Answer:
G?
Step-by-step explanation:
find the perimeter of this figure to the nearest hundredth use 3.14 to approximate pi P=?ft
Answer:
Step-by-step explanation:
perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle
= 2(l+B) + \(\pi\) r
= 2( 10+8) + 3.14 × 5
= 36 + 15.7
= 51.7
= 100 ( rounding off to nearest hundredth )
hope this helps
plz mark it as brailiest!!!!!!
Answer:
48.57 ft
Step-by-step explanation:
Perimeter of Rectangle:
=> 2L+2B
Where L is length and B is Breadth
=> 2(10)+2(8)
=> 20+16
=> 36 ft
Here, Perimeter of Semi-circle:
=> πD/2
Where D = 8
=> (3.14)(8)/2
=> 12.57 ft
Perimeter of the figure
=> 36+12.57 = 48.57 ft
someone help? thanks <3
Answer:
10^2 +6/2
100+3
103
Step-by-step explanation:
Answer:
103
Step-by-step explanation:
\( {a}^{2} + \frac{6}{b} \\ \\ = {(10)}^{2} + \frac{6}{2} \\ \\ = 100 + 3 \\ \\ = 103\)
Suppose a golf club company has designed a new club, which it claims will allow a professional golfer to make a hole in 120% of the time and an amateur golfer 10% of the time. Professional an amateur golfers sign up to play 5 games of 18 holes each
A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.
First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:
Let p be the probability that a professional golfer makes a hole with the new club.
Let q be the probability that an amateur golfer makes a hole with the new club.
According to the company's claims, we know that:
p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)
Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:
The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: \(1 - (1-p)^{18} .\)
The probability that an amateur golfer makes at least one hole in a round is\(1 - (1-q)^{18} .\)
Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:
The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-p)^{18} )\times18.\)
The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-q)^{18} )\times18.\)
We can simplify these expressions using the relationship between p and q:
The expected number of holes made by a professional golfer in 5 rounds is \(518(1 - (1-1.2q)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ).\)
We can now evaluate these expressions using the values of p and q:
\(p = 1.2q, so q = p/1.2\)
Substituting this into the expressions above, we get:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-p/1.2)^{18} ).\)
Finally, we can evaluate these expressions using the given probabilities:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.\)
So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6
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In the given figure, triangle QPS = triangle SRQ.Find each value.
(a) x (b)angle PQS (c)angle PSR
In the given figure, where triangle QPS = triangle SRQ, the value of
a. x = 47°
b. ∠PQS = 32°
c. ∠PSR = 74°
What is a triangle?A triangle is a 3-sided polygon that is occasionally (though not very frequently) referred to as the trigon. Every triangle has three sides and three angles, some of which might be the same.
In a right triangle, the two sides opposite the right angle are referred to as the hypotenuse, and the other two sides are referred to as the legs. All triangles are bicentric and convex. The triangle's interior is that part of the plane it encloses; the exterior is the rest.
Given that ∆QPS ≈ ∆SRQ
a) ∠QPS = ∠QRS
106° = 2x + 12
106° - 12 = 2x
2x = 94°
x = 47°
b) ∠RSQ = ∠PQS
∠SQR + ∠SRQ + ∠RSQ = 180°
42° + 2(47°) + 12 + ∠RSQ = 180°
148 + ∠RSQ = 180°
∠RSQ = 180° - 148°
∠RSQ = 32°
∠PQS = 32°
c) ∠PSR = ∠PSQ + ∠RSQ
[ ∠PSQ = 42° = ∠SQR ; ∠RSQ = 32°]
∠PSR = 42° + 32°
∠PSR = 74°
Thus, In the given figure, where triangle QPS = triangle SRQ, the value of x = 47°, ∠PQS = 32°, ∠PSR = 74°.
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estimate the error that is made by approximating the sum of the given series by the series the fitst 5 terms 1/k^3
The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.
To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.
The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.
That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.
The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.
The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.
The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.
So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.
The error involved in this approximation is very small and can be neglected.
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.Which of the following refers to rules of thumb that simplify the process of making decisions?
A. Dialectical inquiry
B. Biases
C. Heuristics
D. Creativity
E. Practical alternatives
Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.
While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.
The answer is C.
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I really need help with this!! If you know how to solve please help!
Find the sum of sides of a convex polygon if the sum of the measures of its interior angles is: 540 degrees, 1080 degrees, 1800 degrees, 1620 degrees, 2340 degrees, 3600 degrees, 2880 degrees, and 7560 degrees.
Answer:
18,540
what i know is 18,540
Find two rational number between root 25 and root 27
There are infinitely many such numbers, so I'll give some examples.
