The residual value will be equal to -1.
What is residual value?A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.
Take, for instance, we have the following data entry:
Observed value = 69.4
Predicted value = 70.4
The residual (r) would be:
Residual value = 69.4 - 70.4 = -1
Therefore the residual value will be -1
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How to remember nagative exponents how to solve nagative exponents
To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
How are negative exponent calculated?To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
[tex]a^{-n} = \frac{1}{a^{n} }[/tex]
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]
Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]
= 9
Here, 9 is the answer of the above example.
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Angle C and angle D are vertical angles. Angle C is 36 degrees. What is the measure of angle D?
Answer:
Angle D is 36 Degree!
Step-by-step explanation:
In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.
Answer:
d=144°
Step-by-step explanation:
Vertical angles add up to 180
c+d=180
36+d=180
d=180-36
d=144°
Write the equation in slope-intercept form for the line with the given slope that contains the given point.
slope = 1; (3,5)
A) y=2x+1
B) y=3x+5
C) y=5x+3
D) y=1x+2
Answer:
D) y = 1x + 2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this equation, "m" stands for the slope and "b" stands for the y-intercept. You can substitute the given value of the slope into the equation. Since you are not given "b", you can plug the value of the points into the half-completed equation (with the slope) and isolate "b".
slope = m = 1
y = (1)x + b
(3,5) ------> y = 5 and x = 3
5 = 1(3) + b
5 = 3 + b
2 = b
Final Equation:
y = 1x + 2
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Answer:
20cm²
Step-by-step explanation:
We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.
100cm³/5cm = 20cm²
The area of the shaded face is 20cm².
Step-by-step explanation:
We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.
100cm³/5cm = 20cm²
The area of the shaded face is 20cm².
Bryannasalaz
Can anyone help solve this inequality (ps, also make sure to read the bottom)
Simplify: -4x542x5
Enter the original expression if it cannot be
simplified.
Enter the correct answer.
000
008
Clear all
+?
DONE
multiply left to right:
-4 x 542 = -2,168
-2,168 x 5 = -10,840
answer: -10,840
The simplified expression is -4x^(547).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify -4x^(542)x^5.
You can use the property of exponents that states that when you multiply two terms with the same base, you add their exponents.
So,
-4x^(542)x^5
= -4x^(542+5)
= -4x^(547)
Thus,
The simplified expression is -4x^(547).
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Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:
Answer:
$42 would be the correct answer.
I need help asap please? and this is for the math question? what is 77x+93=360? put in a fraction and decimal and you can round to nearest tenths, plus I will give out brainlists to whom ever answers first
[tex]\\ \rm\Rrightarrow 77x+93=360[/tex]
[tex]\\ \rm\Rrightarrow 77x=360-93[/tex]
[tex]\\ \rm\Rrightarrow 77x=367[/tex]
[tex]\\ \rm\Rrightarrow x=4.77[/tex]
[tex]\\ \rm\Rrightarrow x=4.8[/tex]
Aswer with Nina ^-^
Don't report my answer ✅
If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of
1. α²+β²
2. 1/α+1/β
Can Someone Answer This Quick Thank You<3
Answer:
1. α²+β² = 25/36
2. 1/α+1/β = 1/2
Step-by-step explanation:
Formula :
Consider the quadratic equation ax² + bx + c = 0
Where x₁ and x₂ are the zeros of the equation.
Then
[tex]x_{1}+x_{2}=-\frac{b}{a} \\x_{1}\times x_{2}=\frac{c}{a}[/tex]
……………………………………
α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2
Then
[tex]\alpha +\beta =-\frac{1}{6}[/tex]
[tex]\alpha \times \beta =-\frac{1}{3}[/tex]
……………………
[tex]\alpha^{2} +\beta^{2} =\left( \alpha +\beta \right)^{2} -2\alpha \beta[/tex]
[tex]=\alpha^{2} +\beta^{2} =\left( -\frac{1}{6} \right)^{2} -2\times(-\frac{1}{3} )[/tex]
[tex]=\frac{25}{36}[/tex]
………………………………
[tex]\frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha +\beta }{\alpha \beta }[/tex]
[tex]=\frac{-\frac{1}{6} }{-\frac{1}{3} } =\frac{1}{2}[/tex]
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.
