Answer: 2
Step-by-step explanation:
There are 2 possible outcomes for one event of a binomial experiment
How to determine the number of outcomes?The event is said to be a binomial experiment
The bi in binomial means 2
This means that there are 2 possible outcomes in one event,.
The outcomes are true or false
Hence, there are 2 possible outcomes for one event of a binomial experiment
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are the given lines parallel? Explain your reasoning
Answer:
Yes
Step-by-step explanation:
Because, without the x, it makes them both a horizontal line. Therefore, never intersecting. Meaning, parallel.
Express as a complex number in simplest a+bi form:
7-8i/-5+3i
[tex] \Large{\boxed{\sf z= -\dfrac{59}{\: 34} + \dfrac{19}{34}i}} [/tex]
[tex] \\ [/tex]
Explanation:To express the given complex number in a + bi form, also known as algebraic form, we will need to define what the conjugate of a complex number is.
[tex] \\ [/tex]
What is the conjugate of a complex number?[tex] \\ [/tex]
[tex] \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} [/tex]
[tex] \\ [/tex]
The conjugate of z, [tex] \overline{ \sf z}, [/tex] is the complex number formed of the same real part as z but of the opposite imaginary part.
Since a is the real part of z, and b is its imaginary part, this can be expressed as:
[tex] \sf If \: z = a + ib \:, then \: \overline{ \sf z} = a - ib [/tex]
[tex] \\ [/tex]
Let's express the complex number we're given in algebraic form.[tex] \\ [/tex]
[tex] \sf z = \dfrac{7 - 8i}{ - 5 + 3i} \\ \\ \\ \diamond \sf Multiply \: both \: the \: numerator \: and \: the \: denominator \: by \: the \: conjugate \: of \: - 5 + 3i. \\ \\ \\ \sf z = \bigg(\frac{7 - 8i }{ - 5 + 3i \: } \bigg) \times \bigg( \frac{ - 5 - 3i}{ - 5 - 3i} \bigg) = \dfrac{(7 - 8i)( - 5 - 3i)}{( - 5 + 3i)( - 5 - 3i)} \\ \\ \\ \diamond \: \sf Expand \: knowing \: that \: (a + b)(c + d) = ac + ad + bc + bd. \\ \\ \\ \\ \sf z = \dfrac{7( - 5) + 7( - 3i) + ( - 8i)( - 5) + ( - 8i)( - 3i)}{( - 5)( - 5) + ( - 5)( - 3i) + 3i( - 5) + 3i ( - 3i)} \\ \\ \\ \sf z = \dfrac{ - 35 - 21i + 40i + 24 {i}^{2} }{25 + 15i - 15i - 9 {i}^{2} } = \dfrac{24 {i}^{2} + 19i - 35 }{25 - 9{i}^{2} } \\ \\ \\ \diamond \sf \: Substitute \: {i}^{2} = - 1. \\ \\ \\ \sf \: z = \dfrac{24( - 1) + 19i - 35}{25 - 9( - 1)} = \dfrac{ - 24 + 19i - 35}{25 - ( - 9)} = \dfrac{ - 59 + 19i}{34} \\ \\ \\ \diamond \: \sf Simplify \: the \: expression. \\ \\ \sf \: z = \dfrac{ - 59 + 19i}{34} = \dfrac{ - 59}{ \: \: 34} + \dfrac{19i}{34} \\ \\ \\ \\ \implies \boxed{ \boxed{ \sf z = - \dfrac{59}{34} + \dfrac{19}{34}i }} [/tex]
[tex] \\ \\ [/tex]
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Please help me solve this problem ASAP!
Answer:
angles
Step-by-step explanation:
the angles of these triangles are same
z is equivalent to p
w is equivalent to h
x is equivalent to r
-1+2x=x+3
help assappp
Answer:
4
Step-by-step explanation:
add the 1 to the 3 turns to 2x=x+4, then subtract the 1x to the 2x turns to 1x=4 or x=4
Answer:
4
Step-by-step explanation:
Can anyone help me ASAP!
Answer:
False
Step-by-step explanation:
Make me brainliest
Write how much Julie makes as a rate. What is the unit rate?
