Answer: One way that Olivia might have found a combination of two transformations to move figure ABCDE onto figure A'B'C'D'E' is by using a combination of translations and rotations.
A translation is a type of transformation that moves a figure a certain distance in a specified direction, without changing its size or orientation. A rotation is a type of transformation that turns a figure about a fixed point, called the center of rotation, by a certain angle.
Olivia might have first translated figure ABCDE to a new location and then rotated it about a point to match the orientation of A'B'C'D'E'. For example, she could have translated figure ABCDE so that one vertex coincides with a corresponding vertex in A'B'C'D'E', and then rotated it about that common vertex so that the sides match up.
Alternatively, Olivia might have first rotated figure ABCDE to a new orientation and then translated it to the final position. The sequence of transformations could have been different, but the end result would still be figure ABCDE matching the orientation and position of A'B'C'D'E'.
Step-by-step explanation:
The slope line below is:
Answer: 4/3
Step-by-step explanation:
Look at the points (0,-4) (3,0)
Formula: y2-y1/x2-x1
Substitute: 0-(-4)/3-0 = 4/3
Please make me brainliest, I would also add you as friend if you make me brainliest!
Let's consider what the question asks for:
--> slope of line
The slope of the line is calculated by:
[tex]\text{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
--> where:
[tex](x_1,y_1)-- > \text{any one point on the line}\\\\(x_2,y_2)-- > \text{another point on the line}[/tex]
Let's find our points
[tex](x_1,y_1)-- > (3,0)\\\\(x_2,y_2)-- > (0,-4)[/tex]
Let's plug these points into our equation:
[tex]\text{Slope}=\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{-4-0}{0-3}=\dfrac{-4}{-3} =\dfrac{4}{3}[/tex]
Answer: 4/3
translate then solve:five times the difference of twice and number and three decreased by the sum of the number and 8 equals 13
Answer: x = 4
Step-by-step explanation:
Translating the problem into mathematical terms:
Let's call the number x. Then the problem can be written as:
5 * (2x - 3) - (x + 8) = 13
Expanding the left side of the equation:
5 * 2x - 5 * 3 - x - 8 = 13
Simplifying the left side of the equation:
10x - 23 - x - 8 = 13
Combining like terms:
9x - 31 = 13
Adding 31 to both sides of the equation:
9x = 44
Dividing both sides of the equation by 9:
x = 4.88888...
Since x has to be a whole number, we round down to the nearest whole number:
x = 4
Therefore, the number that satisfies the equation is 4.
The length of a rectangle is 4 in longer than its width.
If the perimeter of the rectangle is 40 in, find its area.
Answer:
Step-by-step explanation:
Let, width = x
length = x+4
perimeter, 2(x+4+x) = 40
4x+8 = 40
4x = 32
x = 8
so, (x+4) = 8+4 = 12
so, the area would be,
= 12 * 8 = 96 in²
13. ABCD is
a. Congruent
b. Similar
c. Neither
to A'B'C'D'.
pls help
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse \overline{AC}
AC
. If AD=7AD=7 and DC=5,DC=5, what is the length of \overline{BD}
BD
in simplest radical form?
The given assertion states that the length of BD in its simplest radical version is 7/√2.
In arithmetic, what is a triangle?A triangle is indeed a 3-sided shape that is occasionally (though not frequently) referred to as the trigon. There are three edges and three angles in every triangle, some of which could be the same.
Since BD is an altitude of the right triangle ABC, we can use the Pythagorean Theorem to find the length of BD. First, let's determine the size of AC:
AC² = AD * DC = 7 * 5 = 35
When we square the two edges, we obtain:
AC = √35
Now, we can use the fact that BD is an altitude to write:
BD = (AC * AD) / hypotenuse
where hypotenuse is the length of BC.
Using the Pythagorean Theorem, we can find the length of BC:
BC² = AC² + AB²
Since triangle ABC is a right triangle, we have AB = BC, so we can write:
BC² = AC² + BC²
Simplifying, we get:
BC² / AC² = 2
When we square the two edges, we obtain:
BC / AC = √2
Multiplying both sides by AC, we get:
BC = AC * √2 = √35 * √2 = √70
Now, we can substitute the values of AC, AD, and BC into the formula for BD:
BD = (AC * AD) / BC = (√35 * 7) / √70 = 7 / √2
Therefore, the length of BD in simplest radical form is 7 / √2.
