The best predicted value of y, rounded to two decimal places, is 92.52.
We are given the regression equation of y on x as \(y = -5.58 + 1.07x\) with x as the IQ score of the wife and y as the IQ score of the husband.
The correlation coefficient is r = 0.915.
We need to find the best predicted value of y given that the wife has an IQ of 95.
Let's find the standard error of estimate.
The formula for the standard error of estimate is:
\(Sy|x = √(Sy²(1 - r²))\)
where
\(Sy² = (n-2) SSE / (n-2) = SSE\)
The SSE can be found using the formula:
\(SSE = Σ(y - ŷ)² = Σe² = Σ(y - a - bx)²\)
where a is the intercept, b is the slope and \(ŷ = a + bx\).
The best predicted value of y can be found using the formula:
\(ŷ = a + bx\)
here,
\(a = -5.58 and b = 1.07ŷ = -5.58 + 1.07x = -5.58 + 1.07(95) = 92.52.\)
The best predicted value of y, rounded to two decimal places, is 92.52.
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Find the rate of change
10 points !
what is 20% of 30 ?
Answer:
6
Step-by-step explanation:
Of means multiply
20% * 30
Change to decimal form
.20 * 30
6
Answer:
6
Step-by-step explanation:
\(20\% \ of \ 30 = \frac{20}{100} \times 30 = \frac{1}{5} \times 30 = 6\)
A company wants to decrease their energy used by 17% if their electric bill is currently $2200 a month what will their bill be if they are successful
Answer: \(\$1826\)
Step-by-step explanation:
Given
The company wants to decrease its bill by 17%
The amount of the current bill is \(\$2200\ \text{per month}\)
Percentage decrease is given by
\(\Rightarrow \dfrac{\text{original-New}}{\text{original}}\times 100\)
Suppose the new bill is x
\(\Rightarrow \dfrac{2200-x}{2200}\times 100=17\\\\\Rightarrow 1-\dfrac{x}{2200}=0.17\\\\\Rightarrow 0.83=\dfrac{x}{2200}\\\\\Rightarrow x=\$1826\)
how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
1.6y+y-4/15y+1 1/6y=2 1/3
1.6y+y-4/15y+7/6y=21/3
We move all terms to the left:
1.6y+y-4/15y+7/6y-(21/3)=0
Domain of the equation: 15y!=0
y!=0/15
y!=0
y∈R
Domain of the equation: 6y!=0
y!=0/6
y!=0
y∈R
We add all the numbers together, and all the variables
1.6y+y-4/15y+7/6y-7=0
We add all the numbers together, and all the variables
2.6y-4/15y+7/6y-7=0
We calculate fractions
2.6y+(-24y)/90y^2+105y/90y^2-7=0
We multiply all the terms by the denominator
(2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0
Wy multiply elements
-630y^2+105y+(+2.6y)*90y^2+(-24y)=0
We get rid of parentheses
-630y^2+105y+(+2.6y)*90y^2-24y=0
We add all the numbers together, and all the variables
-630y^2+81y+(+2.6y)*90y^2=0
Hoped this helped :)
Dina cuts some cloth to make four triangular flags. Flag 1 has sides of 6 in. , 10 in. , and 10 in. Flag 2 has sides of 6 in. , 7 in. , and 8 in. The sides of Flag 3 measure 7 in. , 8 in., and 14 in. , while Flag 4 has sides that are 8 in. , 15 in. , and 17 in. Which flag is a right triangle.
Group of answer choices
Flag 1
Flag 2
Flag 3
Flag 4
From the question, Flag 4 is a right triangle because the square of one side is equal to the sum of the square of the other two sides
What is a Right Angle Triangle?A Right triangle is one in which one of the interior angles is 90°. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the square of the hypotenuse side is equal to the square of the addition of the other two sides
From Flag 4
\(8^{2}\) = 64
\(15^{2}\) = 225
\(17^{2}\) = 289
Hence,
\(17^{2}\) = \(15^{2}\) + \(8^{2}\)
289 = 225 + 64
289 = 289
Therefore, from the question, its only Flag 4 that is a right triangle
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In the Second Law experiment, In the Second Law experiment, the acceleration is calculated by measuring the time for the cart to move from the start point to the end point and applying the kinematics equation: s= 1/2 at 2 Explain how this equation is used to find the acceleration.
