Answer:
It’s either D as the answer or A
Step-by-step explanation:
Write an equation in slope-intercept form of the line perpendicular to y = -1/5 + 1/4 that passes through the point (3, 4).
Answer:
y=5x-11
Step-by-step explanation:
If line is perpendicular to another line, the slope is the reciprocal and opposite. So our slope is 5 because the reciprocal opposite of -1/5 is 5.
Using point slope form: y-4=5(x-3)
Simplify: y-4=5x-15
Simplify: y=5x-11
y=5x-11 is the answer
Hope this helped!
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
Answer:
x=30 y=67 z=83
Step-by-step explanation:
The solution is therefore (30,67,83).
Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.
a. Represent this in a Venn Diagram and determine how many play both the violin and
piano.
B.find the probability that the student
I.plays the violin but not the piano
ii.does not play the violin
iii.plays the piano but not the violin
Answer:
(a)9
(b)I. 0.28125
II. 0.46875
III. 0.25
Step-by-step explanation:
There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32
\(1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7\)
(a)The Venn diagram is attached below.
\(n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\\)
Therefore, 9 students play both the violin and piano.
(b)
I. Probability that the student plays the violin but not the piano
Number of Students who play violin only =18-x=18-9=9
\(P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125\)
ii.Probability that the student does not play the violin
Number of Students who does not play violin only =17-x+7=17-9+7=15
P(does not play violin only)
\(= \dfrac{15}{32}\\=0.46875\)
iii.Probability that the student plays the piano but not the violin
Number of Students who play piano only =17-x=17-9=8
\(P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25\)
explain how to use a number line to find the difference of -6 - (-2 1/2)
Answer:
Start at the number that is being subtracted, in this case it's -6. When a negative number is subtracted from a negative number, the two are added. Therefore, move left from -6 on the number to add on the -2 1/2, which should lead you to -8 1/2 (if you do it right lol :) )
boom :)
A straight railway AB is 200km long, running from east to west. A
factory C is situated 30km due north of the point A. Now a straight
highway is to be built from a point D on AB to C. Assume that the
cost for transporting goods per ton per kilometer by railway is
4/5 as much as the cost by highway. In order to minimize the cost of transporting raw materials from the supply station B to the factory C,
where should D be located on AB?
D should be located on point B on line AB to minimize the cost of transportation.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
AB = 200 km
AC = 30 km
Applying the Pythagorean theorem we get,
When D is located in the midpoint of AB.
DA = 100 km
DC = AC² + DA²
DC² = 30² + 100²
DC² = 900 + 10000
DC² = 10900
DC = 104
The distance train will travel.
= 100 + 104
= 204 km
When D is located at B.
DA = 200 km
Now,
DC = 30² + 200²
DC² = 900 + 40000
DC = 202 km
The distance the train will travel is 202 km.
We see that,
When D is at point B on line AB the cost of transporting raw materials is minimum.
Thus,
D should be located on point B on line AB to minimize the cost of transportation.
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Which pairs are like terms in the expression below? Select all that apply.
25y + 15x – 0.2y – 6 + (–2)
A. 25y and 15x
B. 25y and –0.2y
C. 15x and –0.2y
D. –0.2y and 2
E. –6 and –2
Please help, and give clear answer!
9514 1404 393
Answer:
B, E
Step-by-step explanation:
Like terms are ones that have the same variable, or that have no variable at all.
There are two terms with y as the variable. These are like terms.
There are two constant terms (with no variable). These are like terms.
The like term pairs are ...
25y and -0.2y (B)-6 and -2 (E)Which of the following is true of protecting classified data?
True statement for Protecting classified data is classified material must be appropriately marked.
Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.
Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.
Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.
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Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.
Suppose an angle has a measure of 2.1 radians.
This angle (with a measure of 2.1 radians) is what percent of a full rotation?
 %
Use your work in part (i) to determine the measure of the angle in degrees.
 degrees
Answer: (i) This angle is 33.41% of the full rotation.
(ii) 120.38°
Step-by-step explanation:
GIven: Measure of full rotation = 2π radians
Measure of an angle = 2.1 radians.
The percent of this angles of a full rotation = \(\dfrac{2.1}{2\pi}\times100\%\)
\(=\dfrac{2.1\times7}{2\times22}\times100\% \ \ \ \ [\pi =\dfrac{22}{7}]\\\\=33.41\%\)
i.e. This angle is 33.41% of the full rotation.
