Step-by-step explanation:
Because a cube has 6 sides ...and a cube has equal side lengths so the area of each side is s x s = s^2
then the total is 6 s^2
find the difference
5/6-7/10
Answer:
2/15
Step-by-step explanation:
BRANIEST PLS
Answer: 2/15 is the answer hope this help
Step-by-step explanation:
in a pitch black room you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. how many socks do you take out to ensure you get a pair that is not navy?
There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
Statistics is the study of events that follow a probability distribution.
So, we know that:
27 black socks.
18 grey socks.
9 navy socks.
Probability formula: P(E) = Favouravle events/Total events
Now, insert values in the formula as follows:
P(E) = Favouravle events/Total events
P(E) = 27+18/27+18+9
P(E) = 45/54
P(E) = 15/18
P(E) = 5/6
Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.
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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?
Which table represents a linear function
Answer:
What are the other tables/answer choices?
Step-by-step explanation:
HELPP PLEASE ITS DUE IN A COUPLE OF MINUTES AND IM HAVING TROUBLE
Determine the exact surface area of the cylinder in terms of pi.
6 9/16 pi cm sq
10 pi cm sp
15 15/16 pi cm sq
19 3/8 pi cm sq
The surface area of a cylinder can be found by adding the area of the top and bottom circles to the lateral area (the curved surface). The exact surface area of the cylinder is 10 pi square units.
How is surface area determined?The area of each circle is pi times the radius squared, so:
Area of top circle = pi * (5/4)^2 = 25/16 * pi
Area of bottom circle = pi * (5/4)^2 = 25/16 * pi
The lateral area is the height times the circumference of the circle, so:
Lateral area = height * circumference = (11/4) * (2 * pi * (5/4)) = 55/8 * pi
Adding these three areas together, we get:
Surface area = 2 * (25/16 * pi) + 55/8 * pi
Surface area = 50/16 * pi + 55/8 * pi
Surface area = 25/8 * pi + 55/8 * pi
Surface area = 80/8 * pi
Surface area = 10 * pi
Therefore, the exact surface area of the cylinder is 10 pi square units. None of the answer options provided matches this exact result, but the closest one is 19 3/8 pi cm sq.
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What is the value of x/3y, when x = 18 and y = 3? A. 3/18 B. 2 C. 3 D. 6
All we need to so substitute and simplify:
18/3(3)
18/9
2
Best of Luck!
What is the equation in standard form of the line that passes through the point (6,-1) and is
parallel to the line represented by 8x + 3y = 15?
A 8x + 3y = -45
B 8x - 3y = -51
C 8x + 3y = 45
D 8x - 3y = 51
Answer:
C; 8x+3y= 45
Step-by-step explanation:
The process is really long so here we go...
8x+3y=15 is the equation and we want to bring it to slope intercept form so that we can know what the slope is.
(8x+3y=15) -8x = (3y=-8x+15) /3 = y= -8/3x +5
We now know that the slope of the equation is -8/3x, and since we are trying to find out a line parallel to the that equation we can use the same slope in the equation: y+y1=m(x+x1)
Which would be: y-1=-8/3(x+6)
then: y-1=-8/3x-16
then: y= 8/3x+15
We're not done yet because we have to simplify it to standard form so we can subtract 8/3x so that it can join the y's side, and we would have the multiply the whole equation by -3 so that x wouldn't be a fraction, which results it not being in standard form. That leaves the final answer, 8x+3y=45
The equation in standard form of the line that passes through the point (6, -1) and is parallel to the line represented by 8x + 3y = 15 is 8x + 3y = 45
Equation in standard formAx + Bx = C
where
A, B and C are constantTherefore, using slope intercept form
y = mx + b
where
m = slope
b = y-intercept
8x + 3y = 15
3y = -8x + 15
y = -8 / 3 x + 5
slope = - 8 / 3
It passes through (6, -1)
let's find b
-1 = - 8 / 3 (6) + b
-1 = -48 / 3 + b
-1 = -16 + b
b = -1 + 16
b = 15
Therefore,
y = - 8 / 3 x + 15
8 / 3 x + y = 15
8x + 3y = 45
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A wrapped gift box ha a width of (x – 1), a length of (2x – 1), and a height of x. What i the volume of the box if the width i 5 inche
If the width is 5 inches, then the volume of the box is 330 inches³.
Based on the problem, the width of the box is 5 inches, then we can substitute that value into the equation for width:
x - 1 = 5
Solving for x, we get:
x = 5 + 1 = 6
Now that we know the value of x, we can substitute it into the equations for length and height:
length = 2x - 1 = 2(6) - 1 = 11 inches
height = x = 6 inches
Use these measurements to calculate the volume of the box. The volume of a rectangular box is found by multiplying the length, width and height:
volume = length x width x height
volume = 11 x 5 x 6 = 330 inches³
Therefore, the volume of the box is 330 cubic inches.
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Analyzing Loops. Let n and b be positive integers such that n>b>1. Consider the three loops below. Loop1 (n) while n>50 n←π/b
2
endwhile
m←−10n
Loop2(n)
while n>m n←n−b endwhile
m←2
n
Loop3(n)
while n
2
n. Is it Ω(log
2
n) ? O(log
2
n) ? or O(log
2
n) ? iii. (0.5 pts.) Finally, when b=2, which loop(s) has the fastest running time (i.e., it ends the earliest)?
Loop3 (O(\(log_2\)(n))) has the fastest running time.
Let's analyze the three loops and determine their time complexities.
Loop1:
while n > 50
n ← π/\(b^2\)
endwhile
m ← -10n
In this loop, the value of n is updated in each iteration as n ← π/\(b^2\), where b is a constant. The loop continues until n becomes less than or equal to 50. The value of n decreases with each iteration, converging towards 50. Since the value of n is divided by \(b^2\) in each iteration, the number of iterations required for n to reach 50 can be approximated as \(log_b\)(n/50). Therefore, the time complexity of this loop can be expressed as:
Time complexity of Loop1: O(\(log_b\)(n/50))
Loop2:
while n > m
n ← n - b
endwhile
m ← 2n
In this loop, the value of n is decremented by b in each iteration until it becomes less than or equal to m. Then m is updated to 2n. The number of iterations required for n to reach m can be approximated as n/b. Therefore, the time complexity of this loop can be expressed as:
Time complexity of Loop2: O(n/b)
Loop3:
while n > 2
n ← √n
endwhile
In this loop, the value of n is updated in each iteration as n ← √n. The loop continues until n becomes less than or equal to 2. The value of n decreases with each iteration, converging towards 2. The number of iterations required for n to reach 2 can be approximated as \(log_2\)(n). Therefore, the time complexity of this loop can be expressed as:
Time complexity of Loop3: O(\(log_2\)(n))
To answer the question regarding Ω(\(log_2\)(n)), O(\(log_2\)(n)), or Θ(\(log_2\)(n)), it seems that the third loop, Loop3, has a time complexity of O(\(log_2\)(n)). The other two loops, Loop1 and Loop2, have different time complexities.
Finally, when b = 2, we can compare the time complexities of the loops:
Loop1: O(\(log_2\)(n/50))
Loop2: O(n/2)
Loop3: O(\(log_2\)(n))
Comparing these time complexities, we can observe that Loop3 (O(\(log_2\)(n))) has the fastest running time, as the time complexity is independent of n. Loop1 (O(\(log_2\)(n/50))) depends on the value of n, and Loop2 (O(n/2)) has a linear time complexity with respect to n.
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HELP PLZ I NEED THIS ANSWER FAST! D: im dumb-
toni is opening his own starbucks franchise and needs to find the correct dimensions to erect a new sign. The area of his new sign is 16 pi yd^2, what is the circumference of his sign
The circumference of the sign is 8π yards.
Given that, the area of the sign is 16π yd².Therefore, the radius of the sign is: `r=√(Area/π)=√(16π/π)=√16=4 yards`.So, the circumference of the sign is: `C=2πr=2π(4)=8π yards`.Therefore, the circumference of Toni's new Starbucks franchise sign is 8π yards.
