"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.
Given: [tex]\overline{x}[/tex] = $20.3
n= 2333
[tex]\sigma[/tex] = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
solve for x: x²/x-3=x+2/2x-5
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
I think the the answer is 20
pleas help me ill give brainleyest
Answer:
11.8% Decrease
Step-by-step explanation:
I googles it i am sorry if it's not right
* Pending
This map shows the organization that was
association of nearly 30 countrior
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
How many students like both Tennis and Soccer but not Surfing
Answer:
None.
Step-by-step explanation:
Answer: where’s the picture?
Step-by-step explanation:
Find the Unit Rate.
216 diving students to 12 instructors
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
What is the equation for calculating portion size?
Answer:
How to Easily Calculate the Serving Size in Recipes
Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...
Divide the Recipe into Servings. ...
Calculate Calories. ...
Save the Information.
Step-by-step explanation:
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.
Answer:
x=14
Step-by-step explanation:
3+1.50x=24
24-3=21
21/1.50=14
Answer is C which is 14
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
What is the value of x?
Answer:
Step-by-step explanation:
where are the other variables?
Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)
Answer:
y = 3x+7
Step-by-step explanation:
The standard form of equation in slope-intercept form is:
y = mx+c
m is the slope
c is the intercept
Given the coordinates (-3, -2) and (3, 16)
Get the slope;
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
Slope = 16-(-2)/3-(-3)
Slope = 16+2/3+3
Slope = 18/6
Slope = 3
Get the Intercept
Substitute one of the points in the formula:
Using the coordinate (-3, -2)
y = mx+c
-2 = 3(-3)+c
-2 = -9 + C
c = -2+9
c = 7
Get the equation of the line by substituting m and c into the equation y = mx+c
y = 3x+7
If product of two numbers=384HCF=8,2cm=?
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
Is anyone willing to answer this question I can’t do it
Answer:
Not 100% sure on this make sure you double check
Step-by-step explanation:
X- 10
Y- 10
Slope- (-1)
like I said this could be wrong
Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate?
Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
Read more: https://brainly.com/question/22621039?referrer=searchResults
44. Skiing A skier is trying to decide whether or not to buy a
season ski pass. A daily pass costs $67. A season ski pass
costs $350. The skier would have to rent skis with either pass for $25 per day. How many days
would the skier have to go skiing in order to make the season pass less expensive than
daily passes?
how much is twice the size if im 3 ft 7 in tall
Answer:
the answer is 7.1 inches tall
Using the following conversions between the metric and U.S. systems, convert the measurement. Round your answer to the nearest tenth as needed
There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart,
and 4 quarts in a gallon.
1L ~ 0.26 gallons
9 fl oz _____ mL
Answer:
266.162 ml
Step-by-step explanation:
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answer:
1,3,4
Step-by-step explanation: hope this helps you
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
HELP PLEASEEEEEEEEEEE
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
Find an equation of the line that satisfies the given conditions.
Through (2, 9); parallel to the line passing through (3, 7) and (−1, 3)
9514 1404 393
Answer:
y = x +7
Step-by-step explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
__
The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
Learn more about a line here: https://brainly.com/question/27560536
#SPJ2
DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = y2 - y1
x2 - x1
m = 1 - (-2)
0 - 1
= 3 = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.