Answer:
z = x-u/s
z = 2600 - 2020/456
z = 1.27
= .897
1-.898 = .102
z > 1.27 = 10.2%
The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
What is the z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.
The percentage will be calculated as,
z = x-u/s
z = 2600 - (2020/456)
z = 1.27
The value of z=1.27 in the table is 0.897. The percentage will be calculated as,
P = 1-.898 = .102
z > 1.27 = 10.2%
Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
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List the smallest three values in the set below. {x | x ∈ E and x < 30}
Answer:
Step-by-step explanation:
Notation
We need some notation to make talking about sets easier. Consider,
A
=
{
1
,
2
,
3
}
.
Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
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Complete the equation of this circle:
А
(x – [? ])2+(y - [ ])2= [ ]
Answer:
[tex]r = \sqrt{ {2}^{2} + {2}^{2} - 3 } = 5 \\ {(x - 2)}^{2} + {(y - 2)}^{2} = 3[/tex]
PLEASE HELP GEOMETRY
which transformation is shown here
A) dilation
B) reflection
C) rotation
D) translation
Answer:
reflection
Step-by-step explanation:
The transformation is a reflection across the dashed line.
Answer: reflection
Answer:
B) reflection
Step-by-step explanation:
A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection.
Hope it is helpful...What is the expression in radical form?
(20) 5/2
Enter your answer, in simplest form, in the box.
Help please ASAP ASAP
Answer:
9
Step-by-step explanation:
At the y axis the number is 4
At the x axis the number is -5
So 4-(-5)=9
find the measurement of angle RST
Answer:
Angle RST is nowhere to be found
Step-by-step explanation:
Help us help you. Please include enough information to answer your question.
what is congruent angle?
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..
Students and adults purchased tickets for a recent school play. All tickets were sold at
the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was
collected. 200 tickets were sold.
b. Solve the system you create to find the exact number of student tickets sold and
adult tickets sold.
Answer:
120 student and 80 adult tickets
Step-by-step explanation:
8x + 10y = 1760
x + y = 200
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
I need help with this pls help and write the Correct answer
Help please asp. !!!
9514 1404 393
Answer:
(d) 101,376 square inches
Step-by-step explanation:
At $5.50 each, Larry can afford ...
$485/($5.50/board) ≈ 88.2 boards
Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...
(88)×(8 in)(144 in) = 101,376 in²
HELP PLZZZZZZZZZZZ I NEED ITTT OMG
I hope this is help full to you
[tex]3) \: \: \: 4(2y + z) - 3(3y + z) \\ \\ = 8y + 4z - 9y + 3z \\ \\ = - y + 7z[/tex]
[tex]4) \: \: \: \: x(4x - 2) - 3x(x + 1) \\ \\ = 4x {}^{2} - 2x - 3 {x}^{2} - 3x \\ \\ = {x}^{2} - 5x[/tex]
[tex]5) a> \: \: 3(2 + c) \\ \\ = 6 + 3c[/tex]
[tex]b> \: \: \: 2a(b - 4) \\ \\ = 2ab - 8a[/tex]
[tex]c> \: \: \: ab(b + c) \\ \\ = ab {}^{2} + abc[/tex]
Hope This Helps You ❤️A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
Zahara frosted eleven cupcakes today. Dania frosted seven times as many. How many cupcakes did Dania frost?
in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?
Answer:
((90*3)+(40*6))/9
=(90+90+90+40+40+40+40+40+40)/9
=66.66
Step-by-step explanation:
A, higher than her sisters score
1. Find the value of x.
X+ 15.92 = 21.378
Answer:
x= 5.458
Step-by-step explanation:
x+15.92 = 21.378
- 15.92 - 15.92
x = 5.458
Helpful hint: You just have to use inverse opperation to solve these problems
So, basically the opposite of what it is.
Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?
Jonah should shade 6 parts of 10 equal parts to show 3/5.
Hope this helps! :)
The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?
Answer:
a
Step-by-step explanation:
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
Find two points
(0,-2) and (3,0)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (0- -2)/(3-0)
= (0+2)/(3-0)
= 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].
The slope of the line that passes through these points is:
[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]
Find the value of x. Round your answer to the nearest tenth.
Answer:
35 is the value of x
help please. really need answers to understand
Answer:
hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)
Step-by-step explanation:
1) A = P (1+ r/n) ^ nt
interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12
A = 10,000(1 + .04/12)^(3*12)
A = 10000(1.00333)^36
A = $11,272.71
========================
2) [tex]A = pe^{rt}[/tex]
A = 15,000 [tex]e^{.06 t}[/tex]
18,000= 15,000 [tex]e^{.06 t}[/tex]
1.2= [tex]e^{.6 t}[/tex]
ln(1.2) = .06t (ln e)
.1823 / .06 = 3.03 years
Note: ln e = 1
==========================
[tex]3^{5x+1} = 27[/tex]
[tex]3^{5x+1} = 3^{3}[/tex]
thus: 5x+ 1 = 3
5x = 2
x = 2/5
==============================
f(x) = 5x - 12
y = 5x - 12
inverse
x = 5y - 12
5y = x + 12
y = 1/5 x + 12/5
=====================
fog(X) =
f(X) =6x+12
g(x) = x^2 + 3
fog(X) = 6(x^2 + 3)+12
= 6x^2 + 18 + 12
= 8x^2 + 30
Domain (- infinity, + infinity)
======================
vertex 3x^2 - 6x + 2
verted = [-b/2a, f(-b/2a)]
a=3 , b=-6 , c = 2
-b/2a = 6/6 = 1
f(-b/2a) = -1
vertex = (1,-1)
=======================
30x - .4x^2
-30/-.8 = 37.5
max rev = 30(37.5) - .4(37.5)^2 = $562.5
Ben sold his small online business for $100,000. The purchaser will pay him $20,000 today, then $20,000 every year for the next four years. Assume that Ben could invest a lump-sum payment today in an account yielding an interest rate of 4% annually. Find the total present value of all five payments.
A.
$87,096
B.
$88,384
C.
$92,598
D.
$93,964
Answer:
c.92,598
Step-by-step explanation:
20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)
= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08
= 92597.7
= 92,598
What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees
Find the values of a through e that make these two relations inverses of each other.
Answer:
-1.4 1,0,-0.2 so this is the solution for this problem
II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
What about the how many sticks would there be in pattern number n?
Answer: 3
Step-by-step explanation:
What’s the area of the rectangle
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!
Answer:
32
Step-by-step explanation:
1-4
Answer:
1331/x =x²/1331
cros multiplying
x³=1331²
x=³√(1331²)
Find the volume of the prism.
9514 1404 393
Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³