Answer: octagon
Step-by-step explanation:
Answer:
Step-by-step explanation:
No. c will be decagon because it has 10 sides
HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Edit: it's actually translation, sorry about that.
Step-by-step explanation:
Answer: I think it might be translation
Step-by-step explanation:
Translation: A slide of a slide of a shape on a coordinate plane. We can move a shape upward, downward, leftward, or rightward.
Megan dilates ∆JKL about point J by a scale factor of 3/5 to create ∆JNO.
What is the length of segment NO?
Show all work solving for segment NO.
The measure of the length NO after dilation will be 15.
What is a scale factor?The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.
Given that to make JNO, Megan enlarges JKL by a scale factor of 3/5 around point J.
The measure of side NO will be calculated as:-
NO = 3 / 5 x 25
NO = 3 x 5
NO = 15
Therefore, the length of the side NO is 15.
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three students are chosen at random from a class of ten girls and twelve boys. what is the probability that at least one is a boy, given that at least one is a girl?
The probability that at least one is a boy, given that at least one is a girl is 0.823
To solve this problem, we can use conditional probability.
Let A be the event that at least one student is a boy, and let B be the event that at least one student is a girl.
We want to find the probability of A given B, denoted as P(A|B).
Let total student is,
Total girls (10) + Total boys (12) = 22
First calculating the probability of event B, which is probability that all three students are boys. This can be calculated as:
P(B) = 1 - (10/22)^3 = 1 - 0.214 = 0.906
The probability of event A intersecting B is then calculated, which is the probability that at least one student is a boy and at least one student is a girl. We can use the complement of this event, which is the likelihood that all three students are male or female:
P(A intersect B) = 1 - P(all girls) - P(all boys)
= 1 - (10/22)^3 - (12/22)^3
= 1 - 0.077 - 0.245
= 0.743
Finally, we use the formula for conditional probability to calculate P(A|B):
P(A|B) = P(A intersect B) / P(B)
= 0.743 / 0.906
= 0.822
Therefore, the probability that at least one student is a boy, given that at least one is a girl, is 0.862.
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Given G is the midpoint of EH, FG= GI, Prove triangle EFG= triangle HIG
If G is the midpoint of EH, FG= GI, then triangle EFG= triangle HIG
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Given G is the midpoint of EH,
FG≅ GI,
We need to Prove triangle EFG= triangle HIG
∠E and ∠H are right angles, FG≅ GI from given.
∠E≅ ∠H from given
G is midpoint of EH from given
EG≅ GH by definition of congruent triangles.
triangle EFG≅ triangle HIG by SAS congruence postulate.
Hence, if G is the midpoint of EH, FG= GI, then triangle EFG= triangle HIG
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4.21 game of dreidel. a dreidel is a four-sided spinning top with the hebrew letters nun, gimel, hei, and shin, one on each side. each side is equally likely to come up in a single spin of the dreidel. suppose you spin a dreidel three times. calculate the probability of getting
The probability of getting at least one nun in three spins of a dreidel is approximately 0.578
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.
The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.
So the probability of getting at least one nun in three spins is
= 1 - (3/4)^3
= 1 - 0.421875
= 0.578125
Therefore, the probability of getting at least one nun is 0.578
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The given question is incomplete, the complete question is:
A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?
Answer these two questions, I am having difficulty understanding. Explanation would be nice but it is not required. Spam answers will be reported.
The amount of money that is take home pay would be = $3,491.91
The amount of money that is your fix expenses would be = $1,257.09
How to calculate the amount of money for fixed expenses?The amount of money that you make each month = $3,764.82.
The percentage of deduction made for FICA = 7.25%
That is;
= 7.25/100 × 3,764.82/1
= 27294.945/100
= $272.91
Therefore, the take home pay ;
= $3,764.82-$272.91
= $3,491.91
The percentage of the fixed expenses = 36% of the realised income.
That is, 36/100 × 3,491.91/1
= 125708.76/100
= $1,257.09.
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I really need help, please help me!
a= 340 rounded to the nearest 10
b= 49.8 rounded to 1 DP
Find the minimum of a × b
Answer: First, we'll round the values of A and b:
A = 340 rounded to the nearest 10 = 340
b = 49.8 rounded to 1 decimal place = 49.8
Next, we'll find the product of A and b:
A × b = 340 × 49.8 = 16872
Finally, we'll find the minimum of A × b:
Minimum of A × b = 16872
So, the minimum value of A × b is 16872.
Step-by-step explanation:
the blood pressure in millimeters was measured for a large sample of people. the average pressure is 140 mm, and the sd of the measurements is 20 mm. the histogram looks reasonably like a normal curve. use the normal curve to estimate the following percentages.
The percentage of people with blood pressure between 115 and 165 mm is 68.27% (closest to option e). The percentage of people with blood pressure between 140 and 165 mm is 89.4% (closest to option b). The percentage of people with blood pressure over 165 mm is 10.6% (closest to option a).
To solve this problem, we can use the properties of the normal distribution, which is a continuous probability distribution that is often used to model real-world data. In particular, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages of people with blood pressure within certain ranges. The empirical rule states that, for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean. Using this rule, we can estimate the following percentages: The percentage of people with blood pressure between 115 and 165 mm: First, we need to find the z-scores for the lower and upper limits of the range: z_lower = (115 - 140) / 20 = -1.25.
z_upper = (165 - 140) / 20 = 1.25
We can then use a standard normal distribution table or a calculator to find the areas under the curve corresponding to these z-scores:
P(-1.25 < Z < 1.25) = 0.7887 - 0.1056 = 0.6831
So, approximately 68.31% of people have blood pressure between 115 and 165 mm.
The percentage of people with blood pressure between 140 and 165 mm: In this case, the lower limit is equal to the mean, so we only need to find the z-score for the upper limit: z_upper = (165 - 140) / 20 = 1.25
Using the same approach as before, we get:
P(Z < 1.25) = 0.8944
So, approximately 89.44% of people have blood pressure between 140 and 165 mm. The percentage of people with blood pressure over 165 mm:
In this case, we only need to find the area to the right of the upper limit:
P(Z > 1.25) = 0.1056
So, approximately 10.56% of people have blood pressure over 165 mm.
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Complete Question
The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.
a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%
___ The percentage of people with blood pressure between 115 and 165 mm.
___ The percentage of people with blood pressure between 140 and 165 mm.
___ The percentage of people with blood pressure over 165 mm.
phone models a particular cell phone company offers models of phones, each in different colors and each available with any one of calling plans. how many combinations are possible?
The number of combinations that are possible for 4 cell phone models of 6 colors with 5 calling plans is 120 .
We have to find the total number of combinations of cell phone models, colors, and calling plans,
So , we multiply the number of choices for each category.
By Using the multiplication principle of counting:
⇒ Total number of combinations = (number of phone models) × (number of colors) × (number of calling plans) ;
⇒ 4 × 6 × 5
⇒ 120
Therefore, there are 120 possible combinations of cell phone models, colors, and calling plans from this particular cell phone company.
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The given question is incomplete , the complete question is
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with an one of 5 calling plans. How many combinations are possible ?
Evaluate 6(2x + 5y) if x = 3 and y = 4
Answer:
156
Step-by-step explanation:
6(2×3+5×4)
6(6+20)
6×26
156
another way
6(2x+5y)
12x+30y
12×3+30×4
36+120
156
Solve [tex]x^{2} -24=10x[/tex]
(a) The perimeter of a rectangular garden is 328 m.
If the width of the garden is 67 m, what is its length?
