Answer:
20π in.
Step-by-step explanation:
The central angle of minor arc SV is θ = 5π/6 radians, which is 150 degrees. The length of a minor arc is given by the formula s = rθ, where r is the radius of the circle. Substituting r = 24 in. and θ = 5π/6, we get:
s = 24 × 5π/6 = 20π in.
Therefore, the length of minor arc SV is 20π in.
!! WILL GIVE BRAINLIST !!
Look at the picture and name the term that BEST describes the notation:
Common internal tangent
point of tangency
Center
chord
secant
diameter
common external tangent
radius
semi-cirele
Major arc
Minor arc
Answer:
1. diameter
2. semi-circle
3. point of tangency
4. common internal tangent
5. major arc
6. radius
7. center
8. common external tangent
9. secant
10. chord
11. minor arc
Step-by-step explanation:
You want to identify the elements of the diagram by name.
Common internal tangent — HJ, the line through the point of tangency where two circles touch each other, where neither center is in the other circle.
point of tangency — G (or K or F), a single point where an external geometry touches a circle.
Center — A (or B), the point equidistant from all those on a circle.
chord — GK, a line segment whose endpoints lie on the same circle.
secant — CD, a line that has two points of intersection with a circle.
diameter — EF, a chord that passes through the center of the circle.
common external tangent — KF, a line that is tangent to two circles that are external to each other. It does not cross the line segment between the circle centers.
radius — BF (or BE), a line segment from the circle center to a point on the circle.
semi-circle — arc EGF, an arc whose measure is 180°.
Major arc — arc CDK (or CKD, or GCK, or DCG), an arc whose measure is more than 180°.
Minor arc — CK (or CD, or GD, or GK, or GE, or GF), an arc whose measure is less than 180°.
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A bag of tokens contains 9 red, 4 green, and 6 blue tokens. What is the probability that a randomly selected token is red and green? Enter your answer as a fraction.
The probability that a randomly selected token is red and green is 27/200.
What is probability that the randomly selected token is red and green?The total token = 9 red + 6 green + 5 blue
The total token = 9 + 6 + 5
The total token = 20
There are 9 red and 6 green.
So, 9 out of 20 is red and 6 out of 20 is green
Let set up an equation:
9/20 × 6/20
= 54/400
= 27/200.
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Help asap 50pts !!!!
Answer:
h (-2) = -2.6 (repeating)
h(2) =2
h(5) = 4.3 (repeating)
Step-by-step explanation:
for h(-2)
= [tex]\frac{1}{3} (-2^{2} )-4\\\\\frac{1}{3} *4-4\\\\\frac{4}{3} -4=-2.6[/tex]
for h(2)
x = 2, so h(2) = 2
for h(5)
[tex]\frac{1}{3} (5^{2} )-4\\\\\frac{1}{3} *25-4\\\\\frac{25}{3} -4\\\\=4.3[/tex]
b. The sum of two consecutive integers is 109. Determine the integers in 4 steps.
Step 1:
Step 2:
Step 3:
Step 4:
The value of the first and second integers are 54 and 55 respectively.
What are the consecutive integers?Let
First integer = x
Second integer = x + 1
Sum of the integers = 109
So,
First integer + Second integer = Sum of the integers
x + (x + 1) = 109
x + x + 1 = 109
2x + 1 = 109
Subtract 1 from both sides
2x = 109 - 1
2x = 108
divide both sides by 2
x = 108/2
x = 54
Ultimately,
First integer = x
= 54
Second integer = x + 1
= 54 + 1
= 55
Therefore, the solution in 4 steps are;
Step 1: x + (x + 1) = 109
Step 2: 2x + 1 = 109
Step 3: 2x = 108
Step 4: x = 54
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Solve for X
15 + x = y
Which expression is equivalent to
Help ‼️‼️‼️
The equivalent expression to 2/3 - 1/4x + 1/2x - 1/6 is given as follows:
1/2 + 1/4x.
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify an expression.
The expression for this problem is defined as follows:
2/3 - 1/4x + 1/2x - 1/6.
The like terms are simplified as follows:
2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2.-1/4x + 1/2x = -1/4x + 2/4x = x/4.Hence the simplified expression is given as follows:
1/2 + 1/4x.