In degrees,
\(\text{ 2.1 radians}=2.1\times\dfrac{180}{\pi}\\\\=2.1\times\dfrac{180}{3.14}\approx120.38^{\circ}\)
\(2.1\text{ radians}\) is \(33.4\%\) of a full rotation and is equivalent to \(120.2^\circ\)
The relationship between degree and radian measures is
\(1\text{ radian}=\dfrac{180}{\pi}^\circ\)
Part 1We want to express \(2.1\text{ radians}\) as a percentage of a full rotation.
\(\dfrac{2.1}{2\pi}\times100\%=\dfrac{210}{2\pi}\%\\\\\approx33.4\%\)
Part 2How do we determine the measure of an angle (in degrees) given the percentage? Simply multiply the percentage by the complete/full rotation (that is \(360^\circ\))
\(33.4\%\times360^\circ\\\\=\dfrac{33.4}{100}\times360^\circ\\\\\approx120.2^\circ\)
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HELP FAST!!!!!!!!!!!!!!
What is the solution to the image?
Answer:
x=8
Step-by-step explanation:
We have been given with the function:
Here, we have same base of logarithmic function on both sides of the equation.
So, we will equate the values on right hand side and left hand side of the equation we will get
After simplification we will get
After further simplification we will get
Hence,
Therefore the correct answer is 8.
What is the perimeter of the shape below? Use 3.14 for pi. Answer with numbers only, no units.
DO NOT ROUND THE ANSWER
Step-by-step explanation:
The circumference of a WHOLE circle = pi * d
you have 1/2 of this and d = 10 ft
so 1/2 pi * 10 PLUS the two straight sides + 8+6
1/2 pi * 10 + 8 + 6
5 pi + 8 + 6
5 * 3.14 + 14 = 29.7 ft
so how do you know if D IS WONG!!!!
Answer:
What are you referring to?
Step-by-step explanation:
what is: a + 1/10=5/10 ? pls dont delete this its school work.
Answer:
a = 2/5
Step-by-step explanation:
a + 1/10 = 5/10
Subtract 1/10 from both sides of the equation.
a + 1/10 = 5/10
-1/10 -1/10
a = 4/10
This answer is not incorrect but we usually need to simplify it if possible.
4/10 can be reduced to 2/5.
a = 2/5
Answer:
a=2/5
Step-by-step explanation:
To solve this, we first need to isolate the a so we can solve from there
First, we subtract 1/10. But whatever we do to one side we have to do to the other side. So when we subtract 1/10 from the left side we cancel it out and we subtract 1/10 from the right side so 5/10-1/10
So our equation becomes…
a=5/10-1/10
We can simplify this to…
a=4/10
4/10 is equal to 2/5
So that is our final answer
Now since we have nothing else to do that is our final answer
PLEASE AWARD BRAINLIEST I REALLY NEED TO LEVEL UP!
en una escuela por cada 5 estudiantes hombres hay 13 estudiantes mujeres si en total de los estudiantes es de 34,000 ¿cuántos hombre y mujeres hay ?
There are 9444 men and 24555 females are present.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total students = 34000
For every 5 male students there are 13 female students.
So, the number men are
= 5/18 x 34000
= 9444
and, number of women
= 13/ 18 x 34000
= 24, 555.
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The question attached here is in other language whose translation is given below.
In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?
Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,0)
Point
(3,18)
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)
simplify
\(\frac{5}{3x} ×\frac{9x}{20}\)
5/3 ÷ 9/20 = 5/3 × 20/9
Just Just Just Just Just Just Just that simple bro
Part 1 :What conjecture can you make about the sum of the first 41 positive odd numbers? make a conjecture. choose the correct answer below.1. the sum is the product of the number of terms and two.2. the sum is equal to the number of terms squared.3. the sum is the product of the number of terms and the number of terms plus one.4. the sum is the product of the number of terms and the number of terms minus one.-Part 2 : what is the sum in a whole number?
