Answer:
1. first, add the amount of people who cannot swim. they need swim lessons.
2. add up the people in 5th grade who can swim and the people who cannot. same with the 4th graders.
4. the students that cannot swim, add up the 5th and 6ths graders that cannot swim.
5. add up all of the SOHO swimmers.
6. subtracts SOHO swimmers from swim academy.
set up an equation like this for #7
total number of students that can swim/ total amount of 5th graders = x/100
use the fraction on the left and multiply it by 100.
same with number 8
Step-by-step explanation:
Hank is working in a silver mine 10 feet below the surface. He descends until he reaches a point 57 feet below the surface. How many feet does Hank descend?
Answer:
he descends only 57 feet ,as the mine is 10 feet below the surface befor descending
Answer:
he descends only 57 feet ,as the mine is 10 feet below the surface befor descendingpartial quotients, 5,166÷.42?
4,200
5,000
840
420
This is the answer hope you understand it
Use the following study to answer the next four questions:
A company recently made a simple random sample of size n = 100 from all families in North Dakota. They found that 64% of the families in the sample eat dinner in front of a TV.
Question 2
1/1 pts
What is the population?
64% of the families eat in front of the TV
The people of North Dakota
The 100 families polled
The percentage of North Dakota families that eat dinner in front of the TV
Question 3
0/1 pts
What is the population parameter?
64% of the families eat in front of the TV
The people of North Dakota
The 100 families polled
The percentage of North Dakota families that eat dinner in front of the TV
The percentage of North Dakota families that eat dinner in front of the TV is the population parameter since it characterizes the behavior of the entire population.
The percentage of North Dakota families that eat dinner in front of the TV
Population is the complete set of individuals or items that you are concerned about.
It consists of all the members who meet a particular criterion, such as all North Dakotans.
Furthermore, in this scenario, the company made a simple random sample of size n = 100 from all families in North Dakota.
Therefore, the population of interest is the people of North Dakota.
On the other hand, the population parameter is a numerical measure that characterizes a particular aspect of the population.
"64% of families eat in front of the TV" is a statistic or percentage, not a population per se.
If the question specifically refers to all people in North Dakota, "North Dakota people" could be a population group.
"100 Families Surveyed" represents a sample that is a subset of the population, not the population as a whole.
"Percentage of North Dakota Families Eating Dinner in Front of the TV" represents a statistic or percentage. Not a population parameter.
Therefore, none of them directly represent the population itself or the population parameters, based on the choices given.
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The original price of a laptop was £200.
The price was reduced by 10% in a sale.
a) Work out 10% of the original price of the laptop.
b) Work out the sale price of the laptop.
Answer:
20
Step-by-step explanation:
200÷10=20
so the answer would be 20
Verifying the Pythagorean Theorem In Exercise, verify the Pythagorean Theorem for the vectors u and v. u = (4,2,-5), v = (2,-3, 1)
The Pythagorean Theorem for the vectors u and v,
we need to check whether the sum of the squares of their magnitudes equals the square of the magnitude of their sum (vector addition). The vectors u and v are given as:
u = \((4, 2, -5)\)
v = \((2, -3, 1)\)
First, let's find the magnitudes of u and v:
\(|u| = sqrt(4^2 + 2^2 + (-5)^2) = sqrt(16 + 4 + 25) = sqrt(45)\)
\(|v| = sqrt(2^2 + (-3)^2 + 1^2) = sqrt(4 + 9 + 1) = sqrt(14)\)
Next, we add the vectors u and v:
\(u + v = (4 + 2, 2 + (-3), -5 + 1) = (6, -1, -4)\)
Now, let's find the magnitude of the resulting vector (u + v):
\(|u + v| = sqrt(6^2 + (-1)^2 + (-4)^2) = sqrt(36 + 1 + 16) = sqrt(53)\)
Now we will verify the Pythagorean Theorem by checking if |u|^2 + |v|^2 = |u + v|^2:
\(|u|^2 = (sqrt(45))^2 = 45\)
\(|v|^2 = (sqrt(14))^2 = 14\)
\(|u + v|^2 = (sqrt(53))^2 = 53\)
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To make fuel for the main engines of a space shuttle,
102,619.377 kilograms of liquid hydrogen and
616,496.4409 kilograms of liquid oxygen are mixed
together in the external tank. How much fuel is
stored in the external tank?
