find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
The incorrect statement is
The transformation can be represented by (7/3x, 7/3y)What is Dilation in Transformation?In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.
A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.
The scale factor used in the dilation is 9/7 instead of 7/3.
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Suppose r varies directly with the square of m and inversely as s. If r= 12 when m = 6 and s=4, find r when m = 4 and s 10
please show work
Answer:
\(r=\frac{32}{15}\)
Step-by-step explanation:
If r varies directly with the square of m and inversely as s,
then \(r=\frac{km^2}{s}\) where k is some constant
Given r = 12 when m = 6 and s = 4:
\(r=\frac{km^2}{s}\)
⇒ \(12=\frac{k6^2}{4}\)
⇒ \(\frac{12\times4}{6^2} =k\)
⇒ k = \(\frac{4}{3}\)
Therefore, substituting the found value of k into the original equation: \(r=\frac{4m^2}{3s}\)
Find r when m = 4 and s = 10:
\(r=\frac{4m^2}{3s}\)
⇒ \(r=\frac{4\times4^2}{3\times10}\)
⇒ \(r=\frac{32}{15}\)
The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and 130 A 100% B 95% C 68% D 99.7%
Option (B) is correct. Thus, percentage of students with scores between 70 and 130 is 95% .
The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation.
It reveals the average deviation of each score from the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that √(5.2/5) = 1.01 will be the standard deviation.
Here:
μ = 100, σ = 15
Thus we have
30 μ - kσ = 70
= 100 – k(15) = 70
= k= 30/15 = 2
Also we have, μ + Ασ: = 130
100+ k(15) = 130
k = 30/15 = 2
Now, the percentage of students with scores between 70 and 130 is same as the percentage of students between μ - 2σ, μ+ 2σ and by empirical rule the area between μ (+-) 2σ is 95%. Thus, percentage of students with scores between 70 and 130 is 95%
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What is the volume of a cone with a height of 27 cm
and a radius of 13 cm? Round your answer to the
nearest tenth.
Use the button on your calculator to complete this
problem.
V=
cm3
Answer:4778.3 cm^3
Step-by-step explanation: The formula for volume of a cone is V=1/3h pi r^2. By plugging in the height and the radius we get our answer.
Answer:
4778.4 :)
Step-by-step explanation:
8 POINTS WILL BE GIVEN!!
Answer:
x=39 degrees
Step-by-step explanation:
Which of the points below, when plotted on the graph, would connect with the other two points to form an isosceles triangle?A.(3,4)B.(6,3)C.(4,6)D.(2,5)
Answer:
c I believe
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,
Answer:
C
Step-by-step explanation:
i took the same test
I NEES HELP STATISTICS
If a fair coin is tossed 4 times, what is the probability, rounded to the nearest
thousandth,
of getting at most 1 heads?
Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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what is another name for the height of a pyramid?
Answer:
Altitude of a Pyramid
Step-by-step explanation:
Since you are calculating the height of a 3-Dimensional Object, you start from the base of the shape, and work your way up. Therefore, this is also called altitude. Example: a plane taking off, gaining altitude. Hope this helps!
given n points on a 2d plane. find the maximum number of points which can be covered by a rectangle with length x and breadth y. a point is said to be covered by a recatangle if it lies on the sides or inside the rectangle.
Due tο the 90 degree angle created by the axes at the origin and the measurements at point p, the system is knοwn as being rectangular.
What is Cartesian coordinate system?
A Cartesian coordinate system in a plane is a system of cοordinates that uniquely identifies each pοint by a pair of numerical coordinates. The coordinates (Xp, Yp) shοw where point p is in relation to the origin. Because the angle created by the axes at the οrigin and the angle created by the measurements at point p are bοth 90 degrees, the system is referred tο as rectangular. Thus, the measurement has sides of Xp and Yp, fοrming a rectangle.
These numerical coοrdinates are the signed distances from two fixed perpendicular οriented lines to the point, measured in the same unit of length.
