Answer:
Step-by-step explanation:
Shaded will be your numerator then count all spaces together for denominator.
One problem with the arithmetic mean is that
A) it is influenced by outliers
B) sum of deviations from the mean is always 0
C) it does not take all observations into consideration
D) there can be multiple means
One problem with the arithmetic mean is that it is influenced by outliers. Because with the presence of outliers , the arithmetic mean will be pulled towards the outlier. So, the correct option is A) it is influenced by outliers.
The arithmetic mean is calculated by summing up all the observations in a dataset and dividing by the number of observations. While it is a commonly used measure of central tendency, it has some limitations. One of the main problems with the arithmetic mean is that it can be strongly influenced by outliers.
An outlier is an observation that is very different from the other observations in the dataset. When outliers are present, the arithmetic mean can be pulled towards the outlier and may not be a good representation of the typical value in the dataset. So, the answer is A) it is influenced by outliers.
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Solve for n.
n+ 1 = 4(n-8)
Answer:
11
Step-by-step explanation:
n+1=4(n-8)
n+1=4n-32
4n-n-32=1
3n-32=1
3n=1+32
3n=33
n=33/3
n=11
Answer:
n = 11
Step-by-step explanation:
The equation is n+1=4(n-8). This is much easier to solve after expanding, which makes n+1=4n-32. Then, add 33 to each side to make n+33=4n. Next, take away n from each side, to get 33=3n. You want to find n, so divide each side by 3. This means you end up with 11=n.
Graph 2x+y<1Y>1/2x+2
We need to graph the next given inequalities:
\(\begin{gathered} 2x+y<1 \\ \text{and} \\ y>1/2x+2 \end{gathered}\)For 2x+y<1.
We need to find the x-intercept and y-intercept
To find the y-intercept, set x=0
\(\begin{gathered} 2(0)+y<1 \\ \text{Then} \\ y<1 \\ \text{The y-intercept is the point (0,1)} \end{gathered}\)To find the x-intercept, set y=0
\(\begin{gathered} 2x+0<1 \\ \text{solve for x} \\ x<\frac{1}{2} \end{gathered}\)The symbol "<" means less than, so we get the next graph:
For the second inequality y>1/2x+2
To find the y-intercept, set x=0
I need this answered
use polynomial tiles or draw an area model to determin the product f(x) x g(x) = (2x-1) (-x+2)
The product of the given polynomials is -2x² + 5x - 2.
Given two polynomial functions, f(x) and g(x).
f(x) = 2x - 1 and g(x) = -x + 2
We have to find the product of these polynomials.
Numerically, we can find the area as,
f(x) g(x) = (2x - 1) (-x + 2)
= -2x² + x + 4x - 2
= -2x² + 5x - 2
Area model can be done by drawing a rectangle and then marking the length of the rectangle as 2x - 1 and the width of the rectangle as -x + 2.
Area of the rectangle = length × width
Hence the product of the given polynomials is -2x² + 5x - 2.
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Can someone help me please
Answer:
The slope is 9, so your friend saves $9 every week
Step-by-step explanation:
We are given the point (3,39) and below it on the line (2,30).
\(y1-x1/y2-x2\) (Note its supposed to be y 'sub' 1 ect...)
Just plug the points in with the formula and you'll get the answer!
Answer:
i think its the 3 one not sure rlly hard to see
Step-by-step explanation:
4/48*100
pls answer urgent
\( \to\dfrac{4}{48 \times 100} \)
\( \\ \)
\( \to\dfrac{1}{12\times 100} \)
\( \\ \)
\( \to0.00083\)
\( \\ \\ \)
or
\( \\ \\ \)
\( \to \dfrac{4}{48} \times 100\)
\( \\ \\ \)
\( \to \dfrac{1}{12} \times 100\)
\( \\ \\ \)
\( \to 8.33\)
yall... help pls this is hard
Answer:
First one Or Last. I think the last one though
Step-by-step explanation:
what is the lenght of PR
Answer:
B. 6
Step-by-step explanation:
The triangles are similar by AA Similarity.
The lengths of corresponding sides of the triangles are proportional.
AB/PQ = AC/PR
20/5 = 24/PR
4 = 24/PR
4PR = 24
PR = 6
Answer: PR = 6
Please help me I will give a brainless
Answer:
x E = R
the statement is true for any value of x, because both sides are identical.
uppose that a certain data set contains the variable HEIGHT (giving a person's height) and the variable GENDER (coded O=female, 1=male). Then the y-intercept of the regression equation predicting HEIGHT from GENDER is given by: Select one: a. how much shorter females are than males, on average. b. how much taller males are than females, on average. c. the average height of females in the data set. d. the average height of males in the data set. e. the proportion of females in the data set. f. the proportion of males in the data set. g. it is not appropriate to interpret the y-intercept in this case.
The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.
The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.
