The approaches to building a multiple linear regression model is option (C) Backward elimination
Here the multiple linear regression model involves taking all of the possible independent variables, and then systematically eliminating insignificant ones until only significant ones remain
We know the independent variable is the variable that does not depends on any other variables
Here the given elimination methods is eliminating insignificant ones until only significant ones remain
In the backward elimination method starts with explanatory variables in the regression model then starts to eliminates the least significant ones will eliminates one by one
Therefore, the suitable approach is backward elimination method
Learn more about multiple linear regression model here
brainly.com/question/29855836
#SPJ4
Barb is three times as old as her twin nieces Allie and Sam. The sum of their three ages is 55. How old is each person now?
Answers: Each twin is 11 years old. Barb is 33 years old
Work Shown:
x = age of each twin
3x = Barb's age
x+x+3x = 5x = total of their ages = 55
5x = 55
x = 55/5
x = 11
Each twin is 11 years old. Barb is 3x = 3*11 = 33 years old.
Check: twin1+twin2+barb = 11+11+33 = 55
The answers are confirmed.
In this regular hexagon, all of the exterior
angles marked r are the same size.
Find the value of r.
Give your answer in degrees (°).
Answer:
60 degrees
Step-by-step explanation:
Cindy’s square garden has a side lengths of x ft. She will plant 5 tulip bulbs per square foot. The function g(x) = 5x2 models the number of bulbs she will plant. How many bulbs will she plant if the garden has a side length of 8 feet?
The function g(x) = 5x²models the number of bulbs she will plant is if the garden has a side length of 8 feet, Cindy will plant 320 tulip bulbs.
What is Function?
A function is a mathematical rule that assigns a unique output value for every input value. In other words, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.
Functions are often denoted using function notation, such as f(x), where "f" is the name of the function and "x" is the input. The output of the function is denoted by f(x), which is read as "f of x" and represents the value of the function at the input value x.
To find the number of bulbs Cindy will plant if the garden has a side length of 8 feet, we need to evaluate the function g(8) = 5(8)²
Using the order of operations, we first need to square the side length, which gives us 8² = 64.
Then, we multiply 64 by 5 to get the total number of bulbs:
g(8) = 5(64) = 320
Therefore, if the garden has a side length of 8 feet, Cindy will plant 320 tulip bulbs.
Learn more about Function click here:
https://brainly.com/question/2284360
#SPJ1
Teboho wants to order a new CD from Germany. He has R250 in his savings account. The CD costs €5. Once he has bought the CD. how much money will he have left in ZAR? If he can order the same CD from Canada for $7, where must he order it from for the best price provided the shipment cost is the same.
Answer: Let's assume the exchange rate between ZAR and EUR is given by E1, and the exchange rate between ZAR and CAD is given by E2.
First, let's calculate the cost of the CD in ZAR:
5 EUR * E1 = 5 * E1 ZAR
Next, let's calculate how much money Teboho will have left after purchasing the CD:
250 ZAR - 5 * E1 ZAR = 245 ZAR - 5 * E1 ZAR
Now, let's calculate the cost of the CD in CAD:
7 CAD * E2 = 7 * E2 ZAR
We need to determine the value of E1 and E2 in order to compare the prices. However, without knowing the current exchange rates, we cannot determine the best option for Teboho. If the exchange rate between ZAR and EUR is favorable and the cost of the CD in ZAR is lower than the cost of the CD in CAD, Teboho should order the CD from Germany. On the other hand, if the exchange rate between ZAR and CAD is favorable and the cost of the CD in CAD is lower than the cost of the CD in EUR, Teboho should order the CD from Canada.
Step-by-step explanation:
9. Si a=1/2, b=1/3, entonces
a) 1/2
b) 6/5
a+b
es igual a:
c) 1/6
d) 6
Answer:
5/6 (No option is suitable)
Step-by-step explanation:
Given information,
→ a = 1/2
→ b = 1/3
We have to find,
→ a + b
Let's solve the problem,
→ (1/2) + (1/3)
→ (3/6) + (2/6)
→ (3 + 2)/6
→ 5/6
Hence, the answer is 5/6.
Line p passes through points (-2, 5) and (3, 8). Line q passes through the points (-1, 4) and (4, 7). Which statements are true?
The equation of line p is y = (3/4)x + 13/2.
The equation of line q is y = (3/5)x + 23/5.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Line p passes through points (-2, 5) and (3, 8).
