The name of the variable that is used to predict another variable is the explanatory variable.
The correct answer option is: b
What are response and explanatory variables?
The variable that researchers are attempting to explain or predict is known as the response variable. Because it is dependent on another variable, it is also known as the dependent variable.
The variable that is used to explain or predict the response variable is referred to as the explanatory variable.
What is the coefficient of determination and standard error of the estimate?
The coefficient of determination is a measurement used to explain how much variability in one factor can be explained by its relationship to another related factor.
The standard error of the estimate is an estimate of the accuracy of any predictions. It is denoted as SEE. The regression line decreases the sum of prediction deviations squared It is also referred to as the sum of squares error.
Dependent and independent variables are variables in mathematical modeling, statistical modeling, and experimental sciences, according to the question. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they depend, by some law or rule, on the values of other variables.
The name of the variable that is used to predict another variable is the explanatory variable.
The correct answer option is: b
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What is the surface area of a cube that has an edge of 7 cm.
Answer: Your answer should be 294 cm2.
Answer:
294 cm²
Step-by-step explanation:
A cube has 6 congruent square faces. The surface area is the sum of the area of the 6 faces.
area of one face = 7 × 7 = 49 cm²
surface area = 6 × 49 = 294 cm²
If x = 71, could the triangles be similar? Explain why or why not.
Answer:
Yes, the yellow triangles are similar.
Step-by-step explanation:
Angle-Angle similarity states that if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
If angle x is 71° then both yellow triangles have two angles of equal measure (28° and 71°), which means they are similar triangles.
a baseball team plays in a stadium that holds 53,000 spectators. with ticket prices at $10, the average attendance had been 27,000. when ticket prices were lowered to $8, the average attendance rose to 33,000.
(a) find the demand function (price p as a function of attendance x), assuming it to be linear.
(b) how should ticket prices be set to maximize revenue?
(a) The demand function assuming it is linear is P(x) = -x/3000 + 19 .
(b) The ticket price to maximize the revenue should be $9.5 .
In the question ,
it is given that ,
the number of spectators that baseball stadium can hold = 53000
the ticket price = $10
the average attendance = 27000 ,
when ticket price lowered to $8 , average attendance rose to 33000 .
So , the points are represented as
for $10 the attendance is 27000 ,
for $8 the attendance is 33000 ,
the points are (27000 , 10) and (33000 , 8) .
the slope = (change in price)/(change in attendance )
= (8-10)/(33000 - 27000)
= -2/6000
= -1/3000
So ,the equation is
(y - 10) = (-1/3000)(x - 27000)
y - 10 = -x/3000 + 27000/3000
y - 10 = -x/3000 + 9
y = -x/3000 + 19
the demand function is P(x) = -x/3000 + 19 ,
the revenue function , R(x) is x.P(x)
R(x) = x.P(x)
So , R(x) = x(-x/3000 + 19)
= -x²/3000 + 19x
to maximize the revenue function , we differentiate with respect to "x" ,
we get ,
R'(x) = 19 - 2x/3000
= 19 - x/1500
for critical value , R'(x) = 0 ,
w get ,
19 - x/1500 = 0
x/1500 = 19
x = 28500
again Differentiating R′(x) with respect to x,
R″(x) = -1/1500 < 0
So , for 28500 spectators, the revenue will be maximum .
the ticket price for 28500 spectators will be ,
P(28500) = 19 - 28500/3000
= 19 - 9.5
= 9.5
Therefore , (a) The demand function assuming it is linear is P(x) = -x/3000 + 19 .
(b) The ticket price to maximize the revenue should be $9.5 .
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What are the steps for using a compass and straightedge to construct the bisector of angle A?.
The steps to construct the bisector of angle A are- draw an arc across both rays of the angle. From each arc, draw another pair of arcs that intersect each other. Draw a line to the intersection point to form the angle bisector.
Detailed steps to construct the bisector of angle A using compass are:
1. Give name to the intersection of the arcs in the interior of the angle as point M.
2. Without changing the width of the compass, place the point of the compass at point O and draw another arc in the interior of the angle.