Answer:
719,115.8179 kg
Step-by-step explanation:
102,619.377 + 616496.4409 = 719,115.8179kg
calculator
73 in = 0ft 0qt
ixl question help please
Answer:
6 ft 1 in
Step-by-step explanation:
if you divide 73in by 12 you get 6ft 1in
Find the slope and the equation of the tangent line to the graph of the function at the given value of x. y=x 4
−10x 2
+9;x=1 The slope of the tangent line is (Simplify your answer.) The equation of the tangent line is
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.
Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:
dy/dx = 4x^3 - 20x
To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:
dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16
Therefore, the slope of the tangent line is -16.
To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:
y - y(1) = -16(x - 1)
Expanding the equation and simplifying, we have:
y - y(1) = -16x + 16
Rearranging the equation, we obtain the equation of the tangent line:
y = -16x + (y(1) + 16)
To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.
In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.
The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.
To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.
Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
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the dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v(t) = 32,000 (0.78)^t
Find the value of the car after 7 years and after 13 years.
Round your answers to the nearest dollar as necessary.
The Value of the car after 7 years is approximately $8,096, and the value of the car after 13 years is approximately $3,008.
The exponential function given is:
v(t) = 32,000 * (0.78)^t
To find the value of the car after 7 years, we substitute t = 7 into the function:
v(7) = 32,000 * (0.78)^7
Calculating this expression, we get:
v(7) ≈ 32,000 * (0.78)^7 ≈ 32,000 * 0.253 ≈ 8,096
Therefore, the value of the car after 7 years is approximately $8,096.
the value of the car after 13 years. We substitute t = 13 into the function:
v(13) = 32,000 * (0.78)^13
Calculating this expression, we get:
v(13) ≈ 32,000 * (0.78)^13 ≈ 32,000 * 0.094 ≈ 3,008
Therefore, the value of the car after 13 years is approximately $3,008.
the value of the car after 7 years is approximately $8,096, and the value of the car after 13 years is approximately $3,008.
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Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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Take a factor out of each square root.
√17x² where x > 0
The factor of quadratic equation is x√17
What is quadratic equation?A quadratic equation is one that contains a second-degree polynomial. They are extensively utilized in a wide range of disciplines, including engineering, architecture, finance, biology, and, of course, mathematics.
Factoring is frequently the simplest way to solve a quadratic equation. Finding expressions that can be multiplied together to get the expression on one side of the problem is the process of factoring. A quadratic equation is represented as a product of linear terms if it can be factored.
First you need to find perfect square factors of 17
17 = 1*17
√17 = √1*√17 = 1√17 = √17
we had also √x² = x
So the answer is x√17
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Kate is politically conservative and carmine is politically liberal. both believe that those who believe as they do are more correct and more trustworthy those who believe otherwise. this belief best illustrates
The belief held by Kate and Carmine, where they both consider their own political ideology to be more correct and trustworthy than opposing ideologies, best illustrates a cognitive bias known as in-group bias or in-group favoritism.
In-group bias is a cognitive bias where individuals tend to favor and show preferential treatment towards members of their own group (in this case, individuals who share the same political ideology) while perceiving those outside the group as less favorable or less trustworthy. It is a common psychological phenomenon that can contribute to polarization and division in society, as individuals tend to emphasize and reinforce their own beliefs and viewpoints while dismissing or devaluing differing opinions.
This bias can arise due to various factors, such as a desire for social belonging and identity, the need for cognitive consistency, and the influence of societal and cultural factors that reinforce group identities and norms. In the case of Kate and Carmine, their belief that their own political ideology is more correct and trustworthy than opposing ideologies reflects their tendency to favor their in-group and view it in a more positive light.