The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.
Let's derive how the equation is used to find the acceleration from this experiment:
Drivation of kinematics equation:
The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).
Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.
taking integral w.r.t time twice:
∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)
integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)
Thus, the kinematics equation for an object moving with constant acceleration can be represented by
s = 1/2at² + vit + s₀,
where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.
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please help .........
Joaquin took a quiz worth 45 points. He earned 40 points. What was his score
(percent) in the gradebook?
Answer:
88.8888888889% or 88% rounded
plz Brainliest?!?!?
1. Annette scored 85. 73. and 94 on her first three quizzes. How high does she need to
score on her fourth quiz to keep her quiz average at at least a B (8046) ?
Answer:
at least a score of 68
Step-by-step explanation:
(85+73+94+q)/4 ≥ 80
(252 + q)/4 ≥ 80
multiply each side by 4 to get:
252 + q ≥ 320
q ≥ 68
PLS HELP WILL MARK U BRAINLIEST!! NO FAKE ANSWERS
Answer:
C
Step-by-step explanation:
C is not true
Elsa buys x pencils at 8 cents each and y pens at 12 cents
each.
What is the total cost?
Answer:
20 cents
Step-by-step explanation:
8+12=20 cents
please mark me as brainliesT!!!<2
In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.12, what is the probability that the mixture will test positive
The probability that the mixture will test positive is approximately 0.4744 or 47.44%
In this blood testing procedure, the mixture will test positive if at least one of the individual samples tests positive. To determine the probability of the mixture testing positive, we can first find the probability that all individual samples test negative and then subtract that from 1.
The probability that an individual sample tests negative is 1 - 0.12 = 0.88, since there is a 0.12 chance that it tests positive. As there are 5 samples, and we assume they are independent, we can multiply the probabilities together to find the probability that all samples test negative: 0.88^5 ≈ 0.5256.
Now, to find the probability that the mixture tests positive (meaning at least one individual sample is positive), we can subtract the probability of all samples being negative from 1: 1 - 0.5256 ≈ 0.4744.
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Given (x - 1)2 = 50, select the values of x.
X = -49
x = 51
x = 1+5./
x = 1-5V
Answer:
X=26
Step-by-step explanation:
the answer isn't among the options
Square inscribed in a circle with radius 16.
I’ll mark u as a brainliest!!
Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
cuál es el resultado de (3x+4y)+(2x-2y)
Answer:
5x +2y
Step-by-step explanation:
3x + 4y + 2x - 2y -> remove parenthesis
5x +2y -> combine like terms ( 3x + 2x = 5x and 4y - 2y = 2y)
let my know if you have anymore questions
HELP ASAP
The blue triangle is dilated to the red triangle from the
dilation point of (0,0). What is the zoom factor?
Submit and Explain
15
Answer: Scale Factor = 3
Step-by-step explanation:
The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)
PLEASE HELP
Chau made $234 for 18 hours of work. At the same rate, how much would he make for 8 hours of work?
Answer:$104
Step-by-step explanation:
$234 : 18h
$___ : 8h
You will cross multiply 234 and 8, then when you get you answer you divide it by 18 It's called CROSS MULTIPLY AND DIVIDE...
There are twelve marbles in a bag (7 green, 4 yellow, and 1 blue). What is the probability that you pull a green marble (and keep it) and then pull another green marble?
Answer:
Step-by-step explanation:
There are 7+4+1=12 marbles in the bag. The chances of drawing a green one on the first draw is 7/12. The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).
To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).
el 30% del 40% de 60 es/ 30% of 40% of 60 is
Step-by-step explanation:
uiuhhhghjsjsisbsidgurdbridbr d
small medium large regular 14% 20% 26% decaf 20% 10% 10% consider randomly selecting such a coffee purchaser. a. what is the probability that the individual purchased a small cup? a cup of decaf coffee? b. if we learn that the selected individual purchased a small cup, what now is the probability that he/she chose decaf coffee, and how would you interpret this probability? c. if we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the correspon ding unconditional probability of (a)?
It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).
What is meant by Conditional Probability?If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:
\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)
a) The likelihood that the person bought a small cup, P(S) = 0.34
The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40
b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:
\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)
\($& =\frac{0.20}{0.34} \\\)
= 0.5882
If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.
c) If we learn that the selected individual purchased decaf, the probability that small size was selected
\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)
= 0.20/0.40
= 0.5000
When compared to the equivalent unconditional probability of part(a),
It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.