Answer:
rate: $12 dollars per hour, 6$ per half hour, etc.
unit rate: $12 per hour
work:
unit rate is how much of per one. 12 per hour is already in unit rates.
Solve: 2x + 15 = 43 - 5x
Answer:
x = 4
Step-by-step explanation:
2x + 15 = 43 - 5x
2x + 5x = 43 - 15
7x = 28
x = 28/7
x = 4
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation
2x +15 = 43 - 5x
2x +15 = 43 + - 5x
2x +15 = - 5x + 43
Step 2: Add 5x to both sides
2x + 15 + 5x= - 5x + 43 + 5x
7x +15 = 43
Step 3: Subtract 15 from both sides.
7x +15 -15 = 43 - 15
7x = 28
Step 4: Divide both sides by 7.
7x/7 = 28/7
Therefore the X = 4
Name 5 decimals between 3 and 4
Answer:
3.1
3.2
3.3
3.4
3.5
Step-by-step explanation:
Here are the five decimals between 3 and 4:
3.2, 3.6, 3.7, 3.8, and 3.9
What are decimals?
One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
Therefore, the five decimals between 3 and 4 are 3.2, 3.6, 3.7, 3.8, and 3.9
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Use the distributive property to remove the parentheses (x - 12) 7
Answer:
6999999
Step-by-step explanation:
Funny Number.
I NEED HELP RIGHT AWAY!!!! I'LL GIVE YOU 30 POINTS AND TRY TO MARK YOU AS BRAINLIST.Q: What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
The variables are the alphabets which can have any value depending on the relationship with the other numbers and variables in the equations.
To create the graph, select the correct relationship and then enter the values for the variables.
The graph is the representation of the equation in the form of lines or shapes.
The correct method to create a graph is to find the relationship of the variables and put their values to get the exact points.
The points are joined together to draw the required line or shape formed.
The best option of the given question is:
To create the graph, select the correct relationship and then enter the values for the variables.
For example in the given graph we see that the rate is increasing as the mass is decreasing.
The mass is plotted along x-axis and the rate along the y-axis.
Their relationship that they are inversely proportional i.e. one increases as the other decreases can be seen in the given graph.
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can somebody please help m eits 9th grade math im so confused !
Answer:
Option 3: (5, 1)
Step-by-step explanation:
There are several ways of solving for systems of linear equations, either through graphing, substitution, or elimination.
The graphing method is the easiest, as you only need to plot points on the graph using the y-intercepts and the slopes.
I will be demonstrating the graphing method.
Given the systems of linear equations:
Equation 1: y = x - 4
where the slope, m = 1, and y-intercept (0, -4).
Equation2: y = -x + 6
where the slope, m = -1, and y-intercept (0, 6).
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b).
Graphing Instructions:For Equation 1, plot the y-intercept, (0, -4) on the graph. Then use the slope, m = 1 (rise 1 unit, run 1 unit) to plot other points on the graph. Repeat this process until you have enough points to connect a line with.
Repeat these same procedures for graphing Equation 2, start by plotting its y-intercept at (0, 6), and its slope, m = -1 (down 1 unit, run 1 unit).
Solution:
The intersection of both lines occurs at point, (5, 1), which is solution to the given systems of linear equations. Therefore, the correct answer is the third option, (5, 1).
Attached is the screenshot of the graphed systems of linear equations, where it shows the point of intersection at (5, 1).
Find the length in the kite labeled x
12 in.
9 in.
13 in
Answer:
I think its 14
hope its right
Step-by-step explanation:
20% = 0.2 (true or false)
Answer:
TRUE
Step-by-step explanation:
20% is a 5th part of 100% which means that the same part of 1 is 0.2
Answer: its true
Step-by-step explanation: took the test
find the largest area of an isosceles triangle inscribed in a circle of radius 3
Answer:
Here is the answer and explanation all together
The largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
For this case, we can construct a general circle and a variable isosceles triangle in it.
Let the radius of the circle be 'r' units.
For isosceles triangle inscribed in that circle, its vertex(intersection of two congruent sides) be fixed, and other two vertex are allowed to move equally on both the sides of that first vertex.
Those rest two vertices make a chord in that circle. Let the perpendicular distance from the center be 'd' units of that chord.
Then, by Pythagoras theorem for triangle OBD, we get:
[tex]|OB|^2 = |OD|^2 + |BD|^2\\|BD| = \sqrt{|OB|^2 - |OD|^2}\\|BD| = \sqrt{r^2 - d^2} \: \rm units[/tex]
Thus, as perpendicular from center to a chord bisects it, we get:
[tex]|BC| = |BD| + |DC| = |BD| + |BD| = 2\sqrt{r^2 - d^2}[/tex]
The distance from the first vertex (A) to the mid of the line segment BC is: r - d units.
Thus, area of the considered isosceles triangle is:
[tex]A = f(r,d) = \dfrac{1}{2} \times (r - d) \times 2\sqrt{r^2 - d^2} = (r-d)^{1.5}(r+d)^{0.5}[/tex]
At r = 3 units, we get:
[tex]f(3,d) = g(d) = (3-d)^{1.5}(3+d)^{0.5}[/tex]
Finding the value of 'd' for which the function g(d) becomes maximum will give us the maximum area.
Finding first and second derivative of g(d) with respect to 'd', we get:
[tex]g(d) = (3-d)^{1.5}(3+d)^{0.5}\\g'(d) = -1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5}\\g''(d) = -1.5[-0.5(3-d)^{-0.5}(3+d)^{0.5}] + 0.5[-0.5(3+d)^{-1.5}(3-d)^{1.5}]\\[/tex]
Putting first rate = 0 to find the critical points, we get:
[tex]g'(d) =- 1.5(3-d)^{0.5}(3+d)^{0.5} + 0.5(3+d)^{-0.5}(3-d)^{1.5} = 0\\3(3-d)^{0.5}(3+d)^{0.5} = (3+d)^{-0.5}(3-d)^{1.5}\\3(3+d) = (3-d)\\9 + 3d = 3 - d\\d = 1.5[/tex]
At d = 1.5, the second rate of g(d) evaluates to:
[tex]g''(1.5) = -1.5[-0.5(3-1.5)^{-0.5}(3+1.5)^{0.5}] + 0.5[-0.5(3+1.5)^{-1.5}(3-1.5)^{1.5}]\\g''(5) = 0.75(1.5)^{1.5}(4.5)^{0.5} -0.25(4.5)^{-1.5}(1.5)^{1.5}\\g''(5) =[/tex]
The area of the isosceles triangle is maximum, and is evaluated as:
[tex]A_{max} = f(3,1.5) = g(1.5) = (3-1.5)^{1.5}(3+1.5)^{0.5} \approx 3.897 \: \rm unit^2[/tex]
Thus, the largest area of an isosceles triangle that is inscribed in a circle of radius 3 units is 3.897 sq. units approx.
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Which expression is NOT equivalent to the others?
a. 5+ (-7)
b. 5 - 7
c. 7 - (-5)
d. -7 + 5
Answer:
7-(-5)
Step-by-step explanation:
The other answers are all equal to -2. However, the answer for c is 12 which is the odd one out. Hope this helps :)
Find the slope of the line
Answer:
Step-by-step explanation:
A
-16(x+1)=-4(2+4x) solve for x
pls help!
Answer:
No solution
Step-by-step explanation:
[tex] \\ - 16(x + 1) = - 4(2 + 4x)[/tex]
[tex] \\ \mapsto - 16x - 16 = - 8 - 16x[/tex]
[tex] \\ \mapsto - 16 = - 8 - 16x + 16x[/tex]
[tex] \\ \mapsto - 16 = - 8[/tex]
Do not have solution
Convert 220 feet into yards. Round your answer to the nearest tenth.
Answer:
73.33333 Yards = 74 Yards
Step-by-step explanation:
1 yard = 3 feet
220 ft * 1 yard / 3 ft
73.33333 = 74 yd
Step-by-step explanation:
the other answer is essentially correct but wrong for rounding.
again, 1 yd = 3 ft
220/3 = 73.3333... yd
rounded to the nearest tenth this is
73.3 yd
please help with this question
f(n)=2.55+3.75(n), n>0
Answer:
SR= 2.55
GC=3.75
n=?
n rep number of games
SR shoe rental
GC Game cost
f(n)=2.55+3.75n
2.55=3.75n
n=2.55÷3.75
n=0.68
What is f(5)?
Dhejdk
Answer:
5f
Step-by-step explanation:
What is an equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x-3y=18
Answer:
Step-by-step explanation:
4x-3y=18
3y=4x-18
y=4/3x-6
By y=mx+c , Slope of line 4x-3y=18 is 4/3
Since the required line is perpendicular to the line 4x-3y=18 ,
slope of required line * Slope of line 4x-3y=18 = -1
slope of required line = -1/(4/3) = -3/4
Since the required line passes through (8,-8)
By point-slope form,
y-(-8)= -3/4(x-8)
y= -3/4x-2
choose the scenario that could be represented by 5/6
A. five-foot piece of firewood is cut into six equal pieces
B. Six cups of dog food are fed to five dogs equally
C. A five-foot piece of firewood is cut into six equal pieces
D. Six ounces of cereal are shaded equally among five people
daniela is intervewing for a job.she wants her take-home pay to be at least $51,000.what is the least salary she can earn if she pays 15% income tax?
Answer:
60,000
Step-by-step explanation:
hope this helps x
Paul brought $24.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Paul had $2.00 left over after buying these items. What was the cost of each item
Answer:
so do
24.50-13=11.50
11.50-12.00= answer
Step-by-step explanation:
I think so
What does it mean when two things have the same rate?
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
What does it mean when two things have the same rate?
Having the same rate of something else means it's synchronized or the same. A real world example could be two cars going the same speed, so not only are they going at the same pace, but the two cars have the same rate.
Hope this helped, if you have additional questions let me know!
or
Hugo works for the Produce and Pantry grocery store as a bagger. He earns $57.50 for a 5-hour shift. How much does he earn per hour?
Answer:
$11.50
Step-by-step explanation:
57.50 in 5 hours
→ Divide 57.50 by 5
$11.50
the sum of two numbers is 98. if the larger number is divided by the smaller the quotient is 4 with a remander of 13. Find the two numbers
Answer: x = 81, y = 17
Step-by-step explanation:
x + y = 98
x/y = 4/13/y
x/y = 4y + 13/ y
x = 98 - y
(98 - y) / y = (4y+ 13) / y
Therefore
98 - y = 4y + 13
Collect like terms
-4y - y = 13 - 98
-5y = -85
Divide both sides by-5
y = 17
x = 98 - y
x = 98 - 17
x = 81
The two numbers x and y are 81 and 17 respectively.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
Dividend ÷ Divisor = Quotients
Given that the sum of two numbers is 98.
Let x and y be the two numbers
x + y = 98
Thus, the larger number is divided by the smaller quotient is 4 with a remainder of 13.
x/y = 4/13/y
x/y = 4y + 13/ y
x = 98 - y
(98 - y) / y = (4y+ 13) / y
Therefore,
98 - y = 4y + 13
Collect like terms;
-4y - y = 13 - 98
-5y = -85
Divide both sides by-5;
y = 17
x = 98 - y
x = 98 - 17
x = 81
Therefore, the two numbers x and y are 81 and 17 respectively.
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Someone help jm so confused
Sorry about that.
(21 - 17)² + 3⁴ =
4² + 81 =
16 + 81 =
Answer: 97
Answer:
97
Step-by-step explanation:
(21-17)²+3⁴=4²+81
=16+81
=97
TRAVEL Two trains leave Raleigh at the same time, one traveling north, and the other south. The first train travels at 50 miles per hour and the second at 60 miles per hour. In how many hours will the trains be 275 miles apart
The amount of snow on the ground increased by 4 inches between 1 p.m. and 6 p.m. What integer represents the amount of snow that fell during those five hours?
Answer:
The snow from each event melts off before the next accumulation and no snow is on the ground at your scheduled time of observation. The total snowfall for that reporting 24-hour day is the sum of the three separate snow squalls, 6.7 inches, even though the snow depth on your board at observation time was zero. Snow often melts as it lands. your welcome!