Let L be the length of the rectangular garden.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Substituting the given values, we get:
328 = 2L + 2(67)
Simplifying the equation, we get:
328 = 2L + 134
2L = 328 - 134
2L = 194
L = 194/2
L = 97
Therefore, the length of the rectangular garden is 97 meters.
let f be the continuous function defined on [-4,3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by g(x) =
Answer: no exact answer
Step-by-step explanation:
Melody had 120 stamps more than Jeremy. After Melody gave 30 stamps to Jeremy, she had twice as much as him. How many stamps do they have altogether?
melody had 120 stamps.
and she gave Jeremy 30 stamps .
so she had 90 stamps now.
after she gave Jeremy 30 stamps,she had twice as much as him.
so 90 is 45+45 .other way 45 is half of 90.
so Jeremy had 45 stamps now.
they have altogether 90+45=135 stamps.
the answer is 135
By creating and solving an algebraic equation, we learn that Jeremy started with 60 stamps and Melody started with 180 stamps. Therefore, they originally had 240 stamps combined.
Explanation:We'll use algebra to solve this. Let's let Jeremy's number of stamps be represented by J. According to the information, Melody had 120 more stamps than Jeremy before she gave him 30, so she had J + 120 stamps. After transferring the 30 stamps, she has J + 120 - 30 stamps, which simplifies to J + 90 stamps. According to the problem, this amount is twice the amount Jeremy has after receiving the 30 stamps (J + 30). So, we can set up this equation: 2(J + 30) = J + 90.
Solving this equation gives J = 60. That means Jeremy started with 60 stamps. Therefore, Melody started with 60 + 120 = 180 stamps. The total number of stamps both had originally is 60 + 180 = 240 stamps.
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For each Diagram, write an unsimplified and simplified equation that represents the relationship between x and y.
I need the unsimplified equations on the left side of the chart from what I know it should be equal to the simplified equation across from it.
For diagram A, the unsimplified equation represents the relationship between x and y is y = x + x/3.
For diagram B, the unsimplified equation represents the relationship between x and y is y = x + 2x/3.
For diagram C, the unsimplified equation represents the relationship between x and y is y = x - x/3.
For diagram D, the unsimplified equation represents the relationship between x and y is y = x - 2x/3.
What is an unsimplified equation?Performing mathematical operations reduces an unsimplified equation to a simplified equation. A simplified equation is used for convenience.
Diagram A:
The value of x contains 3 congruent colored rectangles. The noncolored rectangle is 1. So, the value of the noncolored rectangle will be x/3.
Clearly, y will be the sum of x and x/3, that is, y = x + x/3.
Therefore, the obtained answer is y = x + x/3.
Diagram B:
The value of x contains 3 congruent colored rectangles. The noncolored congruent rectangles are 2. So, the value of the noncolored rectangles will be 2x/3.
Clearly, y will be the sum of x and 2x/3, that is, y = x + 2x/3.
Therefore, the obtained answer is y = x + 2x/3.
Diagram C:
The value of x contains 3 congruent colored rectangles. So, the value of 1 rectangle will be x/3.
Clearly, y will be the difference between x and x/3, that is, y = x - x/3.
Therefore, the obtained answer is y = x - x/3.
Diagram D:
The value of x contains 3 congruent colored rectangles. So, the value of 2 congruent rectangles will be 2x/3.
Clearly, y will be the difference between x and 2x/3, that is, y = x - 2x/3.
Therefore, the obtained answer is y = x - 2x/3.
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Enter the denominator of the fraction is simplest form that is equal to 0.7
The simplest form of the fraction equivalent to 0.7 is 7/10
What is fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, to show the denominator of the fraction in the simplest form that is equal to 0.7
To convert 0.7 into a fraction, we have to write it in p/q form, where p and q are positive integers.
we can write .7 as 0.7/1
now to remove the decimal point we will multiply and divide by 10
therefore,
0.7/1 × 10/10 = 7/10
Hence, the simplest form of the fraction equivalent to 0.7 is 7/10
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write -3×(5-2) as a distributive property
Distributive property is expressed as:
a(b + c) = ab + acApply this to the given expression and simplify
- 3×(5 - 2) = Given- 3×5 - 3×(-2) = Distribute- 15 + 6 = Simplify- 9 AnswerWhich number makes the equation true?
