Find the measure of an interior angle (n-2)180 of regular hexagon(6). Round to the nearest tenth if necessary.
Answers
a hexagon has 6 interior angles
the sum of the interior angles in a hexagon= 720
720/6=120
one interior angle in a hexagon = 120
Related Questions
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
Answers
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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What is the surface area of a sphere with diameter 8 cm?
Answers
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
Log5x-log4=2 solve the equation
Answers
Answer:
x = 80
Step-by-step explanation:
using the rules of logarithms
log x - log y = log (\(\frac{x}{y}\) )
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
given
log5x - log4 = 2
log (\(\frac{5x}{4}\) ) = 2
note that log is actually \(log_{10}\)
then
\(log_{10}\) ( \(\frac{5x}{4}\) ) = 2
\(\frac{5x}{4}\) = 10² = 100 ( multiply both sides by 4 to clear the fraction )
5x = 400 ( divide both sides by 5 )
x = 80
If you look at these six numbers, you can see they range from 98 all the way to 642. Would the best interval to use for this group be 10 or 100?
Answers
If you look at the six numbers (101, 203, 407, 512, 98, 642) you can see they range from 98 all the way to 642. the best interval to use for this group be 100.
What is the range?The right interval to utilize for this set of numbers depends on the aim of the analysis.
If we want to look on the single values and small differences between them, then using interval of 10 would be more better. This would give u room to see small changes that exist between adjacent numbers.
So, in the event that we need to look on the full range and distribution of the numbers, an interval of 100 would be more better. This would permit us to see how the numbers are shared over a larger area of values.
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See full question below
If you look at these six numbers, you can see they range from 98 all the way to 642. Would the best interval to use for this group be 10 or 100?
101, 203, 407, 512, 98, 642
Hi can anyone help me with this much appreciate j
Answers
For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
As given in the question,
Rules to round of nearest thousand are:
Check the near by hundred digit :
If the hundred digit is 5 or more than 5 than round up that is write next digit. If the hundred digit is less than 5 than round down.Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :
Events Nearest thousand
Dart Domination cup : $169,000Boadicea's basketball league : $40,000The Rub-a-Dub Club Reggae band : $215,000Agent Green : $65,000Britney Pitchfork : $224,000Sunshine Droops : $111,000
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Bill wanted to try out different water craft. He went 42 miles downstream in a motor boat and 76 miles downstream on a jet ski. His speed on the jet ski was 20 mph faster than in the motor boat. Bill spent a total of 4 hours on the water. What was his rate of speed, in miles per hour, in the motor boat
Answers
The rate of speed of the motor boat is 20 mph
Explanation:The distance of the motor boat = 42 miles
The distance of the jet ski = 76 miles
let the speed of the motor boat = s
the speed of the jet ski = 20mph faster than the motor boat
the speed of the jet ski = 20 + s
Total time spent = 4 hours
To get the speed of the motor boat, we will apply the formula:
\(\begin{gathered} speed\text{ = }\frac{distance}{time} \\ time\text{ = }\frac{distance}{speed} \end{gathered}\)Time for motor boat:
time = 42/s
Time for the jet ski:
time = 76/(20 + s)
Total time = time for the motor boat + time for the jet ski
\(\begin{gathered} Total\text{ }time\text{ = }\frac{42}{s}\text{ + }\frac{76}{20\text{ + s}} \\ 4=\frac{42}{s}\text{ + }\frac{76}{20\text{ + s}} \\ \\ 4\text{ = }\frac{42(20\text{ + s\rparen + 76\lparen s\rparen}}{s(20\text{ + s\rparen}} \\ 4\text{ = }\frac{840\text{ + 42s + 76s}}{20s\text{ + s}^2} \\ 4(20s\text{ + s}^2)\text{ = 840 + 42s + 76s} \\ 80s\text{ + 4s}^2\text{ = 840 + 118s} \end{gathered}\)\(\begin{gathered} 4s^2\text{ + 80s - 118s - 840 = 0} \\ 4s^2\text{ - 38s - 840 = 0} \\ \\ divide\text{ both sides by 2:} \\ 2s^2\text{ - 19s - 420 = 0} \end{gathered}\)\(\begin{gathered} factorize\text{ 2s}^2\text{ - 19s - 420 = 0} \\ 2s^2\text{ - 40s + 21s - 420 = 0} \\ 2s(s\text{ - 20\rparen + 21\lparen s - 20\rparen = 0 } \\ (2s\text{ + 21\rparen\lparen s - 20\rparen = 0} \\ 2s\text{ + 21 = 0 or s - 20 = 0} \\ 2s\text{ = -21 or s = 20} \\ s\text{ = -21/2 or s = 20} \\ s\text{ = -10.5 or s = 20} \end{gathered}\)Since we can't have a negative number as speed, the speed will be 20 mph
The rate of speed of the motor boat is 20 mph
The following table (Table C2.1) is a partial listing of the sales transactions for the Watson Distributing Company for the year ended December 31, 200X. Select the first three sample items from the population using the following techniques. a. The systematic selection technique with a random starting point of 13 and a sampling interval of 30. b. The probability-proportional-to-size sampling selection technique with a random starting dollar of $17,240 and a sampling interval of $220,000. c. The random-number table selection technique using Figure 2.1 on pp. 24-25. Using the last four digits of the invoice number, begin at row (0004) and column (01), continuing across the row and then down to the beginning of the next row.
