Final answer:
Geometric transformations include translations, rotations, reflections, and dilations; while the first three preserve figure size and shape, dilations change the size of the figure by a scale factor.
Explanation:
Geometric transformations include translations, rotations, reflections, and dilations, all of which change a figure's position and/or size on the plane while maintaining the straightness of lines and parallelism where applicable. These transformations are similar in that they can be applied to geometric figures to alter their position or size within a coordinate system. A major difference between dilations and the other transformations is that dilations change the size of the figure but do not preserve angles and lengths in the same way as the others. A dilation either enlarges or shrinks a figure by a scale factor from a central point, while translations, rotations, and reflections do not alter the size of the figure, only its position or orientation.
1:2=3:
Find the mising number
Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true? Select EACH correct answer.
A If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
B Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
C To estimate the percentage well, she would need to collect data for all 35,000 families.
D Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
Statements A and B are true
Let's analyze each statement based on statistical principles:
A: This statement is true. Increasing the sample size to 1,000 families would yield a better estimate of the true proportion of families owning at least one computer. A larger sample size reduces the margin of error, making the estimate more precise.B: This statement is true. Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer. Random sampling helps in representing the population accurately.C: This statement is false. Collecting data from all 35,000 families, though more accurate, is impractical and unnecessary. A well-conducted survey with a good sample size can provide a reliable estimate.D: This statement is false. Even though the sample size is 500 families, it can still provide a reasonable estimate for the percentage of families owning a computer if randomly selected.Conclusion
Statements A and B are correct, as they follow good statistical sampling practices. Statements C and D are not accurate in the context of the given scenario.
the local Swim Center is making a special offer they regular charge is $7 per day to swim at the pool the special offer would have swimmers pee in their room and fee of $30 and then a daily pass will only be $4 a day
The regular and fixed charges are shown by forming the equation and shown in the table.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Suppose the number of days be x.
Then, as per the question the cost as per the regular charge is $7x.
And, for the offer it is given as $30 + 4x.
Now, the cost for both charges can be calculated for 10 consecutive days as below,
Regular Charge :
For x = 1, 7 × 1 = $7
The table for the given case can be shown as below,
Number of Days Regular Charge Offer Charge
1 $7 30 + 4 × 1 = $34
2 7 × 2 = $14 30 + 4 × 2 = $38
3 7 × 3 = $21 30 + 4 × 3 = $42
4 7 × 4 = $28 30 + 4 × 4 = $46
5 7 × 5 = $35 30 + 4 × 5 = $50
6 7 × 6 = $42 30 + 4 × 5 = $54
7 7 × 7 = $49 30 + 4 × 5 = $58
8 7 × 8 = $56 30 + 4 × 5 = $62
9 7 × 9 = $63 30 + 4 × 5 = $66
10 7 × 10 =$70 30 + 4 × 5 = $70
Hence, the table for both the charges is formed.
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You are going to the State Fair and would like to play one carnival game with the hopes of winning a prize. You can only choose one game to play and want to choose strategically so that you increase your chances of winning. Find the probability of winning each game below and explain HOW you found the probability for each game.
With that information, what game you will play? Explain.
Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a page in her social studies book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Language arts 78.5 60 14.2
Social studies 68.7 65 9.8
She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?
Yes, because there is a lot of variability in the language arts book data
No, because there is a lot of variability in the language arts book data
Yes, because the mean is larger in the language arts book
No, because the mean is larger in the social studies book
The correct choice is, No, because there is a lot of variability in the language arts book data.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
From the given data, it is clear that the mean number of pages of language arts book is greater than that of social studies book.
However, the mean absolute deviation is greater for language arts book and median is lower for language arts book.
This clears the fact that the variability is high for language arts book. So the number of pages could actually be less than that in social studies book.
Hence the correct option is that we cannot say a valid inference because there is a lot of variability in the language arts book data.
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Use the given set of data values to answer the question below. 32, 21, 68, 21 Which measure of central tendency would prove to be most effective in emphasizing how small the data values are?
Find the center of the circle (x - 3)2 + (y + 3)2 = 36.
A) (3, 3)
B) (3, -3)
C) (-3, 3)
D) (-3, -3)
Answer:
B) 3,-3
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
units²
Given is the irregular hexagon.
We can divide the given figure into two triangles and one rectangle, and then find areas of each, and then add all of them to find the final answer.
We can find the dimensions by counting the blocks on graph. Given two triangles are identical in shape with base (b=7) and height (h=2).
The area of triangle [tex] =\frac{1}{2} bh = \frac{1}{2} (7)(2) = 7 [/tex] squared units.
Area of two triangles = 14 squared units.
Rectangle has length (l) same as base (b) of triangle i.e. l=7 and width (w=4).
Area of rectangle = l × w = 7 × 4 = 28 squared units.
Total area = 14 + 28 = 42 squared units.
So, final answer is 42 squared units.
Answer:
[tex]42[/tex] [tex]units^2[/tex]
Step-by-step explanation:
A simpler and faster way of solving this problem is through Pick's Theorem.
The theorem states that the area of any given shape (Specifically polygons) on a grid is the number of internal points (every point inside the shape) added to the quantity of the number of boundary points (Every point that is exactly on a point of the grid and is a part of the perimeter of the shape) divided by 2. Take this quantity and subtract 1 and it shows like so,
[tex]A=I+\frac{B}{2}-1[/tex].
In this case, we see that there are 36 internal points and 14 boundary points. So in turn, we get
[tex]A=36 + \frac{14}{2}-1\\A=36+7-1\\A=43-1\\A=\boxed{42}[/tex]
Hence giving our desired result of 42 square units.
A Number with a zero as an exponent is equal to 0
Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to group the two of the address. Explain how you found the sum.
Sum Using Associative property of addition
A+(B+C)=(A+B)+C=(A+C)+B
→301 + 173 + 427
=301 +(173+427)------Combining 173 and 427 first ,as adding unit digit of both three digit number gives 0.
=301 + 600
=901
⇒Using mental math
Add Hundreds=300+100+400
=800
Add tens=73+27
=100
Ones=1
Combine these three numbers
=800+100+1
=901
1. which of the following is true and radio waves?
A. they have high energies
B. they reveal hot gasses
C. they can penetrate dist clouds
D. they have short wavelengths
2. which of the following is used in medical imagery?
A. ultraviolet light
B. blue light
C. radio waves
D. X-rays (I think this is it)
3. which of the following has the longest wavelength?
A. Red light
B. radio waves
C. microwaves (I don't know if this is like the kitchen appliance or something else)
D. infrared light
Answer:
Step-by-step explanation: Sorry im late but here is answers pls brainliest
2.08 Quiz: Electromagnetic Spectrum
C) Radio waves can penetrate distant clouds, D) X-rays are used in medical imaging, and B) radio waves have the longest wavelength.
Explanation:1. C. they can penetrate distant clouds.
Radio waves have longer wavelengths than visible light, which allows them to easily pass through clouds. They are often used in weather radar to detect precipitation and study the atmosphere.
2. D. X-rays
X-rays are commonly used in medical imaging techniques such as X-ray machines and CT scans. They have higher energy than visible light and can penetrate through soft tissues, making them useful for examining bones and internal organs.
3. B. radio waves
Radio waves have the longest wavelength among the given options. They are used for various purposes, including communication, broadcasting, and studying celestial objects in radio astronomy.
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Rule start at 1/2, add 1/3
What is the factorization of the trinomial below? x3 - 10x2 + 24x
Answer:
x³ - 10x² + 24x = x(x² - 10x + 24) =
x(x - 6)(x - 4)
What is the perimeter of a 4 m and 5 m rectangle
Intervals should be of unequal size. True False
The size of intervals depends upon the type of question. However, the equal intervals help in organizing and analyzing the data.
Most of the mathematical formula are also applicable only on equally sized interval data.
In the diagram ,M//N . Identify all of the angles that are congruent to 2
Answer:
Angles 4, 6 and 8.
Step-by-step explanation:
Let α and β be two angles, these will be congruent angles if they have exactly the same measure, that is, α = β.
A line that cuts two parallels forms congruent angles.
When two intercept lines form 4 angles. Those that are opposite to each other are vertical angles, these are always congruent.
In the diagram you can see that the angles congruent to 2 are: 4, 6 and 8.
Angle 4 is opposite to the angle 2, therefore it is congruent.
Angle 6 has the same measure of angle 2 because the lines m and n are parallel.
Angle 8 is opposite angle 6, so it is congruent to angle 2 which is equal to angle.
Hope this helps!
Which angle measure in the triangle shown is the largest?
A.)
B.)
C.)
D.) Not Possible
If there was 7 ounces of meat and cheese on each sandwich how many sandwiches were made in the hour and the shop owner used total of 91 combained ounces of meat and cheese?
A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
1000 of the coins weigh about ______ pounds.
Answer:
1000 of the coins weigh about 5.1 pounds.
