Hi!
I'm assuming the question means what integers, so let's figure it out.
Starting from 12, 12 squared is 144, or the square root of 144 is 12.
13 squared is 169, or the square root of 169 is 13.
14 squared is 196, or the square root of 196 is 14.
15 squared is 225, or the square root of 225 is 15.
Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.
A city has 5 cm of snow on the ground before a snow storm. During the storm,
What are the domain and range of the linear function shown below?
Answer:
ffffffffffffffffffffffffffffffffffffffffeesf ea a
Step-by-step explanation:
The hiking club plans a 45-mile hike. They will hike 7.5 miles each day. This equation represents the number of miles remaining to hike after each day of hiking.
m=45−7.5d
The equation m=45-7.5d is a useful tool for the hiking club to track their progress and know how many miles they have left to hike after each day of hiking.
The equation m=45-7.5d represents the number of miles remaining to hike after each day of hiking for the hiking club that is planning a 45-mile hike.
In this equation, m represents the remaining miles to hike, d represents the number of days of hiking completed, and 7.5 represents the number of miles hiked each day.
Using this equation, we can easily calculate the number of miles remaining to hike after each day of hiking. For example, after one day of hiking (d=1), the number of miles remaining to hike would be:
m = 45 - 7.5(1)
m = 37.5
This means that after the first day of hiking, the group still has 37.5 miles left to hike.
Similarly, we can calculate the number of miles remaining after each subsequent day of hiking.
After two days of hiking (d=2), the equation would be:
m = 45 - 7.5(2)
m = 30
So after two days of hiking, the group would have 30 miles left to hike.
In the equation m = 45 - 7.5d:
"m" represents the number of miles remaining to hike after "d" days of hiking.
"45" represents the total distance of the hike.
"7.5" represents the number of miles hiked per day.
To understand how this equation works, you can think about it this way:
On the first day of hiking (d=1), they will have hiked 7.5 miles, so the number of miles remaining will be 45 - 7.5(1) = 37.5 miles.
On the second day of hiking (d=2), they will have hiked another 7.5 miles, so the number of miles remaining will be 45 - 7.5(2) = 30 miles.
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Identify the index in the radical below.
Answer: 3
Step-by-step explanation:
The index is the number that multiplies with the radicand. The radicand in this equation is 6 and 3 is the index.
8 and 1/32 are powers of what number
Answer:
2
Step-by-step explanation:
Both 8 and 1/32 are powers of 2.
2³ is 8, since 2*2*2=8.
2^-5 is 1/32.
2^5 is 2*2*2*2*2, and the negative sign in front of the 5 flips the answer to be 1/32
Somebody help please I don’t understand!!
Answer:
1) y=0.56x
2)y=5x
3)y= 0.25x
Step-by-step explanation:
1) 2.24/4 = $0.56 (Cost per carton)
2) 15/3=5 ( miles ran per hour)
3) 3/12 = 0.25 (cost per ounce)
Solve each system to find the answer
Given:
The system of equations is
\(5g+4k=10\)
\(-3g-5k=7\)
To find:
The solution of given system of equations.
Solution:
We have,
\(5g+4k=10\) ...(i)
\(-3g-5k=7\) ..(ii)
Multiply (i) by 5 and (ii) by 4.
\(25g+20k=50\) ...(iii)
\(-12g-20k=28\) ..(iv)
Adding (iii) and (iv), we get
\(25g-12g=50+28\)
\(13g=78\)
Divide both sides by 13.
\(g=\dfrac{78}{13}\)
\(g=6\)
Put g=6 in (i).
\(5(6)+4k=10\)
\(30+4k=10\)
\(4k=10-30\)
\(4k=-20\)
Divide both sides by 4.
