Answer:
C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.
Step-by-step explanation:
Data Set 1: 1,2,3,3,6Data Set 2: 2,2,3,3,4,4Data Set 1
[tex]\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3[/tex]
[tex]S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}[/tex]
[tex]\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67[/tex]
Data Set 2
[tex]\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3[/tex]
[tex]\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89[/tex]
0.89 X 2=1.78 which is close to 1.67
Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.
Every _____ tessellates
Answer:
Every hexagon tessellates.
Step-by-step explanation:
Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.
The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle. What is the equation of the line that is tangent to the circle at (8, -2)?
Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.
please mark me as brainliest :)
A surveyor is 40m from the edge of a building. The angle of elevation from the surveyor to the top of the building is 55° . What is the height of the building?
Answer:
Height of building is 57.12 m.
Step-by-step explanation:
Let us try to understand the given dimensions as per the attached diagram.
Please refer to attached image (Right angled [tex]\triangle OBT[/tex])
with [tex]\angle B =90^\circ[/tex]
Let O be the point where the Surveyor is standing.
B be the point of the base of building.
T be the point of top of building.
As per question statement,
[tex]\angle O = 55^\circ[/tex]
Side OB = 40 m
To find: Side BT = ?
Using tangent trigonometric identity:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]
So, height of building is 57.12 m.
x,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z
Answer:
6, 8, 10
Step-by-step explanation:
x y and z are three consecutive even numbers
it means that you can write y = x + 2
and z = y + 2 = x + 4
so
[tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]
[tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]
so the solutions are
x = 6
y = 8
x = 10
Answer:
6, 8, 10
Step-by-step explanation:
x, y, z
y=x+2, z= x+4
y²- 2= 2x+5z(x+2)²- 2= 2x+ 5(x+4)x²+4x+4-2= 2x+5x+20x²-3x-18=0Solving the quadratic equation we get:
x=6, then y= 8, z= 10x= -3 discarded as odd numberThe ratio of boys to girls in a group is 2:1. If there are 24 more boys than girls, work out how many boys there are.
Answer:
pls mark as brainliest
Step-by-step explanation:
let the ratio be= 2:1
let the boys be= 2x
let the girls be= 1x=x
x+24=2x
x-2x=-24
-x=-24
so the minus sign will cut
x=24
2x=2×24
Boys in the class are 48
hope it helps you
Answer:
48 boys
Step-by-step explanation:
girls: x, boys: 2x
x+24=2x
24=x
girls=24, boys=48
I WILL MAKE YOU THE BRAINLLEST
Which description matches the graph of the inequality y ≤ 2x – 1?
A.a shaded region below a solid boundary line
B.a shaded region above a dashed boundary line
C.a shaded region below a dashed boundary line
D.a shaded region above a solid boundary line
Answer:
The correct option is;
A. a shaded region below a solid boundary line
Step-by-step explanation:
The parameters given are;
The equation, y ≤ 2x - 1
We compare the above equation with the equation for a straight line, y = m·x + c to get
The slope m = 2
The y-intercept c = -1
Therefore, we have;
The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line
Which gives the correct option as A. A shaded region below a solid boundary line.
Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)
Answer:
[tex](2, 17)[/tex]
Step-by-step explanation:
A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]
In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]
where
[tex]a=1[/tex]
[tex]b=-4[/tex]
[tex]c=21[/tex]
the vertex of a parabola is in the coordinates:
[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]
substituting all of the known values, we get the following:
[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]
the vertex of [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.
Answer:
2,17
Step-by-step explanation:
Sandy borrowed 6709 R.O from a bank to buy a piece of land. If the bank charges 12 1/3 % compounded each two months, what amount will she have to pay after 2 years and half? Also find the interest paid by her.
Answer:
she is paying back 9112.5 R.O
Interest paid back is 2,403.95
Step-by-step explanation:
To find the amount, we use the compound interest formula.
This is given as;
A = I( 1 + r/n)^nt
where A is the amount we are trying to calculate
I is money borrowed = 6709
r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233
n is the number of times interest is compounded. We have 15 2 months in 2 and a half years
t is the number of years = 2.5
Plugging these values, we have;
A = 6709(1 + 0.1233/15)^(15)(2.5)
A = 6709(1.0082)^(37.5)
A = 9112.95 R.O
Interest is amount - principal( money borrowed)
9112.95 - 6709 = 2403.95
Evaluate 27% of £396.58
Answer: £107.08
Step-by-step explanation:
27% of 396.58
= 396.58 x 0.27
= 107.08
What is 1 + 1 in math 3
Answer:
11
Step-by-step explanation:
the answer is 11
Name the plane represented by the front of the box.
Answer:
FBC
Step-by-step explanation:
It's the only one at the front of the box
Answer:
FBC
Step-by-step explanation:
thats what it says on my sheet
{(1,3),(1,2),(3,-2),(3,-2),(3,2)} is a function?
Answer: No its not a Function
Step-by-step explanation:
ITs not a function because
{(1,3),(1,2),(3,-2),(3,-2),(3,2)}
The codomain is being repreted
for example if you look here (1,2),(3,2)}
The 2 is being repreted which shows its not a function
Hope this helps :)
what are the two consecutive numbers of 235
Answer:
117, 118
Step-by-step explanation:
if 2 consecutive numbers have a sum of 235, then
Let the 2 numbers be n and n+1
Given That:
n + n+1 = 235
Simplify and solve:
2n + 1 - 235
2n = 234
n = 117.
