(Score for Question 3:
of 3 points)
3. Describe the transformation that takes
(x)=x+1 to g(x) = -x +4.
Answer:
Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
Claim: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.
. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
Learn more :
1/2x - 5 = 10 - 3/4x Please show work !
Answer:
x=[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x
4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]
2 -5 × 4x = 10 × 4 - 3
2 - 20x = 40x - 3
-20x - 40x = -3 - 2
-60x = -3 - 2
-60x = -5
x = [tex]\frac{-5}{-60}[/tex]
x = [tex]\frac{1}{12}[/tex]
4, 13, 5, 8, R, 5, 11
In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value
of R?
Answer:
Answers:
R can be either 8, 9 or 10
============================================================
Explanation:
Let's exclude the R value for now.
The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.
Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.
If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.
So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}
------------------------------
If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.
Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.
If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.
So we've ruled out the cases that R = 5, R = 6 and R = 7.
If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.
-------------------------------
Now let's consider the possibility that 8 < R < 11.
If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.
The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.
-------------------------------
In short, R can be any of the following values: 8, 9, 10
PLS HELPP me asap no bots
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
Brainliest)
There are 12000 fish in a lake. Because of pollution, the number of fish halves every year. What will be the population of fish after 5 years?
help
Answer:
375 fishes
Step-by-step explanation:
12000 divided by 2 is 6000 1st year
6000 divided by 2 is 3000 2nd year
3000 divided by 2 is 1500 3rd year
1500 divided by 2 is 750 4th year
750 divided by 2 is 375 5th year
Someone please help! Thank you in advance!
Answer:
58ft
Step-by-step explanation:
100-60=40
40+18=58
the answer is 58ft
(brainliest plz)
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
I need help I don't understand
Answer:
2nd one
Step-by-step explanation:
I know this because I learned about this
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM
Answer:
The curved surface area of cylinder is 251.42 cm².
Step-by-step explanation:
Here's the required formula to find the curved surface area of cylinder :
[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]
Csa = Curved surface areaπ = 22/7r = radius h = heightSubstituting all the given values in the formula to find the curved surface area of cylinder :
[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]
Hence, the curved surface area of cylinder is 251.42 cm².
[tex]\rule{300}{2.5}[/tex]
Kane is training for a marathon. He starts by running 3 miles during every training session. Each week he plans to increase the distance of his run by 1/4 miles.
Let w be the number of weeks. Write an expression to show the distance Kane run in a training session after weeks.
PLEASE HURRY
in 6th grade explanation
Answer:
m = 0.25w + 3
Step-by-step explanation:
let m = miles
The basic fixed distance is 3 miles
And he adds 0.25 miles every week, for w weeks
So the equation is m = 0.25w + 3
-Chetan K
Which part of this problem should be simplified first?
(100 – 37 + 15) × 2 ÷ 3
Answer:
the parentheses should be the first.
Step-by-step explanation:
follow the steps using PEMDAS.
P- parentheses
E- exponent
M- multiply
D- divide
A- addition
S- subtraction
Answer:
The answer is 100 - 37. Do not put parenthesis when answering your question.
Step-by-step explanation:
3/10 = ___ x 1/10
pls help i'll give brainiest
Answer:
1/10 x 30/10=30/100 then simplify =3/10
Step-by-step explanation:
Hope I helped please mark brainliest!
Question 19 of 25
f() = 379-2 and g(x) = 2x* 4. find (f- )(x).
A*2
C 3 - 2x - 6
D. 37 - 2x + 2
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
Answer:
SU ≅ RPΔPQR ≅ ΔUTSStep-by-step explanation:
For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)
needed: SU ≅ RP
If we label the triangles in order by hash marks, the congruence statement becomes ...
ΔPQR ≅ ΔUTS
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
please help for brainlist you need to be accurate tho
Answer:
3.5t +5
Step-by-step explanation:
We are looking for the total distance
5 miles is the first distance traveled.
Then after the break they travel at a rate of 3.5 miles per hour for t hours
That distance is 3.5t
The total distance traveled is
5+3.5t
Rewriting the order
3.5t +5
Solve for X
[tex]\frac{2x+9}{5} \leq \frac{7x-5}{6}[/tex]
Give answer as an improper fraction in its simplest form
What is the measure of _____?
Answer:
112°
Step-by-step explanation:
3x+22+2x+8=180
5x+30=180
5x=150
x=30
3x+22
3(30)+22
90+22
112
Like terms can be ________
this is fill - up question
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
Triangle PIN is rotated -270 degrees about the origin.
Draw the image of this rotation.
If triangle PIN is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).
The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Find out more at: https://brainly.com/question/11707700
Answer:
P=(-3,2)
I=(7,7)
N=(7,2)
Step-by-step explanation:
khan
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
what’s the system for 5x+21y=103 and -5x+23y=29
Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
Write an expression to represent:
Nine less than the quotient of two and a number z.
Answer:
2 / z - 9
Step-by-step explanation:
Don't worry division always goes before subtraction so you don't need any parenthesis.
Tell me if I'm wrong :)
Select the correct answer.
Which statement is a converse of p?
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades.
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades.
C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade.
D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.
C is the correct answer.
Help!! You have about 4+ hours to answer!! Help!!
Answer:
I think I'm doing this right?
Step-by-step explanation:
4.3
----
a. 4.3
b. 4.3
c. 4
Answer:
1. 4.30
2. 4.3
3. 4
Step-by-step explanation:
a. hundredths
4.30 is exactly in between 4.29 and 4.31
a. at the top: 4.31
a. at the bottom: 4.29
a. in the middle: 4.30
b. tenths
4.3 is exactly in between 4.2 and 4.4
b. at the top: 4.4
b. at the bottom: 4.2
b. in the middle: 4.3
c. ones
4 is in the middle of 3 and 5
c. at the top: 3
c. at the bottom: 5
c. in the middle: 4
9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}
Answer:
A and c sorry if I'm wrong
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12