Answer:
rotationStep-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.
Therefore, the fixed point is called the center of rotation.
What are the angles?
Angles are formed when two lines intersect at a point. The measure of the 'opening' between these two rays is called an 'angle'.
A rotation means that the transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point.
So,the fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.
Hence, the fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.
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What number will be output by the console.log command on line 5?a 10 b 25 c 30 d 35
Answer:
c 30 bc oki
Step-by-step explanation:
Answer:
It’s 35
Step-by-step explanation:
I took the test before…fixx
A survey was conducted about real estate prices. Data collected is 148216, 201866, 352428, 481312, 560473, 689607, 747147, 841952,966673,1077650,1116189,1264235,1395465. What is the third quartile price? QUESTION 3 A survey was conducted about real estate prices. Data collected is 202703, 363137, 776302, 953021, 145393, 998899, 359679. 178515,312441,117271,669212,375390,109350. What is the Standard Deviation of the price? QUESTON 4 A survey was conducted about real estate prices. Data collected is 100021, 259112, 317692, 487684, 508883, 699112, 758500, 841302,945586,1047047,1135536,1235570,1315132. What is the 85 th percentile price?
To find the third quartile price, we need to arrange the data in ascending order. The third quartile represents the value below which 75% of the data falls. The 85th percentile price is approximately 1135536.
Arranged data: 148216, 201866, 352428, 481312, 560473, 689607, 747147, 841952, 966673, 1077650, 1116189, 1264235, 1395465
Since there are 13 data points, the third quartile is located at the position (13 + 1) * (3/4) = 10th position.
The third quartile price is the value at the 10th position, which is 1077650.
Therefore, the third quartile price is 1077650.
Using a calculator or software, the standard deviation of the price is approximately 318,986.
Therefore, the standard deviation of the price is approximately 318,986.
To find the 85th percentile price, we need to arrange the data in ascending order. The 85th percentile represents the value below which 85% of the data falls.
Arranged data: 100021, 259112, 317692, 487684, 508883, 699112, 758500, 841302, 945586, 1047047, 1135536, 1235570, 1315132
Since there are 13 data points, the 85th percentile is located at the position (13 + 1) * (85/100) = 11th position.
The 85th percentile price is the value at the 11th position, which is 1135536.
Therefore, the 85th percentile price is 1135536.
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
which measurement is closest to the area of the largest circle in square yards? with steps
The area of the largest circle is 153.86 yard square.
How to find the area of a circle?The measurement that is closest to the area of the largest circle can be calculated as follows:
Therefore,
area of the largest circle = πr²
where
r = radiusTherefore,
radius = 10 + 4 ÷ 2
radius = 14 / 2
radius = 7 yards
Hence,
area of the largest circle = 3.14 × 7²
area of the largest circle = 3.14 ×49
area of the largest circle = 153.86 yard²
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The WipeOut Ski Company manufactures skis for beginners. Fixed costs are $30. Fill in Table 7.16 for total cost, average variable cost, average total cost, and marginal cost. VariableFxed Tota Average Variable Average Total Marginal Cost 0 $10 $25 $45 $70 $100 $135 Cost Cost Cost 0 $30 2 5 6 Table 7.16 $30
To calculate the marginal cost, find the change in total cost when one additional unit is produced.
How to find Variable Fixed Total Average Variable Average Total Marginal Cost?Variable Fixed Total Average Variable Average Total Marginal Cost
Cost Cost Cost
0 $30 $30 - - -
2 $30 $34 $17 $17 $4
5 $30 $47 $9.4 $9.4 $13
6 $30 $56 $9.3 $9.3 $9
8 $30 $78 $9.75 $9.75 $22
10 $30 $100 $10 $10 $22
12 $30 $132 $11 $11 $32
Note: To calculate the average variable cost, divide the total variable cost by the quantity produced. To calculate the average total cost, add the total variable cost and the total fixed cost and divide by the quantity produced. To calculate the marginal cost, find the change in total cost when one additional unit is produced.
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6. Workers A and B, doing the same job, show the following results over a long period: A B mean time of completing job (in hours) 5 4 standard deviation (in hours) 1. 5 1. 5 a) Who appears to be more consistent in performance? b) Who is more efficient from an overall point of view?
Worker B appears to be more consistent in performance, while Worker B is more efficient from an overall point of view.
To determine who appears to be more consistent in performance, we need to compare the standard deviations of A and B. Both A and B have a standard deviation of 1.5 hours, which means that they have the same level of consistency in their performance.