3. Place the point of the compass on point N and again draw an arc in the interior of the angle.
4. Use the straight ruler to draw a line.
5. Place the point of the compass at point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points N and O.
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What number is 20% of 50%?.
Answer:
0.10 or 10%
Step-by-step explanation:
Think about it, 20% of 50 = 10
You could also do 0.20 x 0.50 to get 0.10
What are non linear quadratic equations?.
A group of two or more equations containing the same variables but with at least one non-linear equation is a non-linear system of equations.
What is a non-linear equation?
An equation that does not form a straight line is said to be non-linear. It has a variable slope value and resembles a graphed curve. Ax2+by2 = c is a common formula for a non-linear equation.What is a nonlinear equation example?
A nonlinear equation is one in which a term can have a maximum degree of two or more. This is an example of a nonlinear equation because equation 1 has the highest degree of 2, and equation 2 has variables. + 2x + 1 = 0, 3x + 4y = 5,Learn more about non-linear equation
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How many combinations of a president, vice-president, secretary, and treasurer can be chosen from a group of 12 students?.
The number of combinations of a president, vice president, secretary and a treasurer can be chosen from a group of 12 students is 11,880.
Given: we have group of 12 students.
we are asked to determine the number of combinations of a president, vice-president, secretary, and treasurer can be chosen from a group of 12 students.
nPr = n!/(n-r)!
12P4 = 12!/(12 - 4)!
12P4 = 12!/8!
9 × 10 × 11 × 12
= 11,880
Hence the number of combinations are 11,880.
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determine the integer floor of the sum of two floating point numbers. the floor is the truncated float value, i.e. anything after the decimal point is dropped.
return(int(a+b)) is the way to determine the integer floor of the sum of two floating point numbers.
Here is an example program:
int main(void){
double a,b,c;
a=1.001;
b=2.243;
c=a+b;
return(int(c));
}
where, a and b are floating points we need addition of that as an integer which means removing the decimal part.
hence, we use return(int(c)), it is also called as parsing integer.
What is parseInt()?
The function parseInt(int I produces an integer when given a textual representation of a number that is either decimal, binary, octal, or hexadecimal (radix equals 10, 2, 8, or 16 correspondingly).
Example in java program:
public class Test {
public static void main(String args[]) {
int x =Integer.parseInt("9");
double c = Double.parseDouble("5");
int b = Integer.parseInt("444",16);
System.out.println(x);
System.out.println(c);
System.out.println(b);
}
}
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I will mark brainliest for help
Answer:
Step-by-step explanation:
78
What is the diameter of the inscribed circle of the triangle?
The diameter of the inscribed circle of the triangle is
(Type a whole number.)
x+2
2x-7
The value of diameter for the given triangle inscribed in a circle will be 22.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
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Determine if the following functions are increasing or decreasing, and compare their rates of change.
A.
Both functions are increasing and have different rates of change.
B.
Both functions are increasing and have the same rate of change.
C.
Both functions are decreasing and have different rates of change.
D.
Both functions are decreasing and have the same rate of change.
The rate of change of the functions are: I. -3 II. -1/4.
Therefore, C. Both functions are decreasing and have different rates of change.
How to Find the Rate of Change o fa Function?The rate of change of any function can be calculated as = change in y / change in x.
If the rate of change is a negative number, the function is decreasing. If it is a positive number, the function is decreasing:
Rate of change of the line that passes through (3, 3) and (4, 0):
Rate of change = (0 - 3) / (4 - 3)
= -3/1
= -3 [this means the function is decreasing].
Rate of change of the function represented by the table, using two pairs of the table values, (0, -1) and (-4, 0):
Rate of change = (0 -(-1)) / (-4 - 0)
= 1/-4
= -1/4 [this shows the function is decreasing]
Therefore, the answer is: C. Both functions are decreasing and have different rates of change.
