Answer: 99 inches
Step-by-step explanation:
First multiply the whole number by 12 in which you would get 96. Then you would do 1÷4 which equals 0.25 and then multiply by 12 you would get 3. Lastly add them together and you get 99.
Here is the formula: A = ([w • 2] + [{n ÷ d} • ])
Square Room is 50M long, find the area of the room and the cost of carpeting. The floor at rupees 154 per square meter
Answer:
385000 rupees
Step-by-step explanation:
50x50 = 2500sq. m
2500 x 154 = 385000 rupees
Answer:
Here is your answer with solutions!
What is the perimeter of the larger triangles
Hallie and Mattie donated blue jeans to the clothing drive hallie donated 2 pairs of blue jeans. Mattie donated 6 pairs of blue jeans. Write a ratio to represent the relationship between hallies donation of jeans and Mattie’s donations of jeans
The ratio to represent the relationship between hallies donation of jeans and Mattie’s donations of jeans is 1:3.
Whet is the ratio to represent the relationship between hallies donation of jeans and Mattie’s donations of jeans?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
In this situation, Hallie donated 2 pairs of blue jeans. Mattie donated 6 pairs of blue jeans.
The ratio to represent the relationship between hallies donation of jeans and Mattie’s donations of jeans will be:
= 2/6
= 1/3
= 1:3
The ratio is 1:3.
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Answer:
1:2
Step-by-step explanation:
i took the test and its right :)
( sorry instead of 2 on the test it said 3 on mine, but if yours says 3 the answer is 1:2. i don't know the answer to 2 pairs of jeans)
please help QUICK i will make u brainliest
Answer:
1. 1.25 \(g/cm^{3}\)
2. 1.36 \(g/cm^{3}\)
3. 1.04 \(g/cm^{3}\)
4. 0.79 \(g/cm^{3}\)
Step-by-step explanation:
Density = Mass/Volume
1. 15g/\(12cm^{3}\) = 1.25 \(g/cm^{3}\)
2. 7.5g/\(5.5cm^{3}\) = 1.36 \(g/cm^{3}\)
3. 26g/\(25cm^{3}\) = 1.04 \(g/cm^{3}\)
4. 1350g/\(1700cm^{3}\) = 0.79 \(g/cm^{3}\)
Answer:
1. 1.25
2. 1.36
3. 1.04
4. 0.79
Find laplace transform l{e2−t u(t −2)}
The Laplace transform of the given function is L{ \(e^(2-t^)\) u(t-2)} = \(e^-^2^s\) * e² * (1/(s + 1)).
The Laplace transform L{ \(e^(2-t^)\) u(t-2)} can be found using the following steps:
1. Identify the function: f(t) = \(e^(2-t^)\) u(t-2)
2. Apply the time-shift property: L{ \(e^(2-t^)\) u(t-2)} = \(e^-^2^s\) * L{e² * \(e^-^t\) }
3. Calculate the Laplace transform: L{e² * \(e^-^t\) } = e² * L{ \(e^-^t\) }
4. Apply the formula: L{ \(e^-^t\) } = 1/(s + 1)
5. Multiply: \(e^-^2^s\) * e² * (1/(s + 1))
In this process, we first identified the given function and then applied the time-shift property to simplify it.
Next, we calculated the Laplace transform of the simplified function using the formula for the Laplace transform of an exponential function. Finally, we combined the results to obtain the Laplace transform of the original function.
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if you are working for $9 per hour, how much will you make for an 8-hour shift minus a 1-hour lunch period
Answer:
1hr = $9
7hrs = (9×7)
=$63
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY.
without using calculator prove that tan -1 1/11 +tan -1 5/6+tan -1 1/3+tan -1 1/2
We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)
To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.
Let's start by using the addition formula for the tangent function:
tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))
We can rewrite the given expression as:
tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)
Using the addition formula, we can combine the first two terms:
tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))
Simplifying further:
tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))
tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))
tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)
Using the same approach, we can combine the remaining terms:
tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))
tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))
tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)
Now, we have:
tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)
Using the addition formula again:
tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))
tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))
tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)
tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)
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in a blood testing procedure blood samples from 6 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 test posisitive is 0.11 what is the probability that the mixture will test positive
The probability that the blood sample mixture will test positive is 0.50.
Define the term independent events?If the outcome of the second occurrence is unaffected by the outcome of the first event, then the two occurrences are independent. The likelihood of both events happening if A & B are independent occurrences is the product of a probabilities of the single occurrences. P(A and B) equals P(A) .(B)For the stated question-
The likelihood that one sample will be negative is unrelated to the likelihood that the other samples will also be negative.
