Answer:
Absolute value.
Step-by-step explanation:
We have the expression:
\(\displaystyle \sqrt{s^2}\)
The square root and the square will cancel. This yields:
\(=|s|\)
We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.
In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.
For instance, say s = -7, then:
\(\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7\)
However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/3 . f–1(x) has a restricted domain. f–1(x) has a y-intercept of (0, –36). f–1(x) has an x-intercept of (–36, 0). f–1(x) has a range of all real numbers.
Answer:
(D) \(f^{-1}{(x$) has an x-intercept of (-36, 0).\)
(E)\(f^{-1}{(x)\) has a range of all real numbers.
Step-by-step explanation:
Given the function: \(f(x)= -\dfrac23x-24\)
\(f(x)+24= -\dfrac23x\\$Multiply both sides by $ -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36\)
When y=f(x)=0
\(f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36\)
Therefore, \(f^{-1}(x)$ has a x-intercept of -36\)
Also, \(f^{-1}(x)\) has a range of all real numbers.
Therefore, Options D and E are correct.
Answer:
4 and 5
Step-by-step explanation:
EDGE
which graph is a linear function
A
B
C
D
It's either B or A. It's probably A tho.
Find the perimeter of the rectangle, in feet.
(look at the picture.)
Answer:
8 1/3ft
Step-by-Step Explanation:
Sarah bought a car for $3500 and later sold it for
a 30% profit. How much profit did Sarah make in
the car?
Answer: 10
Step-by-step explanation:
budda dawg
A 20 cm
B
Find the area of an equilateral triangle of each side 12 cm.
a)
4
*
Glidef
In a parallelogram PQRS, PQ = 8cm and QR = 10 cm. If the height corresponding to side PQ
is 5cm, then find the height corresponding to the side QR
Answer:
4 cm
Step-by-step explanation:
PQ = 8 cmQR = 10 cmHeight corresponding to PQ = 5 cmHeight corresponding QR = xThe area of parallelogram is equal to product of its base and height
It can be expressed as
A = 8*5 = 40and
A= 10*xComparing them we get
10x = 40 ⇒ x = 4 cm6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboard that has a diameter of 20 in and it is divided into 20 congruent sectors. Find the area of one sector.
Part I: Find the central angle. (Hint: A circle has 360 degrees.) (1 point)
Part II: Use your answer from Part I to find the fraction of the circle that one sector will take up. (1 point)
Part III: Use the fractional part from Part II with the area formula to find the area of one sector of the circle to the nearest tenth. (2 points)
Answer:
A sector of a circle is simply a part of a circle that is enclosed by two radii and a part of the circle's circumference (arc). If the arc makes an angle θ at the center of the circle, then the area of the sector is equal to A=θ360πr2 A = θ 360 π r 2 .
Step-by-step explanation:
PLEASE HELP ME ASAP PLEASE.
Answer:
See below
Step-by-step explanation:
g (h(6)) :
h (6) = 3 ( 6^2) + 2 = 110
then g (110) = sqrt (110)
h (g(5))
g(5) = sqrt 5
then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17
On Saturday, Casey earns $15 babysitting. On Sunday, she receives $68 for her birthday. Casey purchases a belt for $11.50, a sweater for $23.24, and a pair of jeans for $29.99. She deposits the remaining money into her savings account. If Casey had a balance of $37.23 in her savings account before making her deposit, how much money does she currently have in her savings account?
Answer:
55.50
Step-by-step explanation:
The sum of three consecutive even numbers is 48. What is the biggest of these numbers?
Answer:
The greatest number is 18.
Step-by-step explanation:
consecutive: following one after the other
48 ÷ 3 = 16
16 would be the middle number
14 : 16 : 18
14 = smallest number
16 = middle number
18 = biggest number
14 + 16 + 18 = 48
8.4 x 5.2 show your work
Answer:
43.68
Step-by-step explanation:
Answer:
43.68
Step-by-step explanation:
here is my work
sorry I don't know how to write with a mouse
8. Evaluate the expression under the given conditions. sin(theta − ϕ); tan(theta) = 5 12 , theta in Quadrant III, sin(ϕ) = − 3 10 10 , ϕ in Quadrant IV
_____
9. Evaluate the expression under the given conditions.
sin(theta + ϕ); sin(theta) = 8/17, theta in Quadrant I, cos(ϕ) = −√5 /5, ϕ in Quadrant II
(a) The expression under the conditions sin(θ - Ф) is (5√(91) - 36) / 130.
(b)The expression under the conditions sin(θ + Ф) is 7√5/85.
8.To evaluate the expression sin(θ - Ф), we need to use the the trigonometric identities:
sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)
tan(θ) = 5/12 (in Quadrant III)
sin(Ф) = -3/10 (in Quadrant IV)
From the given information, we can determine the values of cos(theta) and cos(Ф) using the Pythagorean identity:
cos(θ) = 1 / √(1 + tan²(θ)) cos(Ф)
= √(1 - sin²(Ф))
Let's calculate these values:
cos(θ) = 1 / √(1 + (5/12)²)
= 12 / √(169)
= 12 / 13 cos(Ф)
= √(1 - (-3/10)²)
= √(1 - 9/100)
= √(91/100)
= √(91) / 10
Now we can substitute the values into the expression sin(θ - Ф):
sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)
= (sin(θ) × cos(Ф)) - (cos(θ) × sin(Ф))
= (5/13) × (√(91)/10) - (12/13) × (-3/10)
= (5√(91) - 36) / 130
Therefore, sin(θ - Ф) = (5√(91) - 36) / 130.
9.To evaluate the expression sin(θ + Ф), we can use the trigonometric identities:
sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)
sin(θ) = 8/17 (in Quadrant I)
cos(Ф) = -√5/5 (in Quadrant II)
We can determine the value of cos(θ) using the Pythagorean identity:
cos(θ) = √(1 - sin²(θ))
= √(1 - (8/17)²)
= √(1 - 64/289)
= √(225/289)
= 15/17
Now we can substitute the values into the expression sin(θ + Ф):
sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)
= (8/17) ×(-√5/5) + (15/17) × (√5/5)
= -8√5/85 + 15√5/85
= 7√5/85
Therefore, sin(θ + Ф) = 7√5/85.
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describe the transformation of f represented by G then graph each function
Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.
5)
Transformation 2: the function is shifted 2 units up
Explanation
\(f(x)=x^4\)Step 1
the first transformation is the function multiplied by a constant ( 1/2)
If the function is multiplied by a value less than one, all the values of the equation will decrease, leading to a “shrunken” appearance in the vertical direction
so
\(\begin{gathered} f(x)=x^4\Rightarrow\frac{1}{2}x^4 \\ \frac{1}{2}is\text{ smaller than 1, so} \end{gathered}\)Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.
5)
Step 2
the second transformation is add 5
\(f(x)=x^4\Rightarrow\frac{1}{2}x^4\Rightarrow g(x)=\frac{1}{2}x^4+5\)If a positive number is added, the function shifts up the y-axis by the amount added.
so,
Transformation 2: the function is shifted 2 units up
I hope this helps you
Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answer:
£503.75
Step-by-step explanation:
Andy is buying a car.
Step 1
We calculate the decrease
He negotiated a 7% decrease on a £6 500 car.
Decrease = 7% × £6500
= $455
Step 2
We calculate the new price of the car.
= Old price - Decrease
= £6500 - £455
= £6045
Step 3
We calculate the amount he pays every month.
We are told that:
He will pay the full balance in 12 equal monthly payments.
Andy's monthly payments =
New price/12 months
= £6045/12
= £503.75
Therefore, the amount he would be paying each new month = £503.75
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
\(\frac{7}{18}\)
Step-by-step explanation:
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)
ABC=40 and Bd is angle bisector of ABC what is Y= ?
The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.
Given :
ABC = 40 and BD is the angle bisector of angle ABC.
The following steps can be used in order to determine the angle ABD:
Step 1 - According to the given data, BD is the angle bisector of angle ABC.