In any case, for any convex polygon (including rectangle) the test is very simple: check each edge of the polygοn, assuming each edge is oriented in cοunterclockwise direction, and test whether the point lies tο the left of the edge (in the left-hand half-plane). If all edges pass the test - the pοint is inside. If at least οne fails - the point is outside.
In order to test whether the point (xp, yp) lies οn the left-hand side οf the edge (x1, y1) - (x2, y2), you just need tο calculate
D = (x2 - x1) * (yp - y1) - (xp - x1) * (y2 - y1)
If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the pοint is on the line.
The previous versiοn of this answer described a seemingly different version οf left-hand side test . But it can be easily shοwn that it calculates the same value.
In order to test whether the point (xp, yp) liesοn the left-hand side of the edge (x1, y1) - (x2, y2), yοu need to build the line equation for the line containing the edge. The equatiοn is as follows
A × x + B × y + C = ∅
where
A = -(y2 - y1)
B = x2 - x1
C = -(A * x1 + B * y1)
Now all you need to dο is to calculate
D = A * xp + B * yp + C
If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the point is on the line.
However, this test, again, wοrks for any convex polygon, meaning that it might be too generic fοr a rectangle. A rectangle might allow a simpler test... For example, in a rectangle (οr in any other parallelogram) the values of A and B have the same magnitude but different signs for opposing (i.e. parallel) edges, which can be explοited to simplify the test.
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Jan has 18 cards. Ray gives her v cards. Jan now has less
than 30 cards.
Which best describes Jan's cards?
a
y + 18 < 30
Oь
1 – 18 > 30
c
V - 18 < 30
Od
v + 18 > 30
Question 4 25 points)
Answer:
A. V + 18 < 30
Step-by-step explanation:
First of all, less than is the sign that points to the left,
Secondly, I'm guessing that y is actually V,
Before Ray gave Jan cards, she had 18,
so it is 18 plus V (the number of cards Ray gave her),
SO,
V + 18 < 30
How do i do ghe work for -3/4=x/24
Answer:
x = -18
Step-by-step explanation:
-3/4 x 24 = x
-72/4 = x
x = -18
Step-by-step explanation:
- 3/ 4 = x / 24
4x = - 3 * 24
x = - 72 / 4
x = - 18
Hope it will help :)
pls help multiple choice
Answer:
256r^6/t^9
Step-by-step explanation:
start by dividing or simplifying the numbers on the fraction.
4096/16 = 256
Now you multiply the powers on top with the power outside the parenthesis. So (r^-2t^3)^-3
so you now have r^6 t^-9
your equation looks like 256 r^6 t^-9/r^0
But you can't have negative numbers for your powers so we are going to add/subtract with the bottom of the fraction. There are no t's to add/subtract so the t's move to the bottom and become positive. the r has a 0 power so it goes away.
Your equation is now. 256r^6/t^9
Hope that made sense. Good luck!
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
Maddie plots point A (1,3). She then translates
it using the rule (x-2, y-1) and dilates the image
centered at the origin with a scale factor of 3.
HELPP
The coordinates of the points after (x - 2, y - 1) and dilating by 3 is
(- 3, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, Maddie plots point A (1, 3).
She then translates it using the rule (x - 2, y - 1) which now becomes
(1 - 2, 3 - 1)
= (-1, 2) and dilates the image centered at the origin with a scale factor of 3.
∴ The new coordinates are (-1×3, 2×3) = (- 3, 6).
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Let S={1,4,8,16,32,64} be a sample space. If P(1)=132 and P(2k)=21−k for 2≤k≤6, find the expected value of the event E={1,8,32,64}. Give your answer as a fraction in its simplest form. Provide your answer below:
Answer:
Step-by-step explanation:
193/32
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
A research company wants to determine whether there is a difference in effectiveness of a brand-name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let equal the mean of the effectiveness of brand-name ibuprofen and equal the mean of the effectiveness of generic ibuprofen
The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.
The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:
The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.
Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.
