Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
Given f(x) = 6x^4, find f^-1(x). Then state whether f^-1 (x) is a function.
A. Y=+or-(x/6)^4; f^-1(x) is not a function
B. Y= +or- (x/6)^4 ; f^-1(x) is a function
C. Y= +or- (x/6)^1/4 ; f^-1(x) is a function
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Answer:
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Step-by-step explanation:
A function g is the inverse of function f if for y=f(x), x=g(y).
y = 6x^4
Replace x with y:
x = 6y^4
Solve for y:
+or- x^1/4 = 6y
+or- (x/6)^1/4 = y
For each x there are 2 values of y: negative and positive. So, it is not a function.
What is the C.O.P for this relationship?
Answer:
4
Step-by-step explanation:
Constant of proportionality is given as, k = y/x
To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).
Thus, k = 4/1 = 4
Constant of proportionality = 4
Answer:
The constant of proportionality is 4
Step-by-step explanation:
For every 4 there is one, so for 2 there would be an 8, for 3 a 12, so on and so 'forth'.
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
Rochelle is applying for two jobs at a restaurant. As a hostess, she would be paid $530
weekly. As a
server, she would be paid $310 weekly, plus tips.
Which inequality can be solved to findt , the weekly tips Rochelle has to earn in order for
the server job to
pay more than the hostess job?
Answer:
530+310+x=<310+x
Step-by-step explanation:
you need to find out x by doing 530+310 then divide 530+310 by 10
The question is below
Answer:
x + 7
Step-by-step explanation:
ajiahaqjjaqjajajanqjq
WILL GIVE BRAINLIEST - Given z = 1 –i, which letter represents z^3?
Answer:
A
Step-by-step explanation:
EDGE 2020
The solution is Option A.
The value of the equation is P = -2 - 2i
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 z
Now , the value of z is
z = ( 1 - i )
Now , calculate the value of z³ is
z³ = ( 1 - i )³
z³ = 1³ - i³ - 3 ( 1 )²i + 3 ( i )² 1
On simplifying the equation , we get
z³ = 1 + i - 3 - 3i
z³ = -2 - 2i
Therefore , the value of z³ is -2 - 2i
The point on the graph is A
Hence , the value of the equation is -2 - 2i
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One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?
Step-by-step explanation:
9 in total numbers can't be divided by 3...
therefore your probability will be = 9/14
= 0.64
The table below shows the number of pages Stephen read by hour. If you were to graph the data it would be a proportional relationships. What is the slope of the data?
Number hours Stephen read Number of pages Stephen read
3 96
4 128
6 192
9 288
12 384
Answer:
32
Step-by-step explanation:
divide each number and you get 32 for all of them which gives you the slope i think
In the figure below, APQR is a reflection of ATSA.
Two students describe the given triangles as shown:
Student I: Because reflections preserve side lengths, OR a SR, PO TS, and PR TR.SO APORATSR by SSS.
Student II: Because reflections preserve both side lengths and angle measures, ZROP ZRST, OR SR. and PO = TS. SO APOA - ATSR by SAS.
Who has proven APOR - ATSR correctly?
only studenti
only student II
o
both student I and student II
o
neither student I nor student II
Answer:
both student one and student two
Step-by-step explanation:
With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.
Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.
Given-
Statement of student 1-Because reflections preserve side lengths,
[tex]QR \cong SR[/tex],
[tex]PQ \cong TS[/tex],
[tex]PR \cong TR.[/tex] so,
[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]
In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.
Statement of student 2- Because reflections preserve both side lengths and angle measures,
[tex]\angle RQP \cong \angle RST[/tex]
[tex]QR \cong SR[/tex]
[tex]PQ \cong TS[/tex]
[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]
In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.
Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.
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Which value could go in the blank cell so that the percentage of only children that
have no pets is 37.5%?
A. 63
B. 82
C. 175
D. 205
Answer:
maybe B
I am not to my answer
The solution is Option A.
