The sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees
What is a regression model?A regression model is used to determine the association and correlation between two variables
Using a graphing calculator, the sine regression model of the dataset is:
[tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex]
To calculate y(30), we substitute 30 for x in the equation.
So, we have:
[tex]y =20.077 \sin(0.500 * 30- 1.959) + 67.577[/tex]
Evaluate the product
[tex]y =20.077 \sin(15- 1.959) + 67.577[/tex]
Evaluate the difference
[tex]y =20.077 \sin(13.041) + 67.577[/tex]
Evaluate the sine value
[tex]y =20.077 *0.4570+ 67.577[/tex]
Evaluate the product
[tex]y =9.1752+ 67.577[/tex]
Evaluate the sum
[tex]y =76.7522[/tex]
Approximate
[tex]y \approx 76.8[/tex]
Hence, the sine regression model is [tex]y =20.077 \sin(0.500x- 1.959) + 67.577[/tex], and the value of y(30) is 76.8 degrees
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Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
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Pleasseee I’ll give BRAINLIEST
Answer:
It’s the third option
Step-by-step explanation:
Cuz 4^2 - 2^2 equals the third option
uhh I don't really understand this problem, so I would like to know how to do it
Answer:
( C ) 428.1 ft²
Step-by-step explanation:
Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.
Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.
10 · 12 = 120
120 · 2 = 240
The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.
Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.
4.5 · 8.9 = 40.05
Multiply this by two for the area of both sides.
40.05 · 2 = 80.1
The area of the triangle sides is 80.1 ft².
The last side is also a rectangle, with the dimensions 9×12.
9 · 12 = 108
The bottom side has an area of 108 ft².
Now, we can add the areas together.
240 + 80.1 + 108 = 428.1
The surface area of the shape is 428.1 ft². The answer is C.
I hope this helps ^^
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what two numbers is the square root of 23 between?
Answer:
23 lies between. 16 and 25
A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answer:
that is$ 160 ok alright jf
I need help please help me!
(06.01)
Which point on the scatter plot is an outlier? (4 points)
A scatter plot is shown. Point I is located at 2 and 1, Point K is located at 2 and 5, Point J is located at 7 and 4, Point H is located at 8 and 1. Additional points are located at 1 and 7, 4 and 5, 4 and 6, 5 and 3, 7 and 2.
Group of answer choices
Point H
Point I
Point J
Point K
Answer:
k
Step-by-step explanation:
don't know
Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.
Answer: 10 visit
Step-by-step explanation:
Given
45 Points earned by signing up
11.5 points earned for each visit to the theatre
160 points are needed for a movie ticket
Suppose, after x visit he gets enough points to buy a movie ticket
[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]
So, after 10th visit, he earns a movie ticket
Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.
His rent, electricity and labor costs for his store each week is $1850.00.
He sells each cupcake for $5.50.
What is the minimum number of cupcakes needed to make a profit?
337
359
360
5286
Answer:
360
Step-by-step explanation:
Which of the following is always true about lines of symmetry?
A line of symmetry divides a shape into two equal parts.
A line of symmetry is a vertical line through the middle of a figure.
A figure can have only one line of symmetry.
A line of symmetry goes through opposite vertices of a figure.
The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
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Fill in the missing operator where the blank is.
18 _ (-20)= -2
Answer:
26
Step-by-step explanation:
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this is the third time and i a really annoyed as i am having my time wasted and points
plz help me
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.
Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
which equation has solutions of -2 and 3?
A. y= x^2+x-6
B. y= x^2-x-6
C. y=x^2 +5x+6
D. y=x^2-5x+6
Answer:
b. y= x^2-x-6
Step-by-step explanation:
i hope this helps :)
pls help? :( brainliest if correct
Which two figures have the same number of bases?
A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder
Answer:
Option C is the Correct Answer
What is the smallest perfect square
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
36 + (12 - 8) + 2 × 5
Answer:
50
Step-by-step explanation:
To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.
36 + (12 - 8) + 2 × 5
36 + 4 + 2 x 5
36 + 4 + 10
40 + 10
50
Answer:
[tex]50[/tex]
Step-by-step explanation:
Follow the PEMDAS order of operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction.
Calculate the Parentheses- (12-8)
This will equal 4.
[tex]36+4+2x5[/tex]
(x= times)
Multiply and divide, left to right.
[tex]2x5=10[/tex]
[tex]36+4+10=50[/tex]
HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.
Son el B el C y el E
What two numbers multiply to get 3 and add to get 6
Answer:
3
Step-by-step explanation:
Express in y=mx+b
3x-2y=8
CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT
Answer:
(2, 8) and (3, 11) --- > For example
Step-by-step explanation:
Plug in any number for x
I will use 2.
So if the equation is y = 3x + 2, then the new equation will be ...
y = 3(2) + 2
y = 6 + 2
y = 8 ----> One coordinate can be (2, 8)
Another number you could use is 3.
y = 3(3) + 2
y = 9 + 2
y = 11 ----> Another coordinate may be (3, 11)
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?
Answer:
They donated 6%.
Step-by-step explanation:
The total sales were $9800.
The amount donated is $588.
We want to know what percent of 9800 is 588.
Let's make an equation.
what percent of 9800 is 588
x/100 • 9800 = 588
Divide by 9800.
x/100 = 0.06
Multiply by 100.
x = 6
They donated 6%.
Hope this helps!
how do you write length is twice the width as an expression.
Answer:
width=x
length =2x.....
Answer:
l = 2w
Step-by-step explanation:
note:
l = lenght
w = width
so lenght is 2 times width is -
l = 2w
Help I need the answer ASAP
2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)
Answer:
I believe one flash drive would cost $16.50.
Step-by-step explanation:
55=2x+22
-22 -22
33=2x
/2 /2
16.50=x
Hope this helps! Have an Amazing day!!
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4W = 25
Step-by-step explanation:
The hanger is balanced, so each side must have the same quantity.
There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.
Answer:
We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:
We can form the equation:
4w = 25
w = 6.25
If u need anymore help understanding let me know :)
hope this helps :0
Step-by-step explanation:
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
Step-by-step explanation:
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
The question is in the png
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
You start at (1,-5). You move left 5 units. Where do you end?
Answer:
QUESTION:
You start at (1,-5). You move left 5 units. Where do you end?
ANSWER:
You end at (-4,-5)
Step-by-step explanation:
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