To determine who is more efficient from an overall point of view, we need to compare the mean times of A and B. Worker B has a mean time of 4 hours, which is less than the mean time of Worker A (5 hours). This means that Worker B is more efficient than Worker A in completing the job from an overall point of view.
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according to government data, 22% of american children under the age of six live in households with incomes less than the official poverty level. a study of learning in early childhood chooses an srs of 300 children. find the probability that more than 20% of the sample are from poverty households. be sure to check that you can use the normal approximation.
The probability that more than 20% of the sample are from poverty households is approximately 0.8365.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.
Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.
The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.
We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).
To use the normal approximation, we can standardize X as follows:
Z = (X - μ) / σ
Then, we have:
P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)
Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.
Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.
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Please help I need to pass this class
Answer:
Shown Below...
Step-by-step explanation:
6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25
7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4
8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.
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Start at 10,000, and divide by 10 each time.
Answer:
i got 10 in the end 10000 is a power of 10 so the lowest answer is 10
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
the answer is b
Step-by-step explanation:
hope this helps love:) i'm doing this rn in algebra..it's a pain!
_(blank)_ = Cost of Attendance (COA) − Expected Family
Contribution (EFC)
The term that should be placed in the blank in the given question is the "Financial need."
Financial Need is the difference between the Cost of Attendance (COA) and the Expected Family Contribution (EFC). In simpler terms, it is the total amount of money that is required to fund the student's college education, minus the family's contribution, as determined by the FAFSA (Free Application for Federal Student Aid).COA (Cost of Attendance): COA is a detailed evaluation of all the costs involved in pursuing higher education, including tuition fees, housing and meal costs, textbooks, lab equipment, and transportation costs. However, students must note that the COA may vary from one college to another and depend on the program of study.EFC (Expected Family Contribution): The Expected Family Contribution (EFC) is the total amount of money that the student and their family are expected to contribute to their higher education costs, as per the Free Application for Federal Student Aid (FAFSA). The EFC takes into account factors such as family income, assets, benefits, and other financial data to determine the student's eligibility for financial aid.To know more about Financial need, visit:
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11. The circlex²+y² = 26 and the line y = x + 4 meet at two points P and Q
a) show that the x co-ordinates of P and Q satisfy the equation x² + 4x-5=0
b) hence find the co-ordinates of P and Q
a)The x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.
b)The co-ordinates of P and Q are (-5, -1) and Q = (1, 5).
What is defined as the equation of the circle?(x-h)² + (y-k)² = r² is the equation for a circle with (h, k) center and r radius. This is the equation's standard form. Thereby, if we recognise the coordinates of the circle's center and radius, we can usually find its equation.The given equation of the circle is;
x² + y² = 26.
Th circle satisfies the line y = x + 4.
Thus, Put the value of y in the main equation.
x² + (x + 4)² = 26.
Simplify the equation;
x² + x² + 16 + 8x = 26
2x² + 8x - 10 = 0
Divide the equation by 2.
x² + 4x - 5 = 0
Part a: This shows that x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.
Part b: Now, do the factorization of x² + 4x - 5 = 0.
(x + 5)(x - 1) = 0
x = -5 and 1.
For x = -5; y = -1
Point P = (-5, -1)
For x = 1; y = 5
Point Q = (1, 5)
Thus, the requires points P and Q are obtained.
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Which of these options is not a quadratic equation in x?
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
The gas tank of Tyrell's truck holds 19.8. Gallons. When the tank is empty, Tyrell fills it with gas that costs $3.65 per gallon. About how much will it cost to fill the tank?
Ms. Morales showed her geometry student the figure below and told them that DE BC. She asked them to use this information to prove that DE divides AB and AC proportionally. Hannah used the midpoint formula to show that AD=DB and AE=EC. Jaden uses the slope formula to prove that DE and BC have equal slopes. Omar used the distance formula to show that AD/DB=AE/EC. Which student or students used a formula that will help them prove the relationship?
Answer: Hannah and Omar Only
Step-by-step explanation:
Self explanatory
Hannah and Omar Only used a formula that will help them prove the relationship.
ProportionallyA line drawn parallel to one side of a Δ divides the other two sides in the same ratio.
Given
To prove that DE divides AB and AC proportionally.
Construction: If DE is not parallel to BC, draw DF meeting AC at F.
Proof: In ΔABC, let DF || BC
\(\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}\\\\\)
A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.