If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.
Graph the functions on the same coordinate plane.
f(x)=−x+4
g(x)=x2−2
What are the solutions to the equation f(x)=g(x) ?
Select each correct answer.
3
−3
−2
2
0
Answer:
[tex]x = 2~\text{and} ~x = -3[/tex]
Step-by-step explanation:
[tex]~~~~~~f(x) = g(x)\\\\\implies -x +4 =x^2 -2\\\\\implies x^2 -2+x -4=0\\\\\implies x^2 +x -6 = 0\\\\\implies x^2 +3x -2x -6 =0\\\\\implies x(x+3) - 2(x+3) = 0\\\\\implies (x-2)(x+3) = 0\\\\\implies x = 2,~ x = -3[/tex]
Answer:
x = -3 and x = 2
Step-by-step explanation:
Plotting the graphs :
f(x)
⇒ Find two points (preferably the x and y intercepts)
⇒ 0 = -x + 4
⇒ x = 4
⇒ Point 1 : (4, 0)
⇒ f(x) = 0 + 4
⇒ f(x) = 4
⇒ Point 2 : (0, 4)
g(x)
⇒ g(x) = 0 - 2
⇒ g(x) = -2
⇒ Point 1 : (0, -2)
⇒ g(x) = 2² - 2
⇒ g(x) = 2
⇒ Point 2 : (2, 2)
* Graph with both functions is attached below *
=============================================================
Finding the solutions :
⇒ Equate f(x) and g(x)
⇒ -x + 4 = x² - 2
⇒ x² + x - 6 = 0
⇒ x² + 3x - 2x - 6 = 0
⇒ (x + 3)(x - 2) = 0
⇒ x = -3 and x = 2
3. What is the surface area of the triangular prism shown below?
Answer:
1233cm^2
Step-by-step explanation:
a of triangle = 1/2 bh
1/2 x 12 x 9 = 54
108 x 2 = 108
a of regtangle = l x w
25 x 15 = 375
375 x 3 = 1125
total surface area = 1125 + 108 = 1233cm^2
In triangle ABC, points D and E are on sides AB and BC, respectively,
such that DE | AC, and AD:DB = 3:5.
If DB = 6.3 and AC = 9.4, what is the length of DE, to the nearest
tenth?
The length of DE in the triangles is 5.9
How to determine the length of DE?The given parameters are:
DB = 6.3
AC = 9.4
AD : DB = 3 : 5
Substitute DB = 6.3 in AD : DB = 3 : 5
AD : 6.3 = 3 : 5
Express as fraction
AD / 6.3 = 3 / 5
Multiply both sides by 6.3
AD = 3.78
The length DE is then calculated using the following ratio:
BD : DE = BA : AC
Where:
BA = BD + AD
This gives
BD : DE = BD + AD : AC
Substitute known values
6.3 : DE = 6.3 + 3.78 : 9.4
Simplify
6.3 : DE = 10.08 : 9.4
Express as fraction
DE/6.3 = 9.4/10.08
Multiply both sides by 6.3
DE = 5.9
Hence, the length of DE is 5.9
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For the function h defined by h(x) = 2x² - 2, find h(-1/2).
Answer:
-1.5
Step-by-step explanation:
h(-1/2)=2 [tex](\frac{-1}{2})^{2}[/tex] -2
h(-1/2)= [tex]\frac{1}{2} -2\\[/tex]
h(-1/2)=-1.5
Which statements are true?
Select each correct answer.
All rhombuses are rectangles.
All parallelograms are quadrilaterals.
All rectangles are squares.
