The scale factor of the triangle is 4:1.
We have,
The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.
Let's call the scale factor "k", and the length of one side of the original triangle "x".
Then, the length of the corresponding side in the new triangle is kx.
The problem tells us that the perimeters of the two triangles are in the ratio 24:3, or 8:1.
Therefore, we have:
24/3 = (kx + kx + x)/(x + x + x)
Simplifying the left side of the equation, we get:
8 = 2k
Dividing both sides by 2, we get:
k = 4
Therefore,
The scale factor is 4:1.
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the function below gives a rockets height, h(t) in feet in terms of the time, t in seconds since it has been launched h(t)=-16t + 128t +80 how many seconds does it take the rocket to be 272 feet in the air
It takes the rocket 2 seconds to be 272 feet in the air
Seconds it takes the rocket to be 272 feet in the airFrom the question, we have the following height function that can be used in our computation:
h(t) = -16t^2 + 128t +80
At 272 feet, we have
h(t) = 272
Substitute the known values in the above equation, so, we have the following representation
-16t^2 + 128t +80 = 272
Evaluate the like terms
So, we have
-16t^2 + 128t - 192 = 0
Solving using a graph, we have the smaller value of t to be
t = 2
Hence, the time to be 272 feet in air is 2 seconds
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the monthly incomes of 200 trainees at a local mill are normally distributed with a mean of $3650 and a standard deviation of $320. approximately, how many trainees earn less than $3970 a month?group of answer choices
For a monthly incomes of trainees at a local mill are normally distributed, the number of trainees earn less than $3970 a month is equals to 168.
The monthly incomes at a local mill are normally distributed. Sample size,n = 200
Mean of Monthly income, = $3650
Standard deviations of income, = $320
We have to determine value of trainees earn less than $3970 a month. Using the Z-Score formula, [tex]z = \frac{ X - \mu}{ \sigma} [/tex]
where, X--> observed value
σ -> standard deviations
μ --> mean value
Here, X = $3970,
Substitute all the known values in above formula, [tex]z= \frac{3970- 3650}{320}[/tex]
[tex]= \frac{320}{ 320} [/tex]
=> z = 1
Now, the probability value for trainees earn less than $3970 a month, P( X < 3970) = [tex]P (\frac{ X - \mu}{\sigma}< \frac{3970 - 3650}{320}) [/tex]
= P ( z< 1)
Using distribution table, value p( x< 1) is 0.8431. Now, the excepted value for trainees earn less than $3970 a month
= np = 200× 0.8413 = 168.21 ~ 168.
Hence, required value is 168.
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Find the weighted average of the numbers 1 and 6, with a weight of two-thirds on the first number and one-third on the second number. A. 3.5 B. 3.3 C. 2.7 D. 2.4
The weighted average is 1.
Weighted average is a statistical term used to describe a average calculated by giving different weights to different elements in a set of values.
The weighted average of the numbers -1 and 5 with two thirds of the weight on the first number and one third on the second number is 0.67.
The formula for a weighted average is:
(Weight1 * Value1) + (Weight2 * Value2) / (Weight1 + Weight2)
Where Weight1 is the weight for the first value (-1), Value1 is the first value (-1), Weight2 is the weight for the second value (5), and Value2 is the second value (5).
In this case, Weight1 = 2/3, Weight2 = 1/3, Value1 = -1, and Value2 = 5. Plugging these values into the formula, we get:
(2/3 * -1) + (1/3 * 5) / (2/3 + 1/3) = (-2/3 + 5/3) / 1 = 3/3 = 1
Hence, the weighted average is 1.
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to print a typical midweek issue of a large metropolitan american newspaper for one day, it requires about how many hectares of white spruce trees to make the paper? multiple choice question. 20 50 5 100
b) 50 hectares of white spruce trees are required to make the paper.
This estimate is based on the assumption that a large metropolitan American newspaper prints about 500,000 copies on an average weekday and each newspaper requires roughly 0.1 square meters of paper. To produce 500,000 newspapers, we need about 50,000 square meters or 5 hectares of paper. However, it takes about 10 trees to produce one ton of newsprint paper, so 5 hectares of paper require approximately 500 tons of paper.
Thus, it would take about 50 hectares of white spruce trees to produce enough paper for a typical midweek issue of a large metropolitan American newspaper for one day. It's worth noting that this is just an estimate and the actual number could vary depending on the newspaper's circulation, page count, and paper size.
The answer is approximately 50 hectares of white spruce trees.
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pls answer
worth 20 pointsss
Answer:
35.26m
Step-by-step explanation:
6.7/ 2 = 3.35
Radius = 3.35^2
Circle = pie x 3.35^2
pie x 11.2225 = 35.25652355
35.25652355 estimated = 35.26
Solve this word problem: Hamburgers come in packs of 10. Hamburger buns come in packs of 8. What is the smallest amount of each I could purchase if I wanted to have the same amount of both hamburgers and buns?