Step-by-step explanation:
Consider the provided information.
A coin weighs about 14^−2pounds.
This can be written as:
[tex]14^{-2}=\frac{1}{14^2}=\frac{1}{196}[/tex]
Now we need to find the weight of 1000 coins.
To find this simply multiply the weight of one coin with 1000.
[tex]\frac{1}{196}\times 1000=5.10\approx 5.1[/tex]
Hence, 1000 of the coins weigh about 5.1 pounds.
a cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.
you have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop the painting is 65in high by 105in wide. you are asked to use a 1in=5in scale. what will the dimensions of your poster be? show your work
The painting is 65in high by 105in wide.
We have to use a 1in=5in scale to make a scale drawing poster of a painting to sell at the gift shop
The dimensions of the poster will be as follows:
Height of the poster = 65/5 = 13 in
Width of the poster = 105/5 = 21 in
Therefore, the dimensions of your poster be 13in high and 21in width
Hope this helps ..!!
Thank you :)
Lorelei filled her 5-gallon jug water. How many times could she fill her 2-quart canteen with water from the jug? Explain.
Answer: 10 times
Step-by-step explanation:
A car’s original price was $26,500. Mr. Thomas paid $21,730. What percent discount did Mr. Thomas receive on the car?
Final answer:
Mr. Thomas received an 18% discount on the car purchased for $21,730 from an original price of $26,500.
Explanation:
Mr. Thomas received a discount on the car he purchased, and we can calculate the percent discount using the original price and the sale price. The formula for percent discount is: Percent Discount = ((Original Price - Sale Price) / Original Price) × 100%. Applying this to the given numbers:
Original Price = $26,500
Sale Price = $21,730
The difference between the original price and the sale price is the discount amount:
Discount Amount = Original Price - Sale Price
Discount Amount = $26,500 - $21,730
Discount Amount = $4,770
Now we use the formula to calculate the percent discount:
Percent Discount = ($4,770 / $26,500) × 100%
Percent Discount = 18%
Therefore, Mr. Thomas received an 18% discount on the car.
Jennas garden is 5 yd long. How long is her garden in feet?
A storage tank has a height of 10 feet and a radius of 3 feet. The tank is 1/4 full of oil. How much oil in cubic feet is currently in the cylindrical tank? Leave in terms of pi
The amount of oil currently in the cylindrical tank is 45π cubic feet.
What is volume?Volume is the capacity of a solid object.
To calculate the capacity of the oil in the cylindrical tank, we use the answer below.
Formula:
V = πr²h/4........... Equation 1Where:
V = The volume of oil in the tankh = Height of the tankr = radius of the tank.From the question,
Given:
h = 10 feetr = 3 feetSubstitute these values into equation 1
V = π×10×3²/2V = π×5×9V = 45π cubic feetHence, the amount of oil currently in the cylindrical tank is 45π cubic feet.
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The volume of oil currently in the cylindrical tank that is 1/4 full is (90/4) cubic feet.
To determine how much oil in cubic feet is currently in the cylindrical tank when the tank is 1/4 full, we use the formula for the volume of a cylinder, V =
2h, where r is the radius and h is the height. In this case, the radius is 3 feet and the height of the oil will be 1/4 of the total height of the tank.
First, calculate the volume of the entire tank:
Vtotal = 2h = 2(10). Plugging in the values we get
Vtotal =
(3)2(10).
Since the tank is 1/4 full, the volume of oil in the tank will be 1/4 of the total volume: Voil = (1/4)Vtotal = (1/4)
(3)2(10) = (9/4)
(10) = (90/4)
.
Therefore, the volume of oil in the tank is (90/4) cubic feet.
Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.
i really need help
;-;
Katrin’s monthly payment for electricity went down from £38.60 to £34.20 she thinks this means that her monthly payment has gone by 1/6. Is katrin correct? Show how you think this?
Katrin's claim about her monthly payment going down by 1/6 is incorrect.
Explanation:To determine if Katrin's monthly payment has gone down by 1/6, we need to compare the difference between her old monthly payment (£38.60) and new monthly payment (£34.20) with 1/6 of her old monthly payment. Taking 1/6 of £38.60, we get £6.43.
The actual difference between her old and new monthly payment is £38.60 - £34.20 = £4.40. This difference is not equal to £6.43, so Katrin's claim is incorrect.
Therefore, Katrin's monthly payment has not gone down by 1/6.
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How do you write 3.42 in words
can you help me with this problem I can't find it out