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SOS. Please help with this……i Really need it!
The equation for the table is r = -3s + 15,
when s = 0, r = 15 and when s = 9, r = -12
the formula for Δr in terms of Δs is Δr = -3Δs.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given value of r is varying at a constant rate with respect to s,
given table for r and s
s(independent quantity) r(dependent quantity)
1 12
3 6
9 ?
12 -21
since both quantities vary at a constant rate so it is the condition of a linear equation,
y = mx + c
where m is the slope or the rate of change,
let s₁ = 1, s₂ = 3 and r₁ = 12, r₂ = 6
coordinates for graphs (1, 12) and (3, 6)
the equation is a form of s and r is
r = ms + c (because s is independent and r is dependent)
A: formula for Δr in terms of Δs is
Δr = mΔs
m = Δr/Δs = (6 - 12)/(3 - 1)
m = -3
Δr = -3Δs
the equation will be,
r = -3s + c
when s = 1 r = 12
12 = -3(1) + c
c = 15
the formula for r in terms of s is,
r = -6s + 15
B: the value of r when s = 0
r = -3(0) + 15
r = 15
and when s = 9
r = -3(9) + 15
r = -12
C: true and false;
i. The graph that represents s in terms of r is linear: True
ii. r is proportional to s: False, no r is not proportional to s because the relation between r and s has a constant
iii. Δr is proportional to Δs: True because the relation is Δr = -3Δs.
iv. The graph of r in terms of s is a straight line that passes through the origin (0, 0): False, because when s = 0 r = 15, so the graph does not pass from the origin.
Hence equation for r and s is: r = -3s + 15
when s = 9, r = -12 and when s = 0, r = 15
and Δr = -3Δs.
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find the largest possible value of $k$ for which $3^{11}$ is expressible as the sum of $k$ consecutive positive integers.
The largest possible value of [tex]$k$[/tex] is [tex]$k=3^{11}$[/tex].
Largest Sum of Consecutive IntegersLet [tex]$a_1, a_2, \ldots, a_k$[/tex] be the [tex]$k$[/tex] consecutive positive integers, such that [tex]$a_1 + a_2 + \ldots + a_k = 3^{11}$[/tex]. The average of these [tex]$k$[/tex] numbers is [tex]$\frac{a_1 + a_k}{2} = \frac{3^{11}}{k}$[/tex], which is an integer if and only if [tex]$k$[/tex] divides [tex]$3^{11}$[/tex].
The largest divisor of [tex]$3^{11}$[/tex] is [tex]$3^{11}$[/tex] itself, so the largest possible value of [tex]$k$[/tex] is [tex]$k=3^{11}$[/tex].
However, [tex]$k$[/tex] must also be an integer greater than 0, so the largest possible value of [tex]$k$[/tex] for which [tex]$3^{11}$[/tex] is expressible as the sum of [tex]$k$[/tex] consecutive positive integers is [tex]$3^{11} - 1 = 177147$[/tex].
This problem is about finding the largest number of consecutive positive integers whose sum is equal to a given number. In this case, the given number is [tex]$3^{11}$[/tex].
By using the formula for the sum of consecutive integers, the average of the numbers is calculated, and the requirement for this average to be an integer is used to find the largest possible value of [tex]$k$[/tex], which represents the number of consecutive positive integers. The solution shows that the largest possible value of [tex]$k$[/tex] is [tex]$177147$[/tex].
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Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V says: At least three of us are knights. W says: At most three of us are knights. X says: Exactly five of us are knights. Y says: Exactly two of us are knights. Z says: Exactly one of us is a knight. Which are knights? (Select all that apply.) U V w MX OY Z Which are knaves? (Select all that apply.) U V w MX Z X
In this type of puzzle, "knight" means that the speaker is telling the truth, and "knave" means that the speaker is lying.
Let's start by analyzing the first two statements:
U says: None of us is a knight.
V says: At least three of us are knights.
If U is a knight, then his statement is false, meaning that at least one of the six is a knight, which contradicts V's statement that at least three of them are knights. Therefore, U must be a knave.