SOLUTION:
Step 1:
In this question, we are meant to make a conjecture about the sum of the first 41 positive odd numbers:
\(1,\text{ 3, 5 , 7, 9, 11, }\ldots.\)\(\begin{gathered} \text{Using the sum of the first 41 terms ( Arithmetic progression)} \\ S_{\text{n }}=\text{ }\frac{n}{2}\lbrack\text{ 2a + ( n - 1) d\rbrack} \\ Sn=\text{ Sum of n terms} \\ n\text{ = number of terms = 41} \\ \text{a = first term = 1} \\ d\text{ = common diference = 3 - 1 = 2} \end{gathered}\)Step 2:
\(\begin{gathered} S_{41}=\text{ }\frac{41}{2}\lbrack\text{ 2(1) + ( 41- 1) 2\rbrack} \\ S_{41}=\text{ }\frac{41}{2}\lbrack\text{ 2 + ( 40 x 2 ) \rbrack} \\ S_{41}=\text{ }\frac{41}{2}\lbrack\text{ 2 + 80\rbrack} \\ S_{41}=\text{ }\frac{41}{2}\text{ X }\frac{82}{1} \\ S_{41}\text{ = 41 X 41 = 1681} \end{gathered}\)Step 3:
Part 1: From the above calculations, we can see clearly that:
This corresponds to OPTION 2 :
The sum is equal to the number of terms squared.
Part 2: The sum in a whole number is 1681
The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft. 0.737 0.843 0.871 0.911 0.920 0.932 0.961 1.010 1.039 1.050 1.102 1.120 1.138 1.161 1.241 1.352 (a) Compute and compare the values of the sample mean x and median . (Round your answers to four decimal places.) x = flight hours/104 = flight hours/104 (b) By how much could the largest sample observation be decreased without affecting the value of the median? (Enter your answer to three decimal places.) flight hours/104
On solving the provided question we got to know that, the median value won't change if the greatest sample Observation is decreased to 1.3735.
What is median?One of three ways to gauge central tendency is the median. The center position of a record is specified when describing it. A measure of central tendency is what this is. The mean, median, and mode are the three most frequently used indicators of central tendency.
The sum of all the values is divided by the total number of values, giving the mean value.
\(0.736 + 0.863 + 0.865 + 0.913 + 0.915 + 0.937 + 0.983 + 1.001 + 1.011 + 1.064 + 1.109 + 1.132 + 1.140 + 1.153 + 1.253 + 1.397 = 16.472\\16.472 /16 = 1.0295\\1.0295 is the mean value\)
The number near the middle of the point is the median value. At the halfway point, there are two values.
\((1.001 + 1.011) / 2 = 1.006\\ 1.006 is the median value.\)
As a result, the median value, which depicts the middle value of the numbers in the result, is less than the mean value, which depicts the real middle value of the numbers if they were equally distributed.
Their difference is that 1.0295 - 1.006 = 0.0235
1.397 observations make up the biggest sample. It may be made smaller by taking the number and removing the difference between the mean and median.
Consequently, there is a 0.0235-point difference between the mean and median.
Therefore;
\(1.397 - 0.0235 = 1.3735\)
The median value won't change if the greatest sample Observation is decreased to 1.3735.
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Marco has a piece of wood that measures 9x1/10+6x1/100+4x1/1000. How can this measurement b written as a decimal
The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs). The answer will be 0.9+0.06+0.004= 0.964
What are mathematical operations?Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative integers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. The set that the values created are contained in is known as the codomain, while the set that the operation really produced is known as the codomain of definition, active codomain, image, or range. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.
A scalar can be multiplied by a vector to create another vector (a process known as scalar multiplication), and two vectors can be combined to make a scalar quantity in an inner product operation. An operation may or may not have specific characteristics, such as being idempotent, associative, commutative, or anticommutative.
The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs).
9x1/10+6x1/100+4x1/1000
0.9+0.06+0.004= 0.964
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Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?
25% of what number is 40?
Percent=unknown, Amount = 40, Base = 25
Percent = 25 %. Amount = 40. Base=unknown
Percent = 25 %. Amount = unknown. Base = 40
Percent = 40 %. Amount = 25. Base=unknown
Answer: percent: 25% amount: 40 base: unknown
Base after finding it: 160
Step-by-step explanation:
40/x = 25%/100
butterfly method
25x/25 = 4000/25
simplify; cancel out
x (aka the base) = 160
which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.
There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.
What connection exists between the mean and the standard deviation?First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:
The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.
What is the standard deviation and mean formula?The mean is calculated as follows:
Mean = (all data values added together) / (number of data values)
However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.