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Name the types of angles shown.
G
F
Н
E
Answer:
obtuse acute straight obtuse
Step-by-step explanation:
a coordinate grid with 2 lines. the first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). the second line is labeled y equals negative startfraction 2 over 3 endfraction x plus startfraction 1 over 3 endfraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (startfraction 1 over 3 endfraction, 0). which is the approximate solution to the system y
We are given a coordinate grid with two lines. The first line is labeled y = 0.5x + 3.5 and passes through (-3,1), (-2.7,2.1), and (0,3.5). The second line is labeled y = (-2/3)x + (1/3) and passes through (-4,3), (-2.7,2.1), and (1/3,0).The approximate solution to the system of equations is the point of intersection between the two lines intersect at the point (-1,2)
We are to find the approximate solution to the system y. We can do this by graphing the two lines on the same coordinate grid and finding the point of intersection.
Graph of the two lines can be shown as below:
[Graph illustration showing the two lines intersecting]
We can see that the two lines intersect at the point (-1,2). Therefore, the approximate solution to the system y is (-1,2).
Therefore, the required is (-1,2).
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Answer: (2.7, 2.1)
Step-by-step explanation: took the test
Given L is between N and M, NL = 6x - 5, LM = 2x + 3, and NM = 4x + 9. Determine if L is the midpoint of segment MN. Justify your answer using sound mathematical reasoning.
Answer: L isn't the midpoint of segment MN.
Step-by-step explanation:
NL+LM=NM
6x-5+2x+3=4x+9
8x-2=4x+9
8x-2+2=4x+9+2
8x=4x+11
8x-4x=4x+11-4x
4x=11
Divide both parts of the equation by 2:
2x=5.5
NL=6x-5
NL=(2x)(3)-5
NL=(5,5)(3)-5
NL=16.5-5
NL=11.5
LM=2x+3
LM=5.5+3
LM=8.5
NL≠LM
Hence, L isn't the midpoint of segment MN.
In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.
We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.
NL = 6x - 5
LM = 2x + 3
The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.
Constructing the equation
6x - 5 = 2x + 3
Now, solve for x:
6x - 2x = 3 + 5
4x = 8
x = 2
As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:
NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7
LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7
The lengths of NL and LM are both 7 units.
Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.
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Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Using cosine we have\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Hope this helps you
NEED AN ANSWER NOW!
A coach asked her athletes if they enjoy running. Fifty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.
What is the total percentage of the athletes who enjoy cycling?
9%
25.5%
55%
74.5%
The total percentage of athletes who enjoy cycling is given by:
74.5%.
How to obtain a percentage?A percentage is the division of an amount by a total amount, which is then multiplied by 100%.
In this problem, the percentages are already given for the entire population.
The percentage of athletes who enjoy cycling is divided into two nodes, as follows:
Enjoy running.Do not enjoy running.The percentages associated from each node are given on the text as follows:
45% enjoy running, an of those, 80% enjoy cycling.55% do not enjoy running, and of those, 70% also enjoy cycling.Hence the proportion of athletes who enjoy cycling is given as follows:
0.45 x 0.80 + 0.55 x 0.70 = 0.745.
Then the percentage is of:
0.745 x 100% = 74.5%.
Which means that the last option is correct.
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which image shows a reflection?
Answer: A
Step-by-step explanation:
(3.65u − 11) − (−5 + 8.7u)
Answer:
73u/ - 11
Step-by-step explanation:
Answer:
-5.05. U -6
Step-by-step explanation:
Distribute the Negative Sign:=3.65u−11+−1(−5+8.7u)=3.65u+−11+(−1)(−5)+−1(8.7u)=3.65u+−11+5+−8.7uCombine Like Terms:=3.65u+−11+5+−8.7u=(3.65u+−8.7u)+(−11+5)=−5.05u+−6
The equation for picture D is 13 4/5 = w + 3 4/5. What is the solution? Write the number answer only. Please do not write the variable with it
Answer:
13 4/5 = 10 + 3 4/5
Step-by-step explanation:
b)
The length of the rectangle below is (2x - 1) cm and its width is (x + 3) cm.
