A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distribution is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile. PreviousNext
Answers
Answer:
$1945Step-by-step explanation:
Let X be the normal distribution
Kindly find attached a detailed annotation of the solution to the problem.
in the attached document, we found the value that corresponds to 80th percentile, hence we found the value such that the probability that the variable x is lower than this value is 0.8.
Also, from the calculation, we found that the value which corresponds to the 80th percentile is $1945
Related Questions
q log a -3 log b
Condense logarithm
Answers
Answer:
Step-by-step explanation:
q log a is equivalent to log a^q. Note: This assumes that the base of your logarithmic system is 10.
-3 log b is equivalent to log b^(-3)
and so q log a -3 log b in condensed logarithm form is
log {a^q*b^(-3)}
a^q
or log -----------------
b^3
factorise
a) 4p²-81
b) x²-13x+36
Answers
Answer:
A = (2p + 9) (2p - 9)
B = (x - 9) (x - 4)
Step-by-step explanation:
For A : Rewrite 4p^2 as (2p)^2.
(2p)^2−81
Rewrite 81 as 9^2.
(2p)^2−9^2
Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .
(2p + 9) (2p − 9)
For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .
-9, -4
(x - 9) (x - 4)
I hope this helps.
Name the shapes based on the descriptions.
1) Opposite sides are congruent and diagonals are not congruent.
2) Opposite sides are congruent and diagonals are congruent.
3) All four sides are congruent and diagonals are not congruent.
4) All four sides are congruent and diagonals are congruent.
Answers
Answer:
circle
Step-by-step explanation:
Answer:
1) Parallelogram
2) Rectangle
3) Rhombus
4) Square
100
Ave. High
Ave. Low
[Graphs generated by this script: initPicture(1.5,65.5,-8,32);stroke="cyan";line([10,0],[10,30]);line([65,0],[65,30]);line([10,0],[65,0]);line([10,5],[65,5]);line([10,10],[65,10]);line([10,15],[65,15]);line([10,20],[65,20]);line([10,25],[65,25]);line([10,30],[65,30]);stroke="green";text([10,-1],"Jan","right","0");stroke="red";text([10,13],"30","right","0");fill="red";rect([10.75,5],[12,12.5]);stroke="blue";text([11.5,-0.25],"-17","right","0");fill="blue";rect([12.25,5],[13.5,0.75]);stroke="purple";text([14.5,-1],"Feb","right","0");stroke="red";text([14.5,16],"42","right","0");fill="red";rect([15.25,5],[16.5,15.5]);stroke="blue";text([16,1.5],"-10","right","0");fill="blue";rect([16.75,5],[18,2.5]);stroke="black";text([19,-1],"Mar","right","0");stroke="red";text([19,19],"54","right","0");fill="red";rect([19.75,5],[21,18.5]);stroke="blue";text([20.5,2.75],"-5","right","0");fill="blue";rect([21.25,5],[22.5,3.75]);stroke="green";text([23.5,-1],"Apr","right","0");stroke="red";text([23.5,22],"66","right","0");fill="red";rect([24.25,5],[25.5,21.5]);stroke="blue";text([25,7.75],"7","right","0");fill="blue";rect([25.75,5],[27,6.75]);stroke="purple";text([28,-1],"May","right","0");stroke="red";text([28,26],"82","right","0");fill="red";rect([28.75,5],[30,25.5]);stroke="blue";text([29.5,12.25],"25","right","0");fill="blue";rect([30.25,5],[31.5,11.25]);stroke="black";text([32.5,-1],"Jun","right","0");stroke="red";text([32.5,28.75],"93","right","0");fill="red";rect([33.25,5],[34.5,28.25]);stroke="blue";text([34,14.25],"33","right","0");fill="blue";rect([34.75,5],[36,13.25]);stroke="green";text([37,-1],"July","right","0");stroke="red";text([37,29],"94","right","0");fill="red";rect([37.75,5],[39,28.5]);stroke="blue";text([38.5,16.25],"41","right","0");fill="blue";rect([39.25,5],[40.5,15.25]);stroke="purple";text([41.5,-1],"Aug","right","0");stroke="red";text([41.5,25],"78","right","0");fill="red";rect([42.25,5],[43.5,24.5]);stroke="blue";text([43,11.5],"22","right","0");fill="blue";rect([43.75,5],[45,10.5]);stroke="black";text([46,-1],"Sept","right","0");stroke="red";text([46,23],"70","right","0");fill="red";rect([46.75,5],[48,22.5]);stroke="blue";text([47.5,6.75],"3","right","0");fill="blue";rect([48.25,5],[49.5,5.75]);stroke="green";text([50.5,-1],"Oct","right","0");stroke="red";text([50.5,18],"50","right","0");fill="red";rect([51.25,5],[52.5,17.5]);stroke="blue";text([52,1.75],"-9","right","0");fill="blue";rect([52.75,5],[54,2.75]);stroke="purple";text([55,-1],"Nov","right","0");stroke="red";text([55,14.75],"37","right","0");fill="red";rect([55.75,5],[57,14.25]);stroke="blue";text([56.5,0.25],"-15","right","0");fill="blue";rect([57.25,5],[58.5,1.25]);stroke="black";text([59.5,-1],"Dec","right","0");stroke="red";text([59.5,14.5],"36","right","0");fill="red";rect([60.25,5],[61.5,14]);stroke="blue";text([61,0.25],"-15","right","0");fill="blue";rect([61.75,5],[63,1.25]);stroke="purple";text([1,15],"Degrees Fahrenheit","right","90");text([34,-2.5],"Month","right","0");text([22.5,31.5],"Average Monthly Temperature","right","0");text([5,0],"-20","right","0");text([5,5],"0","right","0");text([5,10],"20","right","0");text([5,15],"40","right","0");text([5,20],"60","right","0");text([5,25],"80","right","0");text([5,30],"100","right","0");fill="white";rect([19,-7.5],[54,-3.5]);fill="red";rect([20,-6.5],[25,-4.5]);stroke="black";text([25,-5.5],"Ave. High","right","0");fill="blue";rect([40,-6.5],[45,-4.5]);stroke="black";text([45,-5.5],"Ave. Low","right","0");]
Using the bar graph from above to answer the following questions:
a) What is the average monthly low temperature for Bogusville?
∘
F
b) What is the average monthly high temperature for Bogusville?
∘
F
c) What is the average monthly high temperature for Bogusville during the fourth quarter of the year?
∘
F
d) What is the average monthly low temperature for Bogusville during the fourth quarter of the year?
Answers
Whats would be the closest answer to this question
Answers
Answer:
KM
JK
PK
MJ
i hope this helps
c-c+a+ |a|; use a = 4, and c=5
Answers
Answer:
c-c+a+|a|
5-5+4+|4|
8
Step-by-step explanation:
7th GRADE WORK HELPPP!!! ILL BRAINLIST!!!
Answers
Answer: Rachel's prediction is faster than the actual unit rate, and Theadore's prediction is slower.
Answer:
I'm pretty positive the answer is B
Step-by-step explanation:
Since it's been 7 1/2 weeks and they thought it would grow atleast 2/5 a foot a week that should mean it's growing faster than anticipated.
If f(2) = 22 – 5, then what is the value of f(2) + f(5)?
Answers
Answer:
67
Step-by-step explanation:
With the information of f(2) = 22-5, you can assume the equation will be f(x) = 11x-5. Using this, you can calculate f(5) by doing 11(5)-5, which is 50. 22-5 is 17, so 50+17=67
Which expression is equivalent to -6(-2/3+2x)?
-4 -12x
-4+2x
4 - 12x
4+12x
Answers
Answer:
4-12x
Step-by-step explanation:
-2/3*-6 is 4
-6*2 is -12
4-12x
Answer:
The third one, 4-12x
Step-by-step explanation:
You want to find an equation that equals 4 - 12 x
through: (-3, 2), parallel to y = -
4
5
x + 1
Answers
Answer:
[tex]y=\frac{-4}{5}x-\frac{2}{5}[/tex]
Step-by-step explanation:
passes through (-3,2), parallel to y=-4/5x + 1
[tex]y-y_{1} =m(x-x_{1} )\\y-2 =\frac{-4}{5} (x+3)\\y-2=\frac{-4}{5}x-\frac{12}{5}\\y=\frac{-4}{5}x-\frac{2}{5}[/tex]
an angle measures 38 degrees more than the measure of its supplementary angle. what is the measure of each angle?
Answers
x+(x+38)=180
2x+38=180
2x=142
x=71
x+38
71+38=109
what is 2 to the power of 2 multiply 5
Answers
1) simplify 2^2 to 4
4*5
2) simplify
20
.164 round to the nearest tenth
Answers
Answer:
.2
Step-by-step explanation:
Y-z=m(x-k) solve for x
Answers
Answer:
x = y/m - z/m +k
Step-by-step explanation:
identify the x and y intercepts
Answers
Answer:
(1,0) (0,8) thats all I see
Step-by-step explanation:
Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 and 10,900 feet, respectively. Write an equation expressing their elevation in relation to time.