This means,
Slope = (8 - 5) / (3 + 2) = 3/4
m = 3/4
And,
Consider (-2, 5) = (x, y)
5 = (3/4) x -2 + c
5 = -3/2 + c
c = 5 + 3/2
c = 13/2
So,
y = (3/4)x + 13/2
Line q passes through the points (-1, 4) and (4, 7).
Slope = (7 - 4) / (4 + 1) = 3/5
m = 3/5
And,
Consider (-1, 4) = (x, y)
4 = (3/5) x (-1) + c
4 = -3/5 + c
c = 4 + 3/5
c = 23/5
So,
y = (3/5)x + 23/5
Thus,
The equation of line p is y = (3/4)x + 13/2.
The equation of line q is y = (3/5)x + 23/5.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ9
The complete question:
Find the equation of the Line p passes that passes through points (-2, 5) and (3, 8) and Line q that passes through points (-1, 4) and (4, 7).
a tabular summary of a set of data showing the fraction of the total number of items in several classes is a group of answer choices cumulative relative frequency distribution. frequency distribution. relative frequency distribution. cumulative frequency distribution.
The cumulative relative frequency distribution is a useful tool for summarizing data and making comparisons between classes. It can also be used to make predictions about future data values.
A cumulative relative frequency distribution is a table that shows the cumulative relative frequency of a set of data. A cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set. For example, if the first three entries in a data set are 20, 30, and 10, the cumulative relative frequency of the first entry would be 0.2, the cumulative relative frequency of the second entry would be 0.5, and the cumulative relative frequency of the third entry would be 1.0.
In a cumulative relative frequency distribution, the data is organized into classes, and each class has a relative frequency associated with it. The relative frequency is the fraction of the total number of items in the class compared to the total number of items in the data set. The cumulative relative frequency is the sum of the relative frequencies of all the classes up to that point.
For example, if there are five classes in a data set, the cumulative relative frequency of the first class would be the relative frequency of the first class. The cumulative relative frequency of the second class would be the sum of the relative frequencies of the first and second classes, and so on.
Learn more about cumulative here:
https://brainly.com/question/28987460
#SPJ4
I need help fast with this question
The value of the given function for x=122 is 5 and x=-346 is -7.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)= ∛(x+3).
To find f(122):
Substitute x=122 in the given function, we get
f(122)=∛(122+3)
= ∛125
= ∛5³
= 5
To find f(-346):
Substitute x=-346 in the given function, we get
f(122)=∛(-346+3)
= ∛-343
= ∛(-7)³
= -7
Therefore, the value of the function for x=122 is 5.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
FIFTEEN 15 POINTS! pls help with functions :)
Answer:
A
Step-by-step explanation:
If you look at the graph it starts at 30 and the next time it lines up on the lines is 3 up and 2 over. Therefore it is 3/2x+30
Andy pays £12. 30 for 6 sketch pad. Jo pays £10 for 2 sketch pads and 1 book. What is the cost of the book?
After solving the expression from the given data we get that the cost of the book is £5.90.
Let's assume the cost of the book is "b" in pounds. From the information given, we can set up the following system of equations:
6x = 12.30 (Andy pays £12.30 for 6 sketch pads)
2x + b = 10 (Jo pays £10 for 2 sketch pads and 1 book). where x is the cost of one sketch pad in pounds. Solving the first equation for x, we get: x = 12.30/6 = 2.05
Substituting this value of x into the second equation, we get: 2(2.05) + b = 10
Simplifying this equation, we get: 4.10 + b = 10
Solving for b, we get: b = 5.90
Therefore, the cost of the book is £5.90.
To learn more about equation click here
brainly.com/question/22277991
#SPJ4
The actual temperature of Noah's oven is 325 degrees, but his oven thermometer is reading 340 degrees. What is the percent error?
Answer:
it has an error of 15 more then the actual temperature
Step-by-step explanation:
to find the change all you have to do is just subtract 340 -325 that is 15 so if the oven was 100 it would show 115
$500 is deposited into a savings account that pays 7% interest compounded annually. Find the amount of money in the account after 2 years
The amount of money in the account after 2 years is $573.04.
What is compound interest?
Compound interest is the interest earned on an initial principal deposit as well as on the accumulated interest from previous periods. In other words, it is interest on interest.
To calculate the amount of money in the account after 2 years, we can use the formula for compound interest:
A = P(1 + r/n)ⁿᵗ
where A is the final amount, P is the principal amount (the initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time period (in years).
In this case, P = $500, r = 0.07 (7%), n = 1 (compounded annually), and t = 2.