\(k=-5\)
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The value of x of the parallelogram is x = 38
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the diagonals of the parallelogram are AC and BD
The measure of DE = 31
The measure of EB = x - 7
Now , Each diagonal of a parallelogram separates it into two congruent triangles where the measure of AC = BD
So , substituting the values in the equation , we get
BD = BE + DE and BE = DE
On simplifying the equation , we get
31 = x - 7
Adding 7 on both sides of the equation , we get
x = 31 + 7
x = 38
Hence , the measure of x of parallelogram is 38
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(First-price procurement auction) We are used to auctions in which there is a single seller facing many potential buyers (i.e., the bidders). However, in many situations we have a single buyer who wants to buy a good (or service) from one of many sellers. In these situations, the buyer may want to run an auction. These are called procurement (or reverse) auctions and are very common both in the public and private world. In a procurement auction, sellers bid for the price at which they are willing to sell their item (or service). In this context, it is natural to talk about a bidder's cost (to provide a service or good) instead of a bidder's valuation. Let's consider a concrete example. Suppose your parents want to remodel their kitchen. They call two contractors (A and B) and ask them for quotes. Your parents tell them that they are going to run a sealed-bid first-price auction. That is, the contractors should email them their quotes, the contractor with the lowest quote wins, and gets paid her quote. Suppose that the contractors are symmetric and have private costs, and that their costs are independently drawn from a Uniform [0,1] distribution. In this simple 2-bidder procurement auction, the bidding strategy β ∗
(c)= 2
1
(1+c) is a (symmetric) Bayesian Nash Equilibrium. That is, in equilibrium, it is optimal for a contractor who anticipates a cost of completing the project of c to submit a quote equal to 2
1
(1+c) (a) If bidders follow the equilibrium bidding strategy, do they bid above or below their cost? How do you interpret the difference between a contractor's quote and their cost? (b) Write down the expression for the probability of contractor A winning when she submits a quote equal to b and contractor B submits a quote according to the equilibrium bidding function β ∗
(⋅). (c) Write down the expression for contractor A's expected payoff when she has a cost of completing the project equal to c and submits a quote equal to b, and her rival bids according to the equilibrium strategy β ∗
(⋅). (d) Show that the bidding strategy β ∗
(c)= 2
1
(1+c) is in fact a (symmetric) Bayesian Nash Equilibrium.
(a) In the equilibrium bidding strategy, bidders bid below their cost. The difference between a contractor's quote and their cost represents their strategic behavior in the auction.
By bidding below their cost, contractors try to increase their chances of winning the auction and securing the project.
This strategy allows them to potentially earn a higher profit if they win the auction and their cost turns out to be lower than their bid.
(b) The probability of contractor A winning when she submits a quote equal to b and contractor B submits a quote according to the equilibrium bidding function β(⋅) can be calculated as follows:
P(A wins) = P(A's bid ≤ B's bid)
Since the contractors' costs are independently drawn from a Uniform [0,1] distribution, the probability can be expressed as:
P(A wins) = P(A's cost + A's bid ≤ B's cost + B's bid)
Given that A's bid is b and B's bid is β∗(B's cost), the probability becomes:
P(A wins) = P(A's cost + b ≤ B's cost + β∗(B's cost))
(c) Contractor A's expected payoff when she has a cost of completing the project equal to c and submits a quote equal to b, while her rival bids according to the equilibrium strategy βx(⋅), can be calculated as follows:
Payoff(A) = P(A wins) × (b - c)
Using the probability expression from part (b), the expected payoff can be written as:
Payoff(A) = P(A's cost + b ≤ B's cost + βx(B's cost) × (b - c)
(d) To show that the bidding strategy βx(c) = 2/(1+c) is a (symmetric) Bayesian Nash Equilibrium, we need to verify two conditions:
(i) the strategy is optimal for a contractor given the strategies of other bidders, and
(ii) no bidder has an incentive to deviate from the equilibrium strategy.
(i) Optimality: Given the bidding strategy βx(c) = 2/(1+c), a bidder's expected payoff is maximized when they follow this strategy. This can be shown by calculating the expected payoff for a bidder who anticipates a cost of completing the project as c and submits a quote equal to βx(c). The expected payoff is maximized when the bidder follows the equilibrium strategy.
(ii) No incentive to deviate: Suppose a bidder deviates from the equilibrium strategy and chooses a different bidding strategy. In this case, the bidder's expected payoff would be lower than or equal to the expected payoff obtained by following the equilibrium strategy. Therefore, no bidder has an incentive to deviate from the equilibrium strategy, indicating that βx(c) = 2/(1+c) is a Bayesian Nash Equilibrium.
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Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
\( \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}\)
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
If \text{m}\overset{\Large\frown}{DR} = 34^{\circ}m DR ⌢ =34 ∘ and \text{m}\overset{\Large\frown}{SV} = 94^{\circ}m SV ⌢ =94 ∘ , find \text{m}\angle Lm∠L
The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.
In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.
Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘
To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘
Therefore, the measure of angle L is 64 degrees.
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your annual caseloads for 1994 and 1995 were 750 and 820, respectively. the percent change from 1994 to 1995 would be computed by which of the following methods?
The percent change from 1994 to 1995 can be computed by which of the following methods.
The percent change from 1994 to 1995 would be computed by the following
Formula: Percent Change = ((New Value - Old Value) / Old Value) x 100Where,
Old Value = Annual caseloads in 1994 = 750
New Value = Annual caseloads in 1995 = 820
Let's put these values into the formula and calculate the percent change.