Answers
Answer:
[tex]h=40t+9700[/tex]
where the elevation, h, is in feet and time, t, is in minutes.
Step-by-step explanation:
At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and
at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.
As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.
So, there will be a linear relationship between the elevation and the time.
Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is
[tex]h=mt+C_0\;\cdots(i)[/tex]
where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.
The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.
and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.
So, change in the elevation in unit time,
[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.
Now, from equation (i)
[tex]h=40t+C_0[/tex]
As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so
[tex]10,300=40\times15+C_0[/tex]
[tex]\Rightarrow C_0=9700[/tex]
Hence, the required equation is
[tex]h=40t+9700[/tex]
where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.
HELP What is an equation for the parallel to y= 3x-1 that passes through (-9,-2)
Answers
Answer:
The line parallel to this equation would be y=3x+25
Step-by-step explanation:
A parallel line has the same slope but a different y-intercept (so just ignore the "-1" in the equation ) Our goal is to find the y-intercept ("b")
We will start with
y=3x+b, plug in (-9,-2) for the x and y
-2=3(-9)+b
-2=-27+b, add 27 to both sides
-2+27=-27+27+b (the 27's on the right side cancel side)
b=25
our new equation is y=3x+25
help me please :(((((
Answers
Answer:
4 4 4
4
4
Step-by-step explanation:
it is all the same number, im being 4 real
I know it’s hard to read, but if u can, please help!!
Answers
Answer:
4th choice (if we guessed the blurry letters properly)
Step-by-step explanation:
The reflection maps ...
(x, y) ⇒ (x -y)
Then the rotation maps ...
(x, -y) ⇒ (y, x)
That is, R(-1, 4) becomes R'(4, -1), apparently matching point S, the only point at (4, -1). We can't read the letters, but we know that you only need to know where R ends up in order to select the correct answer.
5(5t-2) = -35
show how to solve the given equation
Answers
25t-10=-35
+10 +10
25t =-25
divide by 25 on both sides
t=-1
Find the value of a. then find the angle measures of the polygon
Answers
2a+2a+a+a=360
6a=360
a=60
2a
2(60)=120
List websites where you can watch anime for free without adds!!
Answers
Answer:
netflix is all I use for the website lol
Answer:
There's no such place to watch anime without ads. Jk I'm not quite sure but yeah.
This has no answer choices
Answers
Answer:
I think x eaquals 130
Step-by-step explanation:
Because if you add 50 to 130 you get 180 a a straight line is 180 hope this helps
Express the percent as a decimal.
30\%30%30, percent
Stuck help
Answers
1/2 = q + 2/3
and
p - 3 1/6 = -18.73
please help, im giving 20 points
Answers
Answer:
see below
Step-by-step explanation:
1/2 = q + 2/3
Subtract 2/3 from each side
1/2 -2/3 = q+2/3-2/3
Getting a common denominator of 6
3/6 - 4/6 = q
-1/6 =q
p - 3 1/6 = -18.73
Add 3 1/6 to each side
p - 3 1/6 + 3 1/6 = -18.73 + 3 1/6
p = -18 73/100 + 19/6
Get a common denominator
p =- 5619/300 + 950/300
= -4669/300
=-15 169/300
Which number line represents the solution to the inequality 1 + 2x < -7?
Answers
Answer:
[tex]\boxed {x < -4}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]1 + 2x < -7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]1 - 1 + 2x < -7 - 1[/tex]
[tex]2x < -8[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]
[tex]\boxed {x < -4}[/tex]
The number line:
Simplify the expression (2d + 3) + (3d − 12).
Answers
Answer:
5d - 9
Step-by-step explanation:
Step 1: Write equation
(2d + 3) + (3d - 12)
Step 2: Combine like terms
5d - 9
Ray bike 11 miles last week jack bike 12 miles last week jack biked how many times as many miles as ray
Answers
Answer:
Step-by-step explanation:0.1
HELP I NEED ANSWERS NOW!!
It is 3/4 before closing time at the grocery store. It takes about 1/8 hours for Jane to find 1 item on her shopping list. How many items can Jane find before the store closes?
(please help i'm dumb)
Answers
Answer:i think you will have 5/1 sorry if i am wrong
i t
Step-by-step explanation:
Given the parent function f(x) on the left below, which graph could represent g(x) = -f(x) -2
Answers
Answer:
A
Step-by-step explanation:
To do this, you look at each point. What -f(x) means is that you flip the function over the x axis. In this case, c doesn't work. Then, you have to look at the -2 term. That means that the entire function, all the points, are shifted 2 units down. The image isn't very clear for me but I am pretty sure it is A.