Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
"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)
Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?
Answer:
x = amount of 100% acid solution (pure acid, no water)
y = amount of 10% acid solution (acid + water)
both amounts are in liters
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:
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
This is a fast question i will give you brainlest if you annswer this question What is elapsed time also what 100 ÷ 300 no rush just try yiur best. Thank you
Answer:
100÷300 =3 I know only this answer
1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70
Answer:
c
Step-by-step explanation
7x3=21
125-34=91
91+21=112
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?
A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5
Answer:
B
Step-by-step explanation:
y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.
What is the value of x?
Answer:
Step-by-step explanation:
where are the other variables?
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21
Which is the best description for the graph?
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
B. Solve the following Polynomials:
1. u³ + 64
Answer:
(4 + u)(16 – 4u + u2)
Step-by-step explanation:
64 + u3.
= 43 + u3.
= (4 + u)(42 – 4.u + u2).
= (4 + u)(16 – 4u + u2).
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.
how much is twice the size if im 3 ft 7 in tall
Answer:
the answer is 7.1 inches tall
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:
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.
The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answer:
18
Step-by-step explanation:
to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.
hope this helped :))
Determine the intercepts of the graph please be sure
Answer:
X= (_7, 0)
Y= (0, 2
Step-by-step explanation:
We meet again
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.
Answer:
50.1
The area of the composite figure is 50.1
Trust me
A closet is 3 yards wide. What is its width in inches?
Answer:
The closet is 108 inches wide.
Step-by-step explanation:
Because 1 yard is 36 inches, and 36 times 3 is 108.
If (2"x3mx83x90)/(15x162X912 # 48. then (m, n) is:
N
Answer:
pet for sale
Step-by-step explanation:
soory pls mark me brainbelela
There are 252 players on 18 teams. How many players are on each team?
Answer:
14
Step-by-step explanation:
252 divided by 18 = 14
hope this helps! :D
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.
Answer:
on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)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:
Someone plz help me with this I will mark you as brainlyest
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
Find an equivalent ratio in simplest terms 44:80
Answer:
11:20
Step-by-step explanation:
Divided by 4
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:
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