Percent Change = ((820 - 750) / 750) x 100
Percent Change = (70 / 750) x 100
Percent Change = 0.093 x 100
Percent Change = 9.3%
Therefore, the percent change from 1994 to 1995 would be 9.3%.
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f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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Help me pls I don't get it
Answer:
maybe A
Step-by-step explanation:
Find Slope Intercept Form using points (-3,3) and (3,-1) *
Answer: y=-.667x+1
Step-by-step explanation:
1. Firstly, substitute the coordinates of the two points into the slope intercept equation:
(1) y₁ = mx₁ + b
(2) y₂ = mx₂ + b
2. Then, subtract the first equation from the second:
y₂ - y₁ = m(x₂ - x₁)
3. Finally, divide both sides of the equation by (x₂ - x₁) to find the slope:
m = (y₂ - y₁)/(x₂ - x₁)
4. Once you have found the slope, you can substitute it into the first or second equation to find the y-intercept:
y₁ = x₁(y₂ - y₁)/(x₂ - x₁) + b
b = y₁ - x₁(y₂ - y₁)/(x₂ - x₁)
can someone help me pls for 50 pts
Answer:
62 square units
Step-by-step explanation:
Area = 2(lb+lh+bh)
= 2(3×2+3×5+2×5)
= 62
The solid represented by the net is a rectangular prism.
And, The surface area of the solid is , 62.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The solid represented by the net.
Here, We know that;
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.
Hence, The solid represented by the net is a rectangular prism.
Here, The length of the rectangular prism (l) = 5
The width of the rectangular prism (w) = 2
The height of the rectangular prism (h) = 3
We know that;
The surface area of the rectangular prism = 2 (wl + hl + hw)
Substitute all the values, we get;
The surface area of the rectangular prism = 2 (2×5 + 3×5 + 3×2)
The surface area of the rectangular prism = 2 (10 + 15 + 6)
The surface area of the rectangular prism = 2 × 31
The surface area of the rectangular prism = 62
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What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
Match each cross section with its perimeter. a cross section parallel to the base of a right rectangular prism that is 10 inches long, 3 inches wide, and 14 inches high a cross section perpendicular to the base of a cube with 12-inch edges a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 5 inches long, 12 inches wide, and 4 inches high and measures 13 inches along the diagonal of the base a cross section parallel to the base of a cube whose edges are 16 inches each Perimeter Cross Section 64 inches arrowBoth
the required perimeters are 26 inch, 48 inch, 34 inch and 64 inch respectively.
What is the perimeter?Perimeter, is the measure of the figure on its circumference.
1. perimeter for a cross section parallel to base of right rectangular prisms that is 10 inches long, 3 inches wide and 14 inches high:
length = 10 inches and width = 3 inch
The perimeter of that cross section is given by.
= 2 x length + 2 x width
= 2 x 10 + 2 x 3
= 20 + 6
= 26 inches
2. perimeter of cross section perpendicular to the base of a cube with 12 inch edge is given by.
= 4 x length
= 4 x 12
= 48 inches
3. perimeter of a cross section perpendicular to the base and passing through the diagonal of the base the right rectangle is given by.
length = 5; width = 12; height = 4; diagonal = 13;
perimeter = 2 x height + 2 x diagonal
= 2 x 4 + 2 x 13
= 34 inches
4. perimeter of a cross section of a cube having edges of 16 inches each.
perimeter = 4 x edge
= 4 x 16
= 64
Thus, The required perimeter of the cross section are 26, 48, 34, 64 all in inches.
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I need answers for this question
The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.
Given: 3 \(\leq\) x - 2
We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x
Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.
Therefore, the correct option is (E) A number line going from positive 5 to positive 10. We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.
Hence, option E is correct.
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verify that the following equation is an identity. (sinx cosx)^2=sin2x 1
The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.
Simplify LHS and RHS?
To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.
Starting with the left side of the equation:
\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)
Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:
\(sin(2x) = 2sin(x)cos(x)\)
Substituting this into the equation, we have:
\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)
Next, we can simplify the left side of the equation:
\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)
Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:
\((sin(x)cos(x))^2 = sin(2x)\)
Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.
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suppose you have randomly selected high school students to take a course to improve their sat scores. you find that the mean of their sat scores is not significantly different from the population mean of sat scores for those students who have not taken the course. which of the following statements is the most appropriate conclusion? group of answer choices there is not enough evidence to conclude that the course improves sat scores. we have obtained evidence consistent with the notion that the course has an effect on sat scores. the evidence suggests that the course may have an effect on sat scores. we have proven that the course does not affect sat scores.
The most appropriate conclusion is: There is not enough evidence to conclude that the course improves SAT scores.
