Explanation:
x = number of gigabytes of data used
y = total price
Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.
Meanwhile, company B has the equation y = 5x+20
The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.
If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.
This means x = 16 and y = 100 pair up together.
It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.
This points us to choice B as the final answer.
Which of the following is equidistant from the vertices of a triangle? a.circumference b. centroid c.orthocentre d. incentre
(Option D. Incentre) The incentre of a triangle is the point equidistant from all three of the triangle's vertices. This means that its distance from each vertex is the same.
Which of the following is equidistant from the vertices of a triangle? Option D. Incentre.The incentre of a triangle is an important point of reference for geometry. It is located at the center of the triangle's inscribed circle, which is the circle that touches each of the triangle's three vertices. This is why the incentre is also known as the triangle's inner center or center of the triangle's inscribed circle. As it is equidistant from all three of the triangle's vertices, the incentre is useful for finding the angles of the triangle and for finding the lengths of the triangle's sides. It can also be used to calculate the area of the triangle.
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Between 11 p.m. and midnight on Thursday night, Mystery Pizza gets an average of 4.2 telephone orders per hour. (a) Find the median waiting time until the next telephone order. (b) Find the upper quartile of waiting time before the next telephone order. (c) What is the upper 10 percent of waiting time until the next telephone order? Show all calculations clearly.
a) The median waiting time until the next telephone order is of: 2.91 minutes.
b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.
c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The mean for this problem is of:
m = 4.2.
Hence the decay parameter is of:
[tex]\mu = \frac{1}{4.2} = 0.2381[/tex]
The mass function is then given as follows:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
Hence:
[tex]P(X \leq x) = 1 - e^{-0.2381x}[/tex]
The median time is the value of x for which P(X < x) = 0.5, hence:
[tex]0.5 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.5[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.5}[/tex]
-0.2381x = ln(0.5)
x = -ln(0.5)/0.2381
x = 2.91 minutes.
The upper quartile is the value of x for which P(X < x) = 0.75, hence:
[tex]0.75 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.25[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.25}[/tex]
-0.2381x = ln(0.25)
x = -ln(0.25)/0.2381
x = 5.82 minutes.
The upper 10% is the value of x for which P(X < x) = 0.9, hence:
[tex]0.9 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.1[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.1}[/tex]
-0.2381x = ln(0.1)
x = -ln(0.1)/0.2381
x = 9.67 minutes.
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write a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
A statement that associates s with a set that contains the following elements: 23, 42, -11, 89 is s = set ( [ 23 , 42 , -11 , 89 ] )
Given :
a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
Statement :
A statement is an instruction that the Python interpreter can execute.
We have seen two kinds of statements: print and assignment.
When you type a statement on the command line, Python executes it and displays the result, if there is one. The result of a print statement is a value.
we can write :
s = set ( [ 23 , 42 , -11 , 89 ] )
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Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an= 1-(0.6)^n lim n tends to infinite an=n^3/7n^3+1lim n tends to infinite an=an= 7+2n^2/n+7n^2 lim n tends to infinite an=n^3/5n+8 lim n tends to infinite an= an=e^6/n lim n tends to infinite an= Square root n+5/25n+5 lim n tends to infinite an=n^2 /square root n^3+9n lim n tends to infinite an=
The given series diverges.
Given:
aₙ = n²/√n³+7n
using series divergence test
If limₙ→∞ aₙ ≠0, then ∑ aₙ diverges .
limₙ→∞ (n²/√n³+7n) = limₙ→∞ (n²/√n³(1+7/n²)
= limₙ→∞ (n²/n³/²√1+7/n²)
= limₙ→∞ (√n/√1+7/n²)
= (∞/√1+0)
= ∞
Therefore the series diverges.
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Please help!! ASAP!!
Answer:
3
Step-by-step explanation:
Figure A is a dilation of Figure B by a factor of 3
That means that Figure A is 3 times larger than Figure B.
From Figure B to Figure A, the scale factor is 3.
185
+50%+4%=start fraction, 185, divided by, 100, end fraction, plus, 50, percent, plus, 4, percent, equals
Answer:
1.85
Step-by-step explanation:
185/100 equals 1.85
if I'm reading the problem correctly this is what we have:
0.54 = 1.85 + 0.54
for the left side to equal the right side you must add 1.85 or 185/100
Use a parametrization to find the flux
\int \int_{s} F.n . d\sigmaof F =5zk across the portion of the sphere x2+y2+z2=a2 where Z is positive in direction away from the origin.
the flux is____
The flux of the given sphere as calculated from the data is, flux= 5πa³/6.