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Find the circumference of the circle. Use 3.14
8 cm
circumference of circle = 2πr
=2×3.14×8
=50.24 cm
Identify the angles that each have a measure of 124º.
Answer:
Angle 1, angle 3 and angle 7 will be the equal angles.
Step-by-step explanation:
In the figure attached,
Two lines are parallel and a transversal line is intersecting these parallel lines.
Congruent angles to the angle measuring 124° will be,
m(∠7) = 124° [Vertical angles]
m(∠1) = 124° [Corresponding angles]
m(∠3) = 124° [Alternate interior angles]
Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.
a recipe for a cake calls for 5 1/10 cups of sugar Anjali accidentally puts in 5 3/4 cups how much extra did she put
Answer:
2/15
Step-by-step explanation:
I think not 100% on this but not so sure-
Subtract 5 1/10 from 5 3/4
5 3/4 - 5 1/10
• Subtract the whole numbers (5 and 5)
5 - 5 = 0
• LCM of the denominators (4 and 10)
= 13/20
She put an extra 13/20
a circle has a radius of 7cm. find the radian measure of the central angle that intercepts an arc of length 10cm.
The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.
To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:
θ = s / r,
where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.
In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:
θ = 10 cm / 7 cm.
Simplifying the expression, we get:
θ ≈ 1.42857 radians.
Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.
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(x +1)^2-5x(x+3)(x-3)
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
(x + 1)² - 5x (x + 3)(x - 3)\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(( x + 1 ) ^ { 2 } - 5 x ( x + 3 ) ( x - 3 )\)
Use binomial theorem \(\left(a+b\right)^{2}=a^{2}+2ab+b^{2}\) to expand \(\left(x+1\right)^{2}\).
\(x^{2}+2x+1-5x\left(x+3\right)\left(x-3\right) \)
Use the distributive property to multiply -5x by x+3.
\(x^{2}+2x+1 + (-5x^{2}-15x)(x-3)\)
Use the distributive property to multiply \(-5x^{2}-15x\) by x-3 and combine like terms.
\(x^{2}+2x+1-5x^{3}+45x \)
Combine 2x and 45x to get 47x.
\( \boxed{\boxed{\bf\:x^{2}+47x+1-5x^{3} }}\)
ORFollow the same steps till \(x^{2}+2x+1-5x^{3}+45x \) and then use the algebraic identity ⇨ a + 2ab + b² = (a + b)²
\(\boxed{\boxed{\bf\:-5x^{3}\left(x+1\right)^{2}+45x}}\)
Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 50 12 38 25 16 48 58 Compute the standard deviation s. OA) 8715.6 B) 38 C) 17.9 D) 10,637
The standard deviation of the given quiz scores is approximately 16.537.
To compute the standard deviation of the quiz scores, we can follow these steps:
Calculate the mean (average) of the scores.
Calculate the squared difference between each score and the mean.
Calculate the average of the squared differences.
Take the square root of the average of the squared differences to get the standard deviation.
Let's calculate it:
Calculate the mean:
Sum of scores = 50 + 12 + 38 + 25 + 16 + 48 + 58 = 247
Mean = Sum of scores / Number of scores = 247 / 7
= 35.286 (rounded to three decimal places)
Calculate the squared difference between each score and the mean:
For each score, subtract the mean and square the result:
(50 - 35.286)^2 = 213.672996
(12 - 35.286)^2 = 540.421796
(38 - 35.286)^2 = 7.426796
(25 - 35.286)^2 = 106.796996
(16 - 35.286)^2 = 372.739996
(48 - 35.286)^2 = 161.828996
(58 - 35.286)^2 = 512.968996
Calculate the average of the squared differences:
Sum of squared differences = 213.672996 + 540.421796 + 7.426796 + 106.796996 + 372.739996 + 161.828996 + 512.968996 = 1915.855572
Average = Sum of squared differences / Number of scores
= 1915.855572 / 7
= 273.693653 (rounded to six decimal places)
Take the square root of the average of the squared differences:
Standard deviation = √(Average)
= √(273.693653)
≈ 16.537 (rounded to three decimal places)
Therefore, the standard deviation of the given quiz scores is approximately 16.537.
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Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
it is correct because Gail's digit 9 is .9 and Lucas's is 10 times greater and .9 × 10 = 9 which is Lucas's digit 9 value
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
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What is the distance on the unit circle between successive fourth roots of root3/2 - 1/2i
The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:
The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.
1. Convert the given complex number to trigonometric form:
√3/2 - 1/2i = cos(θ) + i*sin(θ)
By comparing the real and imaginary parts, we can determine the angle θ:
cos(θ) = √3/2
sin(θ) = -1/2
Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.
2. Find the angle between successive fourth roots:
Since we are interested in the fourth roots, we divide the angle θ by 4:
θ/4 = (5π/6) / 4 = 5π/24
This angle represents the angular distance between two successive fourth roots on the unit circle.