\(\sqrt{25}=5\\\sqrt{27}\approx5.196\)
Therefore, such numbers can be \(5.19,5.03,5.\overline{17},5.\overline{045},\dfrac{77}{15},\dfrac{22937}{4500}\).
Answer:
25 = 5
27 = 5.196152422706632
Step-by-step explanation:
if we divide the number with prime number .
25/5 = 5
5/5 = 0
5*5 = 25
5 is repeating two times so it is a square root of 25
in 27 is not square
if we divide the prime number repeating 3 times so if we have another prime number we can calculate the square root of a number
I need the answer please?
Answer:
84
Step-by-step explanation:
\(7 + (15 - 5) \times (10 - 6) \times \frac{1}{2} + 5 \times 10 = 84\)
Answer:
The answer is 84 inches Squared!
Step-by-step explanation:
Here is the explanation to the answer:-
All you have to do is divide the whole figure into some parts!
Here is what I have divided the figure into.
The triangle area is 1/2 * L*H
The measurements are 1/2 * 4*3 = 6in Squared.
( The Next Shape To The Triangle)
Rectangle area is L*B
The Measurements are 4*7 = 28inches Squared.
(The next shape to the rectangle)
Rectangle area is L*B
Measurements are 5*4 = 20inches squared.
(Above Shape of the rectangle)
Area of rectangle is L*B
Measurements are 6*5 = 30 Inches Squared.
Now, add all the areas of the figure:-
6 + 28 + 20 + 30 = 84 Inches Squared.
Thanks, and hope this helps.
what is the slope of (-2,13) and (1,1)
Answer:
y = -4x + 5
Step-by-step explanation:
hope this helps
Your basketball team plays 5 games, your team scores 10 points in the first game, 3 points im the second game, 2 points in the third game. 5 points in the fourth game, and 0 points in the fifth game. what was the mean number of points your team scores for all 5 games
When you’re gathering the points you’re finding the mean, so what is the mean number ?
3 points , 4 points 5 points, or 10 points?
a 14 ft ladder leans against the side of a house. the angle of elevation of the ladder is 68 degrees. how high is the top of the ladder from the ground?
Thus, the height of the top of the ladder from the ground is 6.11 feet.
To determine the height of the top of the ladder from the ground, we will need to use trigonometry. Specifically, we will use the tangent function.
First, we need to label our triangle. The ladder is the hypotenuse, the height we want to find is the opposite side, and the distance from the base of the ladder to the house is the adjacent side.
Using the given angle of elevation, we know that the angle between the ladder and the ground is 22 degrees (because 90 - 68 = 22).
Now we can use the tangent function:
tan(22) = opposite/adjacent
We know the adjacent side is the distance from the base of the ladder to the house, but we don't know the length. Let's call it x.
tan(22) = opposite/x
We can solve for the opposite side by multiplying both sides by x:
x * tan(22) = opposite
Now we just need to substitute the length of the ladder, which is 14 ft, for x:
14 * tan(22) = opposite
Using a calculator, we get:
6.11 ≈ opposite
So the top of the ladder is approximately 6.11 feet from the ground.
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You spend $6. 50 one pair of gloves you have $7. 00 how much money did u have originally
Answer:
You originally had $13.50.
Step-by-step explanation:
If you spent $6.50 to buy a pair of gloves and now have $7 left, how much money did you have originally?
There are two ways to solve this
Way #1:
Simply add $7 to $6.50 to find how much you had before (since your original amount has subtracted by $6.50, so just add the $6.50 again to get your original amt.) This will give you $13.50.
Way #2:
Make a equation:
Let's assume x is the amount of money you had originally.
x - 6.50 = 7
Isolate the variable (Add 6.50 to both sides):
x = 13.50
You originally had $13.50.
PLEASE HELP!!! I CANT DO THIS
Answer:
∠WVU = 67°
Step-by-step explanation:
∠WVU = 1/2(arc WV)
8x + 11 = 1/2(15 + 17x)
8x + 11 = 7.5 + 8.5x
subtract 7.5 and 8x from each side of the equation:
0.5x = 3.5
multiply both sides by 2:
x = 7
∠WVU = 8(7) + 11 = 67°
proof:
arc WV = 15 + 17(7) = 134° which is 2 x 67°
(multiple choice)
a cube has a volume of 64cm^3. what is the length of the sides of the cube?
a.) 16 cm
b.) 32 cm
c.) 4cm
d.) 8
Answer:
Step-by-step explanation:
B
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Consider a population of birds where three types exist. Red birds leave 10 offspring in the next generation, orange birds leave 8 offspring, and yellow birds leave 2 offspring. Based on this information, indicate whether the following statements are true or false.
The relative fitness of red birds is 0.5.
The relative fitness of red birds is 1, not 0.5.
To determine the relative fitness of each bird type, we need to compare the average number of offspring each type produces in the next generation.
For red birds, the average number of offspring is 10.
For orange birds, the average number of offspring is 8.
For yellow birds, the average number of offspring is 2.
To calculate the relative fitness of each bird type, we divide each average number of offspring by the highest average number of offspring (which is 10):
- Redbirds: 10/10 = 1
- Orange birds: 8/10 = 0.8
- Yellow birds: 2/10 = 0.2
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What does mu X mean statistics?
Mu X is a statistical concept used to measure the difference between two means.
It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.
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adriel is younger than jevonte. There ages are consecutive odd integers. Find adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85
Answer:
Step-by-step explanation:
Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85 is 7 years
How to calculate the value?Let the ages be x and x + 2 since they're consecutive odd integers.
We want to find Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85. This will be illustrated as:
x² + 4(x + 2) = 85
x² + 4x + 8 = 85
Collect like terms
x² + 4x + 8 - 85
x² + 4x - 77 = 0
x² + 11x - 7x - 77 = 0
x(x + 12) - 7(x + 11) = 0
x - 7 = 0
x = 0 + 7
Therefore, the age is 7 years.
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Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)
The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.
To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:
- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.
- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.
- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.
- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.
Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.
Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.
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What is the value of the t score for a 98% confidence interval if we take a sample of size 20?
a. 2.845
b. 2.861
c. 2.326
d. 2.528
e. 2.539
The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861.
The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861. This calculation is based on the t-distribution, which is a probability distribution that is used to calculate confidence intervals. The t-distribution is used when the population standard deviation is unknown and the sample size is relatively small, which is the case for our sample size of 20. To calculate the t score, we need to first calculate the degrees of freedom, which is equal to n-1 = 20-1 = 19. Then, use this value of degrees of freedom to look up the relevant t score in a t-table. This will give us a t score of 2.861. This t score indicates the level of confidence that our sample mean is representative of the population mean. Therefore, when taking a sample of size 20 and calculating a 98% confidence interval, the t score we get is 2.861.
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FILL THE BLANK.Two rays with a common end point form an _____
Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.
The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.
In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.
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WILL MARK AS BRAINLIEST HELP!
Answer: No it is not, because 544 does not equal 256
when you do 12 to the power of 2 and 20 to the power of 2 it is 544. 16x16 equals 256
Find the volume of a right circular cone that has a height of 18.8 inches and a base with a diameter of 14.3 inches. Round answer to the nearest tenth of a cubic inch.
Answer:
The volume of the right circular cone is \(1005.9\ \text{inch}^2\).
Step-by-step explanation:
It is given that,
Height of a right circular cone is 18.8 inches and its diameter is 14.3 inches. We need to find the volume of the cone. The volume of cone is
\(V=\dfrac{1}{3}\pi r^2 h\)
So,
\(V=\dfrac{1}{3}\times 3.14\times (\dfrac{14.3}{2})^2\times 18.8\\\\V=1005.9\ \text{inch}^2\)
So, the volume of the right circular cone is \(1005.9\ \text{inch}^2\).
Answer:1006.5
Step-by-step explanation:
Paulo's grandfather gave him a collection
of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used
to find m, the number of months after starting
his collection when Paulo will have more than 50 coins in his collection?
Answer:
20 + 4m >50
Step-by-step explanation:
What is the volume of this square pyramid?
Answer:
v = 1/3 x area of base x height
volume = 1/3 x (12 x 12) x 8
= 384 cm3
Can someone explain or help me with this?
Answer:
Step-by-step explanation:
6085 rounded to the nearest hundred is 6100
51,672 rounded to the nearest ten thousand is 50,000
4. a picture can be added to a text in nine different locations on a page. if four different pictures are to be placed in the text, how many different designs are there?
As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.
There are seven options for the third picture and six options for the fourth picture.
To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.
Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:
9 x 8 x 7 x 6 = 3,024
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helppp
britney has already run 10 miles on her own, and she expects to run 3 miles during each track practice. how many track practices would it take for britney to run 40 miles
Answer:
It would take her 10 track practices to get up to 40 miles.
Step-by-step explanation:
whats the slope for (-2,4) and (10, -2)
Answer:
-1/2
Step-by-step explanation:
y2-y1 over x2-x1
-2-4 over 10+2
which equals -6/12
which simplifies to -1/2
Answer:
-1/2
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1,y1
-2, 4
x2,y2
10,-2 -2 - 4
10 - (-2) = -6/12 = -1/2