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Linear Equations-Need help on this problem
(4, -2) is the solution of the given system of equations
The given system of linear equations are
2x-12y=16
4x-19y=22
The missing number in 1st step is 1/2
The missing number in 2nd step is -4
The missing number in 3rd step is 1/5
The missing number in 4th step is 6
The solution of the equation is 4 and -2
Hence, (4, -2) is the solution of the given system of equations
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Multiplication 1 / 12 of 1
Answer:
1 / 12
Step-by-step explanation:
" of " here means multiply
1 / 12 x 1
= 1 / 12
What is the sum of 2/9 + 4/9
please help it's easy
The order of the steps which can be used to determine an unknown value using proportion method is as follows:
Option B ---> D---> E---> A----> C.
What is a ratio?A ratio can be defined as the expression that compares the quantity of a value that can be found in another value.
The correct step that can be used to find the a missing value when proportion method is used is as follows;
Step 1: Identify the two quantities being compared
Step 2: Write the ratio for the two known quantities
Step 3: Write a ratio that has the unknown and the know quantity.
Step 4: Equate the two ratios
Step 5: Cross multiply and solve for the unknown quantity. Describe the solution.
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A contractor claims that she finishes a job on time 90% of the time. Last month, she only completed 7 out of her 10 jobs on time. To see if this is surprisingly low, a simulation was conducted 100 times under the assumption that she really does complete 90% of her jobs on time.
The dotplot contains 100 trials of this simulation.
A dotplot titled jobs completed on time has number of jobs completed on the x-axis, and frequency on the y-axis. 5, 1; 6, 3; 7, 15; 8, 26; 9, 45; 10, 11.
Based on this dotplot and the sample of last month’s on-time completions, which conclusion can be drawn?
The contractor’s true, on-time completion rate is only 50%.
It is most likely that the contractor will complete about 9 out of 10 jobs.
If we used a larger sample size of 40 jobs, the simulated dotplot would be different; therefore, we cannot draw a conclusion.
The dotplot does not provide convincing evidence that her true, on-time completion rate is less than 90% because 7 or fewer on-time completions happened 19% of the time in the simulation.
It is likely that the contractor's true, on-time completion rate is still around 90%.
Based on the provided dot plot and the sample of last month's on-time completions, the conclusion that can be drawn is:
The dot plot does not provide convincing evidence that the contractor's true, on-time completion rate is less than 90% because 7 or fewer on-time completions happened 19% of the time in the simulation.
This means that the observed 7 out of 10 jobs completed on time in the last month is not significantly different from what would be expected based on the assumption of a 90% completion rate.
Therefore, it is likely that the contractor's true, on-time completion rate is still around 90%.
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Jess purchases a $6,815 dining room set. She can’t afford to pay cash, so she uses the
installment plan, which requires an 20% down payment. How much is the down payment?
The down payment would be 20% of the total cost of the dining room set, which is $6,815. So, the down payment would be $1,363.
To calculate the down payment, we'll use the following steps:
1. Determine the total cost of the dining room set, which is $6,815.
2. Find the percentage of the down payment, which is 20%.
3. Multiply the total cost by the percentage to find the down payment amount.
Using these steps, we can calculate the down payment:
Down payment = Total cost × Down payment percentage
Down payment = $6,815 × 0.20
Down payment = $1,363
So, Jess's down payment for the dining room set is $1,363.
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Please if you know the answer tell me it and the steps also thank you.
Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.
Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..
The half-time performance of a marching band includes a performance in which the band members form a circle with
point J at the center. This formation can be modeled by the equation x^2 + y^2 + 10x - 12y - 83 = 0.
What are the coordinates for the point J?
The coordinates for the point J are (-5, 6).
The radius 12 represents the center of the circle from each band member to the edge of the circle.
The domain of the circle is -17 ≤ x ≤ 7.
The range of the circle is -6 ≤ y ≤ 18.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.From the information provided above, we have the following equation of a circle:
x² + y² + 10x - 12y - 83 = 0
x² + 10x + y² - 12y = 83
x² + 10x + (10/2)² + y² - 12y + (-12/2)² = 83 + (10/2)² + (-12/2)²
x² + 10x + 25 + y² - 12y + 36 = 83 + 25 + 36
(x + 5)² + (y - 6)² = 144
(x + 5)² + (y - 6)² = 12²
Therefore, the center (h, k) is (-5, 6) and the radius is equal to 12 units.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = [-17, 7] or -17 ≤ x ≤ 7.