The number of only children with no pets is given by the equation A = 63 and the percentage would be P = 37.5 %
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 number of only children with no pets be A
Now , the equation will be
The number of siblings with pets = 82
The number of siblings with no pets = 141
The number of only child with pets = 105
Now , let A = 63
So , the total number of children = 105 + 63 = 168
The percentage given is P = 37.5 %
So , the percentage of children with no pets P = ( number of only children with no pets / total number of children ) x 100
Substituting the values in the equation , we get
Percentage of children with no pets P = ( 63 / 168 ) x 100
Percentage of children with no pets P = 0.375 x 100
Percentage of children with no pets P = 37.5 %
Therefore , the value of A is 63
Hence , the number of children with no pets i 63
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Evaluate: 12y+9d if y = 5 and d = 7
Answer:
123
Step-by-step explanation:
Substitute values of y and d into equation.
12y+9d = 12(5) + 9(7)
Evaluate.
12(5) + 9(7) = 60 + 63
Simplify.
60 + 63 = 123
Answer:
123
Step-by-step explanation:
12y + 9d
12(5) + 9(7)
60 + 63
123
Work out (3.42 x 10-7) = (7.5 x 10-6)
Give your answer in standard form.
Answer:
0.24510
Step-by-step explanation:
what is the standard form of this expression?
(3x+4)(x-8)
Answer:
Step-by-step explanation:
(3x + 4) (x - 8)
3x2 - 8x + 4x - 32
3x2 - 4x - 32
Option B is the correct answer
Answer:
3x2 − 20x − 32
Step-by-step explanation:
Plato answer
which transformation is happening in the image below
Answer:
B.) Reflection over y=-3
Step-by-step explanation:
The probability distribution for a
random variable x is given in the table.
Answer: 60%
Step-by-step explanation:
the probability is -2 is less than or equal to x and x is less than or equal to 2 so you would include .33, .16, and .10 in your problem
.33 + .16 + .11 = .6
.6 x 100 = 60
(if your using acellus don’t forget the % sign or it’ll mark it wrong!)
What is h? even if you can just tell me how to find it would be helpful!
Answer:
possibly 5?
Step-by-step explanation:
But can you plzzz help me with my latest question
Please help meeeeeeeeee
Answer:
(7,3)
Step-by-step explanation:
You're welcome.
What is the initial value of the exponential function shown on the graph?
0
1
2
4
Answer:
4
Step-by-step explanation:
Answer:
It's 4
Step-by-step explanation:
Edge 2020
An athlete takos 10 rounds of a rectangular park 10 m long and 30 m
wide Find the total distance covered by him.
Answer:
area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²A hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour.At this rate, how many gallons per hour does the hybrid SUV use?
Answer:
a
Step-by-step explanation:
The hybrid SUV uses 32/55 gallons per hour which is the correct answer would be an option (A).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that perform the arithmetic operations are called arithmetic operators.
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given that a hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour
To determine miles per gallon of gas,
We take the 32miles the hybrid SUV travels and divide it by the highway driving at a constant 55 miles per hour
⇒ 32/55
Hence, the hybrid SUV uses 32/55 gallons per hour.
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Josh drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?
Answer: 15.4
Step-by-step explanation: First find the unit rate: 14/380=0.03684210526
Then multiply by the # of miles Josh needs to drive(Which is 418): 0.03684210526 times 418= 15.4
Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are Bobby and his little sister Emma?
Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?
Answer:
1/8, or 12.5%.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Use GCF to factor
40x+24y-56
Answer:
8(5x+3y-7)
Step-by-step explanation:
I just learned this like 2 months ago lolll
Oblicz ile wynosi niewiadoma (a+1)-(-8)= -9
Step-by-step explanation:
I don't understand your language but if it's the solution;
(a+1)-(-8)= -9
Remove the parentheses
a+1+8= -9
Collect the like terms
a= -9-8-1
a= -18
I WILL GIVE BRAINLIST!
Showthat (a+bi)2 = (a+b)(a−b) + 2abi
Answer:
see below
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)
= a² + 2abi + b² · (-1) (This is because i² = -1)
= a² - b² + 2abi (Simplify, rearrange)
= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))
Hope this helps!
Answer:
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i²
a² + 2abi + b² · (-1)
a² - b² + 2abi
(a + b)(a - b) + 2abi
Which is an equation of the line that passes
through the points (1.3) and (-1, 1)?
A. X= 1
B. y = 2x + 1
C. y=x+2
D. y = 3
Answer:
c) y=x+2
Step-by-step explanation:
find slope and y-intercept then write in y=mx+b form and see which one matches
trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
grab the image of the rectangle DEFG reflection across the line x= 3
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.