The standard deviation equation is as follows:
Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":
No of the size of the data collection, the mean rises by precisely K.
No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.
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in exercise 2 above, for what values of x and y does this tangent plane approximation give an exact value?
The tangent line approximation at x= 29.2 is
L(x) = 2x - 1 or L(29.2) = 57.4
Tangent Line:The intuitive idea is that a tangent plane “just touches” a surface at a point. The formal definition mimics the intuitive notion of a tangent line to a curve. Let z = f(x,y) be the equation of a surface S in R3, and let P=(a,b,c) be a point on S.
A function f differentiable at tangent.
x=a, we can find that the slope of the tangent of y=f(x) at (a,f(a)) can be found by writing . ). The resulting tangent line through (a,f(a)) and the gradient m=f'(a) is the point-gradient given by
y−f(a)=f'(a)(x−a) has an equation of the form This can also be expressed as y=f'(a)(x−a)+f(a).
Replacing the variable y by the expression L(x) yields points (a, f( a)) called L(x)=f′(a)(x−a)+f(a). , L(x) is just the new name for the tangent, and
f(x)≈L(x) for x near a.
f(x) = 2x - 1
x= 29.0 near to 29.2
f(29.0) = 58 - 1 = 57
f'(x) = 2
So, the point is (29.0, 57) and slope of tangent is 2 .
Tangent line , 57 = 2(29) + b
=> b = -1
then equation is 2x - 1 = y
We to calculate tangent line approximation give as an approximation for at x = 29.2
Tangent line approximation,
y = 2 (29.2) - 1 = 57.4
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The given question is incomplete, complete question is:
Suppose and f (x) = 2x - 1 , what does the tangent line approximation give as an approximation for x= 29.2??
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
7. Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her
friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84.
Find the cost per pound of turkey and the cost per pound of ham.
Answer:
t = 1.195pounds.
Step-by-step explanation:
The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.
By observing the question, we must notice this is a word problem and can be written mathematically thus;
For Casey:
15.4t + 11.6h = 38.51
For Jane:
10.2t + 7.3h = 24.84
Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.
Therefore, we can make t the subject of the formula in equation (2) as follows;
t = (24.84 - 7.3h)/10.2
Therefore, we can substitute the value of t into equation (1) to get;
15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51
37.51 - 11.023h + 11.6h = 38.51
0.577h = 1
h = 1.733pounds
Therefore, by substituting the value of h into equation 1, we get the value of t to be;
t = 1.195pounds.
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are
Answer:
A quick comparison of the sample variances suggests that the population variances are same or almost equal.
Step-by-step explanation:
The populations from which two samples are drawn are normally distributed.
The variable used to predict another variable is called an independent variable.
F- distribution is used for the test of two sample hypotheses of variances.
If two populations have equal variances then the test Statistic is nearly equal to 1.
t= s²₁/s²₂i
As the variances are almost or nearly equal the test statistic would be almost equal to 1.
I don’t know the answer
In Bill the Boring dryer there are black shirts, gray shirts, black sweaters, and gray sweaters. Bill is going to take one of these pieces of clothing out of the dryer at random to check if his clothes are completely dry. What is the probability that the piece of clothing Bill takes out is black or is a shirt
Answer:
Shirt probability: 100%
Black probability 50%
Step-by-step explanation:
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The probability that Bill takes out a black or a shirt is 0.8, or 80%
How to calculate the probabilityWe can use the following formula to calculate the probability that the piece of clothing Bill takes out is black or a shirt:
P(black or shirt) = P(black) + P(shirt) - P(black and shirt)
P(black) is the probability that the piece of clothing is black.
P(shirt) is the probability that the piece of clothing is a shirt.
P(black and shirt) is the probability that the piece of clothing is both black and a shirt.
The probability that the piece of clothing is black is 4 / 10 = 0.4. The probability that the piece of clothing is a shirt is 6 / 10 = 0.6. And the probability that the piece of clothing is both black and a shirt is 2 / 10 = 0.2.
So, the probability that the piece of clothing Bill takes out is black or a shirt is:
P(black or shirt) = 0.4 + 0.6 - 0.2
= 0.8
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Solve the equation
Y=2
then solve
W = -3 -2y
Answer:
w= -3-2*2 = -7
Step-by-step explanation:
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