Answer:
The answer is C
You just finished paying your car off and you noticed that you paid a total of $6,900 in
Interest for 6 years and at a Interest rate of 5%. Knowing all this what was the original
amount you borrowed? (be sure to include cents. Example if you got $34 dollars as an
answer you need to type in $34.00)
Answer: $23000
Step-by-step explanation:
The formula for interest will be:
Interest = Principal × Rate × Time
We'll then slot in the values given and this will be:
6900 = Principal × 5% × 6
6900 = Principal × 0.05 × 6
6900 = Principal × 0.3
Principal = 6900/0.3
Principal = 23000
The amount borrowed is $23000
Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21
Answer:
The answer is B
Step-by-step explanation:
4y-3y+7y²+5+16-2y
7y²+4y-3y-2y+5+16
7y²-y+21
An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:
x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31
Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)
Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:
Answer:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
Step-by-step explanation:
Given
[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]
[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]
[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]
Required
Use R code to determine the regression equation
[tex]y = b_o + b_1x_1 + b_2x_2[/tex]
First, write the following code in a R program
[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]
[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]
[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]
[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]
[tex]summary(mod)[/tex]
Next, run the program
See attachment for program and output
From the output, go to coefficients:
Check Estimate Std. column, you have the following:
[tex](Intercept) = 415.113[/tex]
[tex]x_1 = -6.593[/tex]
[tex]x_2 = -4.504[/tex]
[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:
[tex]b_o \to[/tex] Intercept
[tex]b_1 \to x_1[/tex]
[tex]b_2 \to x_2[/tex]
Hence, the least square regression equation is:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answer:
Area = 13.0900 ft²
Step-by-step explanation:
Area of sector = θ/360 × πr²
We are assuming it's the area of the minor sector that we are asked to find.
Therefore,
θ = 360 - 300 = 60°
r = 5 ft
Plug in the values
Area of minor sector = 60/360 × π × 5²
Area = 13.0899694
Area = 13.0900 ft² (to 4 decimal places)
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B
if the variance of the data values in a sample is 361, what is the standard deviation of the data values
If the variance of the data values in a sample is 361, Then the standard deviation will be 19.
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Here the relationship between the standard deviation and the variance is given as:-
[tex]\sigma[/tex]² = Variance
[tex]\sigma[/tex] = √ Variance
[tex]\sigma[/tex] = √361 = 19
Hence the variance of the data values in a sample is 361, Then the standard deviation will be 19.
To know more about standard deviation follow
https://brainly.com/question/475676
#SPJ1
What expreassion is equivalent to 5(d+1)
Answer:
2(5)
Step-by-step explanation:
Answer:
I think it’s 5b+5
Step-by-step explanation:
All ways multiple the outside number with whatever is in the parentheses.
what is the mean absolute deviation of the following data set 3, 13, 11, 5
Answer:
4
Step-by-step explanation:
Add up your data. 3+13+11+5=32Divide the sum by the number of data you have. In your case you would divide 32/4/This will give you 8, which is your mean. Now, subtract 8 from each value and put the difference to its absolute value.Now, add up each of these values (5+5+3+3=16), then divide by 4. This will give you an answer of 4.Hope this helps! Have a great day :)
Can you please help me
Answer:
is there amultipe choice answer if so list them down
Step-by-step explanation:
Find the difference: -9 - (-6) =
Answer:
Hello! Mizuki here to help!
-3 would be the correct answer!!!
Step-by-step explanation:
-9 - (-6) =
-9 + 6 =
-3
Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers
Answer:
b. R-square must be greater than 1.0
Step-by-step explanation:
For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.
Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.
The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.
Which ordered pair is the solution to the system of equations below when
using the matrix tool?
9x - 3y = 54
9x +1 ly = 12
Answer:
(7, -3)
Step-by-step explanation:
9x - 3y = 54
9x +1 ly = 12
Subtract both expresion
-3y - 11y = 54 - 12
-14y = 42
y = 42/-14
y = -3
Substitute y = -3 into 1;
From 1, 9x - 3y = 54
9x - 3(-3) = 54
9x - 9 = 54
9x = 54 + 9
9x = 63
x = 63/9
x = 7
Hence the solution to the system of equation is (7, -3)
Select all the statments that are true
A sandwich shop prices its party subs at $17.50 per foot, with a $23 flat fee for assembly. Write a function rule describing how the price of a party sub (p) depends on the sub's length in feet.