Plugging these values into the formula, we get:
A = 500(1 + 0.07/1[tex])^{(1 \times 2)}[/tex]
A = 500(1.07)²
A = $573.04
Therefore, the amount of money in the account after 2 years is $573.04.
To learn more about compound interest, visit:
https://brainly.com/question/28020457
#SPJ1
Solve and graph 11x+6<9x+10
“The product of r and s is more than 4”
Answer: rs>4
Step-by-step explanation: The product of r and s just means rs. Then, when it says more than, you know its going to be a greater than sign: >. So your inequality would be rs>4
Andy bought cupcakes for his sister's birthday party. 75% of the 16 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Solve for x questions in picture
Answer:
x = 62
Step-by-step explanation:
2x ÷ 2 = 124 ÷ 2
x = 124 ÷ 2 = 62
A pole that is 3.5 tall casts a shadow that is 1.77 long. At the same time, a nearby building casts a shadow that is 43.5 long. How tall is the building? Round your answer to the nearest meter.
The height of the building is approximately 79.22 meters, rounded to the nearest meter.
To calculate the angle of elevation, we use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.
We know that the pole is 3.5 meters tall, and its shadow is 1.77 meters long. We can use this information to calculate the angle of elevation of the sun's rays, which is the angle formed between the horizontal line and the line of sight from the top of the pole to the sun.
In this case, the opposite side is the height of the pole (3.5 meters), and the adjacent side is the length of the shadow (1.77 meters). Therefore, we have:
tan(angle of elevation) = opposite/adjacent = 3.5/1.77
Using a calculator, we can find that the angle of elevation is approximately 63.24 degrees.
Now, we can use this angle to find out the height of the building. We know that the shadow of the building is 43.5 meters long, and we want to find its height, which is the opposite side of the right triangle formed by the angle of elevation and the length of the shadow. Therefore, we have:
tan(63.24 degrees) = opposite/43.5
Solving for the opposite, we get:
opposite = 43.5 * tan(63.24 degrees) = 79.22 meters
To know more about angle of elevation here.
https://brainly.com/question/21137209
#SPJ4
Evaluate:
1\tfrac{8}{9} \div \frac{1}{3}
1
9
8
÷
3
1
\text{State your answer as a mixed number in simplest form.}
State your answer as a mixed number in simplest form.
Answer:ez
Step-by-step explanation: blah blah blah blah
how to interperet ratios into values?
solve:
3/4 : 1/2
what is the value?
The value of the given ratio 3/4 : 1/2 is 3/2.
How to interperet ratios into values?To get the value of a ratio, we just need to take the quotient between the first and second values.
For example, the value of a:b is a/b.
In this case we have the ratio:
3/4 : 1/2
Taking the quotient we will get:
(3/4)÷(1/2) = (3/4)*(2/1) = 6/4
= 3/2
That is the value of the ratio.
Learn more about ratios at:
https://brainly.com/question/2328454
#SPJ1
Noelle collects autographs of famous mathematicians. Exactly one statement below is true: • Noelle owns at least 77 autographs. • Noelle owns at least 62 autographs. • Noelle owns at least 45 autographs. What is the greatest number of autographs Noelle can own?
The greatest number of autographs that Noelle can own is given as follows:
61 autographs.
How to obtain the greatest number of autographs that Noelle can own?The greatest number of of autographs that Noelle can own is 61 autographs, as we would have that:
Noelle owns at least 45 autographs would be a true statement.Noelle owns at least 62 autographs would be a false statement.Noelle owns at least 77 autographs would be a false statement.Owning 62 autographs, the first two statements would be true, which is not possible, as exactly one of the statements is true.
More can be learned about inequalities at https://brainly.com/question/9774970
#SPJ1
For each ordered pair, determine whether it is a solution to the system of equations. -18x+2y=8 and y=9x+4
For the given system of equations, no solution is possible.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
The system of equations,
-18x + 2y = 8 {equation 1}
y = 9x + 4 {equation 2}
Substitute the value of y from equation 2 to equation 1,
we get,
-18x + 18x + 8 = 8
0 = 0
That means, the lines of the equation are parallel to each other.
Therefore, no solution is possible for the system.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ1
Explain how you would find the value of x.
Find the value of x.
3x + 1
2x
4x+7
5x-4
x+1
3x-5
Help me with this question, I don't know how to solve
The simplified value is [tex]\frac{7a^{8}+12 }{21a^{5}}[/tex].
What is a mathematical expression?
A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is [tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}[/tex].
This can be simplified by cross-multiplying and adding.
