The linear regression equation is y = 0.50x - 0.36
How to determine the linear regression equation?The proper format of the table of values is:
Number of tv commercials, x: 13 6 12 14 17
Car sales, y (in hundreds): 3 2 8 9 7
Next, we determine the linear regression equation using a graphing calculator.
From the graphing calculator, we have the following summary:
Sum of X = 62Sum of Y = 29Mean X = 12.4Mean Y = 5.8Sum of squares (SSX) = 65.2Sum of products (SP) = 32.4The regression equation is the calculated as:
y = bx + a
Where
b = SP/SSX = 32.4/65.2 = 0.49693
a = MY - bMX = 5.8 - (0.5*12.4) = -0.36196
Substitute these values in y = bx + a
y = 0.49693x - 0.36196
Approximate
y = 0.50x - 0.36
Hence, the linear regression equation is y = 0.50x - 0.36
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f(x) = 3x+2
What is f(5)?
Answer:
the answer will be 17.
Step-by-step explanation:
if, f (x) = 3x + 2
f (5) = 3 × 5 + 2 = 17.
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The lowest point in the United States is the Sierra Nevada in California. Its altitude is 300 feet below the sea level. Identify the absolute value of the point. (Sierra Nevada).
Answer:
300 feet
Step-by-step explanation:
The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.
In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.
Hope this helps!
The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?
The value of the number n as 1.5 * [tex]10^{-18}[/tex].
What is power?
A power is the product of multiplying a number by itself.
(8.4*[tex]10^{9} \\[/tex])/n = (5.6* [tex]10^{27}[/tex])
n= (5.6* [tex]10^{27}[/tex]) / (8.4*[tex]10^{9} \\[/tex])
n= 1.5 * [tex]10^{-18}[/tex]
Hence, the value of n is n= 1.5 * [tex]10^{-18}[/tex]
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Find the measure of x.
Answer:
25.99
Step-by-step explanation:
SOH CAH TOA
(sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent)
For the angle measurement provided (38 degrees), we know the opposite leg value, and we need to find the hypotenuse
the measurement of sin (opposite / hypotenuse) relates these two measurements
we can plug in our known values into sin:
sin = opposite / hypotenuse
sin (38) = 16 / x
(note: sin 38 = 0.61566147532, which we can round to 0.61566)
0.61566 = 16 / x
· x ·x {multiply both sides by x to get rid of fraction}
0.61566(x) = 16
÷ 0.61566 ÷0.61566 {divide both sides by 0.61566 to isolate 1x}
x = 25.9883702043
{round to nearest hundredth}
x = 25.99
so, the measure of x is 25.99 {rounded to the nearest hundredth}
hope this helps!! have a lovely day :)
Answer:
cosx=adjacent/hypotenuse
triangle angle =180-(90+38)
=52°
cos(52°)=16/x
x=16/cos52
x≈23.373
What is the solution to the equation below? (Round your answer to two
decimal places.)
7•Inx=2.4
A. x=99.48
B. x = 18.48
C. x=1.41
D. x= 1.9
Answer:
C
Step-by-step explanation:
7 × ln(x) = 2.4
ln(x) = 2.4/7 = 0.342857143...
x = e^0.342857143... = 1.408967466... ≈ 1.41
Circle O has a circumference of approximately 44 in.
----d
O
Mark this and return
What is the approximate length of the diameter, d?
O 7 in.
O 14 in.
O 22 in.
O
44 in.
Save and Exit
xt
Submit
Fully simplify.
15x(4)y(4)(-5x³y(5))
Step-by-step explanation:
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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
( x/6, y/4 )
( x - 4, y - 6)
(-6 x, -4 y)
( x - 6, y - 4)
T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)
A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.
Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)
and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)
So, the matrix of the transformation is
[tex]\left[\begin{array}{ccc}7&6\\4&5\end{array}\right][/tex]
The inverse of the matrix is
[tex]\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right][/tex]
So, the Inverse Transformation is given by
[tex]T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})[/tex]
So, no option is correct. And the answer is
[tex]T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})[/tex]
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Which table represents a linear function?
Answer:
The table on the far left is a linear function.
Step-by-step explanation:
The table on the far left is the function
[tex]y = \frac{1}{2} x[/tex]
If 3/4 of ojo’s pocket money is €600.00; what is 1/8 of this pocket money?
Answer:
100
Step-by-step explanation:
explanation is shown in the picture
Let's set all the information into equations:
⇒ 3/4 of Ojo's money is €600.00 ⇒ [tex]\frac{3}{4} x = 600[/tex]
(Where x is the total amount of money)
Let's solve the equation:
⇒ to find the total amount of money that Ojo has:
[tex]\frac{3}{4}x=600\\ 3x=2400\\x=800[/tex]
⇒ total money is €800
Original question: what is 1/8 of this pocket money
[tex]\frac{1}{8} *800=100[/tex]
Answer: €100 is 1/8 of his pocket money
Hope that helps!
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\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }
Solve this ...
this is the question of laws of indices(exponent)
Work Shown:
[tex]m = \frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}\\\\m = \frac{6^{n}*6^2-6^{n}}{6^{n}*6^1+6^{n}}\\\\m = \frac{6^{n}*36-6^{n}}{6^{n}*6+6^{n}}\\\\m = \frac{6^{n}(36-1)}{6^{n}(6+1)}\\\\m = \frac{6^{n}(35)}{6^{n}(7)}\\\\m = \frac{35}{7}\\\\m = 5\\\\[/tex]
Therefore,
[tex]\frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}=5\\\\[/tex]
what is the area of the trapezium?
Answer:
156 cm²
Explanation:
This figure is a trapezium.
Formula of Area of Trapezium = 1/2 × (a + b) × height
Here given:
a = 9 cmb = 30 cmh = 8 cm==============
Area of trapezium: 1/2 × (9 + 30) × 8 = 156 cm²
Answer:
area of the trapezium is 156
Step-by-step explanation:
Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over? Which expression solves the problem?
Expressions:
(18/2)/6
(18/2)+6
(18*2)-6
(18*2)+6
Answer: she would have 6 bottles left, (18/2)/6
Step-by-step explanation:
she has 18 bottles, when you divide it by two, she could give two bottles to 9 people. but, she only wants to give it to 6 friends. meaning that she would be left with 3 pairs of bubbles. as in, 6 bottles.
Jej pls help someone didnt get right b4 i give 50 points
Answer:
Mixed Number: 11 1/5
Improper Fraction: 56/5
Step-by-step explanation:
Given:
It takes 3/7 tonnes of sand to make a tonne of concrete.
Mason has 4 4/5 tonnes of sand.
To Find:
How much concrete, in tonnes, can he make?
Give your answer as a fraction in its simplest form.
Solve:
By the given , takes 3/7 tonnes of sand = tonne of concrete.
Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.
Hence, we have;
[tex]4\frac{4}{5}\div \frac{3}{7}[/tex]
Convert to improper fraction;
[tex]=\frac{24}{5}\div \frac{3}{7}[/tex]
Using the fraction rule;
[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{24}{5}\times \frac{7}{3}[/tex]
Cross-cancel common factor - 3
[tex]=\frac{8}{5}\times \frac{7}{1}[/tex]
Multiply fraction:
[tex]=\frac{56}{5}[/tex]
Convert improper to mixed number:
[tex]=11\frac{1}{5}[/tex]
Hence, the answer is [tex]\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }[/tex]
RevyBreeze
Answer:
[tex]\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete[/tex]
[tex]\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete[/tex]
Explanation:
[tex]\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete[/tex]
Here given:
total tones of sand = 4 4/5unit rate of sand required = 3/7Concrete:
[tex]\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}[/tex]
[tex]\rightarrow \sf \dfrac{56}{5}[/tex]
[tex]\rightarrow \sf 11\dfrac{1}{5}[/tex]
PLS When You Answer Type In The Number Of The Question With The Answer
The solution has a positive answer (True).
What is the solution to the arithmetic operators and fractions?
Arithmetic operators are those signs such as addition, subtraction, multiplication, and division that are used to solve mathematical expressions such as fractions and linear equations.
1.
The solution to the expression:
= (-1)(1)(-1)(-1)(1)(-1)(-1)(-1)(-1)(1)(-1)(1)
= 1
Thus, the solution has a positive answer(True)
2.
The solution to the improper fraction:
[tex]\mathbf{\dfrac{5}{7}+(-\dfrac{2}{7})= \dfrac{3}{7} }[/tex]
3.