Next, let's look at the statement of W:
W says: At most three of us are knights.
If W is a knight, then his statement is true, meaning that there are three or fewer knights among the six. Since U is a knave, this would mean that at most two of the remaining five are knights, which contradicts V's statement that at least three of them are knights. Therefore, W must be a knave.
Continuing in this way:
X says: Exactly five of us are knights.
If X is a knight, then his statement is false, meaning that exactly five of them are not knights. But since U is a knave, this means that U is a knight, which is a contradiction. Therefore, X must be a knave.
Y says: Exactly two of us are knights.
If Y is a knight, then his statement is true, meaning that exactly two of them are knights. Since U is a knave, this means that exactly two of the remaining five are knights, which means that W, X, Y, Z are knaves. This is consistent with all of the statements so far, so Y must be a knight.
Z says: Exactly one of us is a knight.
If Z is a knight, then his statement is true, meaning that exactly one of them is a knight. Since Y is a knight, this means that Y is the only knight, and U, V, W, X, Z are all knaves. This is consistent with all of the statements so far, so Z must be a knight.
Therefore, the knights are Y and Z, and the knaves are U, V, W, X.
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Find an ordered pair (x,y) that is a solution to the equation
Answer:
(3, -7)
Step-by-step explanation:
If you choose 3 as one of your x-coordinates, you simply need to solve for y to get -7 as your y-coordinate:
[tex]3x+y=2\\3(3)+y=2\\9+y=2\\y=-7[/tex]
The team chooses another site on the bank of the river, point A, and determines that the distance AB is 45 feet. They then move to another site, C, that is collinear with A and X. They measure to find that AC is 20 feet.
The team then moves from C to D, which is on a path parallel to Point D is also collinear with X and B. They measure CD to be 63 feet and measure BD to be 27 feet.
Based on this, what is the distance between X and B?
The distance between X and B is 67.5 feet for the given triangle.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
As per the given figure, we have two similar triangles, as below:
ΔXAB and ΔXCD are similar,
So AB/CD = BX/DX
45/63 = BX/(BX+BD)
45/63 = BX/(BX+27)
45(BX+27) = 63BX
63BX - 45BX = 1215
18BX = 1215
BX = 67.5
Thus, the distance between X and B is 67.5 feet.
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would someone be able to help me out with this problem? thank you so much if u can! been stuck on it for 20 minutes now
Answer:
Form W-2 is completed by an employer and contains important information that you need to complete your tax return. It reports your total wages for the year and the amount of federal, state, and other taxes withheld from your paycheck.
Form 1040 is used by U.S. taxpayers to file an annual income tax return.
Head of household offers wider tax brackets, a bigger standard deduction and faster eligibility for other write-offs.
Step-by-step explanation:
The Wilson family's back yard is a rectangular plot that has a length of 100 feet and a width of 80 feet. The family planted a garden with a length and width of 60 feet. The family planted a lawn in the remaining area of the back yard, as shown.What is the area, in square feet, of the lawn in the Wilson family's back yard?
The area of the lawn in the Wilson family's back yard is 4400 square feet.
The Wilson family's back yard is a rectangular plot that has a length of 100 feet and a width of 80 feet.
Let us assume that A₁ be the area of the reactangular plot.
Using the formula for the area of rectangle,
A₁ = 100 × 80
A₁ = 8000 sq. ft.
The family planted a garden with a length and width of 60 feet.
This means, the shape of the garden must be square.
Using the formula for the area of square,
A₂ = 60 × 60
A₂ = 3600 sq. ft.
The family planted a lawn in the remaining area of the back yard, as shown.
Let us assume that A represents the area of the lawn in the Wilson family's back yard.
A = A₁ - A₂
A = 8000 - 3600
A = 4400 sq. ft.
Therefore, the required area is: 4400 sq.ft.
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Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
Answer:
1 to 7.99 miles
Step-by-step explanation:
According to the given histogram, Maria logged runs for 1 to 7.99 miles, and the number of runs for each mile range is also given. Therefore, the range of the number of miles Maria jogged is 1 to 7.99 miles.