3. Calculate the distance between the two points:
To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):
Distance = (5π/24) * 1 = 5π/24
Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
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yet again ACTUALLY ANSWER THE PROBLEM and don't answer if you don't know (you know who you are)
The table represents a linear function.
x y
-5 -4
-2 2
1 8
3 12
Identify the intercepts of the line.
Write the equation of the line in standard form.
Answer:
Step-by-step explanation:
Slope is 2
solve into Ax+by=C
Y-y1=m(x-x1)
Y-(-4) = 2(x - (-5))
Y+4=2x+10
Y-2x =6
(0,6)
(-3,0)
Which line is perpendicular to the line shown on the graph Map testing
Answer:
Step-by-step explanation:
Since the graph with the line isn't provided, I can only tell/show you how to find the perpendicular line.
When two lines a perpendicular, they can have different y-intercepts. But the slope of line will change to it's reciprocal.
So if you have a line that is y = 2x + 7 the perpendicular line would be,
y = -1/2 x + 7
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center at the origin, passing through P(5, −8)
The equation of the circle that meets the specified requirements is x^2 + y^2 = 89, with the center at the origin and going through P(5, 8).
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The equation of a circle with center at the origin (0,0) and passing through the point (x1,y1) can be found using the distance formula.
The distance between a point (x1, y1) and the origin (0,0) is given by:
sqrt((x1-0)^2 + (y1-0)^2) = sqrt(x1^2 + y1^2)
Let's call the radius of the circle r. We know that the distance between the point (x1,y1) and the origin is equal to r. So, we can set up the equation:
sqrt(x1^2 + y1^2) = r
Substituting the values x1 = 5 and y1 = -8, we have:
sqrt(5^2 + (-8)^2) = r
Solving for r, we get:
r = sqrt(5^2 + (-8)^2) = sqrt(25 + 64) = sqrt(89)
Finally, we can write the equation of the circle in standard form using the center (0,0) and radius r:
(x - 0)^2 + (y - 0)^2 = r^2
x^2 + y^2 = r^2
x^2 + y^2 = 89
The equation of the circle that satisfies the stated conditions that is center at the origin, passing through P(5, −8) is x^2 + y^2 = 89.
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you need to find the area in this please help
ok for what i got is 3468750
I don't know how I got it but I think you need to multiply the area
please forgive me if I am wrong.
To the nearest square centimeter, what is the area of the shaded sector in the
circle shown below?
A 22 cm
B 201 cm
346 cm
O 87 cm
Answer:
The answer would be 87^2
Step-by-step explanation:
The solution is, Area of a sector is 138.23 cm².
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The formula for the area of a sector is given as:
θ/360 × πr²
θ = 110°
Radius = r = 12 cm
Hence
Area of a sector = 110/360 × π × 12²
= 138.23007676 cm²
Approximately, Area of a sector = 138.23 cm²
Hence, The solution is, Area of a sector is 138.23 cm².
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1. What is the constant of proportionality?
2. What is the equation?
Answer:
y = 1/3a
Step-by-step explanation:
y = ka
1 = 3k
k = 1/3
Confirm constant: (4-1)/(12-3) = 3/9 = 1/3
1 = 3(1/3) + b
1 = 1 + b
b = 0
y = 1/3x or 1/3a
Is (x-7) a factor of (x2-5x+14)?
Yes or no
Answer:
Step-by-step explanation:
Is the given equation factorable?
(x - 7)(x - 2) = x^ - 9x + 14 That doesn't work.
-7 * - 2 = 14 but the middle term is - 9 not - 5
x - 7 is not a factor of x^ - 5x + 14
What is?
Something very ugly (x - 2.5 +/- 2.783 i )
convert the following fractions to decimal
1. 5/7
2. 3/14
3. 3/11
4. 2/6
5. 4/12
6. 9/25
7. 6/13
8. 4/5
Answer:
1. 0.71
2.0.21
3.0.27
4.0.33
5.0.33
6.0.36
7.0.46
8. 0.8
Step-by-step explanation:
Jill bought a used motorcycle from a seller online for $1,200. The seller will charge her $5 a day to store the motorcycle at his house until she is able to pick it up. You can use a function to describe the total amount of money Jill will owe the seller if she waits x days to pick up the motorcycle.
Answer:
Step-by-step explanation:
1200x5= it is 6000
Answer:
900=5x + 1200
Step-by-step explanation:
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
\(\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.\)
Mumble. The second almost look like a square, if only there was the \(2xy\) term. Let's add (and subtract, so we aren't creating something new) term to the second:
\((x+y)^2-2xy = 80\) But we know what the first term is, it's 144. Let's replace and do some number tricks to get:\(144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32\)
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to \(\sqrt{144} = 12\) and whose product is 32. that is, the root of the polynomial
\(z^2+12z+32= (z+4)(z+8)\) (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
\((4,8);(8,4);(-4,-8);(-8,-4)\)