These hypotheses can be expressed symbolically as follows:
H0: _generic = _brand-name\\
Ha: _trademark _generic
Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
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Answer:
H0: μ1 – μ2 = 0
Ha: μ1 – μ2 ≠ 0
Step-by-step explanation:
took the quiz :)
3) Find an estimated product.
59 x 42 = ?
Oa.) 50 x 40 = 2500
Ob.) 60 x 50 = 3500
Oc.) 60 x 40 = 2400
Answer:
c.
Step-by-step explanation:
we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.
59 is much closer to 60 than to 50.
42 is much closer to 40 than to 50.
of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.
and the sum of the differences of the factors should be as close to 0 as possible.
so, 60×40 is the closest and therefore best estimation.
the sum of the factor differences is (+1 - 2) = -1.
compare to the real result :
59×42 = 2,478
answer a and b are by the way not correct :
50×40 = 2000 (and not 2500)
60×50 = 3000 (and not 3500)
FYI - in this case 50×50 = 2500 would be the closest estimation.
and the sum of the factor differences would be (-9 + 8) = -1.
normally, this wide "jumping" (-9 to +8) would make it only second choice.
Write an expression to describe the situation. "Your vacation costs you $500 for the airplane ticket plus $100 per day (d).
Answer: 500 + 100d
Step-by-step explanation:
trust, cmon g
Answer:
500+100(x)
Step-by-step explanation:
i not 100% sure, but i hope this helps
3
2
1
-1
-2
-3
Determine the period.
2
4
6
8
10 12 14
The calculated period of the function is 12
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Using the above as a guide, we have the following:
Period = 13 - 1
Evaluate
Period = 12
Hence, the period of the function is 12
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-16 + 5x = -7(-6 + 8x) + 3 solvde for x
Answer:
X=1
Step-by-step explanation:
A high school teacher recorded the number of hours each of his students spent on a social networking website in a particular week and related this with their scores on a math test they took at the end of the week. The data is represented in the scatter plot.
Qualitatively evaluate the information in the scatter plot. An acceptable estimate for the graph's correlation coefficient could be
[ Select
1.00
0.75
0.15
0.55]
Based on the data, we can conclude that the time students spent on the social networking website had a
[ Select
week or insignificant
strong and positive
strong and negative
moderate and negative]
effect on their performance on the test.
Answer:
theres the picture tysm
Qualitatively evaluate the information in the scatter plot. An acceptable estimate for the graph's correlation coefficient could be
[ Select
1.00
0.75
0.15
0.55]
Based on the data, we can conclude that the time students spent on the social networking website had a
[ Select
week or insignificant
strong and positive
strong and negative
moderate and negative]
effect on their performance on the test.
PLEASE DO IT it is due in 5 minutes
Esteban bought a bag of candies that come in different colors. They
like the orange candies the least.
How many orange candies are
in each bag?
40 pieces
25% are orange
Bag A
CANDY
Bag B
CANDY
60 pieces
10% are orange
How many orange candies are in bag A?
How many orange candies are in bag B?
I will mark brainliest to whoever answers first
The bag with 40 candies has 10 orange ones
bag with 60 pieces has 6 orange ones
Help please this is due soon
Which of these is an example of multi-stage sampling?
a.) Randomly selecting elements from the entire population of New York
b.) Dividing the total population of New York Into groups and then selecting people in proportion
from these groups.
C.) Dividing the population of New York Into groups and then making simple random samples
from those groups.
d.) Choosing New York as a sample, then selecting a sample of zip codes within New York, then
sampling the names of people living in those zip codes.
Answer:
The answer is D.) Choosing New York as a sample, then selecting a sample of zip codes within New York, then sampling the names of people living in those zip codes.
Explanation:
When you use multistage sampling, you take a sample from a population by breaking it down into smaller and smaller groupings (units) at each stage. It's frequently used in nationwide surveys to collect data from a big, geographically dispersed group of people. I hope I helped! ^-^
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation: