An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
Latisha hired 4 babysitters in the last month. She paid a total of $170 in babysitting fees. If each babysitter worked a total of 5 hours and is paid the same amount, how much did each babysitter earn per hour?
8.5Step-by-step explanation:
a bowl contains 15 gra
Answer: hi
Step-by-step explanation:
Answer:
And, so...
What about the 15 grams?
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x=57 degree
Step-by-step explanation:
Answer:
x=57
Step-by-step explanation:
(x-5) + (2x+4) = 180
get all xs on the same side non xs on other side till you get
3x=171
then divide 171 by 3
x = 57
Which operation will "undo" multiplication? division multiplication subtraction addition
Answer:
The division operation!
Step-by-step explanation:
when you multiple two variables, the one way to undo then is division.
Hope this helps! :)
Answer:
Division
Step-by-step explanation: Because I Got It Right On My Assignment
use number properties to simplify the expression
-5+(5+3)
Answer:
u
Step-by-step explanation:
How do you write it in a fraction?
Look at this set of ordered pairs:
(16, 2)
(15, 5)
(0,4)
Is this relation a function?
yes
no
Answer:
Yes!
Step-by-step explanation:
There are no repeating y values or x values!!
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
https://brainly.com/question/19589236
what is the distance between points F(2,9) and G(-2,6)? Round to the nearest whole number.
Answer:
idk i need points
Step-by-step explanation:
Answer: Distance = 5
Step-by-step explanation:
I took the test yesterday and got it correct, I am reliable
WILL GIVE BRAINLIEST EASY
drag and drop correct answers
Answer:
X- int: -3,0 and 1,0
Y- int: -3, 0
Domain: -inf to +inf
Range:+in to -4
Minimum Value : -4, 1
3. If the circumference of a round table is 90 inches, what is the area of the table to the nearest
tenth?
Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?
A) part
B) whole
C) percent
Answer:
A
Step-by-step explanation:
helpppppp I'll give you brainy est
Answer:
Put those equations into desmos
Step-by-step explanation:
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
an airplane begins to descend for a landing. the elevation g (in feet) of the airplane is modeled by the function: g(t)= 4800-300t, where t is the time (in minutes) since the airplane began to descend. what is the y- intercept?
Answer:
The y-intercept in this case is 4800
Step-by-step explanation:
The equation of a line graph is ;
y = mx + c
with respect to the given equation in the question, the y-intercept in this case is 4,800
In this case the y-intercept represent the height from which the plane starts to descend
Lydia ran the same race in 43.85 seconds on her first try and 43.24 seconds on her second try. How much faster was her second try?
Answer:
She ran faster on her second try by 0.61 seconds.
Step-by-step explanation:
43.85-43.24
0.61
plz
I will mark brainliest
Answer:
a)10
b)-11.4
Step-by-step explanation:
you should find common denominator bit don't forget that they are negative
Add. Write your answer as a fraction in simplest form.
9/10+(-4/5)=?
Answer:
The answer is 1/10
Write the equation in slope-intercept form of a line that passes through the given point and
is perpendicular to the graph of the given equation:
y = 1/9x – 4 given point: (–2,9)
Answer:
The answer is y=9x+27
Step-by-step explanation:
Y= 9x+b
9 = 9(-2)+b
9=-18+b
27=b
Find PNO, please help asap
Answer:
Step-by-step explanation:
Since MNP is equilateral, so <PNM=60, and since OP//NM, and <PON is 90, so <MNO=90=<PNM+PNO,so 90=60+<PNO,so <PNO=30
Jonas has $75 to spend on new clothes. The pair of jeans he wants costs $48.50. Which inequality best represents the amount of money Jonas can spend on shirts?A. s+48.50≥75, B. s+48.50 75, D. s+48.50≤75
can someone pls help me quickly
[tex]\frac{2}{\sqrt{2}}=\boxed{\sqrt{2}}[/tex]
The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.
Calculate the area of the square.
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
The area of the square based on the information is 49cm².
Since the rectangle has length 8 cm and area 48 cm², the width will be:
= 48/8 = 6cm.
Therefore, the perimeter will be:
= 2(l + w)
= 2(8 + 6)
= 28cm
Therefore, the length of the square will be:
= 28/4 = 7
Area of the square will be:
= 7cm × 7cm
= 49cm²
Learn more about perimeter on:
https://brainly.com/question/16596982
Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people
Answer:
The amswer is B, 16 people.
Determine the intercepts of the line.
y = 80 - 18
Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
which is the solution to the inequality 2 3/5 b-8/15
Answer:
115b−120Step-by-step explanation:
Answer:
b>47/15 ... I think
PLEASE HELP ASAP
Factor 3x+6y-9z
At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
On a scavenger hunt, you find 16 out of 25 objects. Write "16 out of 25" as a fraction, a decimal, and a percent.
Fraction:
Decimal:
Percent:
I need help ASAP
Answer:
Fraction: 16/25 Decimal: 6.25 Percent: 6%
Step-by-step explanation:
I am 99.99% sure this is right.. I hope it helps you.
The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The Given statement is "16 out of 25".
The statement in mathematical form is:
16/25 (Fraction)
= 0.64 (Decimal)
= 64% (percent)
Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.
Learn more on fractions here:
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