Answer: b. 30%
Step-by-step explanation:
A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]
Given: mean = [tex]\mu=90[/tex]
Variance = [tex]\sigma^2 = 729[/tex]
[tex]\sigma=\sqrt{729}=27[/tex]
Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]
in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]
Hence, correct option is b. 30%.
Based on the information given the coefficient of variation is b. 30%.
Coefficient of variationUsing this formula
Coefficient of variation=√Variance/Mean
Let plug in the formula
Coefficient of variation=√729/90
Coefficient of variation=27/90
Coefficient of variation=0.3×100
Coefficient of variation=30%
Inconclusion the coefficient of variation is b. 30%.
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Simplify the expression.
(3 + 7) − 12 ÷ 4
A) 1
B) 4
C) 6
D) 7
D) 7
(3 + 7) -add [3+7= 10]
10-12÷4- then divide [12÷4=3]
now take 10 and 3 and subtract
10-3= 7
D) 7
Last year 858 people attended the Middleton County Fair. This year 1368 people attended. What was the percent increase in attendance from last year to this year? (Round to the nearest tenth of a percent.)
Answer:
59.4%
I hope I got that right!
Answer:
37.28%
Step-by-step explanation:
1368-858=510
510x100
1368
=37.28%
JUST the odd number PLZ help
Answer:
What are we looking at
Step-by-step explanation:
can you please specify
In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the
hypotenuse and other leg.
Answer:
in the explanation
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the leg opposite to 30 to the leg opposite to 60 to the hypotenuse is 1:[tex]\sqrt{3\\}[/tex]:2.
So, the 7 inch leg is the 1, the other leg is 7[tex]\sqrt{3}[/tex] in and the hypotenuse is 14 in.
Hope this helps!
Line segment AB has a length of 1 unit. It is translated 4 units to the right on a
coordinate plane to obtain line segment A'B'. What is the length of A'B'?
Answer:
1 unit
Explanation:
We know that line segment AB is 1 unit long, and that it is translated 4 units to the right to obtain line segment A'B'. A translation is a type of rigid transformation - which means that the shape stays the same as it is moved on a coordinate plane. Therefore, the length of line segment A'B' would be the same as line segment AB: 1 unit.
la razon de 3 librasa $ 6.00
Answer:
I would love to help you so much but I don't understand
What is the relationship
Answer:
Alternate Interior Angles
two segments are ___?__if they have the same measure
Answer:
equal
Step-by-step explanation:
give me brainlyest plz
Answer:
Congruent
Step-by-step explanation:
Congruent means that two shapes or lines are equal and have the same measure. Therefore, the word congruent would best fill the blank. For example, if two lines both had a measurement of 7 units then they would be considered congruent.
what's the inequality describes all possible length of AB?
Answer:
We conclude that inequality describes all possible lengths of AB
13 < x < 35Option C is true.
Step-by-step explanation:
We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Now, checking the interval of the length of the side 'x', such as:
24 + 11 = 35
24 - 11 = 13
so the possible lengths of the side 'x' will be:
13 < x < 35
Therefore, we conclude that inequality describes all possible lengths of AB
13 < x < 35Hence, option C is true.
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82%There are 24 students in a class.
8 of the students are boys.
b)
a)
Write the amount of boys in the class as a fraction in its simplest form.
b)
Write the amount of girls in the class as a fraction in its simplest form.
Answer:
Boys: 1/3
Girls: 2/3
Step-by-step explanation:
There are 8 boys in the class out of 24 students.
The fraction will be 8/24. Both the numerator and the denominator are divisible by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
The simplest form will be 1/3.
There are 16 girls in the class because 24 - 8 = 16.
The fraction will be 16/24. Both numbers are divisible by 8.
16 ÷ 8 = 2
24 ÷ 8 = 3
The simplest form will be 2/3.
Hope that helps.
expand and simplify x(x-3)(x+5)
Answer:
x³ + 2x² - 15x
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
x(x - 3)(x + 5)
Step 2: Expand
Distribute x: (x² - 3x)(x + 5)FOIL: x³ + 5x² - 3x² - 15xCombine like terms: x³ + 2x² - 15xThe game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9 / 19
Step-by-step explanation:
Given that:
Number of slots on roulette wheel = 38
Number of red on wheel = 18
Number of black on wheel = 18
Number of green = 2
The probability that ball will land on red slot :
Recall: probability of event (A) = P(A)
P(A) = (number of required outcome / number of total possible outcomes)
Hence,
P(ball lands on red) = (Number of red slots / total number of slots)
P(ball lands on red) = 18 / 38
P(ball lands on red) = 9/ 19
A box of 10 flashbulbs contains 2 defective bulbs. A random sample of 2 is selected and tested. Let x be the random variable associated with the number of defective bulbs in the samplea. find the probability distribution of Xb. find the expected number of defective bulbs in a sample
Step-by-step explanation:
The probability of selecting no bad ones is the probability of
selecting 2 from the 8 good bulbs, which is C(8,2)/C(10,2) or it can also be written as (8C2)/(10C2) = 28/45
The probability of selecting 1 good one and one bad one, is the
probability of selecting 1 from the 8 good bulbs, and one from
the 2 bad ones, which is [C(8,1)C(2,1)]/C(10,2) or as some people
write it (8C1×2C1)/(10C2) = 16/45.
The probability of selecting two bad one, is C(2,2)/C(10,2) or
as some people write it (2C2)/(10C2) = 1/45.
What is the lowest common denominator of 1/32 and 2/3
Answer:
96
Step-by-step explanation:
The least common denominator or lowest common denominator is the smallest multiple that the denominator (that is the number on the bottom of a fraction) has in common.
Since 32, and 3 have no common factors, one simply has to multiply them to find the least common denominator.
32 * 3 = 96
Which of the following is a true statement?
A. -3 < -4
B. 9 < -9
C. -6 < -2
D. 0 < -1
Answer:
C is true because when it comes to negative numbers, the closer it is to 0 the higher the value of the number is
3. A city is selling tickets for Family
Night at the ballpark. Tickets cost $5
each. On Monday, 517 tickets were
sold. On Tuesday, 413 tickets were
sold. How much money has been
collected for the tickets?
Answer:
$4650
Step-by-step explanation:
.....................
Write an equation in slope-intercept form for the line with slope -2 and y-intercept 9.
Which of the following is a horizontal line?
1) y = x
2) x = 4
3) y = 4
4) y = -4x + 1
Answer:
3) y=4
Step-by-step explanation:
Answer:
y=x
Step-by-step explanation:
bcoz in graph work its normally y=x
There are 75 children. 28 children are hiking and 15 at a picnic. The rest of the children are playing soccer. How many children are playing soccer
Answer:
there are 32 kids playing soccer
Step-by-step explanation:
28+15=43
75-43=32
In △QRS, QR¯¯¯¯¯¯¯¯ has been bisected at point T, and TU¯¯¯¯¯¯¯ has been drawn such that U is the point of intersection of TU¯¯¯¯¯¯¯ and RS¯¯¯¯¯¯¯. Which statement must be true in order to prove that TU=12QS?(1 point)
∠RTU≅∠RUT
∠TQS≅∠RUT
∠RTU≅∠TQS
∠TQS≅∠USQ
9514 1404 393
Answer:
∠RTU≅∠TQS
Step-by-step explanation:
To show TU ║ QS, the angles made by transversal RQ with each of those segments must be shown to be congruent. That is, it must be true that ...
∠RTU≅∠TQS
Suppose that F(x)=x3 and G(x)=-5x3+2 which statement best compares the graph of g(x) with the graph of F(x)
Answer:
The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up
Step-by-step explanation:
I like math.
Use the expression (a+b)(c-d)+9e(a+b)(c−d)+9eleft parenthesis, a, plus, b, right parenthesis, left parenthesis, c, minus, d, right parenthesis, plus, 9, e to find an example of each kind of expression.
Kind of expression
Example
Answer:
Difference: ¨c-d¨ variable: ¨a¨ coefficient: ¨9¨
Step-by-step explanation:
Just trust me bro
DUE AT 11:59 I NEED HELP NOW
Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?
Answer:
C=2.50r+5.25
Step-by-step explanation:
(r represents each ride cost)
5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.
What is the answer to number 7
Answer:
Your answer should be D
Step-by-step explanation:
Because he added his terms correctly and divided correctly
What is the surface area of the cuboid 3cm 5cm and 2cm.
Answer:
SA = 62 cm2
Step-by-step explanation:
The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
What is the formula for the total surface area of a cuboid?The total surface of the cuboid = 2(LB+BH+HL)
Consider that the length, width, and height of the cuboid are L, B, and H.
The cuboid is given in the question
Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.
The surface area of the cuboid = 2(LB+BH+HL)
Here L = 3 cm, B = 5 cm, and H = 2 cm
Substitute the values in the above formula, and we get
The surface area of the cuboid = 2(3 × 5 + 5 × 2 + 2 × 3)
The surface area of the cuboid = 2(15 + 10 + 6)
The surface area of the cuboid = 2(31)
The surface area of the cuboid = 62 cm²
Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
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What is the next number in this geometric sequence?
-3.24, 9.72,-29.16, 87.48,
A. 262.44
B. 174.96
C.-262.44
D. -174.96
Answer:
C. -262.44
Step-by-step explanation:
-3.24, 9.72,-29.16, 87.48
-3.24*-3= 9.72, 9.72*-3= -29.16, -29.16*-3= 87.48
the rule for this sequence is multiplying by -3
87.48*-3= -262.44
Rachel’s gym charges a one-time registration fee of $45 and a monthly fee of $39. Which function can be used to find y, the total charges at this gym for x months?
Answer: 39x+45=y
Step-by-step explanation:
two column triangle proof.
Answer:
BD ≅ BD Reflexive Property of Congruence
∠ADB ≅ ∠CDB Definition of Angle Bisector
I'm taking Geometry this year actually. Hope this helps!
Answer:
The statement is triangle BAD ≅ triangle BCD. The reason is SSS or side-side-side
The spring of a spring balance is 5.0in. long when there is no weight on the balance, and it is 8.4in. long with 4.0 lb hung from the balance. How much work is done in stretching it from 5.0in. to a length of 12.8in.?
Answer: work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In
Step-by-step explanation:
We know that
f(x) = kx
given that;
Natural length L = 5
x = 8.4 - 5 = 3.4
force F = 4.0 lb
f(x) = kx
we substitute
4 = k × 3.4
k = 4 / 3.4
k = 1.1764 = 20/17
Now work done from natural length to 12.8
x = 12.8 - 5 = 7.8
work done = ₀∫^7.8 f(x) dx
= ₀∫^7.8 kx dx
we substitute value of k
= ₀∫^7.8 (20/17)x dx
= 20/17 [ x²/2 ]
= 20/17 [ (7.8)²/2 - 0 ]
= 1.1764 × 30.42
= 35.786 ≈ 36 lb.In
Therefore work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In