Using LCM we would need to purchase 4 packs of hamburgers and 5 packs of buns to have the same amount of both.
To solve this word problem and find the smallest amount of hamburgers and buns you could purchase to have the same amount of both, we need to determine the least common multiple (LCM) of the pack sizes (10 for hamburgers and 8 for buns).
Step 1: List the multiples of each pack size.
- Multiples of 10: 10, 20, 30, 40, 50, ...
- Multiples of 8: 8, 16, 24, 32, 40, ...
Step 2: Identify the least common multiple.
- The LCM of 10 and 8 is 40.
So, the smallest amount of each you could purchase to have the same amount of hamburgers and buns is to buy 4 packs of hamburgers (4 x 10 = 40) and 5 packs of buns (5 x 8 = 40).
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please
Describe the graph of each equation as a transformation of the graph y=5^x.
1. y=3(5)^x
2. y=1/3 5^x
3. y=-5^x
5% tip of a bill of 38.61
Answer:
$1.93
Step-by-step explanation:
38.61 x 5 % = 1.93
calculate
Answer: $1.93
Step-by-step explanation:
Since we are paying a 5% tip, we will find 5% of the total bill.
A percent divided by 100 becomes a decimal.
5% / 100 = 0.05
Next, "of" means multiplication in mathematics.
0.05 * 38.61 = $1.93
Las dos ruedas traseras de un tractor tienen un perímetro 90 cm mayor que las delanteras. En un camino de 230 metros, las ruedas traseras giran 36 veces menos que las ruedas delanteras. ¿Cuál es el perímetro de las ruedas?
How many weeks are in 1,095
Answer:
The answer to your problem is about, 156 weeks
Step-by-step explanation:
We can first divide it by 7.
We need to divide it by 7 because there is 7 days in a week which is:
1,095 ÷ 7 = 156.428571429.
Rounded; 156 weeks
Thus the answer to your problem is, 156 weeks
Because of the pandemic, consumers stop going to gyms and cancel their memberships in record numbers. Consequently, the price of gym memberships fall. (highlight one)Movement along a fixed supply curve. Shift in the supply curve
Answer:answer 2
Step-by-step explanation:
2
In a circle, chords AB and CD intersect at E. If AE = 21, EB = 5, and ED = 7, find CE.
Applying the intersecting chords theorem, the length of segment CE is calculated as: 15.
How to Apply the Intersecting Chords Theorem?Based on the intersecting chords theorem, we can create the following equation using the given information of the segments formed by the intersecting chords in the circle given:
AE * EB = CE * ED
Given the following:
AE = 21,
EB = 5,
ED = 7
CE = ?
Plug in the values:
21 * 5 = CE * 7
105 = CE * 7
105/7 = CE
CE = 15
The length of segment CE is: 15.
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Which of the following graphs shows a line with a slope of zero
Answer:
The line that shows a slope of Zero is Graph D
Use the graph to answer the question.
Graph of polygon VWXYZ with vertices at negative 8 comma 2, negative 8 comma 0, negative 5 comma negative 7, negative 2 comma 0, negative 2 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at negative 8 comma negative 8, negative 8 comma negative 6, negative 5 comma 1, negative 2 comma negative 6, negative 2 comma negative 8.
Determine the line of reflection.
Reflection across y = −3
Reflection across the y-axis
Reflection across x = −5
Reflection across the x-axis
The line of reflection are across the y-axis.
Given data is,
Let the polygon be represented as VWXYZ
Now , the coordinates of the polygon is given as
The coordinate of V = ( -8 , 2 )
The coordinate of W = ( -8 , 0)
The coordinate of X = ( -5 , -7 )
The coordinate of Y = ( - 2 , 0 )
The coordinate of Z = ( - 2 , 2 )
Now , the translated polygon is having the coordinates as
The coordinate of V' = ( -8 , 8 )
The coordinate of W = ( -8 , 6)
The coordinate of X = ( -5 , 1 )
The coordinate of Y = ( - 2 , -6 )
The coordinate of Z = ( - 2 , -8 )
Clearly, x coordinate will be same but y coordinate will be change.
Hence, The line of reflection are across the y-axis.
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Answer: y = -3
Step-by-step explanation:
Pablo quiere instalar un armario para guardar la tabla de planchar. Si dispone de un hueco en su cocina de 60cm de ancho, cuales seran las medidas minimas de fondo y de alto del armario nuevo?
la plancha tiene una base de 38cm y altura de 135cm
The minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).
What is coordinate geometry?
Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. It is also known as analytic geometry or Cartesian geometry.