The chance of the 6 combined events, all of which are negative, is then equal as the product of a probabilities for every sample (each negative).
One sample being negative has a chance of 0.89 (1 - 0.11).
The total probability is hence (0.89)⁶ = 0.497 ≈ 0.50
Thus, the probability that the blood sample mixture will test positive is 0.50.
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Using eight bits representation, perform subtraction on the given numbers using the 2 's complement of the subtrahend. Where the result should be negative find its 2's complement and affix a minus sign to verify your answers. Please show all the necessary steps clearly. a. 42−18 b. 17-38
In the subtraction using 8-bit representation and 2's complement, the given numbers are converted to binary. The 2's complement of the subtrahend is found by inverting the bits and adding 1. The subtraction is performed by adding the minuend and the 2's complement of the subtrahend. If the result is negative, its 2's complement is taken to find the positive value. The final answer is obtained as the positive value with a minus sign if applicable.
a. To perform the subtraction 42 - 18 using 8-bit representation and 2's complement of the subtrahend:
Convert the numbers to their binary representation:
42 (decimal) = 00101010 (8-bit binary)
18 (decimal) = 00010010 (8-bit binary)
Find the 2's complement of the subtrahend (18):
Invert all the bits: 00010010 → 11101101
Add 1: 11101101 + 00000001 = 11101110
Perform the subtraction by adding the minuend (42) and the 2's complement of the subtrahend (-18):
00101010 (42) + 11101110 (-18's 2's complement) = 10011000 (-40 in decimal)
Since the result is negative (-40), we take its 2's complement to find the positive value:
Invert all the bits: 10011000 → 01100111
Add 1: 01100111 + 00000001 = 01101000 (40 in decimal)
Therefore, 42 - 18 = 40.
b. To perform the subtraction 17 - 38 using 8-bit representation and 2's complement of the subtrahend:
Convert the numbers to their binary representation:
17 (decimal) = 00010001 (8-bit binary)
38 (decimal) = 00100110 (8-bit binary)
Find the 2's complement of the subtrahend (38):
Invert all the bits: 00100110 → 11011001
Add 1: 11011001 + 00000001 = 11011010
Perform the subtraction by adding the minuend (17) and the 2's complement of the subtrahend (-38):
00010001 (17) + 11011010 (-38's 2's complement) = 11101011 (-21 in decimal)
Since the result is negative (-21), we take its 2's complement to find the positive value:
Invert all the bits: 11101011 → 00010100
Add 1: 00010100 + 00000001 = 00010101 (21 in decimal)
Therefore, 17 - 38 = -21, or in positive form, 21 with a minus sign (-21).
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Please help me solve this question in a different way.
I know one way of doing this question that is by using sin theta and cos theta. But I want to learn a new way to do this same question.
Answer:
(x/9)² +(y/3)² = 1 . . . P = (x, y)
Step-by-step explanation:
You want the equation of the locus of a point P that is 3 cm from the x-axis end of a 12 cm rod whose ends are on the x- and y-axes.
InterceptsLet the x- and y-intercepts of the rod ends be represented by 'a' and 'b', respectively. The fixed length of the rod tells us ...
a² +b² = 12²
according to the Pythagorean theorem.
Point PThe location of point P is 3/12 = 1/4 of the way from the x-intercept to the y-intercept. Its coordinates in terms of 'a' and 'b' are ...
P = 3/4(a, 0) +1/4(0, b) = (3a/4, b/4)
Equation of locusIf we define the point P as having coordinates (x, y), then we have ...
3a/4 = x ⇒ a = 4/3x
b/4 = y ⇒ b = 4y
Using these values in the above relation between 'a' and 'b', we have ...
(4/3x)² +(4y)² = 12²
We can divide by 12² to get the following equation of the ellipse that is the locus of P.
(x/9)² +(y/3)² = 1 . . . . . . useful domain/range: 0≤x≤9; 0≤y≤3.
a sample of 30 cereal boxes is taken. what is the best prediction for the number of boxes that contain more than 186 calories? 25% of all cereals have more than how many calories per serving? 25% of all cereals have fewer than how many calories per serving? what percent of all servings of cereal have between 172 and 197 calories? percent. what is the population standard deviation? how many standard deviations above the mean is the third quartile?
Using this mean number of calories, we can best predict that 25% of all cereals have more than this number of calories per serving, and 25% of all cereals have fewer than this number of calories per serving. To find the percent of all servings of cereal that have between 172 and 197 calories, we would use the z-score formula. Z = (x-mean)/standard deviation, where x is the number of calories (172 or 197).
The population standard deviation can be found using the formula s = sqrt[ (1/n) * (sum of (x-mean)^2)], where n is the sample size (30) and x is the number of calories for each cereal box.
Finally, to find the number of standard deviations above the mean that the third quartile is, we would use the formula
z = (Q3 - mean)/standard deviation, where Q3 is the third quartile.
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Ellen started playing a video game at 8:30 A.M. It took her 2 hours and 35 minutes to beat the first level and 1 hour and 30 minutes to beat the second level. Ellen played the final level for 25 minutes and finished the game. What time was it when Ellen stopped playing the game? ]
Answer:
1:00 PM
Step-by-step explanation:
8:30 AM + 2.35h + 1.30h + 25m = 1:00 PM
Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?
Answer:
9
Step-by-step explanation:
1.08 divided by 0.12 equals 9
the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
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what is this
Writing State the Pythagorean Theorem. Describe how you determine where
the lengths of the sides of a right triangle get substituted into the equation.
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…
Step-by-step explanation:
Answer: Hope This Helps!
Step-by-step explanation:
Pythagoras Theorem Statement Pythagoras theorem states that “ In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides “. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse.
Mathematics Grade 10 1.1 QUESTION 1 If A(x; -3), B(-1; 1) and C(3; 7) are collinear, calculate the value of x. If P(-2; y) is the midpoint of the line segment QR, where Q(3; -4) and R(x; -8), calculate the values of: 1.2 Test 5 3.2.1 y 3.2.2 x
The points A,B and C are collinear so the value of x is -11/3 and the value of y is 0 as calculated using the section formula for the midpoint of a line segment.
If three points are collinear then the slope between any two points on the line will be same.
Slope of AB = (1+3) / (-1-x) will be equal to slope of BC = (7-1) / (3+1)
Hence : (1+3) / (-1-x) = (7-1) / (3+1)
Now we will solve the linear equation to find the value of x .
4 / (-1-x) = 6 / 4
or, 16 = -6 (x+1)
or, 16 = -6x -6
or, 6x = 22
or, x = -11/3
Now using section formula for midpoint we get the coordinates of P and R.
\({\displaystyle P=\left({\frac {mx_{2}+nx_{1}}{m+n}},{\frac {my_{2}+ny_{1}}{m+n}}\right)}\)
Abscissae of R = x , hence
x+(-2) = 3×2
or, x = 8
Again the ordinate of P is y
∴y-8 = -4 × 2
or, y = 0
Hence the coordinates of P is (-2,0) and the coordinates of R is (8,-8)
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Determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
–x+y= –5
3x+5y=15
Answer:
(5, 0)
Step-by-step explanation:
The slope of the first line is -(-1 / 1) = 1.
The slope of the second line is -(3 / 5) = -3/5.
Since the lines have different slopes, they intersect at a single point. Therefore, there is only one solution. To find it, solve the system of equations.
Using elimination, multiply the first equation by 3 and add it to the second.
-3x + 3y = -15
3x + 5y = 15
-------------------
8y = 0
y = 0
Using substitution, find x:
-x + 0 = -5
x = 5
The solution is (5, 0).
Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discount?
Answer:
The total value of the discount was $10.80.
Step-by-step explanation:
Since we are finding the value of the discount, we just need to find 18% of 60.
We can convert 18% into a decimal.
18%=0.18
Multiply.
0.18*60=10.8
The total value of the discount was $10.80.
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
What are the 3 ways to name an angle?
There are three ways to name an angle--by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.
You can name a specific angle by using the vertex point, and three points on each of the angle's rays or by letter or number written. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size. Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.
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2. The city of Johnsonville was 1.5 inches of rain short of the normal amount for the year at the end of July. During the
month of August, the city received 0.9 inches of rain. Which number line shows how far the city's rainfall was from
normal?
Answer:
0.6 is the diference
Step-by-step explanation:
2. Use mathematical induction to show that n(n+1)(2n+1) is divisible by 6 for all positive integers n.
The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.
Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.
Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.
\(LHS = 1(1+1)(2*1+1) = 6\)
It is divisible by 6. Hence, the statement is true for n=1.
Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).
Step 3: We need to prove the statement is true for n=k+1.
So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6
Using the assumption we made in step 2.
\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)
Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.
So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.
Hence, the statement is true for n=k+1.
Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.
Hence, by mathematical induction, we can say that the statement is true for all positive integers n.
Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.
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Î"xyz was reflected over a vertical line, then dilated by a scale factor of one-half, resulting in δx'y'z'. which must be true of the two triangles? select three options. â–³xyz ~ â–³x'y'z' anglexzy ≅ angley'z'x' yx ≅ y'x' xz = 2x'z' mangleyxz = 2mangley'x'z'
The three true statements about the two triangles are:
- Î"xyz is similar to Î"x'y'z'
- Angle xzy is congruent to Angle y'z'x'.
- The length of yx is twice the length of y'x'
1. Î"xyz ~ Î"x'y'z': The two triangles are similar because the reflection preserves the shape and the dilation with a scale factor of one-half changes the size proportionally.
2. Angle xzy ≅ Angle y'z'x':
Since the triangles are similar, their corresponding angles are congruent.
The reflection and dilation transformations do not affect the angle measures.
3. yx = 2y'x':
Due to the dilation with a scale factor of one-half, the corresponding side lengths of the triangles have a ratio of 2:1. So, the length of yx is twice the length of y'x'.
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A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower. What is the length of the guy wire, rounded to the nearest foot? 20 ft 28 ft 49 ft 59 ft.
Answer:
(d) 59 ft
Step-by-step explanation:
In the geometric model of the problem, the guy wire is the hypotenuse of a right triangle, with the tower being one leg, and the distance along the ground from the tower being the other leg. The ground distance is "adjacent" to the angle of elevation, so the relevant trig function is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, gives ...
hypotenuse = adjacent/cos(α) = (34 ft)/cos(55°) ≈ 59 ft
The length of the guy wire is about 59 feet.
It cost Eva $7.80 to send 60 text messages. How much does each text cost to send?
15-point question. Pls help
Answer:
3/8
Step-by-step explanation:
There are 8 equal slices so each slice is 1/8th of the whole pizza
1/8+1/8=2/8 he ate right away
2/8+1/8 for what he ate before going to sleep
2/8+1/8=3/8
1. With the points
A(-4,-2) B(1, -3) C(2,-5) D(-1, 7).
What are the new points if the scale factor of dilation is 3?
Answer:
B': (-12,15)
Step-by-step explanation:
evaluate 7*2*7*5 using properties of numbers. Name the property used in each step.
The simplified expression of 7 * 2 * 7 * 5 is 490
How to evaluate the expression?The expression is given as
7*2*7*5
Rewrite the expression properly
This is done as follows
7 * 2 * 7 * 5
The factors of the expression have different basis
i.e. Basis = 7 , 2 and 5
This means that we cannot apply the law of indices
Solving further, we have the following equation:
7 * 2 * 7 * 5 = 7 * 2 * 7 * 5
Rearrange the factors
So, we have
7 * 2 * 7 * 5 = 7 * 7 * 2 * 5
Evaluate the products of 7 and 7 in the above equation
So, we have
7 * 2 * 7 * 5 = 49 * 10
Finally, we have
7 * 2 * 7 * 5 = 490
Hence, the simplified expression of the expression given as 7 * 2 * 7 * 5 is 490
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The simplified expression of the given 7 x 2 x 7 x 5 will be; 490
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7 x 2 x 7 x 5
Rewrite the expression properly as follows;
7 x 2 x 7 x 5
The factors of the expression have different basis that is;
Basis = 7 , 2 and 5
Thus we can't apply the law of indices
Solving further, we have the equation;
7 x 5 x 7 x 2 = 7 x 2 x 7 x 5
Rearrange the factors;
7 x 2 x 7 x 5 = 7 x 7 x 2 x 5
7 x 2 x 7 x 5 = 49 x 10
Finally, we have the following
7 x 2 x 7 x 5 = 490
Hence, the simplified expression of the given 7 x 2 x 7 x 5 will be; 490
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Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house
For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house is mathematically given as
Y = 1.33-0.667X and 5.3332
What is the number of kilowatt-hours, in thousands, for a six-room house?Generally, the equation for the standard deviation is mathematically given as
\(s\)ₓ =\(\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }\)
= \(\sqrt{\frac{66.9}{10-1} }\)
= 2.72
\(s_y\) = \(\sqrt{\frac{36.4}{10-1} }\)
= 2.01
therefore correlation coff
r = \(\frac{44.6}{(10-1)(2.72)(2.01)}\)
r = 0.9038
In conclusion the regression equation is given
b = r_sy/sx
b = (0.9038)(2.01/2.72)
= 0.667
intercept
a = 7.4-0.667(9.1)
a = 1.33
The regression equation is
Y = 1.33-0.667X
(b) number of kilowatts x = 6 house
Y = 1.33-0.667X
Y = 1.33-0.667(6)
= 5.3332
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