The complete question is:
The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.
Consider randomly selecting such a coffee purchaser.
a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?
b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?
c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?
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Line A: y = 1 2 x + 2 Line B: y = − 1 2 x + 7 Line C: y = −2x + 4 Line D: y = 1 2 x + 5 4 Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D
Answer:
Check the explanation.
Step-by-step explanation:
The slope-intercept form of the equation is
\(y=mx + b\)
where m is the slopeb is the y-interceptLine A:
\(y = 1 2 x + 2\)
The slope of line A:
\(m_A=12\) ∵ comparing with \(y=mx + b\)
Line B:
\(y = -1 2 x + 7\)
\(m_B=-12\) ∵ comparing with \(y=mx + b\)
Line C:
\(y = -2x + 4\)
\(m_C=-2\) ∵ comparing with \(y=mx + b\)
Line D:
\(y = 12x + 5 4\)
\(m_D=12\) ∵ comparing with \(y=mx + b\)
As we know that the product of the slopes of perpendicular lines is -1.
i.e. their slopes are opposite of the reciprocal of each other.
Now, let us check the OPTIONS:
Option A) A and B
Check:
\(m_A=12\)
\(m_B=-12\)
As the product of the slopes A and B is NOT -1, so the lines A and B are not perpendicular. Hence, option A is NOT true.
Option B) A and C
\(m_A=12\)
\(m_C=-2\)
As the product of the slopes A and C is NOT -1, so the lines A and C are not perpendicular. Hence, option B is NOT true.
Option C) B and C
\(m_B=-12\)
\(m_C=-2\)
As the product of the slopes B and C is NOT -1, so the lines B and C are not perpendicular. Hence, option C is NOT true.
Option D) A and D
\(m_A=12\)
\(m_D=12\)
As the product of the slopes A and D is NOT -1, so the lines A and D are not perpendicular. Hence, option D is NOT true.
Therefore, NO OPTION is correct.
Divide and write the quotient as a decimal
Answer:
0.16666666666667.
Step-by-step explanation:
Write an explicit formula for an the nth term of the sequence 7,3, 1,....
Answer:
20
Step-by-step explanation:
Answer:
nth term = 7+(n-1)4
Step-by-step explanation:
someone pls explain what is adding and subtracting whole numbers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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Can anyone answer these for me pls
Answer:
#7 can be simplified to -10 √15x -40 √5
#8 = -20 √6x +30x√2
#9 = 10x√6+3 √15xx
#10 = -20√6a -15 √2
Step-by-step explanation:
Hi, I need help involving a problem with set builder and interval notion. I will include a picture of it. Thank you so much
-4 is not included, that is why the open interval and the symbol of ) are used
What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?
Enter your answer in the box.
y =
Answer:-6
Step-by-step explanation:
The value of the y-intercept is 0.
y = 0
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,
The equation of the given function is:
f(x) = -6 x 7.5x
We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:
f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)
f(x) = -45x + 0
So, the slope of the line is -45 and the y-intercept is 0.
Therefore,
The value of the y-intercept is 0.
y = 0
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Find an angle � θ coterminal to − 90 6 ∘ −906 ∘ , where 0 ∘ ≤ � < 36 0 ∘ 0 ∘ ≤θ<360 ∘
The angle that satisfies the necessary requirements is 1041° - 2(360°) = 321°. Coterminal angles are those with the same terminal point in the standard position.
To understand, follow the 2 basic steps:
Step 1: Find the specified angle.
Step 2: Finding a coterminal angle.
Tally up or tally down a multiple of 360.
θ = 1041°
Every multiple of 360 degrees added or subtracted results in an angle that is coterminal with the provided angle.
Hence, 1041° - 2(360°) = 321° is an angle that satisfies the necessary requirements.
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Dr. Cal Coolis wants to determine which of three e-learning packages leads to the most improvement in mathematical ability. Sixty high-achieving students from a local school volunteer to test the software. Twenty randomly chosen students use each package for six months, after which their improvement in mathematical ability is measured and compared. In designing this experiment, Dr. Coolis violated the guiding ethical principle of
Answer: justice
Step-by-step explanation:
The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.
In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.