The area of a circle is given by the formula A = πr², where A is the area of the circle and r is the radius. Here, the area of the sign is given as 16π yd². So, we can use the formula A = πr² to find the radius of the sign.r² = A/π = (16π yd²) / πr² = 16The radius of the sign is r = √16 = 4 yards.Now that we know the radius of the sign, we can use the formula for the circumference of a circle to find the circumference of the sign. The circumference of a circle is given by the formula C = 2πr, where C is the circumference of the circle and r is the radius.C = 2πr = 2π(4) = 8π yardsTherefore, the circumference of Toni's new Starbucks franchise sign is 8π yards.
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In the figure below, m < 1=79° and m < 2 = 53°. Find m < KJL.
Applying the angles addition postulate, m<KJL = 132°.
What is the Angles Addition Postulate?The Angles Addition Postulate is a fundamental property of angles in geometry that explains how to find the measure of an angle that is formed by two adjacent angles. According to this postulate, the measure of the larger angle, which is formed by two adjacent angles, is equal to the sum of the measures of the two smaller adjacent angles.
Given the following:
m <1 =79°
m<2 = 53°
Thus, we have:
m<KJL = m<1 + m<2
Substitute:
m<KJL = 79 + 53
m<KJL = 132°
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The angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure of m∠KJL = 132°.
How to evaluate for the angle measure of m∠KJLWe can observe that the angles m∠1 and m∠2 are between the angle m∠KJL hence the sum of the two angles m∠1= 79° and m∠2 = 53° will give the measure of m∠KJL as follows:
m∠1 + m∠1 = m∠KJL
79° + 53° = 132°
m∠KJL = 132°
Therefore, the angles m∠1 = 79° and m∠2 = 53° make up the angle m∠KJL and the measure m∠KJL = 132°
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Ms. Burnham is playing Jeopardy against Mr. Lafferty. Mr. Lafferty incorrectly answers questions worth 50 points five times in a row. What is his score so far?
Answer:
-250
Step-by-step explanation:
assuming he starts at 0 pts -50 * 5 = -250
Derek can deposit $240.00 per month for the next 10 years into an account at Bank A. The first deposit will be made next month. Bank A pays 14.00% and compounds interest monthly. Derek can deposit $2,467.00 per year for the next 10 years into an account at Bank B. The first deposit will be made next year. Bank B compounds interest annually. What rate must Bank B pay for Derek to have the same amount in both accounts after 10 years? Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, \% sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))
To determine the interest rate Bank B must pay, we equate the future values of both accounts after 10 years and solve for Bank B's interest rate.
To find the interest rate Bank B must pay for Derek to have the same amount in both accounts after 10 years, we can calculate the future value of each account and equate them. For Bank A, using the formula for monthly compound interest:
Future Value = Principal * (1 + (interest rate/12))^n, where n is the number of months
Principal = $240.00, interest rate = 14.00% per annum
Future Value of Bank A = $240.00 * (1 + (0.14/12))^(10*12)
For Bank B, using the formula for annual compound interest:
Future Value = Principal * (1 + interest rate)^n, where n is the number of years
Principal = $2,467.00, interest rate = unknown
Future Value of Bank B = $2,467.00 * (1 + interest rate)^10
Equating the future values and solving for the interest rate of Bank B gives the required rate.Therefore, To determine the interest rate Bank B must pay, we equate the future values of both accounts after 10 years and solve for Bank B's interest rate.
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What is an equation of the line that passes through the point (-2,-8) and has a slope of 3?
1) y=3x-2
2) y=3x-22
3) y=3x+2
4) y=3x+22
please show your work.
Answer:
A) y=3x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-8)=3(x-(-2))
y+8=3(x+2)
y=3x+6-8
y=3x-2
Resting heart rates, in beats per minute, were recorded for two samples of people. One sample was from people in the age group of 20 years to 30 years, and the other sample was from people in the age-group of 40 years to 50 years. The five-number summaries are shown in the table. Minimum Q1 Median Q3 Maximum Age-Group (years) 20 to 30 60 71 72 75 84 40 to 50 60 70 73 76 85 The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-group 20 years to 30 years because they are either 1.5 times the interquartile range IQR greater than the upper quartile or 1.5 times the IQ R less than the lower quartile. Using the same method for identifying outliers, which of the three values are identified as outliers for the age- group 40 years to 50 years? (A)None of the three values is identified as an outller. (B)Only 60 is identified as an outlier. (C)Only 60 and 62 are identified as outliers, (D)Only 60 and 84 are identified as outliers, (E)The three values are all identified as outliers.
The three values (60, 62, and 84) are identified as outliers for the age group 40 years to 50 years is D. Only 60 and 84 are identified as outliers
we need to use the same method as for the age group 20 years to 30 years.
The interquartile range (IQR) for the age group 40 years to 50 years is calculated as follows:
Q3 - Q1 = 76 - 70 = 6
To identify outliers, we consider values that are either 1.5 times the IQR greater than the upper quartile (Q3 + 1.5 * IQR) or 1.5 times the IQR less than the lower quartile (Q1 - 1.5 * IQR).
For the age group 40 years to 50 years:
Upper limit = Q3 + 1.5 * IQR = 76 + 1.5 * 6 = 85
Lower limit = Q1 - 1.5 * IQR = 70 - 1.5 * 6 = 61
Now let's compare these limits with the three values:
60 is less than the lower limit (61), so it is considered an outlier.
62 is between the lower and upper limits, so it is not considered an outlier.
84 is greater than the upper limit (85), so it is considered an outlier.
Therefore, the values identified as outliers for the age group 40 years to 50 years are 60 and 84. The value 62 is not considered an outlier.
The correct answer is (D) Only 60 and 84 are identified as outliers.
By applying the same method of identifying outliers based on the 1.5 times IQR rule, we can determine which values fall outside the acceptable range for each age group. Therefore, Option D is correct
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Suppose Gina can spend a maximum of $150 for fabric for her project. To the nearest tenth, how many yards of each type of fabric could she buy? Write your answer as an inequality. Show your work.
The length restrictions for each fabric are described by the following inequalities:
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
How to determine an inequation related to the quantity of yards bought
In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:
BatikC = 9 · n (1)
LinenC = 8 · n (2)
Now we proceed to determine the maximum possible amount of fabric:
Batikn = 150/9
n = 16.67 yd
Linenn = 150/8
n = 18.75 yd
The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
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The ages of Michael, Flo, Ella and Arlo add
up to 60 years.
The ratio of Michael's age to Flo's age to
Ella's age to Arlo's age is 3:7:6:4.
How many years old is Flo?
PLEASE HELP ASAP
The age of Flo based on the ratio is 21 years.
How to calculate Flo's age?From the information illustrated, the ages of Michael, Flo, Ella and Arlo add up to 60 years and the ratio of Michael's age to Flo's age to 3:7:6:4.
In this case, Flo is represented as 7 and the total ratio is (3+7+6+4) = 20
Therefore the age will be:
= 7/20 × Total age
= 7/20 × 60.
= 21
Flo is 21 years
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edith tutors after school for which she gets paid at a rate of $20 an hour. she has also accepted a iob as a library assistant that pays $15 an hour. she will work both jobs, but she is able to work no more than a total of ll hours a week, due to school commitments. edith wants to earn ar reasr$185 a week working a combination of both jobs. which inequality can be used to represent the situation?
Inequality can be used to represent the situation is s + l <= 2 and 20s + 15l >= 185.
Given:
Edith tutors after school for which she gets paid at a rate of $20 an hour. she has also accepted a job as a library assistant that pays $15 an hour. she will work both jobs, but she is able to work no more than a total of ll hours a week, due to school commitments.
Edith wants to earn at least $185 a week working a combination of both jobs.
Let s and l be the hours of school and library.
s + l <= 2
20s + 15l >= 185.
Therefore Inequality can be used to represent the situation is s + l <= 2 and 20s + 15l >= 185.
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A quantity with an initial value of 670 decays continuously at a rate of 25% per hour.
What is the value of the quantity after 7 hours, to the nearest hundredth?
Answer:
89.43
Step-by-step explanation:
a = 670 * (1 * .25)^7
a = 670 * (.75)^7
a = 89.43
Solve
No links!!!