[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{5}*a^{3}+4*3}{3*7a^{5}} \\=\frac{7a^{8}+12}{21a^{5}}[/tex].
Therefore the simplified value of the given expression is :
[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{8}+12 }{21a^{5}}[/tex]
To learn more about simplifying the expressions, refer to the link below:
https://brainly.com/question/723406
#SPJ1
A meat dish needs to remain at 185°F in order to stay safe to eat. If the dish comes
out of the oven at 425°F and decreases 15°F every five minutes, how long is it safe to eat?
It takes 1 hour, 20 mins for it to be safe to eat.
How to determine this
If a dish needs to remain at 185°F
And come out at 425°F
So, the difference = 425°F - 185°F
=240°F
If it decreases at 15°F for 5 minutes = 240/15
= 16°F for 5 minutes
= 16 * 5
= 80 minutes
And when converted to hour,
1 hour, 20 mins
Read more about Word Problem
https://brainly.com/question/30685679
#SPJ1
Find the exact value of cos∠QPR
What is the answer to this? I'm pretty sure that I need to use law of cosines. I need all work shown and the answer.
Step-by-step explanation:
since you know already that you need the law of cosine (which is nothing else than the generalization of Pythagoras from right-angled triangles to general triangles), why don't you just apply it ?
the law of cosine :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C, a and b are the other 2 sides.
our angle C is here now the angle QPR. the opposite side is QR = 3.
so, we have
3² = 2² + 4² - 2×2×4×cos(QPR) = 4 + 16 - 16×cos(QPR)
9 = 20 - 16×cos(QPR)
-11 = -16×cos(QPR)
cos(QPR) = -11/-16 = 11/16 = 0.6875
FYI : that means
angle QPR = 46.56746344...°
I’m so confused about this problem:
1 5/9 ÷ -1/2
Can anyone help me?
(ToT)
Answer: -3.11111112
Step-by-step explanation:
1 and 5/9 as a decimal is 1.555555556
-1/2 as a decimal is -0.5
1.555555556 divided by -0.5 is -3.11111112
WILL MARK BRAINLIST PLS HELP
Answer:
56.549=56.5
Step-by-step explanation:
A = πr²/2 = 18 * π [in²] ≈ 56.549 [in²]
Geometry!!!!! help me
The value of the unknown side length, BC, in given diagram is 28.3 ft
Similar triangles: Calculating unknown side length in a triangleFrom the question, we are to determine the value of the unknown side length in the given diagram
By similar triangles theorem, we can write that
AX/XY = AB/BC
From the given information,
AX = 12ft
XY = 17 ft
AB = AX + XB
= 12 ft + 8 ft
= 20 ft
BC = ?
Then, we can write that
12/17 = 20/BC
Cross multiply
12 × BC = 17 × 20
12 × BC = 340
BC = 340/12
BC = 28.3
Hence, the value of BC is 28.3 ft
Learn more on Similar triangles here:
https://brainly.com/question/24085502
#SPJ1
Tomas wants to make a line plot of the
distances he rode his bike last week. He
rode the following distances in miles:
3,4 1/2,6, 3, 5 1/2, 3, 5 1/2
Make a line plot for the distances
Tomas rode.
The line plot is attached based on the information given.
What is a line plot?A line plot is a graph that shows data as dots or checkmarks above a number line to indicate how frequently each value occurs. Only numerical, discrete data, not continuous data, is shown using line graphs. Line plots categorize the data by showing how often each value appears on a number line. Small data sets make these graphs easy to make, and the revealed frequency patterns allow for interpretation.
Each mark on the line plot represents one of the distances Tomas rode. The number on the horizontal axis represents the day of the week and the vertical axis represents the distance in miles. The line plot shows that on most days, Tomas rode between 3 and 5 1/2 miles.
Learn more about line plot on:
https://brainly.com/question/21169288
#SPJ1
Find each percent change. Use a calculator and round answer to the nearest tenth as needed. State if it is an increase or decrease. 88 to 20.
A.22.7% decrease
B.14.2% decrease
C.77.3% decrease
D.340% decrease
well, if a value goes from 88 to 20, it clearly decreased, hmmm 88 - 20 = 68, by 68 units.
so if we take 88(origin amount) to be the 100%, what's 68 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 88 & 100\\ 68& x \end{array} \implies \cfrac{88}{68}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 22 }{ 17 } ~~=~~ \cfrac{ 100 }{ x }\implies 22x=1700\implies x=\cfrac{1700}{22}\implies x\approx 77.3[/tex]