We can use spherical coordinates for this sphere with radius r=ar =a.
The surface can then be described using the parametric equation as
r(θ,Ф)= acosθsinФi + asinθsinФj + acossθk
The partial derivatives of this parametric function with respect to its parameters are,
r ϕ=acosθcosϕi+asinθcosϕj−asinϕk
r θ=−asinθsinϕi+acosθsinϕj
Therefore,
the cross product will be ,
ndσ=a²[cosθsin²ϕi+sinθsin²ϕj+sinϕcosϕk]dϕd
In these coordinates
F = 5zk = 5acosФk
therefore on integrating we get ,
flux= 5πa³/6
Flux is a physics term that refers to the number of electric or magnetic field lines that pass through a surface in a given amount of time. Field lines provide a visual representation of the magnitude and direction of the field being measured.
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The T distribution :
A) assumes the population is normally distributed
B) approaches the normal distribution as sample size increase
C) has more area in the tails than normal distribution
D) all the above
According to the T distribution, the correct option is (d) All the above
T distribution:
In statistics, t-distribution is used in all forms of t-tests. Where the T-tests are all classified as inferential statistical tests and will follow all of the same steps required to complete the process of null hypothesis significance testing. And it defines the exact shape of the t-distribution is governed by the degrees of freedom. And the t-distribution is associated with a degrees of freedom equal to the sample size minus a value of 1.
Given,
Here we need to find the correct option according to the T distribution.
As per the given options, the correct answer is best represented by option D. All of the above are correct.
Because, the t-distribution, along with the normal distribution, both assume data is normally distributed in the population.
When the sample size increases towards 30, the t-distribution will resemble the normal distribution, provided the data in the population is normally distributed.
If it is correct to state that the tails of the t-distribution are thicker compared to the normal distribution.
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6. The following polygon is a regular octagon with
center O. What is the value of x?
to
Check the picture below.
what ratio, a:b, is represented in the table?
a b
1.5 2.5
51 85
99 165
Answers
A 4:54:5
B 2:32:3
C 3:5
Answer:is c or 3:5
Step-by-step explanation:
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, s shown below. A: 12, 11, 09, 0.4 C 1.0, 1.5, 1.1, 1.3 B: 2.3, 2.1,1.9, 1.6 D0.8,1.3, 1.1, 0.7 The ressults of the analysis are Sumarized in the following ANOVA table F P-value 1818 1.0606 Neighbarhood Error Total 0001 12 4.3644 (a) (Spt) Fill in the blanks in the ANOVA table. (Show your steps for partial credits (b) (2pt) Bsed on the P-value in the ANOVA, you should rejesct) Hp then conclude thnt (reject or not (c) (2pt) The realtor decided to compare the 4 population mes by using the a multiple comparison procedure. In this case, you prefer to uTukey or Bonferroni) because (d) (1pt) Given the multiple comparison procesdr comparisons that can be made in (c), there are
The solutions are,
(a) 1.1825
(b) 0.0985
(c) Reject the null hypothesis since the test's p-value (0.001) is less than 0.05. One might draw the conclusion that there is evidence of a difference in the mean ratios for the 4 neighborhoods based on the sample data.
Given data,
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood ;
(a) The within-group sum of squares for this analysis will be
4.3644 - 3.1819 = 1.1825
Hence, within the group sum of squares for this analysis is 1.1825.
(b) There are four groups so df for within groups is 12 so the within-group mean squares for this analysis will be,
[tex]\frac{1.1825}{12}=0.0985[/tex]
(c) Since the p-value of the test (0.001) is less than 0.05, reject the null hypothesis. That is based on sample evidence one can conclude that there is evidence of a difference in the mean ratios for the 4 neighborhoods.
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Which is called vertex?
A vertex is a point where two or more curves, lines, or edges meet.
In geometry, vertex generally refers to an intersection point or a corner where lines, curves or edges meet. As a consequence of this definition, the point where two lines meet to form an angle called an included angle are considered vertices. Hence, the corners of triangle, polygons and polyhedral are vertices. For example, the lines of square or rectangle intersect at four corners which are called its vertices (which is the plural of vertex). Similarly, the vertex of curve(s) is where they intersect with each other or with its line of symmetry.
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This ques Part A It takes Ernest's grandfather clock 2 seconds to chime. What equation can be used to model the total time y for number of chimes x? Write the equation in the form y = kx?
The equation that can be used to model the total time y for number of chimes is y = 2x.
What equation can be used to model the total time y for number of chimes x?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, it takes Ernest's grandfather clock 2 seconds to chime.
Therefore, the equation that can be used to model the total time y for number of chimes x will be:
y = 2 × x
y = 2x.
The equation is y = 2x.
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a statistics student is trying to decide whether she should take a gamble and play bingo. the average bingo player earns $9 per game, distributed normally, with a population standard deviation of $8. if a sample of 25 bingo players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below.
Select all that apply: 0; = $0.32 0; = $8 O = $1.60 Mi = $9 Hi = $1.80
The expected mean of the sampling distribution and the standard deviation of the sampling distribution is $29.50.
Standard deviation
In statistics, standard deviation refers the square root of variance by determining each data point's deviation relative to the mean.
Given,
Here we know that a statistics student is trying to decide whether she should take a gamble and play bingo. And the average bingo player earns $9 per game, distributed normally, with a population standard deviation of $8.
And we need to find if a sample of 25 bingo players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below.
0; = $0.32 0; = $8 O = $1.60 Mi = $9 Hi = $1.80
Here the standard deviation of the sample distribution is calculated as,
=> σₓ = √1.80 = 1.34
Here we know that the distribution is normal then the mean of the sampling distribution is equal to the mean of the population, based on this theory, the resulting value is $29.50.
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Which of the following statement is true about triangle inequalities?
The statement which is true about triangle inequalities is that the sum of the lengths of the 2 sides of a triangle is equal than the third side of the triangle.
What are triangle inequalities?In Euclidean geometry, triangle inequalities are a theorem which states that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In shorts, the theorem states that the shortest distance between two points is a straight line.
If the length of a side is equal to the sum of the other two sides, then the vertices have to be colinear, meaning that the three sides form a line segment rather than a triangle. This is called the triangle inequality.
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1 out of 35 students is going on a field trip. What is the ratio of the number of students who are staying at school to the number of students who are going on the field trip?
Answer:
35:1 because that is the most likely answer
what is the probability of getting a number less than 3 and a tails?; latricia determines that the probability; which value cannot represent the probability of an event occurring?; eitan and asher are playing a game; keyless entry door lock; electric door lock; best door locks; automatic door locks
The probability of getting a tails and a number less than 3 is equal to 1/6.
As given in the question,
Probability of getting heads or tail is:
P (H) = P(T) = 1/2
The probability of getting any number on the die is:
P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6
The probability of getting a tail on the coin and a number less than 3 on the die is:
P(tails and a number less than 3) = P(tails) x P( a number less than 3)
= 1/2 x [P(1) +P(2)]
= 1/2 x [1/6 +1/6]
= 1/6.
Therefore ,the required probability of getting tails and a number less than 3 is equal to 1/6.
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Does the relationship show a ratio or a rate explain
The relationship shows a ratio.
What is a relationship?
A relation in mathematics describes the connection between two sets of values for ordered pairs. The set of items in the first set are referred to as domain, and they are connected to the set of elements in the second set, referred to as range.
How can one tell whether a relationship is a function?
A function is described as having one and only one output for each input value. In this case, the output values are referred to as the range and the input values as the domain.
In the rate the unit of two variables are different. In the ratio the unit of the variable is the same.
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Cos(75) using cos(a+b)
Answer:
[tex]\sqrt{6}[/tex]/4 – [tex]\sqrt{2}[/tex]/4
Step-by-step explanation:
cos(a + b) = cos (a) cos(b) – sin (a) sin (b)
cos(75) =
cos(45 + 30) = ==> break it down into more solvable angles
cos (45) cos(30) – sin (45) sin (30) =
[tex]\sqrt{2}[/tex]/2 * [tex]\sqrt{3}[/tex]/2 – [tex]\sqrt{2}[/tex]/2 * 1/2 = ==> simplify
([tex]\sqrt{2}[/tex]*[tex]\sqrt{3}[/tex])/(2*2) – ([tex]\sqrt{2}[/tex]*1)/(2*2) =[[tex]\sqrt{6}[/tex]/4 – [tex]\sqrt{2}[/tex]/4]
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Will Give Brainliest if Answered Correctly look at picture
The additional jump in inches that John must make to beat the record is
5 1/4 inches
How to find the height in inches required to break the recordThe problem is solved by converting the given dimensions in ft to inches
conversion to inches is solved using
12 inches = 1 ft
The record jump is
= 23 feet 1 3/4 in
= 23 * 12 + 1 3/4 in
= 276 + 1 3/4
= 277.75 in
John's best long jump
= 22 ft 8 1/2 in
= 22 * 12 + 8 1/2 in
= 264 + 8 1/2
= 272.5 in
John's additional jump
= record jump - John's best long jump
= 277.75 - 272.5
= 5.25 in
= 5 1/4 in
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P(x)=x^3+3x^2+3x+2
find the 4 rational roots
Answer:The only rational root of x3−3x2+4x−12=0 is 3.
Step-by-step explanation:
{1,−1,2,−2,3,−3,4,−4,−6,12,−12} , if at least one root is rational.
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T/F show that regardless of the testing point used we arrive at the same answer for the direction of a phse plane
True, Regardless of the testing point used we arrive at the same answer for the direction of a phase plane.
We were able to sketch the solution, y(t), in the y-t plane for the single differential equation case and observe actual solutions. Due to the fact that our answers are actually vectors, this would be fairly challenging in this situation.
Here, we're going to plot the points that we represent as the system's solutions as points in the x1x2 plane. Our equilibrium solution will line up with the x1x2 plane's origin, which is also known as the phase plane.
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A survey determines that six out of every ten Niceville residents shop at Walmart: In a group of15, randomly selected Nicevillians, find the prabablllythat at least thirteenof them shop at Walmart.
From a group of 15 randomly selected residents , the probability that at least thirteen of them shop at Walmart is 0.0271 .
6 out of 10 Niceville residents shop at Walmart
So, the probability of shopping at Walmart (p) is = 6/10 = 0.6
The probability of not shopping at Walmart is (q) = 1 - 0.6 = 0.4 .
The number of members in the group is(n) = 15 ;
We have to find the probability that, at least thirteen of them shop at Walmart
By the Binomial Probability Distribution,
we know that ; P(x = a) = ⁿCₐ×pᵃ×qⁿ⁻ᵃ
So , P(x ≥ 13) = P(x=13) + P(x=14) + P(x=15)
Substituting the values of a , n and p and q ,
We get ;
= ¹⁵C₁₃p¹³q² + ¹⁵C₁₄p¹⁴q¹ + ¹⁵C₁₅p¹⁵q⁰
= ¹⁵C₁₃(0.6)¹³(0.4)² + ¹⁵C₁₄(0.6)¹⁴(0.4)¹ + ¹⁵C₁₅(0.6)¹⁵(0.4)⁰
= 0.0219 + 0.0047 + 0.0004
= 0.0271
Therefore, the required probability is 0.0271
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A bag has four balls labeled A, B, C, and D. One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter A. If there is more than one element in the set, separate them with commas.
Answer:
B
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Bob the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 8 who did Plan B. On Tuesday there were 5 clients who did Plan A and 2 who did Plan B. Bob trained his Monday clients for a total of 15 hours and his Tuesday clients for a total of 8 hours. How long does each of the workout plans last?
The number of hours that plan A last is 1 hour and the number of hours that plan B last is 1 1/2 hours.
How long does each workout last?The first step is to form a system of equations using the information in the question:
3a + 8b = 15 equation 1
5a + 2b = 8 equation 2
Where:
a = length of plan A b = length of plan BThe elimination method would be used to determine the required values
In order to determine the value of a, multiply equation 2 by 4
20a + 8b = 32 equation 3
Subtract equation 1 from equation 3 :
17a = 17
Divide both sides of the equation by 17
a = 17/17
a = 1 hour
Substitute for a in equation 1 :
3(1) + 8b = 15
3 + 8b = 15
8b = 15 - 3
8b = 12
b = 12 / 8
b = 1 4/8 = 1 1/2 hours
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how many degrees was the figure rotated; rotate the point (-3,-4) around the origin 180 degrees; rotate the point (7 8) around the origin 90 degrees; rotate the point (7 8) around the origin 90 degrees counterclockwise; if you were to rotate abcd 180; rotate the point (-3,-4) around the origin 180 degrees. what is the image of the point?; if you were to rotate abcd 90 degrees counterclockwise; what is the angle of rotation for this counterclockwise rotation about the origin
a) 270° counter clockwise rotation of figure 1
b) The image of point (-3,-4) is (3,4).
c) The new image of point (7,8) is (8,-7) after 90° degree clockwise rotation.
d) The new image of point (7,8) is (-8,7) after 90° degree anticlockwise rotation
e) The fig. abcd will moves to second quardent after 90° counter clockwise rotation.
f) The rotation angle of figure is 270° , in the counterclockwise direction about origin.
A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.
To describe a rotation, you need three things:
Direction (clockwise or counterclcokwise.
Angle in degreesCenter point of rotationRotations About The Origin90 Degree Rotation:
When rotating a point 90 degrees counterclockwise about the origin of a point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
180 Degree Rotation :
When we rotating a point 180 degrees counterclockwise about the origin a point A(x,y) it becomes A'(-x,-y). So all we do is make both x and y negative.
We have given that,
a) The given figure is rotated aoround 90° clockwise or 270° counter clockwise.
b) A point (-3,-4) is rotated around the origin 180 degrees , then the new point or position after the rotation is (3,4).
c) Rotate the point (7 , 8) around the origin 90 degrees , the new point or image of (7,8) is ( 8,-7).
d) If a point (7,8) is rotate around the origin 90 degrees counterclockwise then new point is (-8,7).
e) If you were to rotate abcd 90 degrees counterclockwise then the image of figures abcd will enter in quadrent 2nd with all coordinate changes.
f) when a figure is rotated in counterclockwise rotation about the origin the angle of rotation is 270 degrees.
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Virginia placed 30 marbles in a bag. Seven of the marbles are yellow, 4 marbles are orange, 5 marbles are blue, 8 marbles are green, and 6 marbles are red. Click and drag the letters onto the probability scale to order the likelihood that the event will happen.
The probabilities of each marble is given as follows:
Yellow: 7/30.Orange: 4/30.Blue: 5/30.Green: 8/30.Red: 6/30.Hence the order of the likelihoods, from least to greatest, is given as follows:
Orange, Blue, Red, Yellow, Green.
How to calculate the probabilities?In the context of a problem, a probability is calculated as the division of the number of desired outcomes divided by the number of total outcomes.
There are 30 marbles in this problem, hence the probability of each marble is calculated as the division of the amounts of each marble by 30.
As all the fractions have a denominator of 30, they are ordered from the lowest numerator, as follows:
Orange, Blue, Red, Yellow, Green. (from the numerator of 4 to the numerator of 8).
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64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another, calculate the probability that exactly one of the next three vehicles fail. (give your answer as a decimal number with 3 digits of precision.)
The probability that exactly one of the next three vehicles fail is 0.737 .
Given :
64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another .
probability that exactly one of the next three vehicles fail is :
P = 1 - probability that all of the next three vehicles passes .
= 1 - 64 % * 64 % * 64 %
= 1 - 64/100 - 64/100 - 64/100
= 1 - 0.64 * 0.64 * 0.64
= 1 - 0.4096 * 0.64
= 1 - 0.262
= 0.737
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Write 7 as the ratio of two integers.(Enter a ratio in fraction form.)
Answer:
14/2
Step-by-step explanation:
We can write 7 as 7/1
Multiply the top and bottom by 2/2
7/1 * 2/2 = 14/2
We could multiply by any number over itself
7/1 * 3/3 = 21/3
This is an equivalent fraction
Answer:
See below
Step-by-step explanation:
Examples ( choose one)
14/2
7/1
21/3
98/14
the dog days clothing company receives 630 cases of imported zippers every 18 days. the number of cases of zippers on inventory t days after the shipment arrives is n(t)
The average daily inventory is 253 cases
In this question, we have been given we have been given the number of cases of zippers on inventory t days after the shipment arrives is
N(t) = 630 − 30√18t
We need to find the average daily inventory.
We use the definite integral to compute for the average value over that interval from a to b.
(∫[a_b] f(x) dx )/ (b - a)
Here, a = 1 and b = 18
so, the average daily inventory would be,
∫[18_1] N(t)dt / (18 - 1)
= ∫[18_1] (630 − 30√18t) dt / 17
= 4314.85 / 17
= 253.81
= 253
Therefore, the average daily inventory = 253 cases
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The complete question is:
the dog days clothing company receives 630 cases of imported zippers every 18 days. the number of cases of zippers on inventory t days after the shipment arrives is N(t) = 630 − 30√18t. Find the average daily inventory.