Range = [-6, 18] or -6 ≤ y ≤ 18.
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find the prime factorization of 819
Answer:
Step-by-step explanation:
start by listing the prime numbers which are {2,3,5,7,11,13...}
now we need to find the divisibility test of 819 it can't be divisible by 2 so we shall go for 3 let check
divisible by 3
a number is divisible by 3 if when the digits are added it gives a number which is a multiple of 3
check divisible by 3
819=8+1+9=18
18÷3=6
18 is divisible by 3
now divide 819 by 3 getting 273
273=2+7+3=12
12 is divisible by 3
273÷3=91
91 is not divisible by 3 so we try the other numbers 5
a number is divisible by 5 if only the last digit is a 0 or 5
and 91 doesn't end with 0 or 5 so it is not divisible by 5
divisible by 7
a number is divisible by seven only when u remove the last digit, double it then subtract it from the remaining number and get a multiple of 7
the best way of finding the divisibility of seven is by long division
91÷7=13
we have 13 and 13 is a prime number
13÷13=1
now let's multiply the factors
3×3×7×13=819
therefore the factors are {3²,7,13}
To find the prime factorization of 819, we divide by prime numbers until we can no longer divide. The prime factorization of 819 is 3 x 3 x 7 x 13.
Explanation:To find the prime factorization of 819, we need to determine the prime numbers that multiply together to give 819. We start by dividing 819 by the smallest prime number, which is 2. Since 819 is an odd number, it is not divisible by 2. So, we move on to the next prime number, which is 3. 819 divided by 3 gives us 273.
Next, we continue dividing 273 by prime numbers until we can no longer divide. Dividing 273 by 3 again gives us 91. Continuing this process, we divide 91 by 7 to get 13. Since 13 is a prime number, we cannot further divide it.
Therefore, the prime factorization of 819 is 3 x 3 x 7 x 13.
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This is a extra credit, I NEED HELPP, it needed by tomorrow
I HAVE TO FIND < JKL
By using the property of incenter, measures of the sides and the angles will be,
JK = 21.2 units
KL = 26.63 units
JL = 28.33 units
m ∠K = 36°
Since, By the property of incenter,
PM = PN = PO = 7 units
∠MJP = ∠OJP = 32°
∠NLP = ∠OLP = 22°
By the triangle sum theorem,
m∠JKL + m∠KLJ + m∠LJK = 180°
2(m∠NKP) + 2(m∠NLP) + 2(m∠MJP) = 180°
2(m∠NKP) + 2(22°) + 2(32°) = 180°
2(m∠NKP) = 180° - 108°
m∠NKP = 36°
From ΔJMP,
tan(32°) = MP / MJ
tan(32°) = 7/MJ
MJ = 11.20
From ΔPOL,
tan(22°) = OP / OL
tan(22°) = 7/OL
OL = 17.33
From ΔKNP,
tan(36°) = NP / KN
tan(36°) = 7 / KN
KN = 9.63
Therefore, We get;
JK = JM + MK = 21.2 units
KL = LN + KN = 26.63 units
JL = JO + OL = 28.33 units
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Mandy sells computers for a company called computer world. she earns 5% commission on her sales. Her commission last month was $700. What was Mandys total sales fot that month.
Answer: Mandy sold 14,000$ in total sales
Step-by-step explanation: Divide the 5% and the 700, to get a total of 140, then multiply by 100. Hope this helps!
After x hours of rainfall today, Yvette recorded the amount of rain in inches, y, in a rain gauge. The table shows the
linear relationship for the recorded rainfall.
Rain Gauge
Time, x (hours)
3 4 5
Amount of Rain in Gauge, y (inches) 3.75 4.5 5.25
How many inches of rain was in the gauge before the rain began today, and what was the rate at which the rain fell
in inches per hour?
A. There was 0 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.
B. There was 2.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.
C. There was 3 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inch per hour.
D. There was 1.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inch per hour.
The correct option is D, There was 1.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inch per hour.