Step 2 - An angle bisector bisects the angle into two equal parts.
Step 3 - So, the measure of angle ABD is calculated as:
So, the measure of angle ABD is 20 degrees.
Solve for the values of x ~
\( \qquad \looparrowright{2x}^{2} + 12x + 18\)
Answer:
\(2 {x}^{2} + 12x + 18\)
\(➳ \: 2 {x}^{2} + 6x + 6x + 18
\)
\(➳2x(x + 3) + 6(x + 3)\)
\(➳ \: (2x + 6)(x + 3)\)
hence in there equation solution
we can solve the value of x
\( \leadsto \: (2x + 6)\)
\( \longrightarrow \: 2x = - 6\)
\(➳x = \frac{ - 6}{2} \)
\(➳ \: x \longrightarrow \: - 3\)
hence , x ➳-3The values of x are -3
The equation is given as:
\(2x^2 + 12x + 18 = 0\)
Expand the equation
\(2x^2 + 6x + 6x + 18 = 0\)
Factorize the equations
\(2x(x + 3) + 6(x + 3) = 0\)
Factor out x + 3
\((2x + 6) (x + 3) = 0\)
Split the equation
\((2x + 6) = 0\ or\ (x + 3) = 0\)
Remove the brackets
\(2x + 6 = 0\ or\ x + 3 = 0\)
Solve for x
\(x = -3\ or\ x =-3\)
Hence, the values of x are -3
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if p(x) is divided by (x 1) three times and has remainder of 1 at the end, then -1 is a double root.
If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.
When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.
Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.
Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).
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Find the slope or i'm maybe probably maybe most definitely gonna fail
I wasn't paying attention in class...
Therefore, the slope of the line passing through the points (0, 3) and (2, 6) is 3/2.
What is slope?In mathematics, the slope refers to the measure of steepness or inclination of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between those points. In other words, the slope of a line is the change in y divided by the change in x between any two points on that line. The slope can be positive, negative, or zero, and it determines the direction and the steepness of the line. The slope is an important concept in algebra, geometry, and calculus, and it is used to describe many real-world phenomena, such as the velocity of an object, the rate of change of a function, and the growth or decline of a population.
Here,
To find the slope of the line passing through the points (0, 3) and (2, 6), we can use the formula:
slope = (change in y) / (change in x)
So, we have:
slope = (6 - 3) / (2 - 0)
slope = 3 / 2
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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot
Answer:
Answer is in the picture
Answer: 0.9
tan71=
x
2.5
x\tan 71=2.5
xtan71=2.5
\frac{x\tan 71}{\tan 71}=\frac{2.5}{\tan 71}
tan71
xtan71
=
tan71
2.5
x=\frac{2.5}{\tan 71}=0.8608\approx 0.9\text{ feet}
x=
tan71
2.5
=0.8608≈0.9 feet
the power of a test is measured by its capability of a) rejecting a null hypothesis that is true. b) not rejecting a null hypothesis that is true. c) rejecting a null hypothesis that is false. d) not rejecting a null hypothesis that is false.
The power of a test is measured by its capability of rejecting a null hypothesis that is false, so option C is the correct answer
what is power with respect to probability?
Power is defined as the probability of correctly rejecting the false null hypothesis. It is the measure of the capability of rejecting a null hypothesis that is false.
Power = P[ rejecting a null hypothesis that is false.]
So, option C is correct, the power of a test is measured by its capability of rejecting a null hypothesis that is false
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The cube of 9 is greater than 1,000. True or false?
Answer:
no is the correct answer
Answer:
False
Step-by-step explanation:
The cube of 9 is 729 and 729 is smaller ( not greater ) than 1,000.
HOPE THIS HELPED
In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.
In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".
They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.
They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.
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Tricky twenty four answers
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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knhkfjvvjhhhhhhhhhhhhhhhhhhhhhhh
Answer:
??????? what ?????????
can you please help me with this problem
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.
A. Translate even units left, rotate 90 degrees clockwise about the origin.
B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2
D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.
E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3
Answer:
than originally shared this meeting will