Answers
The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.
Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.
Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.
The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.
The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.
The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.
The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.
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(cscx+sexc)/(sinx + cosx) = cotx + tanx
Answers
It is true. The trigonometric identity \(\frac{cscx+secx}{sinx + cosx}\) = cotx + tanx
How do we verify or prove that the trigonometric identity (cscx+secx)/(sinx + cosx) = cotx + tanx?To verify that (cscx+secx)/(sinx + cosx) = cotx + tanx
csc = \(\frac{1}{sin}\) and Sec = \(\frac{1}{cos}\)
If we insert the values, it would be
\(\frac{ 1/sinx + 1/cosx}{sinx + cosx}\)
= \(\frac{cosx + sinx}{sinx * cosx}\) ÷ (\(\frac{1}{sinx + cosx}\))
= \(\frac{1}{sinx * cosx}\)
\(\frac{Sin^2 x + Cos^2x}{Sin x Cos x}\) = \(\frac{Sin^2x}{SinxCosx}\) + \(\frac{Cos^2x}{SinxCosx}\)
= cotx + Tanx
Mind you
cotx = \(\frac{1}{tanx}\) = \(\frac{cosx}{sinx}\)
tanx = \(\frac{sinx}{cosx}\)
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PLEASE HELP. When solving the equation, what property was used to go from Step 2 to Step 3?
Step 1: -(2x + 3) = x - 18
Step 2: -2x - 3 = x - 18
Step 3: -3 = 3x - 18
Answers
9514 1404 393
Answer:
addition property of equality
Step-by-step explanation:
The addition property of equality is used to add 2x to both sides of the equation:
-2x +2x -3 = x +2x -18 . . step 2 with 2x added
-3 = 3x -18 . . . . . . . . . . . . step 3 (simplified)
When solving this problem, what is the first step you would need to do? 3 (4x - 5) = 10 Add 5 Divide by 4 Distribute the 3 Subtract 4x - 5
Answers
Answer:
Distribute the 3
Step-by-step explanation:
order of operations mate
What is the goal of a proof by contradiction?
A. The truth of the statement cannot be determined, so the proof is
invalid.
B. The contradiction of the statement is proven false, so the original
statement is therefore proven true.
C. The contradiction of the statement cannot be determined, so the
proof is invalid.
D. The contradiction of the statement is proven true, so the original
statement is therefore proven false.
SUBMIT
Answers
Answer:
B. The contradiction of the statement is proven false, so the original
statement is therefore proven true.
Step-by-step explanation:
We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.
Answer: C
Step-by-step explanation: Your statement is wrong and you continue to answer it until you the result is a contradiction.
The graph below represents the linear equation y = one-half x minus 3. On a coordinate plane, a line goes through (0, negative 3) and (6, 0). A second linear equation is represented by the data in the table. x y –1 1 0 0 2 –2 3 –3 What is the solution to the system of equations? (–2, –4) (1, –1) (2, –2) (4, –4)
Answers
Answer:
(2, -2)
Step-by-step explanation:
Plotting the points from the table onto the graph of the line, you see the lines intersect at (2, -2).
The solution to the system of equations is (2, -2).
Answer:
(2, -2)
Step-by-step explanation:
The person above me explains it with a graph
Solve for x: −7 x > 9
Answers
There's not much to do here.
-7x > 9
Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.
x < -9/7
Done.
You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the product be?
Answers
Answer:
0
Step-by-step explanation:
It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.
I hope this could help you.
