Answer:
0.0462 ± 2.131(0.01565)
Step-by-step explanation:
The confidence interval for the slope, :
Slope Coefficient = 0.0462
Slope Coefficient ± Margin of error
Margin of Error = Tcritical * standard error
Standard Error (rotation) = 0.01565
We use T distribution, because sample size is small ; n = 16
Tcritical at 95% ; df = n - 1 = 16 - 1 = 15
Tcritical(0.05, 15) = 2.131
Hence,
Margin of Error = 2.131(0.01565)
Slope Coefficient for rotation = 0.0462
95% Confidence interval :
0.0462 ± 2.131(0.01565)
The 95% confidence interval for the slope of the regression line is 0.0462 ± 0.0333 or (0.01284, 0.07955)
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
Slope coefficient = 0.0462
Slope coefficient ± Margin of error
The margin of error will be given as
[tex]\rm Margin \ of \ error = T_{critical} \times standard \ error[/tex]
Standard error = 0.01565
We use T distribution because the sample size is small
[tex]\rm n = 16 \\\\T_{critical} \ at \ 95\% \ ; df = n-1 = 16- 1 = 15\\\\T_{critical} \ (0.05, 15) = 2.131[/tex]
Then we have
Margin of error = 2.131 × 0.01565
Margin of error = 0.0333
Then the 95% confidence interval will be
0.0462 ± 0.0333
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Please!! What is the slope of each line?
Are they the same or different?
Given:
The graph of two lines.
To find:
The slope of each line and check whether they are same or different.
Solution:
If a line passes through two points, then the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph 1, it is clear that the line passes through the points (2,175) and (3,165). So, the slope of first line is:
[tex]m_1=\dfrac{175-165}{3-2}[/tex]
[tex]m_1=\dfrac{10}{1}[/tex]
[tex]m_1=10[/tex]
The slope of first line is 10.
From the graph 2, it is clear that the line passes through the points (1,175) and (2,165). So, the slope of first line is:
[tex]m_2=\dfrac{175-165}{2-1}[/tex]
[tex]m_2=\dfrac{10}{1}[/tex]
[tex]m_2=10[/tex]
The slope of second line is 10.
[tex]m_1=m_2[/tex]
Therefore, the slopes of both lines are same, i.e. 10.
$34,100 at 4% for 3 years
Simple interest
The 3 year simple interest at 4% will be $38,192.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
The principal amount = $34,100
Interest rate = 4%
Time = 3 years Now,
Since, We know that;
Where, A is final amount.
P is principal amount.
r is interest rate.
t is time.
Substitute all the values, we get;
A = $34,100 (1 + 4/100)³
A = $34,000 (104/100)³
A = $34,000 × 104/100 × 104/100 × 104/100
A = $38,192
Thus, The Simple interest will be $38,192.
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What is 2/3 written as a decimal
Answer:
2.3
Step-by-step explanation:
Answer:
66.66 repeating, or 66.7
Step-by-step explanation:
3rds only go to 99 if your looking for fractions, and to get from 3-99, you would multiply the fraction times 33.3 repeating. to keep the fraction even, you would also multiply the numerator (top number) by 33.3 repeating, getting 66.66 repeating
r + (-4) = 7 solve for r
Answer:
11
Step-by-step explanation:
Add 4 to both sides to get rid of -4 or if you want think of it as moving -4 to the other side and turning it into positive if its negative and negative if its positive
r=11
please help will get brilent
Coach Soto bought a house at $350,000 that increases in value at a rate of 12%. Coach Torres bought a house at $275,000 and increased at a rate of 17%. Both coaches sold their house after 5 years, who made a higher profit?
Answer:
coach soto
Step-by-step explanation:
first figure out the profit, 350000 times 12% to get 42000. then multily 42000 by 5 wich is 210000 then add that to 350000 wich is 560000. then 275000 times 17% which is 46750 times 5, 233750 add that to 275000 which is 508750. so coach soto had a greater profit
-11 2/3 x (-4 1/5) =?
Solve.
Answer:
[tex]44 \frac{2}{15} [/tex]
A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
Any help would be appreciated
I think the answer is 5.
Sorry if it's wrong.
Answer:
5
Step-by-step explanation:
This question is based on vector
By applying its formula
AC = AB + BC
we were given AC as 14 and BC as 9 so let find AB
AC = AB + BC
14 = AB + 9
AB = 14 – 9
AB = 5
i hope this helped
For the simple harmonic motion equation d=2 sin(pi/3 t), what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answer:
The frequency is f = 1/T = 1/2 Hz.
Step-by-step explanation:
The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.
Answer:1/6
Step-by-step explanation:
18.
M is the midpoint of WX and
YZ. Is YW = ZX? Why?
W
M
Fill in the blank. In the triangle below, y=__________. Round your answer to two
decimal places.
ZD
y
Answer here
42°
35
Find the product. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar. 4/3*5/3
The solution to the product expression 4/3 * 5/3 is 20/9
How to evaluate the product expression?From the question, we have the following parameters that can be used in our computation:
The product 4/3*5/3
To start with, we need to represent the statement as an expression
So, we have the following representation
4/3 * 5/3
Using a calculator, we multiply the numerator
So, we have the following representation
4/3 * 5/3 = 20/3 * 1/3
Using a calculator, we multiply the denominator
So, we have the following representation
4/3 * 5/3 = 20/9
Hence, the solution is 20/9
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Need help
Kinda forget everything
Answer:
Option E
Step-by-step explanation:
GIVEN :-
β ≠ 3γTO FIND :-
Value of xSOLTION :-
[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]
Take 'x' common from L.H.S.
⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]
Substract the terms in the brackets
⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]
Now , take the whole term in brackets to R.H.S.
⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]
CONCLUSION :-
∴ [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)
2. Avea checked out 18 books
from the library. Half of them
are nonfiction. How many
nonfiction books did she check
out?
Answer: she checked out 9 nonfiction books
Step-by-step explanation:
18-9=9
How do you know how to set up a equation?
Answer:
Basic Steps to Setting Up Equations
-Determine what the question is asking.
-Write down the relevant information in simple statements.
-Assign symbols to unknown values that need to be found.
-Determine how the statements relate to each other mathematically.
Solving Story Problems
Story problems can contain lots of information, including details that are not necessary to solve the problem. Additionally, the problem may assume general knowledge on the reader's part, and not explain all the information explicitly. Writing that information down in a streamlined form is an efficient way to solve problems.
Step-by-step explanation:
Which linear inequality is represented by the graph?
Answer:
you mama
Step-by-step explanation:
you gay
1 + 2 + 4 + 8..., n= 7
evaluate the geometric series
Answer:
The ratio is 2
Step-by-step explanation:
The last value should be 64.
1 * 2 = 2
2 * 2 = 4
4 * 2 = 8
8 * 2 = 16
16 * 2 = 32
32 * 2 = 64
PLZ HELPPPPPPPP
When y=4x-6 find y if x=o
Shawna needs to buy some pencils and an eraser. She can spend no more than $8. The eraser costs $1 and the pencils cost $0.25 each. Write an inequality to to find x, the number of pencils Shawna buys.
A) .25x + 1 ≤ 8
B) .25x + 1 < 8
C) .25x + 1 ≥ 8
D) .25x + 1 > 8
Reasoning Freezer A has interior dimensions 21x21x4 it and sells for $349.99. Freezer B has
interior dimensions 2.5 1x2.5 ftx3 it and sells for $449.99. Which freezer is a better buy in terms
of dollars per cubic foot? Use pencil and paper. Show your work and explain your reasoning
Which freezer is the bemer buy?
Freezer A
Preezers
Answer:
A
Step-by-step explanation:
What is the difference between 28%and 18%of 4900
Answer:
Step-by-step explanation:
Alana and Petra go to a used book sale , where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
Answer:
$2
Step-by-step explanation:
Express the polynomial as a product of linear factors.
f(x) = 2x3+ 4x2 – 2x - 4
Answer:
A. 2(x+2)(x+1)(x-1)
Step-by-step explanation:
^polynomial as a product of linear functions
Tyler is 30 years younger than Naeste 9years ago
Answer:
i dont understand this question but i think maybe 21
Step-by-step explanation:
30-9 =21
Answer:
21
Step-by-step explanation:
Find the surface area of the sphere.
Formulas for Spheres
S.A. = 4
V = for S.A. = [?] cm2
Round to the nearest tenth.
PLEASE HELP !
links will be reported.
Answer:
201.1 cm ^2 ( in
acellus )
Step-by-step explanation:
The surface area the sphere is 64π cm².
SphereA sphere is a three-dimensional equivalent of a two-dimensional circle. A sphere is a collection of points in three-dimensional space that are all the same distance r from a particular point. hat given point is the center of the sphere, and r is the sphere's radius
Surface area: 4πr²
How to determine the surface area of the sphere?Given the radius of the sphere is 4 cm.
then apply the formula
surface area = 4π(4)²
= 4π(16)
= 64π cm²
Hence the surface area is 64π cm².
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learning task 2: pls help
Answer:
96=2(2x+x)24=3x[tex] \frac{2}{3} x = 72[/tex]x+(x+1)=294(x+8)=54What should be done first to evaluate the expression?
8 × 4 ÷ 3 + 52 - 8
Divide 4 by 3
Square 5
Add 3 and 5
Multiply 8 and 4
Answer:
From PEMDAS
P-- Parethesis
E--- Exponents
M--- Multiplication
D--- Division
A--- Addition
S---- Subtraction
Exponent should be done before the other operations.
so
5² =25
Answer:
Square 5.
Step-by-step explanation:
[tex]8*4/3+5^2-8[/tex]
Step 1: Define.
Whenever you solve problems with multiple operations, remember this:
PEMDAS:
Parenthesis
Exponential equations (exponents)
Multiplication/division
Addition/subtraction
PEMDAS is the order in which you should solve multiple operational equations.
Step 2: Conclude.
Therefore, the first step in order to evaluate this expression is square 5. (Any number to the 2nd power is called 'squared.')
Solve the equation for x, and enter your answer in the box below.
-14x= -98
Answer:
x=7
hope this helps
have a good day :)
Step-by-step explanation:
if α and β are the zero of polynomial p(x) = 3x^2 +2x + 1, find the polynomial whose zeroes are 1-α /1+α and 1-β/1+β.
Therefore , the solution of the given problem of function comes out to be 2.
Function DefinitionA function connects various inputs together or produces a single output from each input. Simply explained, a function is a collection of equations that are linked to a single, identifiable output. A statement, rule, or law which explains the connection between two variables is known as a function in mathematics (the dependent variable). When a rule of this type is applied, there is just one output. by photographer Alex Federspiel.
Here,
=> (1−α)(1−β)(1+α)(1+β)
=>(1−α−β+αβ) /(1+α+β=αβ)
=> (1−(α+β)+αβ ) / ( 1+(α+β)+αβ)
=>(1 + 2/3 + 1/3 )/ (1 -2/3 + 1/3)
=> 2 x 3 /2 =3
=> (1−α)(1+β)+(1−β)(1+α) / (1+α+β+αβ)
=> 3(2−2αβ)/2
=>3(1−αβ)
=>3(1− 1/3 )
=>2
Therefore , the solution of the given problem of function comes out to be 2.
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Can someone help me :( 6th grade tbanks