What is the price of a party sub that is 8 feet long?
Answer:
Step-by-step explanation:
sheesh
Answer:
f(x)=17.50p+25 The price for and 8 ft sub is $165
Step-by-step explanation
find the area of the shaded figure
Answer:
I need degrees and numbers to figure out the answers
Find the value of x. NO LINKS!!!
9514 1404 393
Answer:
z° = 44°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
44° +52° +z° +40° = 180°
z° = 44° . . . . . . . . . . . . . . . . subtract 136° from both sides
The value of z is 44.
_____
There is no "x".
Now we have to,
→ find the required value of z.
The equation is,
→ A + B + C = 180°
Let's solve for the value of z,
→ A + B + C = 180°
→ (52 + z) + 44 + 40 = 180
→ 136 + z = 180
→ z = 180 - 136
→ [ z = 44° ]
Hence, the value of z is 44°.
If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Solve this equation by Euclid's application of areas: x^2 + 12x = 64.
Answer:
4
Step-by-step explanation:
properties of properties
if angle x=55% and angle y=35, calculate the following 1.cos(x+y)
Answer:
cos(X+Y) = cos(55+35) = cos(90) = 0
Step-by-step explanation:
cos(X+Y) = cosXcosY - sinXsinY
cos(55+35) = cos(55)cos(35) - sin(55)sin(35)
cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)
cos(55+35) = cos(55)cos(35) - cos(35)cos(55)
cos(55+35) = 0
cos(90) = 0
the first box is divide/ multiply the second is height/base and the third is divide/multiply the fourth is the base/ 2 / the area
2 part of the question with answer choices C AND D!!!!
NEED HELP ASAP!!!!
**Will mark BRAINLIEST on both questions**
pls help!!
This is the same question I am just going to write it again.
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5
**THESE pictures ARE ANSWER CHOICES C & D**
Answer:
Plug it into geogebra. The answer should be c.
Step-by-step explanation:
Answer:
the solution/ where they intersect is (1,6) so it is neither
Step-by-step explanation:
I need help asap:
Seventh-grade students at two different schools took the same math test at the end of the school year. Their results are shown below.
The school counselors are planning the numbers of different math classes for these students when they enter eighth grade. Which statement best describes the plan they should follow, based on the information shown?
A
School 1 should have a greater variety of math classes, since the interquartile range is much smaller than at school 2.
B
School 2 should have a greater variety of math classes, since the median is higher than at school 1.
C
School 2 should have a greater variety of math classes, since the interquartile range is much greater than at school 1.
D
School 1 should have a greater variety of math classes, since the median is lower than at school 2
Answer:
its C
Step-by-step explanation:
School 1 IQR = 10
School 2 IQR = 20
Both have a median of 80
School 2
First Quartile:
70
Third Quartile:
90
School 1
First Quartile:
75
Third Quartile:
85
Please Brainiest!
can anyone please help me and also we have to use laws of exponentS
Answer:
([tex]4^{4}[/tex])^-1
Step-by-step explanation:
Please help!!! I’m very desperate I’ll give brainliest!!
Answer:
question 22 ) 3.325
Step-by-step explanation:
I use the app photo math. Its free and shows you all the steps.
What is the domain of the function shown in the graph below?
Answer:
Nasa picture po yung answer
A line is parallel to y=3x-2 and intersects the point (3,5)
Answer:
The answer is 5 I'm still trying to figure out this answer out right now
Step-by-step explanation:
btw i have acellus too
1) Population mean
2 +3+6+8+11
Answer:
30..? sorry im not quite sure what youre asking
Answer:
Average population
Step-by-step explanation:
Add all together and divide by number of scores.
30 divded by 5=6
So the population mean = 6
which expression has a value equal to 28 divided by 4
Answer:
28/4
7
56/8
14/2
63/9
70/7
√49
∛343
If arc FBE is 300°, what is the measure of angle 4?
Answer:
30 degrees
Step-by-step explanation: