Step-by-step explanation:
10.4feet by 7.4feet11.1 feet by 8.1 feet
Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers use regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters, in inches, recorded from 31 felled trees.
Estimate Std Error t-value Pr(>|t|)
Intercept 62. 031 4. 383 14. 15 0. 0000
Diameter 1. 054 0. 322 0. 2028 3. 27
Required:
What is a 95 percent confidence interval for the slope of the population regression line?
Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as
C=(0.396, 1.712)
What is a 95 percent confidence interval for the slope of the population regression line?Generally, the equation for the confidence interval is mathematically given as
[tex]C=\beta-tn-2, \alpha /2 (S.E)[/tex]
Where
[tex]\beta=1.054[/tex]
Therefore
C=(1.054-t29, 0.025*0.322)
C=(0.396, 1.712)
In conclusion, the 95 percent confidence interval is
C=(0.396, 1.712)
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Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled r with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. the equation of the trend line is
The equation of the trend line is ŷ = 0.15x - 23.21
How to determine the average rate of change of the trend line?The points are given as:
hr =>808, 768, 655, 684, 637, 619, 613, 609, 563
w => 93, 94, 66, 81, 86, 75, 61, 69, 55.
Using a graphing calculator, we have the following calculation summary:
Sum of X = 5956Sum of Y = 680Mean X = 661.7778Mean Y = 75.5556Sum of squares (SSX) = 50569.5556Sum of products (SP) = 7547.1111The regression equation is represented as:
ŷ = bX + a
Where:
b = SP/SSX
b = 7547.11/50569.56
b = 0.14924
a = MY - bMX
a = 75.56 - (0.15*661.78)
a = -23.20961
This gives
ŷ = 0.14924X - 23.20961
Approximate
ŷ = 0.15x - 23.21
Hence, the equation of the trend line is ŷ = 0.15x - 23.21
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Answer:
D.) y = 0.15 - 23.21
Step-by-step explanation:
I took the assignment
Please help me with this :)))))
If
Answer:
c) x = 20, angle COD = 70 °
Step-by-step explanation:
(x+50)° + 90° +20° = 180°
x + 160° = 180°
x = 180°- 160°
x = 20
Angle COD = (x+50)° = (20 +50)° = 70°
Hope this helps
The graph shows the relationship between the distance a bicyclist travels and the time in hours.
100
90
80
70
Distance (mi)
60
50
40
30
20
.
10
Time (h)
A shopkeeper bought 30 pens for 150 and sold 20 of them for 140. Find his profit or loss percentage
Answer:
Because the cost price of 30 pens = Rs. 150
So, the cost price of 1 pen = 150/30 =5
so, the cost price of 20 pens =
Rs. 5 x 20 = 100
Cp is Rs. 100
Sp is Rs. 140
So, profit = 140-100 = Rs. 40
Profit % = (Profit x 100)xCp
=(40 x 100)/100
= 4000/100
= 40% profit
Step-by-step explanation:
11. Write down three different whole numbers so that: • the median of the three numbers is 13, the range of the three numbers is 5.
Step-by-step explanation:
Let the numbers be a, b, c in ascending order.
Mean is 7, i.e. (a+b+c)/3 = 7 or a+b+c=21
Median(middle number) is 5, i.e. b=5
Range is 8, i.e. c-a=8 or c=8+a
Solving the above three equations simultaneously, we have
a+5+8+a=21
a=4, hence c=12
Therefore the three numbers are 4, 5 and 12
.divide the problem.
Answer:
[tex]x - 2x - 15 \: divided \: by \: x - 3[/tex]
according to the above x²-2x-15 divided by the number below x-3 first I cancel out the x[tex]x - 2x - 15 \: divided \: by \: - 3[/tex]the we solve the next x-5 divided by x²-9 then as usual rule out the x[tex] - 5 \: divided \: by \: x - 9[/tex]now we only have x-2x-15 divided by-3 divided by-5÷x-9 now our next step is to again single the equations out [tex]x - 2x - 15 \: divided \: by \: - 3 \: lets \: rue \\s \: rule \: out \: - 3 \: and \: 15 \: giving \: us \: x - 2x - 5[/tex]now the next -5 divided by x-9 here there's nothing to rule out therefore the sign "÷" is changed to "×" cancel out the -5 and therefore we have [tex]x - 2x = x - 9 \: as \: final \: answer[/tex]solve the system of linear equations by graphing
x+y=18
y=x+12
Answer:
it equals =204 y=12
Which function’s graph is shown below?
Here is an expression.
1} :
Which situation could the expression model?
O A. A bag of almonds weighs 13 pounds. When of
the bag of almonds remain, how many pounds do
the almonds weigh?
B. How many cup servings of yogurt are in 1 cups
of yogurt?
o C. A student made 6 bows from 1 yards of ribbon.
How many bows can be made from yard of
ribbon?
OD. A girl has 1 cups of soup. She eats of the soup.
How many cups of soup remain?
Answer:
b
Step-by-step explanation:
is the situation could the expression model.