Note that the histogram shows that there were no recorded runs for exactly 8 miles, so the range does not include 8.
Carly has 2.85 pounds of cat food she uses 0.19 pound of cat food to feed one cats. How many cats can Carly feed
Answer:
To find the number of cats Carly can feed, divide the total weight of cat food by the weight of cat food used per cat.
2.85 lbs ÷ 0.19 lbs/cat = 15 cats
Therefore, Carly can feed 15 cats.
Write a problem about a real-life situation involving temperature or money. The situation should include a number and its opposite that results in an answer of zero
Therefore , The negative linear equation result indicates that the coffee shop made $56 less from hot coffee drinks than from iced coffee drinks yesterday.
A linear equation is precisely what?A straightforward regression graph is created using the equation y=mx+b. The y-intercept is m, and the slope is B. Despite the fact that the line before it contains independent parts, it is repeatedly alluded to as a "mathematical formula combining many factors." Only two factors are present in bivariate linear equations. There are no known solutions to application issues concerning linear equations. Y=mx+b.
Here,
Let H be the number of hot coffee drinks sold yesterday, and I be the number of iced coffee drinks sold yesterday. We know that:
H + I = 100 (since a total of 100 cups were sold)
We also know that the average price of a hot coffee drink was $3.50 and the average price of an iced coffee drink was $2.00. Therefore, the total revenue from hot coffee drinks is:
3.50H
And the total revenue from iced coffee drinks is:
2.00I
To find the difference in revenue between the hot and iced coffee drinks sold yesterday, we need to subtract the revenue from iced coffee drinks from the revenue from hot coffee drinks:
3.50H - 2.00I
We want this expression to equal zero, so we can set it equal to zero and solve for H:
3.50H - 2.00I = 0
3.50H = 2.00I
H = (2/3.50)I
H ≈ 0.57I
Since H + I = 100, we can substitute 0.57I for H in the equation:
0.57I + I = 100
1.57I = 100
I ≈ 63.7
Rounding to the nearest whole number, we get:
I = 64
Therefore, H = 100 - I = 36
So the difference in revenue between the hot and iced coffee drinks sold yesterday is:
3.50H - 2.00I = 3.50(36) - 2.00(64) = $72 - $128 = -$56
The negative result indicates that the coffee shop made $56 less from hot coffee drinks than from iced coffee drinks yesterday.
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The complete question is "Write a problem about a real-life situation involving temperature or money. The situation should include a number and its opposite that results in an answer of zero
A local coffee shop sells iced and hot coffee drinks. Yesterday, the shop sold a total of 100 cups of coffee. The average price of a hot coffee drink was $3.50 and the average price of an iced coffee drink was $2.00.
What is the difference in revenue between the hot and iced coffee drinks sold yesterday?"
Kirsty counts the number of peas in a sample of pea pods. Number of pods Number of peas in a pod 4 5 6 7 8 c) 2 10 18 14 6 What was the mean number of peas in a pod?
The number of pea is 6. By using formulas of mean, median and mode.
What is a mean?A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.
Taking pea counts into account,
A pod of peas contains 4, 5, 6, 7 or 8 peas.
Number of pods: 2, 10, 18, 6, and 14
The mode is the number that corresponds to the highest frequency.
The frequency of each number in the list is 1.
Mode is not possible with the information provided.
The middle value, after sorting the numbers in ascending or descending order, is the median if all of the numbers are odd.
The median of the given numbers is.
Replace the values in the formula to get the mean value.
Mean = 4+5+6+7+8/5 = 30/5 = 6
Consequently, based on the quantity of peas provided, the values of the following measure are as follows:
It is impossible to use Peas in a Pod mode.
The median number of peas in a pod is 6.
the typical quantity of peas is 6.
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Como se hace este problema? X+4x=235
Respuesta:
x = 47
Explicación paso a paso:
Necesitamos resolver x en este problema.
[tex]x+4x=235[/tex]
Combinar los términos x juntos
[tex]5x=235[/tex]
Divide 5 en ambos lados
[tex]x=47[/tex]
Nuestra respuesta es 47
2 wholes 4 by 5 minus 4 wholes 1 by 3
Write each rate as a unit rate. $ 46 for 5 toys.