(2x - 1)
(r + 3)
(i)
Write an expression in the form ax2 + bx + c for the area of the rectangle.
Given that the area of the rectangle is 294 cm?, determine the value of x.
(iii)
Hence, state the dimensions of the rectangle, in centimetres.
Answer:
i. 2x²+5x-3
ii. x=-27/2
iii. length of rectangle= 2x-11= 2*11-1=21cm
Step-by-step explanation:
i. ax²=bx=c
(2x-1) (x=3)
2x²=6x-x-3
=2x²=5x-3
the measure of the angle where line l meets line n is [ select ] degrees. the measure of the angle where line m meets line n is [ select ] degrees. because lines l and m are both [ select ] the same line n, that means lines l and m are [ select ] .
The measure of the angle where line l meets line n is unknown, as it is not mentioned in the question.
Unfortunately, the question does not provide any information about the measure of the angles where lines l and m meet line n.
Therefore, we cannot determine the specific degrees of these angles. However, we do know that lines l and m are not the same line but intersect line n.
This suggests that lines l and m are not parallel to each other. When two lines intersect, they form angles at the point of intersection. These angles can vary in measure depending on the specific geometric configuration. Without further information, we cannot determine the exact measure of these angles.
Similarly, the measure of the angle where line m meets line n is also unknown.
The fact that lines l and m both intersect with line n indicates that they are two distinct lines that intersect at a common point, creating a "V" shape. In other words, lines l and m are not the same line.
Therefore, the conclusion is that lines l and m are not parallel but intersect each other at line n.
Lines l and m are not parallel, but they intersect at line n. The measure of the angles where they intersect is not given in the question.
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A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated usi X
the origin as the center of dilation.
Which rule could represent this dilation?
A. (x,y) → (0.5 – x,0.5 - y)
B. (x,y) → (x - 7, y - 7)
C. (x,y) - (x, y)
D. (x,y) → (0.9x, 0.9y)
Answer:
D). (x, y) --> (0.9x, 0.9y).
Step-by-step explanation:
You multiply each coordinate to create a dilation . To get a smaller image the cinstant of multiplication is less than 1.
So it is D
Al considerar 52 m como la distancia entre dos puntos situados realmente 53.06 m
Which one of the following is a characteristic of the classical approach to probability? Oa. Probabilities are based on outcomes observed from past experiments.Ob. None of the aboveOc. Probabilities are based on opinion.Od. Probabilities assume outcomes of an experiment are equally likely
The characteristic of the classical approach to probability is that the probabilities assume outcomes of an experiment are equally likely , the correct answer is (d) .
The Classical Approach to probability is also known as the "classical method" .
The classical approach is based on the assumption that all outcomes of an experiment are equally likely to occur.
The probability of an event is then calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
This classical approach is often used in situations where the outcomes of an experiment can be clearly defined and enumerated.
Therefore, the correct statement about Classical Approach is in Option(d).
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The given question is incomplete , the complete question is
Which one of the following is a characteristic of the classical approach to probability?
(a) Probabilities are based on outcomes observed from past experiments.
(b) None of the above.
(c) Probabilities are based on opinion.
(d) Probabilities assume outcomes of an experiment are equally likely.
(10+12x)(15x+1) please help me
Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select
two options.
py
The vertex of the function is at (1.-25).
6
4
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-
4.
2-
-6
2
4
6
х
-2
-2
The graph is negative on the entire interval
4
4
6
Answer:
x-intercept(s):
( − 4 , 0 ) , ( 6 , 0 )
y-intercept(s):
( 0 , − 24 )
Step-by-step explanation:
The graph of the function f ( x ) = ( x + 4 ) ( x - 6 ) is plotted
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be represented as A
Now , the value of A is
f ( x ) = ( x + 4 ) ( x - 6 ) be equation (1)
On simplifying , we get
The graph of the function is plotted and it is increasing only on the interval -4< x < 6
And , the vertex of the function is at P ( 1 , -25 )
Therefore , the function is f ( x ) = ( x + 4 ) ( x - 6 )
Hence , the function is f ( x ) = ( x + 4 ) ( x - 6 )
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Please do this question in your copy, make a table like we made in class, scan it, and upload it BB. You have total 1 hour for it.