How to write the linear equation?A general linear equation is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We can use the first two points:
a = (4.5 - 3.75)/(4 - 3)
a = 0.75
Then we can write:
y = 0.75x + b
replacing the values of the first point we will get:
3.75 = 0.75*3 + b
3.75 - 0.75*3 = b = 1.5
Then the rate is 0.75 and the initial amount is 1.5
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HELPP PLEASEE!
A) Step 3
B) Step 2
C) No flaws
D) Step 1
The step with the proof that has a flaw is Step 2, AB ≅ BC, Symmetric Property.
How to prove flaw?Step 2 is the flaw in the proof. The symmetric property states that if AB = BC, then BC = AB. It does not justify that AB = BC in the first place.
Therefore, the proof needs additional steps to justify that AB and BC are congruent. One possible way to do this is to use the definition of a midpoint and the segment addition postulate as follows:
Step 1 | B is the midpoint of AC | Given
Step 2 | AB + BC = AC | Segment Addition Postulate
Step 3 | AB + AB = AC | Definition of midpoint (since B is the midpoint of AC)
Step 4 | 2AB = AC | Simplification
Step 5 | AB = AC/2 | Division Property of Equality
Step 6 | AB = BC | Substitution Property of Equality
Step 7 | _____ | Q.E.D.
Step 6 follows from the fact that B is the midpoint of AC, so AC = 2AB. Substituting AC/2 for AB in Step 2 gives AB + BC = AC/2 + BC, which simplifies to AB = BC. Therefore, Step 6 uses the transitive property of equality, which is a valid property of equality.
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What is the volume of the pyramid?
Answer: 11100 m
Step-by-step explanation: I'm Walter H. White
what is the apothem of a hexagon with a radius of 8?
6.928 units is the apothem of a hexagon with a radius of 8.
The apothem of a regular hexagon is the distance from the center to the midpoint of a side. For a regular hexagon with a radius of 8, the apothem can be found using the formula:
apothem = radius x √3/2
Substituting the given value of the radius, we get:
apothem = 8 x √3/2
apothem = 8 x 1.732/2
apothem = 6.928
Therefore, the apothem of the hexagon is 6.928 units.
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Can someone help me please
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex] is matrix obtained by multiplying row 3 by 2
[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\6&-5&-2&-3\end{array}\right][/tex] is obtained by interchanging row 3 and row 1
The given augmented matrix is [tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2&5&-6&-4\end{array}\right][/tex]
The first row operation is given that multiply row 3 by 2
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2(2)&5(2)&-6(2)&-4(2)\end{array}\right][/tex]
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]
Now let us find the matrix by interchanging row 3 and row 1
[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\6&-5&-2&-3\end{array}\right][/tex]
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The decimal number corresponding to the number [2001]11 is
The decimal number that corresponds with the number [ 2001 ] 11 would be A. 2663
How to find the decimal number ?To convert the number [2001]11 to a decimal number, we can use the formula:
Decimal number = a0 + a1 x b¹ + a2 x b ² + ... + an x b ⁿ
Given the number, [ 2001 ] 11, we would have :
a0 = 1
a1 = 0
a2 = 0
a3 = 2
b = 11
With the formula, the decimal number corresponding to the number would be:
Decimal number = 1 + 0 x 11 ¹ + 0 x 11 ² + 2 x 11 ³
Decimal number = 2663
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the triangle below has an area of 12 units. Find the missing length
Answer:
Step-by-step explanation:
How are conditional probability and independent events related? Select the correct phrase or notation from each drop-down menu to complete the explanation. The notation P(The lights go out|There is a thunderstorm outside) reads the probability Choose... . If two events are Choose... , then the probability of one doesn't affect the other. The two events are independent if the probability Choose... is equal to the probability that the lights go out and the probability Choose... is equal to the probability that there is a thunderstorm outside.
The notation P(The lights go out|There is a thunderstorm outside) reads the probability of "The lights go out" given "There is a thunderstorm outside."If two events are independent, then the probability of one doesn't affect the other.
The two events are independent if the probability P(The lights go out) is equal to the probability that the lights go out and the probability P(There is a thunderstorm outside) is equal to the probability that there is a thunderstorm outside.