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One prominent physician claims that 70% of those with lung cancer are chain smokers. If his assertion is correct, find the probability that of 10 such patients recently admitted to a hospital, fewer than half are chain smokers.
The probaility of non smokers is 0.3
One prominent physician claims that 70% of those with lung cancer are chain smokers
use binomial formula, where probability x successes in n tries where each try has probability p:
P(x successes) = C(n,x) * p^x * (1-p)^(n-x)
n is sample size
p is the probability of success
here n = 10, p = 0.7
a) more than have is P(x = 6) + P(x=7) + P(x = 8) + P(x = 9) + P(x = 10)
b) exactly 4 are heavy-smokes is P(x = 4)
c) probability non-smoker is 1 - 0.7 = 0.3
P(x < 2) = P(x = 0) + P(x = 1), and P = 0.3
Therefore, the probaility of non smokers is 0.3
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Disclaimer,
the question given by you is incomplete,
a similar question is
One prominent physician claims that 70% of those with lung cancer are heavy smokers. If his assertion is correct, find the probability that out of 10 such patients recently admitted to a hospital
(a) more than half are heavy smokers
(b) exactly 4 are heavy smokers
(c) less than 2 are non- smokers
The chorus has 30 members. which expression represents the number of ways a group of 6 members can be chosen to do a special performance? 30 · 6
For this combination can be used , the answer would be 639450 ways
What is combination?
In arithmetic, a combination may be a choice of things from a group that has distinct members, such the order of choice doesn't matter.
Main body:
Given, the total number of members in the chorus are 30.
Also, it is given that 6 members from the chorus have to be
chosen for a special performance.
The number of ways of choosing r people out of given n people
is given by the expression
nCr
= n!/r!(n-r)!
So the number of ways of choosing 6 members out of 30 are
³⁰C₆
= 30!/24!6!
= 639450 ways
But since only the expression to represent the number of ways
was asked not the exact number of ways we can leave the
answer as ³⁰C₆ .
Hence total number of ways is 639450 ways.
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alan can type a research paper in 6 hours. with the help of steve, the paper can be typed in 4 hours. find how long it would take steve to type the paper alone.
It will take 12 hours to type the research paper by the Steve alone.
What is meant by time and work?Work Done = Time Taken x Rate of Work Work Rate = 1 / Time Taken Time taken = 1 / Rate of work If a piece of work is completed in x days, then the work completed in one day equals 1/x.
The fundamental concept of Time and Work is similar to that of all Arithmetic topics, namely the concept of Proportionality. When the amount of work done is constant, efficiency is inversely proportional to time.
Let x be the amount of hours Steve can spend typing a research paper.
Steve completes 1/x of a research paper per hour.
Alan completed 1/6 of the paper in an hour.
1/4 = amount of paper completed each hour by both of them
1/x + 1/6 = 1/4
Multiply by 12 on the LCD to get 12 + 2x = 3x x = 12 hours.
It will take 12 hours to type the research paper by the Steve alone.
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Which expression
O 5√10+4√10
O 5 10+4 10
O 5√10+410
O 510+4 10
DONE
equals
93/10 ?
The expression that equals 9×10^(1/3) is 5×10^(1/3) + 4×10^(1/3).
We are given a number. The number is a multiplication between an integer and another number having an exponent. The number is given below.
N = 9×10^(1/3)
We are given four expressions in the options. We need to find the expression that is equal to the given number. We will follow the rules of the exponents.
The first expression is 5×10^(1/2) + 4×10^(1/2). The sum is 9×10^(1/2).
The second expression is 5×10^(1/3) + 4×10^(1/3). The sum is 9×10^(1/3).
The third expression is 5×10^(1/2) + 4×10^(1/3). The terms can't be simplified.
The fourth expression is 5×10^(1/3) + 4×10^(1/2). The terms can't be simplified.
Hence, the expression that equals the given number is the second expression.
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Is 15 a multiple of 3 yes or no?.
Answer:
Yes
Step-by-step explanation:
As long as 3 can multiply into 15, then 15 is a multiple of 3.