= -52.31 -(-7.44)
= -52.31 + 7.44
= -44.87
= - 4487/100
4.
The solution to the improper fraction is:
[tex]\mathbf{\dfrac{3}{5}\div -\dfrac{6}{15}=-\dfrac{3}{2} }[/tex]
5.
The given equation is:
-(-6.6) (-20) = 132 which is incorrect.
The correct solution is:
-(-6.6) (-20) = -132
Eric's mistake is that he forgot to multiply by -1 first.
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How much 100% active ingredient powder would you need to add to 4 mL
of multivitamin powder that is 20% active ingredient powder in order to
strengthen the mixture to 50% active ingredient powder?
We need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
How to calculate the amount of active ingredient?The amount of each volume m = CV where
C = concentration and V = volumeThe amount of 50 % mixture, m = amount of 100 % powder + amount of 20 % powder.
M = m + m'
CV = C'V' + C"V" where
C = 50% concentration = 0.5, V = 50 % Volume, C' = 100 % concentration = 1, V' = 100 % volume, C" = 20 % concentration = 0.2 and V" = 20 % volume = 4 mLSo, CV = C'V' + C"V"
0.5V = 1 × V' + 0.2 × 4
0.5V = V' + 0.8 (1)
Also, we have that the total volume V = V' + V"
V = V' + 4 (2)
Substituting equation (2)into (1), we have
0.5V = V' + 0.8
0.5(V' + 4) = V' + 0.8
0.5V' + 0.5 × 4 = V' + 0.8
0.5V' + 2 = V' + 0.8
0.5V' - V' = 0.8 - 2
-0.5V' = -1.2
V' = -1.2/-0.5
V' = 2.4 mL
So, we need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
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A rational expression simplifies to 3. the denominator of the original expression is given. which polynomial is the numerator?
The polynomial within the numerator is 9x²+45x+54.
Given the denominator of the initial expression is [tex]\frac{?}{3x^2+15x+18}[/tex] and also the rational expression simplifies to three.
A mathematical expression which will be rewritten to a rational fraction, an algebraic fraction specified both the numerator and therefore the denominator are polynomials. and a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Let's take the polynomial within the numerator is k.
So, rewrite the given expression as
[tex]\frac{k}{3x^2+15x+18}=3[/tex]
or it also can be written as
[tex]\frac{k}{3x^2+15x+18}=\frac{3}{1}[/tex]
Cross multiply either side as a×d=b×c where a=k, b=3x²+15x+18, c=3 and d=1 and acquire
k=3(3x²+15x+18)
Simplify the above expression,
k=9x²+45x+54
Hence, the polynomial within the numerator within the given expression [tex]\frac{?}{3x^2+15x+18}[/tex] which is simplified to 3 is 9x²+45x+54.
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Answer:a
Step-by-step explanation:
What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f( 1 3 x) + 6? A) stretched horizontally and shifted up B) stretched vertically and shifted right C) compressed vertically and shifted left Eliminate D) compressed horizontally and shifted down
Answer:
A
Step-by-step explanation:
f(x) = x²
f(x) becomes f(13x) + 6
the "+ 6" at the end tells us already everything, because there is only one aber option listed that contains a shift up. and that is exactly what that "+ 6" did. it adds 6 to every possible y value of the function. so, the whole function moves up by 6 units.
and yes, the 13x of f(13x) stretches the function horizontally (along the x axis).
simply said, whenever the x value for the original function increased by 1, it increases for the new function by 13.
Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of yarn cost $28. what is the constant of proportionality in this direct variation?
Answer:
4
Step-by-step explanation:
Proportionality between skein values
8:2=4:1
Proportionality between cost values
28:7=4:1
The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value
What is the value of 3 x squared minus 5 x y + 5 y squared for x = negative 6 and y = 2?
-68
-4
188
208
Answer: 188
Step-by-step explanation: If you plug in all the values, you get 188.
So, 3(-6){squared} - 5(-6)(2) + 5(2){squared)
3(36)+60+20
3(36)+80
108 + 80 = 188
I hope this helps!
Answer:
188
Step-by-step explanation:
3x² - 5xy + 5y² for x = -6 and y = 2
3(-6)² - 5(-6)(2) + 5(2)² =
= 3(36) + 60 + 5(4)
= 108 + 60 + 20
= 188
Find all solutions of the equation in the interval [0, 2π).