-7 4/5 + ? = -9
Answer:
Step-by-step explanation:
BRAINLIEST AND 50 points At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation LaTeX: 2x+40=622 x + 40 = 62 describes this situation. What does the variable x represent?
Group of answer choices
The number of jumping jacks Diego does
The number of push-ups Diego does
The number of jumping jacks Noah does
The number of push-ups Noah does
If the equation describes the situation is 2x + 40 = 62, then the variable x represents the option (D) number of push ups Noah does
The given statements are
Diego does twice as many push ups as Noah
Therefore, if Noah does x push ups Diego does 2x push ups
Number of jumping jacks that Diego does = 40
Total number of exercises that he does = 62
The linear equation that represents the situation is
2x + 40 = 62
From the given equation
2x = 62 - 40
2x = 22
x = 22/2
x = 11
Here we can see that x is the number of push ups Noah does and 2x is the number of push ups Diego does
Therefore, the variable x is the number of push ups Diego does
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There are 342 boys and girls at the canteen. After 51 boys and an equal number of girls as boys returned to their classroom, there were three times the number of boys than girls in the canteen. How many boys were there in the canteen at first?
Let b be the initial number of boys, and let g be the initial number of girls. We know that the total number of students at the canteen is 342, so:
b + g = 342
After 51 boys and an equal number of girls returned to their classroom, there were three times the number of boys than girls in the canteen. This means that the number of girls remaining in the canteen is:
g - 51
And the number of boys remaining in the canteen is:
b - 51
Since there were three times as many boys as girls, we can write:
b - 51 = 3(g - 51)
Now we have two equations and two unknowns. We can solve for one variable in terms of the other in the first equation, and substitute into the second equation:
b + g = 342
g = 342 - b
b - 51 = 3(g - 51)
b - 51 = 3(342 - b - 51)
b - 51 = 3(291 - b)
b - 51 = 873 - 3b
4b = 924
b = 231
So there were 231 boys in the canteen at first. To check our answer, we can substitute into the first equation:
b + g = 342
231 + g = 342
g = 111
Therefore, there were 231 boys and 111 girls in the canteen at first.
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A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 6 colors: red, purple, blue, green, white, or orange. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color green and then rolling an even number?
The probability of a player spinning the color green and then rolling an even number is 1/12.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Spinner:
= {red, purple, blue, green, white, orange}
Cube:
= {1, 2, 3, 4, 5, 6}
Now,
The sample space of spinning and rolling a cube.
= {red, purple, blue, green, white, orange} x {1, 2, 3, 4, 5, 6}
The number of outcomes.
= 6 x 6
= 36
Now,
The outcome of spinning a green and an even number.
= (green, 2), (green, 4), (green, 6)
Number of outcomes = 3
Now,
The probability of a player spinning the color green and then rolling an even number.
= 3/36
= 1/12
Thus,
The probability of a player spinning the color green and then rolling an even number is 1/12.
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I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl." How many cheerios can I pour into the bowl. Round your answer to the nearest whole number.
we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.
What is rectangle ?
Rectangle can be defined in which the opposite sides are equal and area of rectangle is product of length and breadth.
Given ,
I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl."
We can start by calculating the surface area of the Tupperware container, which is equal to 2 times the sum of the area of the base and the area of the two rectangular sides:
Area of base = Length * Width = 9 in * 6 in = 54 in²
Area of two rectangular sides = Height * Length = 3 in * 9 in = 27 in²
Surface area = 2 * (54 in² + 27 in²) = 2 * 81 in² = 162 in²
Next, we can find the maximum number of cheerios that can be poured into the bowl by dividing the surface area by the maximum allowed density of 0.3 cheerios per square inch:
Maximum number of cheerios = Surface area / Maximum allowed density = 162 in² / 0.3 cheerios/in² = 541 cheerios
Hence, we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.
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Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.