When conducting a hypothesis test, we start with a null hypothesis that assumes there is no difference or no effect between two groups or variables. In this case, the null hypothesis would be that the mean SAT score of students who took the course is not significantly different from the mean SAT score of students who did not take the course.
We then collect data and calculate a test statistic (such as a t-statistic) and a p-value. The test statistic measures the difference between the sample means and tells us how far apart they are in standard deviation units. The p-value measures the probability of observing the test statistic or a more extreme value if the null hypothesis is true.
If the p-value is smaller than the chosen level of significance (usually 0.05 or 0.01), we reject the null hypothesis and conclude that there is enough evidence to suggest that the two means are significantly different. If the p-value is larger than the chosen level of significance, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the two means are significantly different.
In this scenario, if the mean of the SAT scores of students who took the course is not significantly different from the mean of the SAT scores of students who did not take the course, it means that we failed to reject the null hypothesis. Therefore, we cannot conclude that the course has an effect on SAT scores. We can only say that there is not enough evidence to suggest that it does.
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3/8 x (1 - 1/3) (don’t answer the equation write the equation in word form)
Answer:
three-eighths multiplied by the difference of one and one-third.
Step-by-step explanation:
Convert equation to words
3/8 = three-eighths
x = multiplied
1 - 1/3 = difference of one and 1/3
If my answer is incorrect, pls correct me!
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The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number
and let b represent the second number. What are the two numbers? Use the table to answer the question
Numbers
a
b
a+b - 24
Check
ba+4
8
16
14
10
11
15
24
24
24
13
9
24
8 and 16
10 and 14
11 and 13
15 and 9
Answer:
a=10, b=14
Step-by-step explanation:
a+b = 24
b=a+4
a+(a+4)=24
2a+4=24
2a=20
a=10
b=14
1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.4 feet long, if the remaining piece needs to be 1.17 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
2.) You are looking at your power bill for the month, you pay 13 cents per kilowatt-hour. Your power bill came out to $83.96 homes many KWH of energy were used in your house this month?
3.) you were looking at your power bill for the month, you pay nine cents per kilowatt hour. Running a 60 W lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 5 lightbulbs in it how much would that cost in a 30 day month? answer in the form of $2.54 without the dollar sign
Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.
1) L = 4.4 ft
2) This month you used 645.85 KW-h in your home.
3)Cost = $19.44
1) You will buy a board of length L.
You will cut two pieces that are 1.4 ft long.
So at this point, the length of the board piece is:
L - 1.4ft - 1.4ft = L - 2.8ft.
Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:
L - 2.8ft. = 1.17*(1.4ft) = 1.638ft
L = 1.638ft + 2.8ft = 4.438ft
Rounding to the nearest tenth, we get:
L = 4.4 ft
This is the length of board you should buy.
2) Here we know:
You pay $0.13 per KW-h
This month, you pay a total of $83.96
The total number of KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:
N = $83.96/$0.13 = 645.85
This month you used 645.85 KW-h in your home.
3) Here we know:
You pay $0.09 per KW-h.
Running the bulb for one hour consumes 0.06 KW-h
So, if you leave one of these lights on all day (24 hours) it would consume:
24*0.06 KW-h = 1.44 KW-h
If you instead leave 5 of these bulbs, you will consume 5 times that amount:
5*1.44 KW-h = 7.2 KW-h
This is in one single day, if you do this for 30 days, the total consumption is:
30* 7.2 KW-h = 216 KW-h
And you pay $0.09 for each one of these, then the cost is 216 times $0.09
Cost = 216*$0.09 = $19.44
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Answer:
This will help for more:
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Step-by-step explanation:
k12
Consider the distribution of exam scores for the first exam within a college course. If the set of exam forms is symmetrical distribution, what can be concluded about the student's scores?
a) a substantial number of students had high scores
b)About an equal number of students had relatively high and relatively low scores
c)most had low scores
A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.
Correct answer will be b) About an equal number of students had relatively high and relatively low scores.
And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.
This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.
In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.
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it was noted that the probability of a flight arriving early is 1/10 and the probability of a flight arriving late is 2/5
Calculate the probability that for two successful flights, one is late and the other is early
what is the slope if a line passes through the points (28,86) and (34,83)
Answer:
The slope is -0.5 or -1/2
Step-by-step explanation:
the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.
A study of the amount of time it takes a specialist to repair a mobile MRI shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 32 broken mobile MRIs are randomly selected, find the probability that their mean repair time is less than 8.9 hours.
Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).In this problem, the parameters are given as follows:
\(\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182\)
The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{8.9 - 8.4}{0.3182}\)
Z = 1.57
Z = 1.57 has a p-value of 0.9418.
1 - 0.9418 = 0.0582.
0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
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