Answer:
$9.20 per toy or $9.20/1
Step-by-step explanation:
$46/5 hours=9.2
Find and identify the traces of the quadric surface
x2 + y2 − z2 = 4
given the plane.
x = k
Find the trace.
Identify the trace.
circle ellipse hyperbola parabola
y = k
Find the trace.
Identify the trace.
circle ellipse hyperbola parabola
z = k
Find the trace.
Identify the trace.
circle ellipse hyperbola parabola
Describe the surface from one of the graphs in the table.
ellipsoid elliptic paraboloid hyperbolic paraboloid cone hyperboloid of one sheet hyperboloid of two sheets
(b) If we change the equation in part (a) to
x2 − y2 + z2 = 4,
how is the graph affected?
The graph is rotated so that its axis is the x-axis.
The graph is rotated so that its axis is the y-axis.
The graph is rotated so that its axis is the z-axis
The graph is shifted one unit in the negative y-direction.
The graph is shifted one unit in the positive y-direction.
(c) What if we change the equation in part (a) to
x2 + y2 + 2y − z2 = 3?
The graph is rotated so that its axis is the x-axis.
The graph is rotated so that its axis is the y-axis.
The graph is rotated so that its axis is the z-axis
The graph is shifted one unit in the negative y-direction.
The graph is shifted one unit in the positive y-direction.
The answer of the questions:
a) The surface is an ellipsoid,
(b) If the equation is changed to x² - y² + z² = 4, the graph is still an ellipsoid, and
(c) If the equation is changed to x² + y² + 2y - z² = 3, the graph is not an ellipsoid anymore,
What is an ellipsoid?
An Ellipsoid is a closed surface on which all plane cross sections are either ellipses or circles. An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the center.
(a)
x = k:
Trace: Circle in the x-z plane
Identification: Circle
y = k:
Trace: Circle in the y-z plane
Identification: Circle
z = k:
Trace: Circle in the x-y plane
Identification: Circle
The surface is an ellipsoid, which is a 3-dimensional surface that is the result of stretching or compressing a sphere along different axes.
(b)
If the equation is changed to x² - y² + z² = 4, the graph is still an ellipsoid, but it is rotated so that its axis is the x-axis.
(c)
If the equation is changed to x² + y² + 2y - z² = 3, the graph is not an ellipsoid anymore, and its shape cannot be determined from the equation alone.
This is because the equation contains a linear term (2y) that makes it non-quadratic.
To find the shape of the surface, a more in-depth analysis would be required.
Hence, the answer of the questions:
a) The surface is an ellipsoid,
(b) If the equation is changed to x² - y² + z² = 4, the graph is still an ellipsoid, and
(c) If the equation is changed to x² + y² + 2y - z² = 3, the graph is not an ellipsoid anymore,
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kylie has 1/3 of a cake she divides it equally 8 how much does she have left
Answer:
1/24
Explanation:
1 1 8
- ÷ 8 This translates to: - ÷ -
3 3 1
1 1
- = -
3x8 24
Hope this helps!
Been stuck on this question please help me.
Answer:
Step-by-step explanation:
Using the Pythagorean Theorem, we know the hypotenuse is 2[tex]\sqrt{26}[/tex]
sin = Opp/hyp ----> [tex]\frac{5}{2\sqrt26}[/tex]
csc = hyp/opp -----> [tex]\frac{2\sqrt{26} }{5}[/tex]
cot = adj/opp -------> [tex]\frac{7}{5}[/tex]
Ann is 24 years older than Denny. In 10 years, Ann will be 3 times as old as Denny. How old is Ann now?
Answer I think Ann is 36 and Denny is 12 Im not for sure but thats what i got
Step-by-step explanation:
Hide Assignment Information
Instructions
In this module we learned about statistical inference. The idea in this type of analysis is to use samples that are selected randomly to extract knowledge related to a larger population group that is the focus of the study question.
A normally distributed blood test results has a mean of 79 and a standard deviation of 8.2. According to the central limit theorem, if a large number of samples are taken from a population with a variance, the mean of the samples will eventually be equal to the population mean.