You will need to use the expressions for the angles given below.
m∠A) 3(x + 5)
m∠B) 5x+15
m∠C) 7x
Identify the angle relationship and setup your equation with the given expressions.
What is the value of x? Show your work.
What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.
Answer:
<A=45°,<B=65°,<C=70°
Step-by-step explanation:
<A=3(x+5)=3x+15
<B=5x+15
<C=7x
sum angles in a triangle is 180°
so,<A+<B+<C=180
(3x+15)+(5x+15)+(7x)=180
C.L.T
3x+5x+7x+15+15=180
15x+30=180
15x=180-30
15x=150
divide both sides by 15
x=10
<A=3(x+5)=3(10+5)=3(15)=45°
<B=5(10)+15=50+15=65°
<C=7(10)=70°
which number below is most unlike the others ?? 102, 203, 506, 608
verify that the correlation is about 0.5. what feature of the datais responsible for reducing the correlation to this value despitea strong straight-line association between x and y in most of theobservations?
The correlation of 0.5 indicates that the data points are not perfectly related - there is some degree of variation, which could be caused by a number of factors. If some data points have significantly different values than others, they can reduce the overall correlation.
Alternatively, the data could also have other confounding variables, such as additional features that are not considered in the linear relationship between x and y. These additional variables could also reduce the correlation, as they introduce noise into the analysis. In either case, the correlation of 0.5 could be due to the presence of outliers and/or confounding variables.
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How many positive whole numbers less than 2016 have digit sum of 8?
The total number of numbers less than 2016 with a digit sum of 8 is 116 numbers.
How many positive whole numbers less than 2016 are there that have a digit sum of 8?The sum of the digits in the positive whole numbers is to be 8.
So the possibilities are obtained by means of permutation as follows:
Three 0's and an 8; ⁴P₁ = 4
One 1 and one 7, ⁴P₂ = 12
One 2 and one 6; ⁴P₂ = 12
One 3 and one 5; ⁴P₂ = 12
Two 1's and a 6; (⁴P₃/2!) = 12
One 1, one 2, and one 5; ⁴P₃ = 24
Two 2's and a 4; (⁴P₃/2!) = 12
Two 3's and a 2; (⁴P₃/2!) = 12
Two 4's and a 0; (⁴P₃/2!) = 12
Three 1's and a 5; (⁴P₃/3!) = 4
Total = 116 numbers
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The actual temperature of Noah's oven is 325 degrees, but his oven thermometer is reading 340 degrees. What is the percent error?
Answer:
Est: 4.62%
Step-by-step explanation:
a cafe lets you order a deli sandwich your way. there are : e1, six choices for bread; e2, four choices for meat: e3, four choices for cheese; and e4, 12 different garnishes (condiments). what is the number of dffferent sandwich possibilities, if you may choose one bread, 0 or 1 meat, 0 or 1 cheese, and from 0 to 12 condiments? (multiplication principle) (not allowing repetition for bread, meat and cheese) (allowing repetition for condiments)
The number of different sandwich possibilities is 1081.
To calculate this, we must use the multiplication principle. We will begin by calculating the number of possibilities for the bread, meat, and cheese. There are 6 different breads, 4 different meats, and 4 different cheeses. So, there are 6 x 4 x 4 = 96 possible combinations for the bread, meat, and cheese. Next, we must calculate the number of possibilities for the condiments. Since we are allowing repetition for the condiments, we can calculate the possibilities by multiplying 12 (the number of condiments) by itself. So, there are 12 x 12 = 144 possibilities for the condiments. Lastly, we can multiply 96 (the number of bread, meat, and cheese combinations) by 144 (the number of condiment combinations). This yields 1081 different sandwich possibilities.
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what number is not a factor of 12 is smaller than 10 is one less than perfect square
List of perfect squares smaller than 10 are: {1, 4, 9}
Subtract 1 from each value to get a new list of {0, 3, 8}
None of these new values are a factor of 12.
The possible answers are: 0, 3, and 8