To install an ironing board cabinet in a 60cm wide space, the minimum dimensions required for the depth and height of the cabinet would be:
Depth: The cabinet needs to be deep enough to accommodate the ironing board base, which is 38cm wide. Adding a few centimeters for clearance and ease of use, a depth of at least 50cm would be recommended.
Height: The cabinet needs to be tall enough to fit the entire height of the ironing board, which is 135cm. Adding a few centimeters for clearance and to ensure that the board fits comfortably inside the cabinet, a height of at least 140cm would be recommended.
Therefore, the minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).
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If x = 3, solve for y.
y = 2.3x
First plug in the value of x into the equation.
y = 2.3[?]
Answer
Enter 3 in the green box
Further explanation
It tells us to plug in the value of x, which is 3
so we have
[tex]\sf{y=2*3^3}[/tex]
Then you do exponents
[tex]\sf{y=2*27}[/tex]
Then you multiply
[tex]\sf{y=54}[/tex]
An airplane flies 1062 km with the wind. In the same amount of time it can fly 738 km against the wind. The speed of the plane in still air is 200km/h. Find The speed of the wind
The speed of the wind is approximately 18.8 km/h.
Now, let's use the information we have to set up some equations. We know that the distance the airplane can fly with the wind is 1062 km, and that it covers this distance in the same amount of time as it takes to fly 738 km against the wind. We can use the formula:
distance = speed x time
to write equations for these situations. For example, when flying with the wind:
1062 = (200 + w) x time
And when flying against the wind:
738 = (200 - w) x time
Now, we can solve for the unknown variable, which in this case is the speed of the wind. Let's rearrange the first equation to solve for time:
time = 1062 / (200 + w)
And the second equation:
time = 738 / (200 - w)
Since the time for each trip is the same, we can set these two expressions equal to each other and solve for w:
1062 / (200 + w) = 738 / (200 - w)
To solve for w, we can cross-multiply and simplify:
1062(200 - w) = 738(200 + w)
212400 - 1062w = 147600 + 738w
3442w = 64799
w = 18.8
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what is -1 2/5 - (- 4/5) rationales
Answer:
-3/5
decimal form: -0.6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
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Jane and Sarah share £63. Jane receives
5/9
of the money. Find how much money Sarah receives
If Jane and Sarah share an amount of £63 and Jane receives "5/9" of money, then the amount of money Sarah receives is £28..
The total amount that needs to be shared between Jane and Sarah is = £63,
We know that , Jane receives "5/9" of the total amount,
Which means , Jane receives = (5/9)×63 = £35,
The total-sum of money is = £63,
So, We can write,⇒ Total money = Jane + Sarah,
Substituting the values ,
We get,
⇒ 63 = 35 + Sarah,
⇒ Sarah = 63 - 35 = £28.
Therefore, Sarah's share of money is = £28.
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According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. A school official hopes to show the percentage is lower in his district, testing H0: p=0.173 versus Ha: p>0.173.
The health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana.
Is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
Yes, the sample size condition for conducting a hypothesis test for a population proportion is satisfied.
The minimum sample size required for a hypothesis test for a population proportion is n*p>=10 and n*(1-p)>=10, where n is the sample size and p is the hypothesized population proportion. In this case, the sample size is 80 and the hypothesized population proportion is 0.173. Therefore, n*p=80*0.173=13.84 and n*(1-p)=80*0.827=66.16, both of which are greater than or equal to 10. Therefore, the sample size condition is satisfied. Since both of these values are greater than or equal to 10, the sample size condition is satisfied.
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Find the measure of arc AB
measure of arc AB = 2 × 82
= 164
It is a rule there isn't much to say :>
I don’t feel like doin this
By using the rotated image's new location, the new points are:
A (2, 2) A' (2, -2).
B (8, 6) B' (6, -8).
C (6, 2) C' (2, -6).
A (2, -4) A' (-2, 4).
B (8, -2) B' (-8, 2).
C (7, -7) C' (-7, 7).
A (-6, -5) A' (5, 6)
B (0, -2) B' (2, 0)
C (-2, 9) C' (9, -2).
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (y, -x)
Coordinate A = (2, 2) → A' = (2, -(2)) = (2, -2)
Coordinate B = (8, 6) → B' = (6, -(8)) = (6, -8)
Coordinate C = (6, 2) → C' = (2, -(6)) = (2, -6)
Also, we would apply a rotation of 180° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (-x, -y)
Coordinate A = (2, -4) → A' = (-2, -(-4)) = (-2, 4)
Coordinate B = (8, -2) → B' = (-8, -(-2)) = (-8, 2)
Coordinate C = (7, -7) → C' = (-7, -(-7)) = (-7, 7)
Lastly, we would apply a rotation of 270° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (-y, x)
Coordinate A = (6, -5) → A' = (-(-5), 6) = (5, 6)
Coordinate B = (0, -2) → B' = (-(-2), 0) = (2, 0)
Coordinate C = (-2, -9) → C' = (-(-9), -2) = (9, -2).