\(\rm \dfrac{AD}{DB}=\dfrac{AE}{EC}\\\\\)
From (i) and (ii), we get
\(\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}=\rm \dfrac{AE}{EC}\\\\\)
Hence, Hannah and Omar Only used a formula that will help them prove the relationship.
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Subtract. Write your answer in scientific notation.
(8 × 107) - (6.87 × 105)
1.13 x 105
Submit
7.313 x 10
4
1.13 x 10
7.313 × 10²
The value of the expression after subtraction in scientific notation is
7.93 × 10⁷ .
The given expression is (8 × 10⁷) - (6.87 × 10⁵)
Now we will subtract the values in general form:
80000000 - 687000 = 79313000
Now we will write the result in scientific notation as:
79313000 = 7.9313 × 10⁷ ≈ 7.93 × 10⁷
Therefore value of the expression after subtraction in scientific notation is
7.93 × 10⁷ .
When a number is either too big or too little to be expressed in decimal form, scientific notation must be utilised, which usually results in a long string of digits. It is often referred to as scientific form or standard index form.
This base ten notation is widely used by scientists, mathematicians, and engineers since it may make a variety of mathematical procedures simpler. An essential figure is a digit that increases a number's accuracy. All non-zero numbers, zeros between significant digits, and significant zeroes are included in this.
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Dan spends 1/5 of his wages on rent and 2/3 on food. If he makes £495 per week how much money does he have left
Answer:
£66
Step-by-step explanation:
1/5 times £495
2/3 times £495
Rent =£99
Food =£330
99+330=429
495-429=£66
I hope that help you and you learned how to do it for next time.
Answer:
£66 Left
Step-by-step explanation:
Total Money = £495
Rent:
=> \(\frac{1}{5} * 495\)
=> £99
Food:
=>\(\frac{2}{3} * 495\)
=> 2 * 165
=> £330
Left:
=> £495-£99-£330 = £66
How do you write 42/25 as a percentage
Answer:
It is 1.68 so 168%
Step-by-step explanation:
please I need the answers now
#a
\(\\ \tt\hookrightarrow 2(2x+1)=30\)
\(\\ \tt\hookrightarrow 4x+2=30\)
\(\\ \tt\hookrightarrow 4x=28\)
\(\\ \tt\hookrightarrow x=7\)
#b
\(\\ \tt\hookrightarrow 3(4x-3)=-12\)
\(\\ \tt\hookrightarrow 12x-9=-12\)
\(\\ \tt\hookrightarrow 12x=-3\)
\(\\ \tt\hookrightarrow x=-1/4\)
#c
\(\\ \tt\hookrightarrow 4(2x-7)=20\)
\(\\ \tt\hookrightarrow 2x-7=5\)
\(\\ \tt\hookrightarrow 2x=12\)
\(\\ \tt\hookrightarrow x=6\)
#d
\(\\ \tt\hookrightarrow 7(3x-4)=63\)
\(\\ \tt\hookrightarrow 3x-4=9\)
\(\\ \tt\hookrightarrow 3x=13\)
\(\\ \tt\hookrightarrow x=13/3\)
#e
\(\\ \tt\hookrightarrow 6(3x+3)=-72\)
\(\\ \tt\hookrightarrow 18x+18=-72\)
\(\\ \tt\hookrightarrow 18x=-90\)
\(\\ \tt\hookrightarrow x=-5\)
#f
\(\\ \tt\hookrightarrow -2(6x-3)=6\)
\(\\ \tt\hookrightarrow 6x-3=-3\)
\(\\ \tt\hookrightarrow 6x=0\)
\(\\ \tt\hookrightarrow x=0\)
The value of x is 7.
The value of x is -1/4.
The value of x is 7.
The value of x is 4 1/3.
The value of x is -5.
The value of x is 0.
What is the value of x in the equations?2(2x + 1) = 30
The first step is to divide both sides of the equation by 2
2x + 1 = 15
Combine similar terms
2x = 15 - 1
2x = 14
x = 7
3(4x - 3) = -12
The first step is to divide both sides of the equation by 3
4X - 3 = -12 /3
4x - 3 = -4
Combine similar terms
4x = -4 + 3
4x = - 1
x = -1/4
4(2x - 7) = 20
The first step is to divide both sides of the equation by 4
2x - 7 = 5
Combine similar terms
2x = 5 + 7
2x = 12
x = 6
7(3x - 4) = 63
The first step is to divide both sides of the equation by 7
3x - 4 = 9
Combine similar terms
3x = 9 + 4
3x = 13
x = 4 1/3
6(3x + 3) = -72
The first step is to divide both sides of the equation by 6
3x + 3 = - 12
Combine similar terms
3x = -12 - 3
3x = -15
x = -5
-2(6x - 3) = 6
The first step is to divide both sides of the equation by -2
6x - 3 = -3
Combine similar terms
6x = -3 + 3
6x = 0
x = 0
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Brianna has a gift card for $15 that she will use to help buy a new pair of jeans. The jeans that she wants were originally priced at $62.80, but this weekend they are marked down 25% as part of a back-to-school sale. Also, because of a sales tax holiday, Brianna will not have to pay any sales tax on the jeans. How much will Brianna have to pay for the jeans, after the value of the gift card has been deducted?
