mx + 5 = (x - 5) / m
mx + 5 = x/m - 5/mAnswer:
Step-by-step explanation:
first find the inverse equation
y = mx + 5
y - 5 = mx
(y - 5) / m = x
(x - 5) / m = f⁻ˣ(x)
The original function is a line with slope m and y intercept of 5
The inverse function is a line with a slope 1/m and x intercept of 5
so the common line is where m = 1/m
m = 1/m
m² = 1
m = ± 1
The only line with a common slope between these two options is when
m = -1 and y intercept is 5
Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
decimal place.
________ < μ < _______
Answer: [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
===========================================================
Explanation:
At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.
We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.
[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]
This value is approximate.
Do the same for the upper boundary as well
[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]
This value is also approximate.
We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5
Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].
Side note: The value 3.545 calculated earlier is the approximate margin of error.
free 100 xp answer with fav movies pls for 100 free xp , 100 free xp always is given by algebros every day. Please do enjoy this plentiful amount of free xp I care about how you are feeling introduce yourself with telling me about your fav movie and why it is your fav. Enjoy! Please answer
Step-by-step explanation:
My favorite movie would have to be the Pirates of the Caribbean collection. Captain Jack sparrow aka Johnny Depp is is just great at his character.
Answer:
FREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XP
Step-by-step explanation:
Evaluate the expression.
8P2
Answer:
8×100+P×10+2×1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Guided Practice
The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.
Type your answer and then click or tap Done.
The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )
Answer:
Step-by-step explanation:
hmm
The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The graph of the two functions can be made as shown below. Therefore, the two functions are,
y=2x² → Drawn by the red line
y = 2(x + 1)² − 4 → Drawn by the blue line
Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.
Hence, The vertex of the parabola after transformation is (-1,-4).
Learn more about Quadratic Equations here:
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#SPJ5
What single transformation was applied to quadrilateral A to get quadrilateral B?
A) translation
B) Rotation
C) Reflection
D) Dilation
Answer:
A) Translation
Step-by-step explanation:
Since the triangle didn't turn at all it isn't rotation.
Since the triangle wasn't flipped over a line it isn't reflection.
Since the size of the triangle wasn't changed it isn't dilation.
That leaves translation.
Which of the following shows the
Commutative Property?
A 3 + 6 = 6-3
B 3X 6 = 6 = 3
C 3X 6 = 6 - 3 X (3 X 2)
D 3 X 6 = 6 X 3
Answer:
D
Step-by-step explanation:
Commutative switchs the numbers but not with subtraction or divion
Answer:
it is D I know because it is the opposite
A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways
Learn more here:
https://brainly.com/question/23589217
Answer:
360
Step-by-step explanation:
6!/(6-4)!
5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution
Answer:
Step-by-step explanation:
The shadow length will be proportional to height
12 / 60 = h / 32
h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches
The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?
The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:
15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X
Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
Learn more in https://brainly.com/question/25561796
Introduction to Dividing Whole Numbers
Five friends shared $87 and kept this record of how they did it. What does the 2
represent?
Answer:
probably a
Step-by-step explanation:
answer.plsssssssssssssssssssssssssssssssssss
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?
[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
also need help with this one
Answer:
x=8°
Step-by-step explanation:
Let's make an equation with this problem, since all side have to add up to 180 degrees we can solve it
(5x-2)+(9x+3)+(11x-21)=180°
lets add up light terms
25x-20=180°
add both sides by 20 and we get 25x=200°
divide both sides by 25 and we get x=8°
Solve for x.
100°
(2x+3)
51°
Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?
Answer:
0.8 Euros
Step-by-step explanation:
Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.
3/2 (7/3x+1) = 3/2
Show work. (simple if possible)
Giving Brainliest.
Answer:
[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]
Step-by-step explanation:
Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40
Answer:
32 bracelets
Step-by-step explanation:
First multiply each bracelet by 4 to get the correct amount:
3x4=12
4x5=20
Then, add the two.
12+20=32
Need help with this
Answer:
It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
nope
Complete the equation to show how many tenths are equivalent to 1/2
Answer:
5/10
Step-by-step explanation:
4z-2 when z=3
plz help
Answer:
10
Step-by-step explanation:
4 times 3 = 12
12-2=10
Which value for x satisfies the equation 3x−6=15?
Answer:
x= 7
Step-by-step explanation:
1. Add 6 to both sides
2. simplify
3. Divide by the same term
4. simplify
Answer:
7
Step-by-step explanation:
3x7=21
= 21 - 6 = 15
I hope you find it helpful ..
Good luck
help ??? on edu math review
Answer:
It must be C.
Step-by-step explanation:
x² - 9 = 16
=> 16 + 9 = x²
=> 25 = x²
=> x = 5
Referring to the options, C is the only one that is accurate to me. Hoped this helped.
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:
Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this
Please help! Grade 7 math
Answer:
6 apple pies
Step-by-step explanation:
Given the triangle below, find the value of x
Answer:
I think it is b I’m not quite sure though. Sorry if wrong…
Step-by-step explanation:
1. Describe the location of entry m52 in a matrix called M
Check the picture below.
The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?
A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.
Answer:
N 2.4 ∘ W or Bearing 357.6 ∘
672.2x km/hr
Step-by-step explanation: