got this right on edge
the sum of 3x^2 + x - 7 and x^2 + 10 can expressed as
Answer:
4x^2 + x + 3
Step-by-step explanation:
Here, we want to find the sum of the two polynomials
That would be ;
3x^2 + x-7 and x^2 + 10
Adding means we are taking like terms together
That would be
3x^2 + x ^2 + x -7 + 10
= 4x^2 + x + 3
Answer:
It's D
Step-by-step explanation:
What’s the answer??????????????????????
Answer:
see below
Step-by-step explanation:
A picture can explain a lot. The coordinates are shown in the attachment.
Positive angles are measured counterclockwise (CCW). Negative angles are measured clockwise. So, -3π/4 is the same as +5π/4, since a circle is 2π = 8π/4.
___
It can be useful to memorize this chart, or keep one like it for handy reference.
Evaluate 9.1s + 8.5t when s= 6 and t=7.
9.10 +8.50 =
+59.5
11
9.1 +8.50
=
+ 59.5
Answer:
The answer is 114.1.
Step-by-step explanation:
You have to substitute the s and t value into the expression :
[tex]9.1s + 8.5t[/tex]
[tex]let \: s = 6[/tex]
[tex]let \: t = 7[/tex]
[tex]9.1(6) + 8.5(7)[/tex]
[tex] = 54.6 + 59.5[/tex]
[tex] = 114.1[/tex]
Danielle works at a toy store that sells remote control cars. She wants to fit 60 car boxes into a large crate. The car boxes have dimensions of 50 cm × 30 cm × 20 cm. The crate has dimensions of 140 cm × 120 cm × 110 cm. Predict whether all 60 boxes fit in the crate. Show your calculations to support your answer. Explain your thinking.
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Find the area of a regular octagon with a side length of 12cm.
Steps:
Shape: Regular octagon
Solved for area
Side length= 12cm
A=2(1+√2)a2
Description:
Using the formula A=2(1+√2)a2 for area and Regular octagon, we calculate the side length that is 12 cm. After you calculate your answer will equal as A≈695.29cm². Since it says to round to the tenth, your answer will equal as 695.3 after rounding.
Answer: A≈695.29cm²
Round to the nearest tenth = 695.3
Please mark brainliest
Hope this helps.
Can someone help me with this?
Answer:
E= 52 degrees and F=21 degrees
(sorry)
Step-by-step explanation:
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.) (1 point)
Answer:
Width of the rectangle is 2Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle = [tex]base * height[/tex]
Area of one of the triangle = [tex]\frac{1}{2}\ * \ area\ of\ the\ rectangle[/tex]
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle = [tex]\frac{1}{2} * 5 * 2[/tex]
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
in how many years will rupees 1200 at the rate of 15% interest amount to 1740
Answer: 3 years
Step-by-step explanation:
Interest = 1740 - 1200 = 540
SI = prt / 100
540 = 1200 x 0.15 x t
540 = 180t
t = 540 / 180 = 3
Find the interest amount.
[tex]I=1740-1200=540[/tex]
Use the formula for simple interest.
[tex]I=prt/100[/tex]
Solve for t.
[tex]540=1200 \times 15\% \times t[/tex]
[tex]540=1200 \times \frac{15}{100} \times t[/tex]
[tex]540=180t[/tex]
[tex]t=\frac{540}{180}[/tex]
[tex]t=3[/tex]
3 years.M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
What is the slope of the line in the graph?
Step-by-step explanation:
slope = Change of y/ change of x
= 4/4
= 1
slope + or > 0 y increases when x increases
David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
Learn more about distance here: https://brainly.com/question/23561100
The base of a rectangular prism has an area of 121212 square centimeters. The height of the rectangular prism is 333 centimeters. What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36 cm³
Step-by-step explanation:
Volume of rectangular prism =( L * B * H) or (area * height)
= 12 cm² * 3 cm
= 36 cm³
Answer:
What is the area of the base of the rectangular prism?
18 square centimeters
What is the height of the rectangular prism?
6 centimeters
What is the volume of the rectangular prism?
108 cubic centimeters
Step-by-step explanation: