Answer:
1) x=45
2) x=25
Step-by-step explanation:
1) I'm assuming that they're vertical angles and are equal
2x + 6 = 96
2x = 90
x = 45
2)
180 - 40 - 75= 65
4x + 15 + 65 = 180
4x + 80 = 180
4x = 100
x = 25
Find the sum of (–8 + 3i) and (3 – 7i). Group of answer choices –11 - 4i –5 - 4i –5 + 4i –11 - 10i
Answer:
-5 — 4i
Step-by-step explanation:
-8 + 3 = -5
3i — 7i = -4i
In a systematic random sample of size n
drawn from a population of size N, how many random numbers need to be generated to identify those subjects who are included in the sample?
n
N/n
N-n
1
n-1
Number of random numbers that is need to be generated to identify those subjects who are included in the sample is option (a) n
To select a systematic random sample, we need to randomly select a starting point within the population, and then select every kth element thereafter, where k is the sampling interval. The value of k can be calculated as:
k = N/n
So, to identify the subjects who are included in the sample, we only need to generate one random number to select the starting point, and then add k to it to identify the next sample element. We can continue this process until we have identified all the n sample elements.
Therefore, the number of random numbers needed to identify those subjects who are included in the sample is 1, plus the number of times we need to add k to the starting point to identify all n sample elements. This is:
1 + (n-1) = n
Therefore, the correct option is (a) n.
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Consider a process that makes high-end boards that get mounted
on skateboards. The process starts with a unit cost of $13 for the
first unit, i.e., c(1) = 13, and has a learning rate of LR = 0.90.
Wha
The estimated cost of producing the 15th unit is $10.30.
Given the following information about a process that makes high-end boards that get mounted on skateboards:Process starts with a unit cost of $13 for the first unit. Learning rate of LR = 0.90.
Solution :Let's use the learning curve formula to calculate the estimated cost of producing the 15th unit.C = a * N^b .Where:
C = cost per unit ,N = cumulative production volume, a = the unit cost of the first unit, b = log(LR) / log(2) = log(0.90) / log(2) = -0.152N = 15a = 13 (given)
Now, b = -0.152
Therefore ,C = 13 * (15)^(-0.152)C = 13 * 0.789C = 10.3 dollars.
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Find the vaue of segment ab with a radius of 10
Answer:
We need to find the value of r. ... 6. radius 2V3. 7. radius. 8. radius who. 8. tadine V10. 9. containing the point (3, 4) ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter.
Please help!!!
Graph and label each figure and it’s image under a dilation with the given scale factor.
The new coordinates after the scale factor comes into the scenario is:
1. (-12,3), (-6,9), (0, -6), (-15, -6)
2. (1, -4), (6,4), (7, -2)
3. (4,3), (12,12), (12,8), (4,8)
4. (3, -6), (9, -3), (15, -6), (9, -9)
5. (-14, -8), (-8, -6), (-6, -12), (-12, -14)
6. (-1,3), (2,2), (2,1), (-1,0)
Why do you use the term dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term for a reduction in size.
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Which situation can be modeled by the inequality m > 225? A. The community theater's auditorium can seat at most 225 people. B. The number of people who attended the mathematics conference was more than 225. C.The students need to raise at least $225 in order to pay for the bus ride to go on a field trip. D. The distance Deshawn must travel from his house to reach the Gulf Coast is less than 225 miles.
Answer:
B. The number of people who attended the mathematics conference was more than 225.Step-by-step explanation:
Given the inequality m > 225, the inequality means that m is greater than 225. Since the inequality sign does not include equal to sign, then the value of m cannot be less than and equal to 225. The situation that best fits the expression based on the explanation above is "The number of people who attended the mathematics conference was more than 225"
Emphasis should be on 'WAS MORE THAN' according to the statement. The greater sign means that the number of people will always be greater than or more than 225 representing the variable m as the number of people.
Which expression is equivalent to the square of the quantity 4x plus 8?
A. 8x+16
B. 16x²+64
C. 16x²+24x+64
D. 16x²+64x+64
The expression (4x+8)² is equivalent to 16x²+64x+64 i.e.D.
What are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression is (4x+8)²
=(4x)²+8²+2*4x*8 As ((a+b)²=a²+b²+2ab)
=16x²+64+64x
hence,
(4x+8)² is equivalent to 16x²+64x+64.
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A group of employees were asked whether they drive or walk to work.
The table shows the probabilities of results.
Drag a response to each box to correctly complete each statement.
The probability of a female employee driving to work is 0.192, or 19.2%.
To determine the probability of a female employee driving to work, we need to find the intersection of the categories "female" and "drive" in the given table.