Multiples of 3 are: 3,6,9,12,15 and so on.
Data Set: {(-3, 4), (-2, 3), (-1, 3), (0, 7), (1, 5), (2, 6), (3, 1)}
1. The regression line is: y =
2. Based on the regression line, we would expect the value of response
variable to be
x when the explanatory variable is 0.
4. If x= -3.5, the ŷ =
extrapolation +
3. For each increase of 1 in of the explanatory variable, we can expect a(n)
decreasex of
x in the response variable.
5. The correlation coefficient is r =
x -
hundredth.)
x x
Check
x. This is an example of
x. (Round to the nearest
1.Regression line is given by:
y = 4.14 - 0.04 x
2. When explanatory variable is 0, y = 4.14
3.For each increase of 1 in explanatory variable, there can be a decrease of 0.04 in response variable.
4. The value of y is 4.28
5. The value of r is -0.04
What is regression line?
A regression line is a line that in statistics best depicts the behavior of a set of data. It is, in other words, a line that best fits the trend of the data at hand.
Simple linear regression results:
Dependent Variable: Y
Independent Variable: X
Y = 4.1428571 - 0.035714286 X
Sample size: 7
From above equation:
1. Regression line is given by:
y = 4.14 - 0.04 x
2. When explanatory variable is 0, y = 4.14
3. For each increase of 1 in explanatory variable, there can be a decrease of 0.04 in response variable.
4. when x = -3.5:
substitute this into the equation of regression line
y = 4.14 - 0.04*(-3.5) = 4.28
It is an example of extrapolation
5. r = -0.04
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Express 650 m as a fraction of 1 km.
Answer:
1km= 1000m
[tex]\frac{650}{1000}[/tex]
=[tex]\frac{13}{20}[/tex] (simplified)
What is the median of the data 17 2 7?.
Median for the given data 17, 2 ,7 is 12.
What is median?
The median is that the value that’s precisely within the middle of a dataset once it's ordered. It’s a live of central tendency that separates the bottom 50% from the very best 50% of values.
Main body :
First of all to find the median data should be arranged in ascending order.
Aranging data in ascending order
2, 5 , 7 , 7 , 8 , 8 , 10 , 10 , 14 , 15 , 17 , 18 , 24 , 27 , 28 , 48
Now there are even number of terms i. e 16
So,
M1 = n / 2 and M2 = ( n / 2 ) + 1
= 16 / 2 = 8 + 1
= 8th term = 9th term
M1 = 10 M2 = 14
Median, M = ( M1 + M2 ) / 2
= ( 10 + 14 ) / 2
= 24 / 2
= 12
Hence median of observation is 12.
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How do you write 1000 in expanded form?.
The number 1000 can be written in its expanded form as
1000 = 1×10³ + 0×10² + 0×10 + 0
Given, a number 1000
we have to write the given number in its expanded form
so, 1000 can be written in its expanded form as
1000 = 1×10³ + 0×10² + 0×10 + 0
and it is the expanded form of the number 1000
where, the place value of 1 is thousand.
So, the number 1000 can be written in its expanded form as
1000 = 1×10³ + 0×10² + 0×10 + 0
Hence, the number 1000 can be written in its expanded form as
1000 = 1×10³ + 0×10² + 0×10 + 0
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for the following gear train, tooth numbers are n2 = 12, n3 = 16, and n4 = 12. how many teeth must internal gear 5 (ring gear) have if gear 5 is fixed? what is the speed of the arm if shaft a rotates counterclockwise at 320 rev/min?
for the following gear train, tooth numbers are n2 = 12, n3 = 16, and n4 = 12 the speed of the arm is 426.67 rev/min.
What is the speed of rotation?The angular velocity of an item as it rotates around an axis or centre is quantified as the speed of rotation. Usually, it is expressed in terms of degrees, per minute (RPM). The angular velocity of an object is a measure of how rapidly the object rotates around a central point and is connected to the linear velocity of the object around the perimeter of its path of revolution. In physics, the idea of It is used to explain the motion of things ranging from tiny particles to large celestial bodies, and it is an important aspect in understanding object behaviour. for the following gear train, tooth numbers are n2 = 12, n3 = 16, and n4 = 12
How to solve?
n1/n2 = n3/n4. In this case, the gear ratio for the first set of gears (gears 1 and 2) is 12/12 = 1. For the second set of gears (gears 3 and 4), the gear ratio is 16/12 = 4/3.
Since internal gear 5 is fixed, it must have the same number of teeth as gear 1, which is 12. Therefore, the number of teeth on internal gear 5 is 12.
To determine the speed of the arm, we need to use the equation for speed of rotation: speed of rotation = (speed of input shaft) x (gear ratio of gears 3 and 4) = 320 rev/min x (4/3) = 426.67 rev/min.
Therefore, the speed of the arm is 426.67 rev/min.
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A cat weighs 82 ounces. There are about 28.3 grams in 1.6 ounces. Approximately how many
grams does the cat weigh? Round your answer to the nearest whole gram.
The cat's weight in grams will be 1450 grams.
According to the question,
We have the following information:
A cat weighs 82 ounces. There are about 28.3 grams in 1.6 ounces.
Now, we can easily find the weight of the cat in grams by following the given steps:
1.6 ounces = 28.3 grams
We will find the weight in grams in 1 ounce using division.
1 ounce = 28.3/1.6 grams
Now, the weight of 82 ounces in grams:
82 ounces = (28.3*82)/1.6 grams
82 ounces = 1450.375 grams
After rounding it off to the nearest whole gram, we have 1450 grams.
Hence, the cat's weight in grams will be 1450 grams.
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Dos números que suman 54 pero tienen una diferencia de 30
Answer:
12 y 42
Step-by-step explanation:
Let x and y represent the two numbers:
(1) x+y=54 and (2) x-y=30
Solve for x:
x-y=30
x=30-y
Substitute into equation (1):
(30-y)+y=54
2y+30=54
2y=24
y=12
Substitute into equation (2):
x-12=30
x=42
A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%. What is the minimum sample size needed?.
The minimum sample size would be 953.
What is the confidence interval?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.
The given sample space is n = 300.
x = 101 plan to vote
P = x/n = 101/300 = 0.3367
95% confidence = [tex]P\pm Z_\frac{\alpha}{2}=1.96[/tex]
Confidence Interval:
[tex]CI=P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}\\\\CI=0.3367\pm 1.96 \times \sqrt{\frac{0.3367(1-0.3367)}{300}}\\\\CI=(0.2832, 0,3902)[/tex]
Margin of error = 3%
The margin of Error = [tex]Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}[/tex]
[tex]3 \% = P\pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1-P)}{n}}[/tex]
[tex]\frac{1}{\sqrt{n}}=\frac{0.03}{1.96\sqrt{(0.3367)(1-0.3367)}}\\\\\sqrt{n} = 30.875\\\\n = 953[/tex]
Hence the minimum sample size = 953.
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Ahby ate a lot for thankgiving dinner. He decided to go on a long run. He ran 6 mile in 57 minute. How long did it take him to run a mile
It takes Ahby a total of 9.5 minutes to run a mile.
What is a total?
The sum of two or more numbers is known as the total in mathematics. It is the total of the figures added up. When we add two or more numbers, amounts, or items, the total sum is obtained. The sum can also be expressed as the total, aggregate, or tally in this example, where the sum of 3 and 7 is 10.
Solution Explained:
Given in the question,
Total time taken to run 6 miles = 57
So,
Total time taken to run 1 mile = 57/6 = 9.5 minutes
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Suppose you repeatedly play a casino game where your probability of winning on each play is 0.48. You want to find the probability that you will be ahead (more wins than losses) if you play n times. Which of the following is true?
a. The probability of being ahead is greater than 1/10 when n=1000 b. The probability of being ahead is greater than 1/3 when n=50 c. The probability of being ahead is greater than 1/4 when n=250 d. None of the above are true
In the casino game of the given options the probability of being ahead is greater than 1/3 when n = 50 .
Let us calculate the probability using normal distribution for the following options at the various sample .
at n= 250
Sample size , n = 250
Probability of the event of winning each play p = 0.48
Mean = np = 120
standard deviation = σ = √np(1-p) = 7.8994
P(X > 125 ) = P(X > 125.5)
Z=(X - µ ) / σ = (125.5-120)/7.8994)= 0.696
=P(Z >0.696 ) = 0.24
now let us calculate for n= 1000
Probability of the event of winning each play p = 0.48
Mean = np = 480
standard deviation = σ = √np(1-p) = 15.7987
P(X > 500 ) = P(X > 500.5)
Z=(X - µ ) / σ = (500.5-480)/15.7987)= 1.298
=P(Z > 1.298 ) = 0.0972
now let us calculate for n= 50
Probability of the event of winning each play p = 0.48
Mean = np = 24
standard deviation = σ = √np(1-p) = 3.5327
P(X > 25 ) = P(X > 25.5)
Z=(X - µ ) / σ = (25.5-24)/3.5327)= 0.425
=P(Z > 0.425 ) = 0.3356
Therefore the probability of being ahead is greater than 1/3 when n=50 .
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A company orders 19 boxed lunches from a deli for $198. 55. If each boxed lunch costs the same amount, how much do 6 boxed lunches cost?.
The cost of 6 boxed lunches is 62.7
A company orders 19 boxed lunches from a deli for $198. 55.
We need to calculate the price of 6 lunch boxes.
This can be found by using unitary method
Number of lunch boxes = 19
Total price = 198.55
If 19 lunch boxes cost 198.55
Cost of 1 lunch box is 198.55/19
Cost of 1 lunch box is 10.45
Cost of 6 lunch boxes is 10.45 x 6
Cost of 6 lunch boxes is 62.7
Therefore, If a company orders 19 boxed lunches from a deli for $198. 55 the cost of 6 boxed lunches is 62.7
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What is the step by step equation for
Answer:
First, know that [tex]csc(x)=\frac{1}{sin(x)}[/tex]:
[tex]\frac{1}{sin^{2}(x)} *cos^{2}(x)=\frac{cos^{2}(x)}{sin^{2}(x)}[/tex]
Remember that cos²(x) + sin²(x) = 1, so cos²(x) = 1 - sin²(x):
[tex]\frac{cos^{2}(x)}{sin^{2}(x)} =\frac{1-sin^{2}(x)}{sin^{2}(x)} =\frac{1}{sin^{2}(x)} -\frac{sin^{2}(x)}{sin^{2}(x)} =csc^{2}(x)-1[/tex]
Step-by-step explanation:
this might be the answer
it is always necessary for an agent to disclose the identity of the principal to any third person with whom he is contracting; else the contract becomes void.
The statement is false. It is always necessary for an agent to disclose the identity of the principal to any third person with whom he is contracting; else the contract becomes void.
Given that,
Any third party with whom an agent enters into a contract must always be informed of the identity of the principal; otherwise, the contract is null and void.
By speaking to the third party or carrying out an approved act, the principle reveals his or her identify and existence.
If the principle's identity is unknown and the third party has learned enough details to guess it, the principal is deemed to have been disclosed. The principal is in this case responsible to the third party; the agent is not. Contracts or other agreements between agents and third parties are regarded as agreements between the main and the third party.
Despite the fact that the agent is not a party to the contract, in the event that the principal breaches it, the agent is not personally liable for any damages that follow from the breach.
So, the statement is false.
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can someone help me with this?
The estimate of number of cars with speed more than 85 is 25
How to find the estimate of number of cars with speed more than 85In the table, the frequency shows the number of cars with the range of speeds as in the first column
The number of cars with speed more than 85 will fall in the interval 80 < s ≤ 100, the number with speed more than 85 is 85 < s
The frequency of this interval 80 < s ≤ 100 is 25 and this is the estimate of the number of cars with speed ore than 85
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