Discuss the below points in the assignment:
This is a normally distributed dataset for blood test results, Explain the range [mean - one standard deviation , mean + one standard deviation]? After identifying the limits (start/end) of the range discuss the percentage of the blood test results that will be included in this range. (Sixty eight percent of the dataset area is within one standard deviation of the mean in a normal distribution, ninety five percent of the data values will be within 2 standard deviation o the mean, and ninety nine point seven percent of the data values will be within 3 standard deviation of the mean).
Find the percentage of scores that are between 75 and 85.
The Inferential statistics is given below.
What is statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given is to discuss the statistical inference.
Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability.Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population.Inferential statistics can be contrasted with descriptive statistics. Descriptive statistics is solely concerned with properties of the observed data, and it does not rest on the assumption that the data come from a larger populationTherefore, the Inferential statistics is given above.
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What is the area, in square feet, of the
isosceles trapezoid below?
8 ft
6.2 ft
15.4 ft
Answer:
86.4 ft^2
Step-by-step explanation:
Pablo's is a popular Mexican restaurant, known especially for its homemade salsa. During dinner last night at Pablo's, 7 tables of people ordered chips and salsa for every 2 tables that did not. Pick the diagram that models the ratio in the story. A total of 108 tables of people dined at Pablo's last night. How many of the tables ordered chips and salsa?
Answer: Let X be the number of tables that ordered chips and salsa. Then, 7X tables did not order chips and salsa. So, X + 7X = 108, which simplifies to 8X = 108. Dividing both sides by 8, we have X = 13.5.
Since X must be a whole number, we round down to get X = 13 tables ordered chips and salsa.
Step-by-step explanation:
The scores on a standardized test are normally distributed with a mean of 105 and standard deviation of 15. What test score is 1.2 standard deviations above the mean?
87 is the test score is 1.2 standard deviations above the mean.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that scores on a standardized test are normally distributed with a mean of 105 and standard deviation of 15.
We need to find the test score is 1.2 standard deviations above the mean
1.2 standard deviations is 1.2×15 =18
So 105-18=87
87 is the score that is 1.2 standard deviations from the mean.
Hence, 87 is the test score is 1.2 standard deviations above the mean.
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Sorry I cant do this for much points, But i need help asap pleaseeee!
The perimeter of the figure is given by the sum of the perimeter of rectangle and a semicircle P = 20.28
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the figure be represented as P
Let the width of the rectangle W = 4
So , the radius of the circle = 4 / 2 = 2
Now , the length of the rectangle = 5
And , the perimeter of the figure = 5 + 5 + 4 + ( perimeter of semicircle )
where the perimeter of semicircle = πr
On simplifying , we get
The perimeter of the figure P = 14 + 2π
The perimeter of the figure P = 14 + 6.28
The perimeter of the figure P = 20.28
Hence , the perimeter of the figure is 20.28
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Please help due tonight!!!!!!
Answer: -4,9 I AM PRETTY SURE FROM ALL OF MY RESEARCH SIORRY IF I AM WRONG I WISH YOU GOODLUCK
Step-by-step explanation:
a bad contains pennies nickels dimes and quarters they're 50 coins and all of the coins 12% of pennies and 44 dimes there are eight more nickels than pennies how much money does a bag contain
The total amount of money in the bag is M = $ 2.98
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as M
Now , the value of M is
Let the total amount of money in the bag be M
The number of coins in the bag = 50 coins
The number of pennies = 12 % of coins
So , the number of pennies = ( 12/100 ) x 50 = 6 pennies
The number of dimes in the bag = 44 % of the coins
The number of dimes in the bag = ( 44/100 ) x 50 = 22 dimes
The number of nickels = 8 + number of pennies = 8 + 6
The number of nickels = 14 nickels
The remaining number of coins are quarters
On simplifying the equation , we get
So , the number of quarters = 50 - 6 - 22 - 14 = 8 quarters
And , the value of 6 pennies = $ 0.06
The value of 22 dimes = $ 0.22
The value of 14 nickels = $ 0.70
The value of 8 quarters = $ 2.00
Therefore , the total amount in the bag = $ 2.00 + $ 0.70 + $ 0.22 + $ 0.06
The total amount of money in the bag = $ 2.98
Hence , the total money in the bag is $ 2.98
To learn more about equations click :
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