4x + 9y - 9 = 0
y intercept =
Just need a bit off help! 10 points for each question and another 10 for the help so 50 points
Answer:
84, do 252/3
7.5, do 180/24
0.45, do 9/20
1.4, do 11.2/8
Calculate the sale price on a mobile phone with a marked price of $145, and a
discount of 53%
$68.15
P=Original price=145
D=Discount=53%
Sales=S
S=P-PD
S=145-(145×53%)
The Dolphins' hockey coach kept track of how many goals the team scored in the first half of their season.
Answer:
the median is 3 for your question
6.4r−7−2.9r simplified is
Answer:
3.7r -7
Step-by-step explanation:
Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.
The rectangles below have the same perimeter.
AS BASICALLY IF I TELL U THE CORRECT ANSWER OF ORANGE RECTANGLE IS16ML2
Answer:
16 mi squared
Step-by-step explanation:
Gray perimeter :16 (5,5,3,3)
Orange perimeter :16 (4,4,4,4)
Area of Gray :15 (5x3)
Area of Orange :16(4x4)
Nikkita sold her old textbooks for $54 a piece. When she was done, she had $324, but she still had 8 textbooks left. How many textbooks did she start with?
Answer:
14 :D
Step-by-step explanation:
First we must divide!!
324/54 = 6
Now we add :)
6 + 8 = 14
Have an amazing day!!
Please rate and mark brainliest!!
Please help me and you will get the brainiest answer.
Answer:
the right answer is c(5) . because the last digit of the second number is 2 . every number that its last digit is 2 squared , the last digit of the result will always be 4 . also , in every number that its last digit is five , the result will also always be 5 . so if the last digit of the first number is 5 this equasion is correct (because the last digit of the answer is 9 )(5+4)
hope that helped
What is the solution to the inequality |2n +5| > 1?
Answer:
the answer is C
Step-by-step explanation:
I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them
Answer:
Step-by-step explanation:
They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2
for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle 360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.
some of the problems you can set up the equation and solve.
17) 63 = {(360-x) - x} /2 multiply by 2
126 = {(360-x) - x} combine like terms
126 = 360 - 2x subtract 360
-234 = -2x divide by -2
117 = x
? = 117 degrees
good luck
Use the Fundamental Counting Principle to find the total number of possible outcomes.
Beverage
Size Small, Medium, Large
Flavor
Orange juice, Apple juice,
Lemonade, Milk
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.
What is 18.5% of 500?
9.25
92.5
925
0.925
Answer:
92.5
Step-by-step explanation:
[tex]\frac{18.5}{100} = \frac{x}{500}[/tex]
cross multiply:
18.5 · 500 = 9250
100 · x = 100x
isolate x by dividing 100 from both sides:
x = 92.5
hope this helps!
pls help i need answer pls
Answer:
The answer is B.
Step-by-step explanation:
There isn't much to explain.
3/6 people like chocolate ice cream and x/600 where x is the number of people who like chocolate ice cream.
[tex]\frac{3}{6}=\frac{x}{600} \\[/tex]
Cross multiply to solve for x.
6*x = 3*600
6*x = 1800
x = 300
300 people like chocolate ice cream so about half of people like chocolate ice cream compare to 3/6 the same.
I’ve worked out that the 1st term is -5 but can’t work out the rest. I thought it was -77 but it’s wrong
Answer:
-5, 22, 292
Step-by-step explanation:
Subbsittutoin mehtod
(i) n = 1 , 3n - 8
= 3 x 1 - 8
= -5
(ii) n = 10 , 3n - 8
= 3 x 10 - 8
=22
(iii) n = 100 , 3n - 8
= 3 x 100 - 8
= 300 - 8
= 292
Please answer this I’m struggling rn :(
Answer:
The answer is on a picture⊙﹏⊙Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧What is the length of side PQ in this figure?
Answer:
[tex]\sqrt{52[/tex]
Step-by-step explanation:
hope it helps! im not completely sure but its the best answer!
A bus travels two different routes: the Green Route and the Blue Route.
•On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?
Answer:4.5
Step-by-step explanation: Check the file for my explanation
Solve the inequality.
7x ≥ –7
A.x ≤ –1
B.x ≥ 14
C.x ≥ –1
D.x > –14
25 76
Step-by-step explanation:
Answer: C ( x ≥ -1 )
Step-by-step explanation:
10m^2n+30mn^2+5mn
factor the polynomial
[tex] \: [/tex]
Explanation :
So, here we are to factor the polynomial :
[tex]\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\[/tex]
[tex] \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionAnswer:
[tex]\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}[/tex]
Step-by-step explanation:
[tex]10m ^ { 2n } +30mn ^ { 2 } +5mn[/tex]
Factor out the common factor: 5
[tex]=5\left(2m^{2n}+6mn^{2}+mn\right) [/tex]
[tex]=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)[/tex]
=》This expression cannot be further simplified.
___________
Hope it helps ⚜
A $35 item is marked down 25%. What is the new price?
Answer:
$26.25
Step-by-step explanation:
35*.25 is 8.75
35-8.75=$26.25