Conditional probability and independent events are related in the sense that if two events are independent, then the conditional probability of one event occurring given the other event is simply the probability of the first event happening. In other words, if events A and B are independent, then P(A|B) = P(A).
On the other hand, if two events are dependent, then the conditional probability of one event occurring given the other event is different from the probability of the first event happening. The conditional probability takes into account the additional information provided by the occurrence of the second event.
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What is minus+minus =
Answer:
plus (+)
Step-by-step explanation:
Assume there is a number such as 1 after the minus:
[tex] - 1 + ( - 1) = - 2[/tex]
Thus - (+) - = +, since they add the minuses.
find the median and mean of the data set below: 37 , 27 , 1, 31 ,27 ,40, 47
Answer:
Mean and Median 30 and 31 respectively.
Step-by-step explanation:
Mean refers to average of all the observations.
Mean = Sum of all the observations/ Total no. of observations
Mean = 37 + 27 + 1 + 31 + 27 + 40 + 47/ 7
= 210 / 7
= 30
Median refers to middle most value of the series.
In order to find median we need to arrange the given data in ascending order i.e. smallest to largest.
We get,
1, 27, 27, 31, 37, 40, 47
When the no. of observations is odd: (n + 1/ 2)th term
= 7 + 1/ 2
= 4th term
Therefore, Median is 31.
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The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 275 U.S. adults is selected. Round your answers to at least four decimal places as needed.
This means that, based on the National Coffee Association's data, we would expect approximately 168 out of the 275 U.S. adults in the sample to drink coffee daily.
To analyze the random sample of 275 U.S. adults, we can use the information provided by the National Coffee Association, which states that 61% of U.S. adults drink coffee daily.
To find the expected number of U.S. adults in the sample who drink coffee daily, we multiply the sample size (275) by the percentage of U.S. adults who drink coffee daily:
Expected number = 275 * 0.61 = 167.75
The expected number of U.S. adults in the sample who drink coffee daily is 167.75. However, since the number of individuals cannot be a fraction, we round the result to the nearest whole number:
Expected number ≈ 168
This means that, based on the National Coffee Association's data, we would expect approximately 168 out of the 275 U.S. adults in the sample to drink coffee daily.
Please note that the rounding process is necessary because the number of individuals in the sample should be a whole number.
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Belle and her friends are planning a weekend trip to Isle of Palms, South Carolina! They can
rent either a sedan or a fuel-efficient SUV for the trip. The sedan will cost $180 to rent, while
the SUV will cost $200. Belle estimates that the sedan will cost $0.11 per mile in fuel, while
the SUV will cost about $0.06 per mile.
The SUV is the more cost-effective choice for the trip than Sedan
To determine which vehicle is the more cost-effective choice for the trip, Belle needs to consider both the rental cost and the fuel cost for each option.
Let's assume the trip is a round-trip of 500 miles.
For the sedan:
Rental cost: $180
Fuel cost: 500 miles x $0.11/mile = $55
Total cost: $180 + $55 = $235
For the SUV:
Rental cost: $200
Fuel cost: 500 miles x $0.06/mile = $30
Total cost: $200 + $30 = $230
Based on these calculations, the SUV is the more cost-effective choice for the trip.
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Answer:
400
Step-by-step explanation:
The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2.
When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time. Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times?
Select one:
a. A larger sample size was used.
b. The 100 tosses were controlled better.
c. The expected probability changed when the cube was rolled 100 times.
d. The thrower considered only the even rolls, and disregarded the odd rolls.
After considering the given set of options we conclude that a large sample was used in the evaluation, which means the correct option is Option A.
1/2 is the evaluated expected probability for the given case under the condition that when the die was rolled an even number came out with face number 1 out of 6.
In the event that the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. Now the same cube was again rolled 100 times, an even number came up on the recent throw which showed 51 times even, or almost 1/2 the time.
Therefore we can say that the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times because a larger sample size was used.
Hence we are dealing with larger sample size, this means that the actual results will be much closer to the expected probability.
This is due to the law of large numbers which states that as the sample size increases, the average of the results will get closer and closer to the expected value .
Therefore, option (a) is correct.
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