Alfalah Islamic Bank needed PKR 1500,000 for starting one of its new branch in Gulshan. They have PKR 500,000 as an investment in this branch. For other PKR 1000,000 they plan to attract their customers insted of taking a loan from anywhere.
Alfalah Islamic Issued Musharka Certificates in the market, each certificate cost PKR 5,000 having a maturity of 5 years. They planned to purchased 100 shares themselves while remaining shares to float in the market. Following was the response from customers.
Name Shares
Fahad 30
Yashara 50
Saud 20
Fariha 40
Younus 25
Asif 35
Alfalah Islamic planned that 60% of the profit will be distributed amoung investors "As per the ratio of investment" While the remaining profit belongs to Bank. Annual report shows the following information for 1st five years.
Years Profit/(Loss)
1 (78,000)
2 (23,000)
3 29,000
4 63,000
5 103,500
Calculate and Identify what amount every investor Investor will recieve in each year.
I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.
To calculate the amount received by each investor in each year, we need to follow these steps:
Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.
Year 1: 0 - (-78,000) = 78,000
Year 2: 0 - (-23,000) = 23,000
Year 3: 29,000
Year 4: 63,000
Year 5: 103,500
Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.
Year 1: 0.6 * 78,000 = 46,800
Year 2: 0.6 * 23,000 = 13,800
Year 3: 0.6 * 29,000 = 17,400
Year 4: 0.6 * 63,000 = 37,800
Year 5: 0.6 * 103,500 = 62,100
Calculate the profit share for each investor based on their respective share of the investment.
Year 1:
Fahad: (30/100) * 46,800
Yashara: (50/100) * 46,800
Saud: (20/100) * 46,800
Fariha: (40/100) * 46,800
Younus: (25/100) * 46,800
Asif: (35/100) * 46,800
Similarly, calculate the profit share for each investor in the remaining years using the same formula.
By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.
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You run a regression analysis on a bivariate set of data (n=64). You obtain the regression equation y=1.446x−46.325 with a correlation coefficient of r=0.327 (which is significant at α=0.01 ). You want to predict what value (on average) for the explanatory variable will give you a value of 70 on the response variable. What is the predicted explanatory value?
The predicted explanatory value that, on regression analysis on average, corresponds to a value of 70 on the response variable is approximately 80.47.
The regression equation y=1.446x−46.325 can be used to predict the response variable y based on the explanatory variable x. In this case, we want to find the predicted value of the explanatory variable that corresponds to a value of 70 on the response variable.
To find the predicted explanatory value, we need to rearrange the regression equation to solve for x. We can start by substituting y=70 into the equation:
70 = 1.446x - 46.325
Next, we can isolate x by adding 46.325 to both sides of the equation:
70 + 46.325 = 1.446x
Simplifying:
116.325 = 1.446x
Finally, divide both sides of the equation by 1.446 to solve for x:
x ≈ 80.47
Therefore, the predicted explanatory value that, on average, corresponds to a value of 70 on the response variable is approximately 80.47.
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how many degrees does the minute hand of a clock turn in 45 minutes
The clock minutes rotate 270 degrees in 45 minutes.
How to calculate the angular size of a clock's handsWhile rotating, the clock's hands are seen to move at a speed of six degrees per minute.
The number of degrees for a clock minute is solved by
60 minutes = 360 degrees
1 minute = ?
cross multiplying
60 * ? = 360
? = 360 / 60
? = 6
hence 1 minute is 6 degrees
The formula to use to get the calculation is multiplying the number of minutes by 6
Number of degrees in 45 minutes = 45 * 6
Number of degrees in 45 minutes = 270 degrees
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