If n = 117, then n +1 = 118. These are the 2 consecutive numbers.
Hope this helps.
Good Luck
Answer:
236 AND 237
Step-by-step explanation:
Two consecutive numbers means next two continuous numbers
f(x) = x^2. What is g(x)?
Answer:
B
Step-by-step explanation:
The coordinates are (1, 9).
x = 1
y = 9
Put x as 1, and the output should be 9.
g(1) = ( 3 (1) )²
g(1) = (3)²
g(1) = 9
Answer:
b
Step-by-step explanation:
B is correct since you could use a graphing calculator to solve this by plugging each answer choice into the calc.
another way is to plug 1 or x into each of the equations and see which choice has 9 as y
which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)
Answer:
Step-by-step explanation:
Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction
In circle O, angle AOB measures radians.
What is the length of arc AB?
π in.
If you know the angle in radians, then the length of the arc is
(measure of the angle in radians) x (radius of the circle) .
In this circle, we know the angle and we know the radius.
Arc AB = ( π/4) x (16")
Arc AB = 4π inches
Arc AB = about 12.566... inches
Answer:
6 pie correct on edge
Step-by-step explanation:
Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)
Answer:the answer I’m is C trust me
Step-by-step explanation: I just took the test
Answer:(-4,7)
Step-by-step explanation:
Edg 2021
The population, P in thousands of a resort community is shown by
P(t)= 500t/2t^2+9'
where t is the time in months since city council raised property taxes.
Find the interval on which the population was 40,000 or greater
Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)
Answer:
(-∞, 5/3) and (5/3,∞)
Step-by-step explanation:
f(x) = (x+4)/ (3x-5)
The domain is the values that x can be
We have one discontinuity or value the x cannot be
The denominator cannot be zero
3x-5 ≠0
3x≠5
x ≠5/3
The domain is all real numbers but x = 5/3
(-∞, 5/3) and (5/3,∞)
Solve 2x2 + 12x = 10. (1 point) Select one: a. −3 ± square root 14 b. −3 ± 2 square root 2 c. −3 ± square root 19 d. −3 ± square root 29
Answer:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
Step-by-step explanation:
Simply the expression (2x^2y)^3
Answer:
8 x^6 y^3
Step-by-step explanation:
(2x^2y)^3
(ab)^c = a^c * b^c
2^3 * x^2^3 * y^3
8 * x^2^3 * y^3
We know that a^b^c = a^(b*c)
8 * x^(2*3) * y^3
8 * x^(6) * y^3
8 x^6 y^3
please solve
thankyou in advance x
Answer:
For the first one,
x=6 and y=16
Step-by-step explanation:
If I think of any more then I will tell you
Probability of Tournament Winners
Try it
Which statements are true? Check all that apply.
A local chess tournament gives medals for first, second,
and third place. There are five students from Midland
High, three students from Leasburg High, and six
students from Cassville High competing in the
tournament.
Order matters in this scenario.
There are 2,184 ways to select a first-place,
second-place, and third-place winner.
The probability that all three winners are from
Midland High is 0.0275.
The probability that all three winners are from
Leasburg High is 0.0046.
The probability that all three winners are from
Cassville High is 0.0549
Answer:
The answer is A B C and E
Step-by-step explanation:
I just took it
The statements are true A, B, C, and E.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The given data in the problem is;
No of the students from Midland High = 5
No of the students from Leasburg High= 3
No the students from Cassville High = 6
The statements that are true will be;
A.Order matters in this scenario.
B.There are 2,184 ways to select a first-place,second-place, and third-place winner.
C.The probability that all three winners are from Midland High is 0.0275.
E.The probability that all three winners are from Cassville High is 0.0549
Hence the statements are true A, B, C, and E.
To learn more about the probability refer to the link;
https://brainly.com/question/11234923
Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?
Answer:
days ≤ 6
Step-by-step explanation:
she gas 160 pages out of the 380 pages, so she needs to write other:
380 - 160 = 120 pages.
If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:
20*d = 120
d = 120/20 = 6
so d is the number of days, and we have that:
d ≤ 6.
The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.
andy has 310$ in his account. each week,w, he withdraws 30$ for his expenses. which expression could be use if he wanted to find out how much money he had left after 8 weeks?
Answer:
The expression is (310-30)^8
Step-by-step explanation:
ezer lol lol.
Pavel and Katie share some sweets in the ratio 3: 8.
Katie gets 32 sweets.
How many sweets does Pavel get?
Answer:
Step-by-step explanation:
Katie gets 32/8 = 4 lots of sweets
Pavel gets 4 lots x 3 = 12 sweets
Simplify
(y + 1)
(y + 1)
Answer:
That is already at its simplest form.
Step-by-step explanation:
(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.
A circular pond has a radius of 6 feet. What is the area of that pond?
Answer:
radius x radius x pi = area of circle
6 x 6 = 36
36 x 3.14 = 113.04
113.04
Hope this helps
Step-by-step explanation:
Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
What is the domain of the step function f(x) = ⌈2x⌉ – 1?
Answer:
believe its 2x cause 1 was wrong