Answer:
0
Step-by-step explanation:
any multiple of 5 ends in 5 or 0
it cant end in 5 as then it wouldn't be an even number
so its 0
Calculate the lengths of the 2 unlabeled sides. GJ?
Answers
Answer:
Length of hypotenuse JH = 9.2 unit (Approx.)
Length of perpendicular JG = 6.5 unit
Step-by-step explanation:
Given:
Length of base GH = 6.5 unit
Angle of H = 45°
Find:
Length of perpendicular JG
Length of hypotenuse JH
Computation:
Using trigonometry function:
Tan θ = Perpendicular / Base
Tan 45 = Perpendicular / 6.5
1 = Perpendicular / 6.5
Perpendicular = 6.5
Length of perpendicular JG = 6.5 unit
hypotenuse = √perpendicular² + base²
Length of hypotenuse JH = √6.5² + 6.5²
Length of hypotenuse JH = √42.25 + 425.25
Length of hypotenuse JH = √84.5
Length of hypotenuse JH = 9.1923
Length of hypotenuse JH = 9.2 unit (Approx.)
Can you please help.
Answers
Answer:
Step-by-step explanation:
Comment
The base in this question is z. Both the factors have a base of z. Therefore you solve the problem by adding the powers and leave the base as z.
Answer
z^10 * 2^10 = z^(10 + 2) = z^12
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
Answers
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Can someone help me?
Answers
Y=-x+3 is the slope-intercept form equation for the line.
What is meant by slope?The slope or gradient of a line is a numerical representation of a line's steepness and direction in mathematics. The reason for this usage is unknown, although it first appears in English in O'Brien (1844), who wrote "y = mx + b," and in Todhunter (1888), who wrote "y = mx + c." The letter m is widely used to signify slope.
The slope can be calculated by comparing the "vertical change" to "horizontal change" between any two distinct points on a line. In cases when the ratio is expressed as a quotient ("rise over run").
From the above graph,
The line is passing through the points (-1, 4) and (3, 0)
Let the slope intercept form be
y= mx +c
Slope m=(0-4/3+1)
=-4/4
= -1
y= -x+c
The equation is passing through the point (3, 0)
-3+c=0
c=3
y= -x+3
Therefore, y=-x+3 is the slope-intercept form equation for the line.
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A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
Answers
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
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similarities between the Product Rule and Quotient Rule?
Answers
Step-by-step explanation:
Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions.
please help it’s due tomorrow
[x + y = -4
[x - y = 2
Answers
Answer:
which one substitution or elimination
Step-by-step explanation:
Substitution: (-1,-3 )
Elimination: (-1,-3)
i hope this helps you :)
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How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answers
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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For the smart people please with work too thanks. determine the slope and y intercept of each graph.Then write the equation of the line in slope intercept forms.
Answers
Answer:
slope (m) = -3/2
y intercept (b) = -2
equation = y = -3/2x-2
Step-by-step explanation:
You can see that the line is negative. Using the rise/run method, you can find out the slope which is -3/2. To find the y intercept, find the point where the line crosses the y axis. Connect this info to make the equation.
Isosceles trapezoid KRWT is shown
Given KRWT is an isosceles trapezoid with KR and TW
Prove: WK = TR
An incomplete two-column proof is shown
Answer Choices:
-
-
-
-
What is the missing statement in step 3
More info is in the picture
Thank you for any help!
Answers
The supportive statement regarding the trapezoid based on the information is m∠WKT ≅ m∠TRW.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
The non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The missing statement to support all other statements would be that m∠WKT ≅ m∠TRW as the angle formed by the pair of the corresponding sides is equal.
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pls helpppppppp meee i dont wanna faillll
Answers
Answer:
D, No trend or association
What is the slope of the line y=-4
Answers
Answer:
slope is 0
Step-by-step explanation:
the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0
(PLEASE ANSWER ASAP)
Answers
Answer:
alternate interior angles are congruent
round 5.638 to the nearrest tenth
Answers
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
seven less than the product of two and number is 18
Answers
Answer:
12.5
Step-by-step explanation:
Product means to multiply.
2x -7 = 18
2x = 25
x = 12.5
Hope that helps
3 1/5 + 1 2/5) + 4 4/5 =
Answers
Answer:
9 2/5 or 9.4
Step-by-step explanation:
(3 1/5 + 1 2/5) + 4 4/5
(4 3/5) + 4 4/5 =
8 7/5
1 = 5/5
7/5 = 1 2/5
8 + 1 /25 = 9 2/5