$0.70
$32.10
$35.85
$47.10
Answer:
32.10
Step-by-step explanation:
25% of 62.80 is 15.70
62.80- 15.70 = 47.10
47.10- the 15 dollar giftard = 32.10
(Hope this helps! Please ask questions in the comments) :D
Ms. Yamato's gross pay is $2644. Her deductions total $548.30.
What percent of her gross pay is take-home pay?
A. 84%
B. 79%
C. 21%
D. 18%
Thus, the correct Percent response is B) 79%.
what is a percent?Percentage refers to a portion of every hundred. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, it is frequently shown using the percent sign, "%".
If you have 100 apples and distribute 10 of them, for instance, you have distributed 10% of your total apple supply.
We deduct Ms. Yamato's deductions from her gross income to determine her take-home pay:
$2644 - $548.30 = $2095.702.
By dividing her take-home pay by her gross pay and multiplying the result by 100%, we can determine what proportion of her gross pay is taken home:
($2095.70 / $2644) * 100% = 79%
Thus, the correct response is B) 79%.
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What percentage of the the shape is blue?
Answer:
50% is blue
Step-by-step explanation:
50 spaces, half are colored blue which is 25/50= 50%
Answer: 50%
Step-by-step explanation:
In all, there are 50 blocks, and there are 25 blue blocks. 25/50 to percentage is 50%.
Hope it helps!
A rectangle has a perimeter of 45 ft. The length and width are scaled by a factor of 1.5.
What is the perimeter of the resulting rectangle?
Enter your answer in the box.
Perimeter is the sum of the 4 sides. If the sides are scaled by a factor of 1.5, then the perimeter is also scaled by a factor of 1.5.
New perimeter: 45 ft x 1.5 = 67.5 feet.
The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?
Answer:
12.5 millimeters (mm).Step-by-step explanation:
Explain/define:
CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.
DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.
Mathematics: Formula
\(d=c/3.14\)
\(d-diameter\)
\(c-circumference\)
Mathematics: Solve
To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.
3.14 is often used for pi.
\(39.25/3.14=12.5.\)
Conclude:
Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).
what is the formula of a square + b square
45 point question Help Asap pic below Math
Answer:
i think 5
Step-by-step explanation:
Finding missing angles please help!!! pls
Answer:
x = 15
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is a? 0. 0385 0. 0400 0. 0769 0. 800.
Answer:
Option A :- 0. 0385
Step-by-step explanation:
Since a is the first letter in the alphabet
and in total there are 26 alphabet
We divide 1 by 26
⇢ 1 ÷ 26
⇢ 0.038461538461538
⇢ 0. 0385
Probability = 0. 0385
~Done~
Answer:
\(\huge\boxed{\bf\:0. 0385}\)
Step-by-step explanation:
Told number of alphabets in the English language
= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}
= 26 alphabets.
Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.
Probability that the letter chosen at random is 'A'
= Alphabet 'A' / Total number of letters
= 1/26
= 0.0385
\(\rule{150pt}{2pt}\)
find the value of x. need quickly plz help
Answer:
60°
Step-by-step explanation:
I think, should be correct all sides = 180
180/3 = 60
Answer:
x = 60
Step-by-step explanation:
This is an equilateral triangle so all angles are 60 degrees
Which fractions have a least common denominator of 20?
Answer:
Step-by-step explanation:
Two different fractions where lowest common denominator is 20 are 1/4 and 1/5.
What are the lowest common denominator?
For two or more fractions, if the numbers at the bottom (or denominator) by which the lowest number can be divide into, is called the lowest common denominator. It is also known as the least common denominator.
Here, 20 is the given lowest common denominator.
Therefore, we can write: 20 = 1 × 20, 20 = 2 × 10, 20 = 4×5
Hence, two fractions for which 20 can be a lowest common denominator are 1/4 and 1/5.
Hope it helps!