I will give brainlest
& send links get reported
Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6
Marshall bought 20 refills and sold them at $ 4 each. If it had cost $ 50 for the refills, what was his profit or loss percent
Answer:
$30 or 60%
Step-by-step explanation:
20 ×4= 80
80-50= 30
30/50= .6 , or 60%
If the perimeter of a square is 20 cm, what is its area?
Answer:
25cm
Step-by-step explanation:
each side is 5cm so multiple 5cm times 5cm then you get 25cm
Answer:
25cm^2
Step-by-step explanation:
P=4a
20=4a
a=5
A=a^2
A=5^2
A=25 cm^2
help this is my exit ticket HURRY LOTS OF POINTS
Answer:
The answer for this question ( ur exit ticket ) is C .
Answer:
C
Step-by-step explanation:
We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.
Looking at the options , the correct one is C because it shows that the number of pink paints made.
For instance, if we're to make 1 pink paint , we'll need 7 of white paint and 3 cups of red paint.
If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint
if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth
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9 is 150% of what number
Answer:
13.5
Step-by-step explanation:
150% × 9 =
(150 ÷ 100) × 9 =
(150 × 9) ÷ 100 =
1,350 ÷ 100 =
13.5
My proof :
If 150% × 9 = 13.5 =>
Divide 13.5 by 9... ... And see if we get as a result: 150%.
The M & P Pencil company that makes mechanical pencils expects to have three defective pencils for every 125 made. What is the number of defective pencils they will have in a batch of 1,375?
Answer:33
Step-by-step explanation:
1375÷125=11
11×3=33
Solve for the surface area and volume of the composite figure made of a right cone and a
hemisphere (half sphere).
The surface area of the composite figure is 1,665.04 in².
The volume of composite figure is 1,079.66 in³.
What is the volume of the composite figure?
The volume and surface area of the composite figure is calculated by applying the following formula as shown below;
The surface area = area of cone + area of hemisphere
S.A = πr(r + l) + 3πr²
S.A = π x 10 (10 + 13) + 3π(10²)
S.A = 1,665.04 in²
The volume of composite figure is calculated as follows;
V = ¹/₃πr²h + ²/₃πr²
The height of the cone is calculated;
h = √(13² - 10²)
h = 8.31 in
V = ¹/₃π(10)²(8.31) + ²/₃π(10)²
V = 870.22 + 209.44
V = 1,079.66 in³
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what is the number of distinguishable permutations of the letters in the word, POTATO
Answer:
720
Step-by-step explanation:
Potato has 6 letters
6!/2!×2!
6×5×4×3×2/2×2
llene is making bows for gift wrapping. She uses 1 feet of ribbon for each 3 bow. How much ribbon will she need to make 12 bows?
Answer:
4 feet
Step-by-step explanation:
Because if she used 1 feet of ribbon for 3 bows you need to multiply by 4 to 1 foot and you will get 12 bows
Answer:
4 feet of ribbon
Step-by-step explanation:
Because she uses 1 feet of ribbon for each 3 bows, we can create a fraction.
1 ft / 3 bows = x ft / 12 bows
Cross multiplying, we get: 3x = 12
Divide by 3 and we get x = 4 (x in this case is in feet)
for the probability distribution of a discrete random variable x, the sum of all values of x must be
For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.
We have,
The sum of all values of a discrete random variable x in its probability distribution should be equal to 1 because the probability distribution represents the likelihood of each possible value occurring.
In other words, the probabilities assigned to each value of x should account for all possible outcomes and collectively add up to the total probability of 1, which represents the certainty or 100% likelihood of an event occurring.
In a probability distribution, each value of x has an associated probability assigned to it.
These probabilities must satisfy two conditions: they must be non-negative (greater than or equal to 0) and their sum must be equal to 1. This ensures that the total probability accounts for all possible outcomes and covers the entire sample space.
By summing up the probabilities for all values of x in the probability distribution, we can verify if they add up to 1. If the sum is not equal to 1, it implies that there is an error in the probability distribution, and it needs to be adjusted to meet the requirement of a valid probability distribution.
Thus,
For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.
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The complete question:
For the probability distribution of a discrete random variable x, the sum of all values of x must be?