(a). Name of internet service provider is categorical variable because it cannot be quantified or measured. It can be divided into different categories according to the service they provide.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(b). Time in hours, spent surfing the internet per week is continuous numerical variable because time can be measured over an infinite number of real values within a given interval.
A variable is said to be continuous if it can assume an infinite number of real values within a given interval.
Measurement scale used for determination is ratio scale.
(c). Whether the individual uses a mobile phone to connect to the internet is categorical variable because the answer can only be yes or no and it cannot be measured numerically.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(d). Number of online purchases made in a month is discrete numerical variable because it is a value that arises through a counting process.
A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation.
Measurement scale used for determination is interval scale.
(e). Where the individual uses social networks to find sought -after information is categorical variable because the answer can only be yes or no and it cannot be measured numerically. It can be either he/she uses or he/she do not.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
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pour le carnaval un fleuriste dispose de 283 roses et 397 tulipes. il décide de décorer de façon identique le plus grand nombre de chars pour accompagner les carnavalier. après avoir décorer le chars il lui reste 3 roses et 2 tulipes.
combien a t-il décorer de chars et quelle est la composition de chaque décor?
Answer:
I don't understand French
Step-by-step explanation:
The price of a plane ticket from a certain city to another increased from 700 to 840. Find the percent of increase
The percent of increase in price is 20 %
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Percentage formula = (Value/Total value) × 100
increase 700 to 840
old price is 700
new price is 840
price increase is 840 - 700
=140
percentage increase in price is
= 140*100/700= 20 percentage
Percentage formula = (Value/Total value) × 100
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un cuerpo describe un M.A.S de a cuerdo con lo especificado.
x= 2 cos (π/2 T+π) r
Hallar sus elementos en:
T= 2
T= 2/3 seg
K= f/x
The M.A.S motion for two different time periods {T} = 2s and
{T} = 2/3s is calculated above.
What is the general equation of a wave motion?The general equation is -
y{t} = A sin(ωt + Ф)
Given is a body describes an M.A.S according to the function -
{x} = 2 cos{(π/2)T+ π)r
Now -
For {T} = 2, we can write -
{x} = 2 cos{(π/2) x 2+ π)r
{x} = 2 cos{2π}r
{x} = 2 x 1 x r
{x} = 2r
For {T} = 2/3, we can write -
{x} = 2 cos{(π/2) x 2/3+ π)r
{x} = 2 cos{π/3}r
{x} = 2 x -0.33 x r
{x} = - 0.66r
Therefore, the M.A.S motion for two different time periods {T} = 2s and
{T} = 2/3s is calculated above.
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{Question in english -
a body describes an M.A.S according to what is specified.
x= 2 cos (π/2 T+π) r
Find its elements in:
T= 2
T= 2/3 sec
K=f/x}
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden. Part 1 Enter an expression that represents the area of Mary's new garden. An expression that represents the area is Part 2 out of 2 Evaluate the expression if the side length of Mary's original garden was 9 feet. The area of Mary's new garden is square feet
Part 1: If Mary doubles the area of her original square garden, the expression that represents the area of Mary's new garden is 2x^2.
Part 2: If the side length of Mary's original garden is 9 feet, the area of Mary's new garden is 162 square feet.
Part 1: If Mary doubles the area of her original square garden, the new area of her garden will be 2 times the area of her original garden.
If the area of her original garden is x^2, then the area of her new garden will be:
2(x^2) = 2x^2
So, the expression that represents the area of Mary's new garden is 2x^2.
Part 2: If the side length of Mary's original garden is 9 feet, then the area of her original garden is:
x^2 = (9 feet)^2 = 81 square feet
To find the area of Mary's new garden, we can substitute 81 for x^2 in the expression we found in Part 1:
2x^2 = 2(81 square feet) = 162 square feet
So, the area of Mary's new garden is 162 square feet.
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What value of n makes the equation true? 7^7 multiplied by 7^5 equals (7^n)^4 over 7^4
From power rules, the value of n is 4.
Power Rules
The main power rules are presented below.
Multiplication with the same base: you should repeat the base and add the exponents. Division with the same base: you should repeat the base and subtract the exponents. Power. For this rule, you should repeat the base and multiply the exponents. Exponent negative - For this rule, you should write the reciprocal number with the exponent positive. Zero Exponent. When you have an exponent equal to zero, the result must be 1.For solving this question, you should convert the given text into a math expression. See below.
7^7 multiplied by 7^5 equals (7^n)^4 over 7^4 = [tex]7^7 * 7^5 =\frac{ (7^n)^4 }{7^4}[/tex]
After that, you should apply the power rules. Using the rule for the multiplication with the same base, you have: [tex]7^{12} =\frac{ (7^n)^4 }{7^4}[/tex].
Next step, you should apply the rule Power, then: [tex]7^{12} =\frac{ (7^{4n})}{7^4}[/tex]. One more time, you should apply the rule for the multiplication with the same base, and you will have:
[tex]7^{12} =\frac{ (7^{4n})}{7^4}\\ \\ 7^{16}=7^{4n}[/tex]
Thus,
16=4n
n=16/4
n=4
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Find the diameter with of
Circumference 31.4ft
The diameter of a circle is 10 feet.
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Given that, the circumference of a circle is 31.4 ft.
We know that, circumference of a circle is 2πr
Now, 2πr=31.4
2×3.14×r=31.4
6.28r=31.4
r=31.4/6.28
r=5 feet
Then, diameter=2×radius =10 feet
Therefore, the diameter is 10 feet.
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Kellys last quiz scores were 79,89,86, and 93. What must her next score be to obtain an average that is more than 88
Answer: To find out what Kelly's next score must be in order to obtain an average that is more than 88, we first need to find the current average of her scores. To do this, we add up her current scores and divide by the number of scores:
(79 + 89 + 86 + 93) / 4 = 337 / 4 = 84.25
Since the current average is 84.25, which is less than 88, Kelly must score higher than 88 on her next quiz to bring the average up to more than 88. To be specific, Kelly must score at least 89 on her next quiz.
Step-by-step explanation:
The sum of two numbers is 22. Two less than three times the smaller number is equal to the larger number x. Find the larger number.
y=6, x=16
you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!
which of the following points lies on the line 2x - y =12
a. (2,4)
b. (4,4)
c. (5,-2)
d. (0,12)
Answer:
C
Step-by-step explanation:
Plug (5, -2) into the equation
2(5) - (-2) =
10 + 2 =
12
C is the answer
(5, -2) is the answer
how many ways can aileen choose 2 pizza toppings from a menu of 18 toppings if each topping can only be chosen once?
The number of ways to choose 2 toppings from a menu of 18 toppings is a classic example of a combinatorial problem.
We have a set of 18 items (toppings), and we want to know how many ways there are to choose 2 of these items. The answer is given by the binomial coefficient C(18, 2), which is the number of ways to choose 2 items from a set of 18 items, where order does not matter and repetition is not allowed.
The formula for a binomial coefficient is:
C(n, k) = n! / (k! * (n - k)!)
where n! means n factorial, which is the product of all positive integers from 1 to n. So, for example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
Using this formula, we can calculate the number of ways to choose 2 toppings from a menu of 18 toppings:
C(18, 2) = 18! / (2! * (18 - 2)!) = 18 * 17 / (2 * 1) = 153 ways
So there are 153 different ways to choose 2 toppings from a menu of 18 toppings.
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Which choice names a chord of circle F?
FE
BA
A and F
FD
I need help on this please
A spinner is split into eight wedges numbered 0-7.
Drag the numbers into the correct position to complete the
Venn diagram. Then use the diagram to answer the probability
questions.
The required Venn diagram is given in the picture.
What is the Venn diagram:The graphic representation of the differences and affinity between the two concepts is a Venn diagram.
In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship among sets and their contents.
Note: "The set of natural numbers starts from 1, hence '0' is not included in the set of natural numbers."
Here we have
A spinner is split into eight wedges numbered 0-7
The set of numbers = 0, 1, 2, 3, 4, 5, 6 and 7
The set of numbers that is less than 5 = {0, 1, 2, 3, 4 }
The set of numbers that are natural numbers = {0, 1, 2, 3, 4, 5, 6, 7 }
The set number that natural number and less than 5 = {1, 2, 3, 4 }
Hence,
The required Venn diagram is given in the picture.
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[ Complet Question is given in picture ]
5(5-5)=4(5-5) why cant you cancel the 5-5
Answer:
you cannot cancel (5-5) because it is multiplied to 5 and 4 if the question was 5+(5-5)=4+(5-5) you can cancel 5-5
The reason that we can't cancel out the (5 - 5) is because it is attached to different numbers and as such they must be multiplied first with distributive property.
How to use properties of algebra?According to the distributive property of algebra, multiplying the sum of two or more addends by a number will give us the same result as when each addend is multiplied individually by the number and the products are added together.
This also applies to addition as well.
We are given;
5(5 - 5) = 4(5 - 5)
Now, according to the distributive property, we will have to first multiply out the bracket to get a solution. Thus, we can't cancel out the (5 - 5) because it is attached to different numbers and as such they must be multiplied first with distributive property in mind.
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Help with explanation please
Check the picture below.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ Q(\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad P(\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 6 -2}{2}~~~ ,~~~ \cfrac{ 2 +8}{2} \right) \implies \left(\cfrac{ 4 }{2}~~~ ,~~~ \cfrac{ 10 }{2} \right)\implies (2~~,~~5)[/tex]
question 6
pls help me as soon as possible
i'm being timed i only have a hour
Answer:
7.09
Step-by-step explanation:
s = r∅ = 7.09
s = (7 cm)(1.0123) = 7.086
58 deg x π/180 = 1.0123 radians
Answer:
CB ≈ 7.09 cm
Step-by-step explanation:
the length of arc CB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{58}{360}[/tex] ( r is the radius )
= 2π × 7 × [tex]\frac{29}{180}[/tex]
= [tex]\frac{14\pi (29)}{180}[/tex]
≈ 7.09 cm ( to 2 decimal places )
. if it is assumed that all poker hands are equally likely, what is the probability of being dealt a. a flush? (a hand is said to be a flush if all 5 cards are of the same suit.) b. one pair? (this occurs when the cards have denominations where and are all distinct.)
a) The probability of being dealt a flush is approximately 0.00198, or about 0.2%.
b) The probability of being dealt one pair is approximately 0.422, or about 42.2%.
a. To find the probability of being dealt a flush, we need to first determine how many possible flush hands there are, and then divide that by the total number of possible hands. There are 4 suits in a deck of cards, so there are 4 ways to choose which suit the flush will be in.
Once we have chosen a suit, there are 13 cards of that suit, and we need to choose 5 of them. The number of ways to choose 5 cards from 13 is given by the combination formula: C(13,5) = 1287. Therefore, there are 4 x 1287 = 5148 possible flush hands.
The total number of possible hands is given by the combination formula for choosing 5 cards from a deck of 52: C(52,5) = 2598960. Therefore, the probability of being dealt a flush is 5148/2598960, which simplifies to approximately 0.00198, or about 0.2%.
b. To find the probability of being dealt one pair, we need to first determine how many possible one pair hands there are, and then divide that by the total number of possible hands. There are 13 denominations in a deck of cards, so there are 13 ways to choose which denomination will form the pair.
Once we have chosen a denomination, there are 4 cards of that denomination, and we need to choose 2 of them. The remaining 3 cards must each be a different denomination from the pair, so there are 12 denominations left to choose from, and 4 cards of each denomination.
We need to choose 3 of these 12 denominations, and then 1 card from each of those 3 denominations. The number of ways to choose 2 cards from 4 is given by the combination formula: C(4,2) = 6. The number of ways to choose 3 denominations from 12 is given by the combination formula: C(12,3) = 220.
The number of ways to choose 1 card from each of 3 denominations is 4 x 4 x 4 = 64. Therefore, the total number of possible one pair hands is 13 x 6 x 220 x 64 = 1,098,240. Dividing this by the total number of possible hands gives us the probability of being dealt one pair, which is 1,098,240/2598960, or approximately 0.422, or about 42.2%.
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HELPP ITS THE FINAL PART OF THE TEST!!
Answer:
Graph C.
The question asks for the graph that consists of:
Non-negative values
Values that are, at most, 80
This means that any graphs where a value goes below 0 or above 80 do not work. C is the only graph that does not go below 0 or above 80.
Samantha drove 468 miles from Omaha, Nebraska to Chicago, Illinois. She drove 251 miles during the first day. Set up an equation (where D represents the distance traveled during the second day) that could be used to find the distance Samantha traveled during the second day. Then, SOLVE the equation.
Answer:
the equation: 251+D=468
the answer: 217 miles
Step-by-step explanation:
Samantha drove a total of 468 miles, and she drove 251 miles on the first day. D would represent the distance traveled on the second day. The added distance traveled on both days will equal the total amount driven.
So, our equation will be 251 + D = 468.
To solve the equation, we can use the inverse operations method in order to isolate D(the variable) To do that, we have to subtract 251 from both sides(both sides so that the equation still has the same value).
D=468-251.
Now we can simplify the equation to:
D=217.
The answer is: 217 miles will be traveled on the second day.
how do i do this question
Answer:
Step-by-step explanation:
i9 have no idea sorry
On a certain hot summer's day,482 people used the public swimming pool. The daily prices are $1. 50 for children and $2. 00 for adults. The receipts for admission totaled 815. 50 How many children and how many adults swam at the public pool that day?
There were 297 children and 185 adults who swam that day. Let x be the number of children and y be the number of adults who swam that day.
According to the problem, we know that:
x + y = 482 ---(1) (total number of people who swam)
1.5x + 2y = 815.5 ---(2) (total revenue generated)
To solve for x and y, we can use any method of solving a system of linear equations, such as substitution or elimination. Here's how to solve using the substitution method:
From equation (1), we can write:
x = 482 - y
Substituting this into equation (2), we get:
1.5(482 - y) + 2y = 815.5
Simplifying and solving for y, we find:
723 - 1.5y + 2y = 815.5
0.5y = 92.5
y = 185
Substituting this value of y back into equation (1), we find:
x + 185 = 482
x = 297
Therefore, there were 297 children and 185 adults who swam that day.
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Find the equation of the parabola whose equation of the tangent at vertex is [tex]3x - 4y = 5[/tex] and focus at the point [tex](1, 2)[/tex].
Answer: The equation of the tangent to a parabolic curve y = ax^2 + bx + c at the point (h, k) can be expressed as:
y = a(x - h)^2 + k
So, we know the equation of the tangent at vertex of the parabolic curve is 3x - 4y = 5, so the vertex of the parabolic curve is (h, k) = (2, -3/2).
The equation of a parabolic curve with vertex (h, k) and focus (h, k + p) is given by:
y = a(x - h)^2 + k, where a = -1/4p.
So, substituting the values of the vertex (2, -3/2) and the focus (1, 2) into the above equation, we have:
-3/2 = a(2 - 2)^2 - 3/2, so a = -1/4p.
And, substituting the values of the focus (1, 2) into the equation y = a(x - h)^2 + k, we have:
2 = -1/4p(1 - 2)^2 - 3/2, so p = 1/2.
So, the equation of the parabolic curve with focus (1, 2) and vertex (2, -3/2) is:
y = -1/4 * 1/2 * (x - 2)^2 - 3/2.
This is the equation of the parabola that has the equation of the tangent at vertex 3x - 4y = 5 and focus at the point (1, 2).
Step-by-step explanation:
Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of \dfrac{5}{4} 4 5 start fraction, 5, divided by, 4, end fraction?
If lines A, B and C shows proportional relationships, then the line A has a constant of proportionality between y and x is 5
Given the line A, B and C
The constant of proportionality is the ratio of the y coordinates to the x coordinate
k = y /x
Where k is the constant of proportionality
Consider the line A
One point on the line = (1, 5)
Constant of proportionality K = 5/1
= 5
Consider the line B
One point on the line = (3, 5)
Constant of proportionality k = 5/3
Consider the line C
One point on the line = (7, 5)
Constant of proportionality = 5/7
Therefore, the line A has the constant of proportionality of 5
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The given question is incomplete, the complete question is
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 5?
how many pattern block trapezoids would create 2 hexagons
The right response is, "5 hexagons are made up of 15 pattern block trapezoids."
Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.
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What is the graph of the following function? Click on the graph until the correct one appears.
g(x) = {<1}X-2, X21-4x+3, x < 1
Pls i need help !!!
The graph of the piecewise function is given by the image presented at the end of the answer.
How to graph the piecewise function?A piecewise function is a function that has multiple definitions, according to it's input values.
The two definitions for this problem are given as follows:
Until x = 1.Right of x = 1.For the values until x = 1, we have an increasing linear function, with intercept of y = -2, and finishes at the point (1,-1).
For the values greater than x = 1, the function is a linear function, starting at the point (1,-1), and decaying.
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uppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52 . using the empirical rule, what percentage of american women have shoe sizes that are between 6.54 and 9.58 ?
Using the empirical rule, we can conclude that approximately 68% of American women have shoe sizes between 6.54 and 9.58.
Using the empirical rule, we can say that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean.
To find the percentage of American women who have shoe sizes between 6.54 and 9.58, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:
z1 = (6.54 - 8.06) / 1.52 = -1.00
z2 = (9.58 - 8.06) / 1.52 = 1.00
Now, we can use the empirical rule to find the percentage of women with shoe sizes between z = -1.00 and z = 1.00. Since this interval corresponds to one standard deviation from the mean, we know that approximately 68% of the data falls within this range.
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12.
Rihana measured the length of her dining room. Her percent error was
-5%. The actual length of her dining room is 120 inches.
Part A What length, in inches, did Rihana measure?
Answer
Part B Explain how you got your answer
Part B Explain how you found your answer.
Answer:
114 inchesStep-by-step explanation:
Part A:
The actual length of the dining room is 120 inches and the percent error is -5%, which means that Rihana's measurement was too short. To find the length she measured, we need to add 5% to the actual length:
120 inches * (1 + (-5%)/100) = 120 inches * (1 - 0.05) = 120 inches * 0.95 = 114 inches
So Rihana measured the length of her dining room as 114 inches.
Part B:
To find the length that Rihana measured, we used the formula for calculating percent error:
measured length = actual length * (1 + (percent error)/100)
Since the percent error was negative (-5%), this means that Rihana's measurement was too short, so we subtracted the percent error from 100%. To do this, we added the negative percent error to 100%:
100% + (-5%) = 100% - 5% = 95%
So the measured length was 120 inches * 95% = 114 inches.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
The length of the dining room measured by Rihana with a -5% percent error is 114 inches.
What is a percent error?
The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.
A) Given the percent error as -5%.
The actual length = 120inches
Now error in measurement = 5% of 120 inches = 6 inches.
Since there is a negative sign in percent error, the measured value is 6 inches less than actual value.
Therefore the measured value = 120 - 6 = 114 inches.
B) We are given the actual length as 120 inches.
There is a -5% error in the measured value.
This means that the measured value is (5% of 120) inches less than actual value. It is identified as less because of the negative sign.
So the measured value is = 120 - 0.05*120 = 114 inches.
Therefore the length of the dining room measured by Rihana with a -5% percent error is 114 inches.
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Topic: Using the rational theorem to find all zeros of a polynomial
Question: 5x^4-26x^3-64x^2+9x-14
The zeroes of 5x^4-26x^3-64x^2+9x-14 are -2, 7 , [tex]\frac{1+i\sqrt{19} }{10}[/tex] and [tex]\frac{1-i\sqrt{19} }{10}[/tex] by Using the rational theorem.
f(x) = [tex]5x^{4} - 26x^{3} - 64x^{2} +9x -14[/tex]
Now, put x = -2
f(-2) = [tex]5(-2)^{4} - 26(-2)^{3} - 64(-2)^{2} +9(-2) -14[/tex]
f(-2) = 0
so, -2 is a zero of f(x)
or (x+2) is a factor of [tex]5x^{4} - 26x^{3} - 64x^{2} +9x -14[/tex]
putting x = 7
f(7) = [tex]5(7)^{4} - 26(7)^{3} - 64(7)^{2} +9(7) -14[/tex]
f(7) = 0
so, (x-7) is a factor of [tex]5x^{4} - 26x^{3} - 64x^{2} +9x -14[/tex]
Now (x+2)(x-7) would also be a factor so
Divide [tex]5x^{4} - 26x^{3} - 64x^{2} +9x -14[/tex] by (x+2)(x-7)
or divide [tex]5x^{4} - 26x^{3} - 64x^{2} +9x -14[/tex] by [tex]x^{2} -5x -14[/tex]
The quotient or other factor will be [tex]5x^{2} - x +1[/tex]
[tex]5x^{2} - x +1[/tex]
By factorizing [tex]5x^{2} - x +1[/tex]
The other two zeroes are [tex]\frac{1+i\sqrt{19} }{10}[/tex] and [tex]\frac{1-i\sqrt{19} }{10}[/tex]
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a cup of soup is left on a countertop to cool. the table below gives the temperatures , in degrees fahrenheit, of the soup recorded over a 10-minute period. write an exponential regression equation for the data, rounding all values to the nearest thousandth.
Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup.
Calculate the x and y means in step one.
X's average: (0 + 10) / 2 = 5.
(95 + 88.5) / 2 = 91.75 is the mean of y.
Calculate the variance and covariance in step two.
(-5 6.5) + (5 -2.5) = 32.5 is the covariance.
X's variation is (5 0).
2 + (10 − 0)2 = 125
Calculate the regression coefficients in step three.
x = -32.5 / 125 = -0.26 where a = Covariance / Variance of x
Mean of x = 91.75 (-0.26 5) = 99.97 where b = Mean of y a Mean of x
Step 4: Compose the equation for exponential regression.
y = -0.0063e^0.16x + 99.97
Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup. We must first determine the means of x and y before we can solve the problem. By summing the first and last values of x and dividing by 2, the mean of x is 5 and the mean of y is 91.75. (calculated by adding the first and last y values and then dividing by 2).
Calculating the covariance and variance comes next. The difference between each x and the mean of x is multiplied with the difference between each y and the mean of y to determine the covariance. By squaring the difference between each x and the mean of x, the variance of x is determined. The regression coefficients a and b can be determined when the covariance and variance have been computed.
Learn more about regression here
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The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
The square cut in half makes the right side a right triangle.
The equation for these types of questions is short side * square root of 2 = long side
So that means that x * [tex]\sqrt{2}[/tex] = 10
So then divide by square root of 2 on both sides to cancel it out
x = 10/[tex]\sqrt{2}[/tex]
Then to simplify it multiply the top and bottom by square root of 2, since you can't have an irrational number in the denominator
That makes it [tex]\frac{10\sqrt{2} }{2}[/tex]
Divide 10/2 to make [tex]\frac{5\sqrt{2} }{2}[/tex]