From the table, we have the following probabilities:
P(female) = 0.4 (probability of being female)
P(drive) = 0.48 (probability of driving to work)
P(female and drive) = ? (probability of being female and driving to work)
We can calculate the probability of being female and driving to work by multiplying the individual probabilities:
P(female and drive) = P(female) * P(drive) = 0.4 * 0.48 = 0.192
Therefore, the probability of a female employee driving to work is 0.192, or 19.2%.
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Based on the following, how much should Ben Brenner include in income in his federal income tax return?Jury awarded punitive damages $10,000, Kickbacks on sale of goods (not treated as a reduction elsewhere), 5,000 Money borrowed from a bank 8,000 Increase in the value of an asset 1,000a.$15,000b.$16,000c.$24,000d. $10,000e.$23.000
Based on the information given, Ben Brenner should include $16,000 in income on his federal income tax return. This includes the $10,000 awarded in punitive damages, $5,000 in kickbacks on the sale of goods, and $1,000 increase in the value of an asset. The money borrowed from the bank is not considered income for tax purposes.
Based on the given information, Ben Brenner should include the following amounts in his income for his federal income tax return:
1. Jury awarded punitive damages: $10,000
2. Kickbacks on the sale of goods: $5,000
The money borrowed from the bank ($8,000) is not considered income, and the increase in the value of an asset ($1,000) is also not taxable until the asset is sold.
So, the total amount to include in his income for the federal income tax return would be:
$10,000 (punitive damages) + $5,000 (kickbacks) = $15,000
Therefore, the correct answer is option a. $15,000
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4n=100 what is the value of n
Answer:
n=25
Step-by-step explanation:
100 divided by four=25
a numerical measure computed from a sample, such as sample mean, is known as a . a. population parameter b. sample statistic c. population statistic d. sample parameter
A numerical measure computed from a sample, such as sample mean, is known as Sample statistic
What is Statistic?
The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
A sample statistic is a metric that is calculated from a sample, such as sample mean. A population parameter is a numerical measure derived from a population, such as a mean.
Any value calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data gathered through random sampling, which is a random experiment, it is a random variable.
Hence, A numerical measure computed from a sample, such as sample mean, is known as Sample statistic
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Frequent food questionnaires (FFQ) are a simple way to obtain information on the foods individuals consume by asking them questions about typical amounts of food consumed in a day or week or month. A more accurate picture is obtained by obtaining a detailed food diary (DR) for several days, randomly chosen over a certain time period. The data obtained from a frequent food questionnaire can be compared with the food diary to assess the validity of the questionnaire. The correlation between alcohol consumption from the food questionnaire and diary was r = 0.89 based on seven individuals. Based on the seven individuals for whom data is available, which statement is INCORRECT?DR8.26FFQ1.680.83020.1315.111.167.497.1812.841.76022.6625.06All of the answer options are correct.Because r > 0, the amount that is truly consumed is always larger than what is stated on the FFQ.Typical consumption as stated on a FFQ is positively associated with what is actually consumed.The FFQ is a reasonable tool to obtain information on the amount of alcohol consumed by individuals.
The amount the is truly consumed is always larger than what is stated on the FFQ. Hence, it is the incorrect statement for the indicated correlation.
What is correlation?
To represent the relationship between continuous variables, correlation is utilized. A numerical value called the correlation illustrates the connection between two variables. The sign affects the kind of relationship that exists between the variables. A direct or positive association would result if the sign is positive. It would be detrimental otherwise.
The correlation is a number which indicates relationship between two variables.
A correlation is used to test the relationship between continuous variables.
A correlation coefficient has a value between -1 and 1 this means there is a perfect negative or positive correlation. These are very high correlation examples.
A positive correlation does not imply that what is truly consumed is always larger than what is stated on the FFQ.
A positive correlation coefficient only implies that with a change in diary readings, the food questionnaire reading will also change in the same manner.
However, this does not reflect anything on the true consumed values and therefore, it cannot be judged whether the truly consumed amount will be larger or not.
The provided options are analyzed by the fact that the positive correlation means the change in the variables is direct rather than indirect.
The positive correlation means the direct change in the variables. Hence, the option is an incorrect one.
The correlation only represents whether the two variables have a positive or negative relationship. It does not tell anything about whether one value is greater or not.
Since, r > 0 the amount the is truly consumed is always larger than what is stated on the FFQ.
Hence, it is the incorrect statement for the indicated correlation.
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jessie and casey are getting married. in how many ways can a photographer at their wedding arrange six people in a row from a group of 10 people, where the spouses are among these 10 people, and satisfy the given conditions?
The number of ways to pick 6 people from a group of 10 so that the bride and groom must be next to each other is 8!4!4!⋅5!⋅2!
We can reduce your problem to a simpler one, as you claim that the bride must be in the picture. Now you have to select 5 people out of 9.
It's just 9!4!5!
Now it's just a matter of choosing the participants of the picture. Since there are 6 people in the picture, you can arrange 6 of them! ways. This leaves the total number of possible combinations 9!4!5!⋅6!
I would also like to discuss another possible option of 6 people from a group of 10 where 2 of the 6 must be the bride and groom and must be next to each other. I can see it coming in a similar situation.
This has a familiar beginning. We already know 2 of the 6 people, so only 4 left to choose from the remaining 8. This is given by 8!4!4!.
Now we need to permute the group of 6 participants. One would like to say that this is simply a 6! like the first problem, but it's a little different. Remember that the bride and groom must be next to each other. You can basically think of these two people as one person.
So the actual number of ways to permute this group of 6 people with a constraint is 5! . There is one more condition. If you don't subscribe to the opinion that the groom must always be on the left (facing the couple), you have two options to arrange our couple.
The number of ways to pick 6 people from a group of 10 so that the bride and groom must be next to each other is 8!4!4!⋅5!⋅2!
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The quotient of s and 5
Answer:
ead the excerpt from "The Most Dangerous Game,” by Richard Connell.
His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.
Which analysis best explains the effect of adding the female character
Step-by-step explanation:
Answer:
s/5
Step-by-step explanation:
its s/5 because the letter is always on top and yea..
find the angle of x. help
Answer:
110
Step-by-step explanation:
\(180 - 60 - 50 = 70\)
\(180 -70 = 110\)
Answer:
110
Step-by-step explanation:
Add the two other angles 60+50 and you get 110, which is also the angle measure of the exterior angle.
Find the distance between the two points in simplest radical form.
(1,8)(6,-4)
how is 15×3/5 = 9
the slash is for the fraction
Answer:15x3 /=divide 5 = 9
Step-by-step explanation:
because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!
What is the solution to this equation x-16=9
Answer:
\(x=25\)
Step-by-step explanation:
\(x-16=9\\x=9+16\\x=25\)
Hope it helps
Please help me please, write a correct answer and please write short answer
INTEGERS
Adding and Subtracting Positive and Negative Numbers
1) (−2) + 3 2) (−14) + (−7)
3) 3 − (−8) 4) (−9) + 14
5) (−8) − (−2) 6) 5 + (−8)
7) (−27) − 24 8) (−41) + (−40)
9) 38 − (−17) 10) (−44) + (−9)
Answer:
The answer is number 1
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
au. eja. t r. 3 45. 6 18w
Someone help and plz make sure it’s right
Answer:
Step-by-step explanation:
cosx=adjacent /h
I have a graph the line problem that I don't know how to do It says I have to graph at least three points y=-1/4x+3
Answer:
Hope this helps!!
Step-by-step explanation:
Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer.... cn=ln((5n?7)/(12n+4)) ....... lim n?? cn= ???
The limit of the sequence is 0.
To determine the limit of the sequence, we can use the Limit Laws and theorems. We will start by simplifying the expression:
cn=ln((5n-7)/(12n+4))
cn=ln(5n-7)-ln(12n+4)
Now we can use the Limit Laws:
lim n→∞ ln(5n-7) = ∞ (since ln(x) → ∞ as x → ∞)
lim n→∞ ln(12n+4) = ∞ (since ln(x) → ∞ as x → ∞)
Therefore, we have:
lim n→∞ cn = lim n→∞ (ln(5n-7)-ln(12n+4))
= lim n→∞ ln(5n-7) - lim n→∞ ln(12n+4)
= ∞ - ∞ (which is an indeterminate form)
To evaluate this limit, we can use L'Hopital's Rule:
lim n→∞ ln(5n-7) - ln(12n+4) = lim n→∞ [ln((5n-7)/(12n+4))]
= lim n→∞ [(5/12)/(5/n - 3/4n²)]
Since the denominator goes to ∞ and the numerator is constant, we have:
lim n→∞ [(5/12)/(5/n - 3/4n²)] = 0
Therefore, we have:
lim n→∞ cn = 0
So the limit of the sequence is 0.
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The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)
Answer:
$40000
Step-by-step explanation:
640160≈640000
640000/16=40000
a metal-cutting operation has a target value of 20 and consistently averages 19.8 with a standard deviation of 0.5. the design engineers have established an upper specification limit of 22 and a lower specification limit of 18. which statement concerning this process is true?
The process is capable of producing outputs within the specification limits is true.
There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.
The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.
One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.
It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.
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A.The process is in statistical control.
B.The process is capable of producing outputs within the specification limits.
C.The process is capable of producing outputs within the tolerance limits.
D.The process is capable of producing outputs within the control limits.
E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits
which statement concerning this process is true?
Fothergill Company makes 40,000 units per year of a part it uses in the
products it manufactures. The unit product cost of this part is computed as
follows:
Direct materials .......................................... $21.40
Direct labor ................................................ 22.30
Variable manufacturing overhead .............. 1.40
Fixed manufacturing overhead .................. 24.60
Unit product cost........................................ $69.70
An outside supplier has offered to sell the company all of these parts it needs for
$57.10 a unit. If the company accepts this offer, the facilities now being used to
make the part could be used to make more units of a product that is in high
demand. The additional contribution margin on this other product would be
$395,000 per year.
If the part were purchased from the outside supplier, all of the direct labor, direct
materials and variable manufacturing overhead costs of the part would be
avoided. However, $21.90 of the fixed manufacturing overhead cost being applied
to the part would continue even if the part were purchased from the outside
supplier. This fixed manufacturing overhead cost would be applied to the
company's remaining products.
If Fothergill Company decides to purchase the part from the outside supplier at a cost of $57.10 per unit, it would avoid the direct materials, direct labor, and variable manufacturing overhead costs associated with producing the part internally.
However, a portion of the fixed manufacturing overhead cost, specifically $21.90 per unit, would still be incurred even if the part is purchased externally. This fixed manufacturing overhead cost would be allocated to the company's remaining products.
Let's calculate the total cost savings and additional contribution margin if the company decides to purchase the part from the outside supplier:
Cost savings per unit:
Direct materials: $21.40
Direct labor: $22.30
Variable manufacturing overhead: $1.40
Total variable costs per unit: $45.10
Cost savings for 40,000 units: $45.10 * 40,000 = $1,804,000
Fixed manufacturing overhead cost allocated to remaining products: $21.90 * 40,000 = $876,000
Additional contribution margin from producing more units of the high-demand product: $395,000
Total net savings and additional contribution margin:
$1,804,000 + $395,000 - $876,000 = $1,323,000
Therefore, if the company accepts the outside supplier's offer and purchases the part externally, it would save a total of $1,323,000 per year and generate an additional contribution margin for its high-demand product.
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Find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7
The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.
To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.
We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:
<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>
This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.
To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:
2<-16, 22, 11> = <-32, 44, 22>
Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.
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Solve the following equation for y. 3y - 7(y + 5) = y - 35 Also Show your work Describe and show each step taken.
A. y = 0
B. y = 1
C. y = 2
D. All real values for y are correct solutions.
The equation is,
→ 3y - 7(y + 5) = y - 35
Now the value of y will be,
→ 3y - 7(y + 5) = y - 35
→ 3y - 7y - 35 = y - 35
→ -4y - y = -35 + 35
→ -5y = 0
→ y = 0/-5
→ [ y = 0 ]
Hence, option (a) is correct.
1. Refer to the figure at the right. Line a is parallel to line b and m2 is 135 °. Find each given angle measure. Justify your answer
m9+m<10
m1
m6
m4+ m5
this means angle
Answer:
∠9 + ∠10 = 135° combined, they are alternate equal to ∠2
∠1 =45° it is supplementary to ∠2
∠6 = 45° it is corresponding congruent to ∠8 which is alternate
equal to ∠1
∠4 + ∠5 = 135° combined, they are corresponding congruent to ∠2
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
All the angles are mentioned on the diagram.
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
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Find all points at which the direction of fastest change of the function
f(x, y) = x2 + y2 − 2x − 6y is i + j.
The point at which the direction of fastest change of the function f(x, y) = x² + y² - 2x - 6y is in the direction of vector i + j is (3/2, 7/2).
What is function?In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the points at which the direction of fastest change of the function f(x, y) = x² + y² - 2x - 6y is in the direction of vector i + j, we need to find the gradient vector of the function and equate it to the given direction vector.
The gradient vector of the function f(x, y) is given by:
∇f(x, y) = [∂f/∂x, ∂f/∂y]
Taking partial derivatives of f(x, y) with respect to x and y:
∂f/∂x = 2x - 2
∂f/∂y = 2y - 6
Setting the gradient vector equal to the given direction vector i + j:
[2x - 2, 2y - 6] = [1, 1]
Equating the corresponding components, we have:
2x - 2 = 1
2y - 6 = 1
Solving these equations, we get:
2x = 3 => x = 3/2
2y = 7 => y = 7/2
Therefore, the point at which the direction of fastest change of the function f(x, y) = x² + y² - 2x - 6y is in the direction of vector i + j is (3/2, 7/2).
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Give each rate in miles per hour. Round to the nearest tenth.
Dhruv jogs 8 feet per second.
I don’t know the answer please help.
The question requires changing feet per second into miles per hour
The unit rate in miles per hour is 5.5 miles per hour
8 feet = 0.00151515 miles
1 second = 0.000277778 hour
unit rate in miles per hour = number of miles / number of hours
= 0.00151515 mile / 0.000277778 hour
= 5.4545356363714 miles per hour
Approximately, 5.5 miles per hour to the nearest tenth
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