All squares are rhombuses.
Answer:
OTHER ANSWER IS WRONG
Step-by-step explanation:
B. All parallelograms are quadrilaterals.
D. All squares are rhombuses.
can someone please give ,e a good explanation of associative property and examples please
Answer:
See below
Step-by-step explanation:
Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.
For example, [tex](8*4)*5=8*(4*5)[/tex] if you're doing multiplication, or [tex](8+4)+5=8+(4+5)[/tex], if you're doing addition.
rewrite each expression using the distributive property 5x2+35x
Answer:
Common factor
5x^{2}+35x
5(x^{2}+7x)
2
Rewrite in factored form
5(x^{2}+7x)
5x(x+7)
Solution
5x(x+7)
Step-by-step explanation:
mark me brainlist
A money market account is a collection of stock and bonds true or false
Answer:
A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.
What is the circumference of a circle with a diameter of 7 feet? Use 3.14 for
TT.
d=7 ft
Answer:
21.99
Step-by-step explanation:
15c² - 5c. Factorise completely
Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is [tex]15c^2 - 5c[/tex].
The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both [tex]15c^2[/tex] and [tex]-5c[/tex] have the number 5 and the variable c associated with them so we can factor out those two.
Factor out 5c
[tex]15c^2 - 5c[/tex][tex]5c(\frac{15c^2}{5c}) - 5c(\frac{5c}{5c})[/tex][tex]5c(3c) - 5c(1)[/tex][tex]5c(3c - 1)[/tex]Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of [tex]5c(3c - 1)[/tex].
Answer:
5c(3c - 1)
Step-by-step explanation:
Take out the 5c to factor out completely
please help... Find the volume of pyramid that has a square base.
Answer:
V = 324 cm³
Step-by-step explanation:
the volume (V) of the pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )
here A = 9² = 81 cm² and h = 12 , then
V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³
The equation y= -3x7 describes a parabola. Which way does the parabola
open?
Answer:
See below
Step-by-step explanation:
y = -3 x^7 is NOT a parabola.... y = -3x^2 IS a parabola that opens downward due to the negative coefficient (-3)
need help pls
thank you in advance
Answer:
Mean[tex]\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}[/tex]
[tex]\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10[/tex]
[tex]\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10[/tex]
Standard Deviation[tex]\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}[/tex]
[tex]\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}[/tex]
[tex]\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}[/tex]
SummaryNilo has a mean score of 10 and a standard deviation of 5.23.
Lisa has a mean score of 10 and a standard deviation of 1.83.
The mean scores are the same.
Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more spread out that Lisa's, which means Lisa's test scores are more consistent.
You have an account with a principal of $200. it pays 8% at the end of every year. calculate the principal at the end of 3 years.
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = (P × R × T)/100
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The principal at the end of 3 years is,
Principal after 3 years = P + (P × R × T)
= $200 + ($200 × 0.08 × 3)
= $200 + $48
= $248
Hence, the principal at the end of 3 years is $248.
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A macaroni and cheese recipe calls for 2/3 of a 2 1/2 pound block of cheese. How many pounds are needed?
Answer:
4/6
Step-by-step explanation:
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be 4/6
A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is m.
Find the value of m.
Total courses =5
Each course has 3 options
5 courses has
5(3)15choicesHence
m=15Answer: m = 15
Explanation:
Each (1 course) has 3 options
By multiplication,
5 courses shall have: (5 × 3) = 15 choices
By addition,
Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices
Im Not Understanding!
Answer:
3/2 + 3/2 + 3/2 = 3/1
so 3 over 1 times 1 over 2
20.
30a³-26a² - 36a + 8
(10a - 2)
i have to divide
Answer:
112.8
Step-by-step explanation:
Hope this help!!
MATH!!! 15 points;)) find the surface area of the pyramid
please answer correctly & check your work...
Answer:
20ft²
Step-by-step explanation:
rewrite √32/8 into simplified radical form