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A cylinder and a cone have the same volume. The cylinder has radius x
and height y
. The cone has radius 12x
. Find the height of the cone in terms of y
.
A cylinder and cone having the same volume. The cylinder having radius x and height y. The cone has radius 12x. Then, the height of the cone in terms of y is 48h.
The volume of the cylinder will be given by the formula V_cylinder = [tex]πr^{2h}[/tex], where r is radius and h is height. The volume of a cone is given by the formula V_cone = (1/3)[tex]πr^{2h}[/tex], where r is the radius and h is the height.
Since the cylinder and cone have the same volume, we can set their volume formulas equal to each other and solve for the height of the cone;
[tex]πX^{2y}[/tex] = (1/3)[tex]π(12X)^{2h}[/tex]
Simplifying, we get;
[tex]πX^{2y}[/tex] = [tex]π144X^{2h/3}[/tex]
Dividing both sides by [tex]πX^{2}[/tex], we get;
y = 144h/3
Simplifying further, we get;
y = 48h
Therefore, the height of the cone in terms of y is h = (1/48)y.
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A coin is flipped 200 times. The table shows the frequency of each event.
Outcome Frequency
Heads 96
Tails 104
Determine the experimental probability of landing on tails.
50%
52%
96%
104%
Answer:
52%
Step-by-step explanation:
Since the question asks about tails, we don't need the information about heads.
So out of 200 flips, 104 were tails. If we put 104 out of 200 in fraction form, you get;
104
-----
200
Now we just divide;
104/200 = 0.52, also known as 52%
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What is the probability of student who are into sports and theater a. 1/26 b. 35/52 c. 6/13 d. 5/26
The probability of students who are neither into sports and theater is 11/13, under the condition that 2 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre. Then, the correct option is Option C.
Total number of students that play sports = 12
Total number of students who perform in theater =10 Total number kf student who do the both= 4
Therefore,total number of students = 12+10+4 = 26
Then, the number of students that are neither into sports nor theatre = Total number of students - Number of students who are in both sports and theatre
= 26 - 4 = 22.
Now, the probability of students that are neither into sports nor theatre = Number of students who are neither into sports nor theatre / Total number of students
= 22 / 26
= 11 / 13
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The complete question is
What is the probability of student who are neither into sports and theater if 12 students play sports, 10 students perform in theatre and the rest 4 are in both sports and theatre .
a. 1/26
b. 35/52
c. 11/13
d. 5/26
A technology manufacturer must test a sample of smartphones to ensure that quality and safety standards are met. Which of these methods will produce the most representative sample of the population of smartphones made by this company?
The condition where the manufacturer tests every 500th smartphone off the production line, is the method that will produce the most representative sample of the population of smartphones made by this company. Therefore, the correct answer is option D.
This method involves selecting smartphones at regular intervals, regardless of when they are produced or what day of the week it is. By selecting every 500th smartphone, the sample will be more likely to represent the entire smartphone population produced by the company. This method is also efficient and cost-effective since the manufacturer does not need to test every single smartphone.
The other options have potential drawbacks that may make them less representative.
Testing only the first smartphone off the production line each day (option A) may not be representative of variations in the production process causing the first smartphone to be different from the rest. Testing only the last 1000 smartphones produced each month (option B) may also not be representative if there are variations in production processes that occur over longer periods. Testing every smartphone made on Wednesday (option C) may not be representative of variations in the production process occurring over different days of the week.Know more about sample and population,
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A parabola crosses the x axis at -1 and 7
Answer:7y
Step-by-step explanation:
lynn and dawn tossed a coin 60 times and got heads 33 times. what is the probability of tossing heads using lynn and dawn's results?
Answer:
55%
Step-by-step explanation:
33 is 55% of 60
and 11/20 = 33/60=0.55
Simplify Square root of 726
PLS hELPPPPPPPPP
Answer:
The prime factorization of 726 is 2 × 3 × 121 or 2 × 3 × 11². Simplifying the square root of 726, we can take the square root of each factor and simplify as follows:
√726 = √(2 × 3 × 11²) = √2 × √3 × 11 = 11√6
Therefore, the simplified form of the square root of 726 is 11√6.
Step-by-step explanation:
Answer: The square root is 26.9443871706 but simplied is 11/6
Step-by-step explanation:
you would write the number on the paper and then
your discussion with operation managers resulted in you being curious whether certain times of the day were more profitable than the others. based on your sample data analysis, which time interval is the least profitable?
By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.
To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.
The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.
Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.
This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.
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