Answer:
x=0
Step-by-step explanation:
[tex]4 \cos(x) = - \sin {}^{2} (x) + 1[/tex]
[tex]4 \cos(x) = 1 - \sin {}^{2} (x) [/tex]
[tex]4 \cos(x) = \cos {}^{2} (x) [/tex]
[tex]4 \cos(x) - \cos {}^{2} (x) = 0[/tex]
[tex] \cos(x) (4 - \cos(x) ) = 0[/tex]
[tex] \cos(x) = 0[/tex]
[tex]x = 0[/tex]
[tex]4 - \cos(x) = 0[/tex]
[tex] \cos(x) = 4[/tex]
There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.
On a separate piece of graph paper, graph y = Ixl - 1; then click on the graph until the correct one appears.
The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.
How to graph the function?Here we want to graph:
y = |x| - 1
Notice that if we take the parent absolute value function:
y = |x|
And we translate it one unit downwards, we will get:
y = |x| - 1
Which is the function that we want to graph.
So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.
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Can you answer this question
Step-by-step explanation:
Hi There! Let me help you :)
[tex] = 6.6.6.3.3[/tex]
[tex] = 6(1 + 1 + 1).3(1 + 1)[/tex]
[tex] = 6(3).3(2)[/tex]
y = x - 1/2, (-5, -2)
Answer:
This point is not on the line, NOT TRUE
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given: y = x - 1/2, (-5, -2)
we can plug in the point (-5, -2)
-2 = (-5) - 1/2
-2 = -5.5
-2 does not equal -5.5 so this point is not on the line
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What is the absolute value of -6 ?
Answer:
the answer is just 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
An absolute value of a number is written like this | x |, where x could be any number that you want.
The absolute value is a math function that counts from your given number to 0.
Example: If you put the number 3, the function will count from 3 to 0, and the number will be 3.
| 3 | = 3
If you input the number 8, from 8 to 0 are 8 numbers. So, the output's function will be 8.
| 8 | = 8
If you input a negative number, for example, -6, the function will do the same thing. It will count from -6 to 0. From -6 to 0, are 6 numbers.
| -6 | = 6
Any number that you input in this function, will always output the same number, but positive
| -10 | = 10
| -46348 | = 46348
Hope I helped !
Identify the arc length of BD◠ in terms of π and rounded to the nearest hundredth.
The Arc Length BD from the given diagram is; 4.09π = 12.85 in
How to find the arc length?From the attached image, we are given;
m∠APC = 92°
Now, from the principle of vertical angles being congruent, we have;
m∠APC = m∠BPD = 92°
Thus;
Arc length BD = 2π * 8 * (92/360)
Arc Length BD = 4.09π = 12.85 in
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which of the following number is not a cube number
A) 10000
B)3125
C)64
D)729
Answer:
3125
Step-by-step explanation:
³√3125 comes around 14 not a whole no so not a perfect cubeAnd
10000=10³64=4³729=9³What is the solution to the system of equations?
2x + 4y = 12
y = 1/4x - 3
A. (–1, 8)
B. (8, –1)
C. (5, 1/2)
D. (1/2, 5)
What is the probabily of the 90th percentile given mean of 262 and a standard deviation of 45
The probability of the 90th percentile given a mean of 262 and a standard deviation of 45 is 319.672
Here,
The formula for the percentile probability is
[tex]P=\mu+z\sigma[/tex]
P=262 + 1.2816(45)
P = 319.672
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Which expression is equal to the polynomial
below?
2x + 5x38x - 20
Ox³(2x + 5) + 4(2x - 5)
Ox³(2x + 5)- 4(2x + 5)
Ox³(2x-5)-4(2x - 5)
Ox³(2x + 5) + 4(2x + 5)
The expression 2x⁴ + 5x³ - 8x - 20 can be express as follows;
x³(2x + 5) - 4(2x + 5)
How to factorise an expression?2x⁴ + 5x³ - 8x - 20
Therefore,
2x⁴ + 5x³ - 8x - 20
x³(2x + 5) - 4(2x + 5)
Hence, the expression 2x⁴ + 5x³ - 8x - 20 can be express as follows:
2x⁴ + 5x³ - 8x - 20 = x³(2x + 5) - 4(2x + 5)
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