The statement is false, and the coordinates of the midpoint of BC are given as follows: (5.5, 4.5).
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The coordinates of the endpoints of the segment are given as follows:
(6,8) and (5,1).
Hence the x-coordinate of the midpoint of BC is given as follows:
x = (6 + 5)/2 = 5.5.
The y-coordinate of the midpoint of BC is given as follows:
y = (1 + 8)/2 = 4.5.
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HELP PLEASE I WILL DO ANYTHING PLEASE
Answer:
k = 2ft
Step-by-step explanation:
sorry if this is wrong but i think that,
the line that k is on has another measurement, 4ft, and the vertical line has a measurement of 4ft and a measurement of 2ft ( which looks the same length as k )
basically the 2 lines are identical
Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equatic y = 0, z=0 Choose the correct answer below. Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. y = 0, z=0 Choose the correct answer below. A. The xy-plane B. The z-axis C. The point(0,0,0) D. The yz-plane E. The y-axis F. The xz-plane G. The X-axis
The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.
The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis. Thus, the correct answer is option G.A Cartesian coordinate system is a graph that uses geometric concepts to represent points in the plane using two-dimensional or three-dimensional space. Each point on the Cartesian plane is identified by its x-coordinate and its y-coordinate, where the x-coordinate refers to the horizontal position of the point, and the y-coordinate refers to the vertical position of the point.In the given pair of equations y=0 and z=0, the value of y is zero and the value of z is zero. Thus, the only value that could be other than zero is x, and all possible values of x would result in a point that is on the x-axis only. Therefore, the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis.The x-axis is a single, straight line running horizontally through the Cartesian plane. The x-axis has an infinite number of points, each with its own unique x-coordinate and a y-coordinate of 0, as well as a z-coordinate of 0 in the case of the three-dimensional Cartesian coordinate system. Thus, the geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.
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can someone help me !
Answer:
B
Step-by-step explanation:
It's the only one with an addition sign...... seems logical, let me know if you got it correct
what kind of question usually produces a wide variety of responses by allowing respondents to answer in whatever way seems appropriate to them?
A closed-ended question is one that doesn't permit many different answers.
Closed-ended questions are those that can only be answered by choosing one of a small number of possibilities. These questions are typically multiple-choice with a single-word response, such as "yes" or "no," or they can use a rating system (e.g. from strongly agree to strongly disagree).
Close-ended questions, such as "yes/no" or multiple choice questions with predetermined answers, are questions that demand a certain response from the respondent. Closed-ended inquiries are frequently used to collect quantitative data from respondents.
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How do I solve this problem. I have to find the missing side lengths and lease my sender as radicals in simplest form
Answer:
x = y = 2√2
Step-by-step explanation:
Find the diagram attached
To get the unknown side x and y, we need to use the SOH CAH TOA identity
Opposite side = x
Adjacent = y
Hypotenuse = 4
Sin theta = opposite/hypotenuse
sin 45 = x/4
x = 4 sin 45
x = 4 * 1/√2
x = 4 * 1/√2 * √2/√2
x = 4 * √2/√4
x = 4 * √2/2
x = 2√2
Similarly;
cos theta = adjacent/hypotenuse
cos 45 = y/4
y = 4cos45
y = 4 * 1/√2
y = 4 * 1/√2 * √2/√2
y = 4 * √2/√4
y = 4 * √2/2
y = 2√2
whats the diffrence of (6d + 5) - (2 - 3d)
The difference of (6d + 5) - (2 - 3d) is 9d + 3.
What is subtraction?The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given expression:
(6d + 5) - (2 - 3d)
Calculate the difference as shown below,
= 6d + 5 - 2 + 3d
= 9d + 3
Therefore, the difference of (6d + 5) - (2 - 3d) is 9d + 3.
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The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The likelihood that a shooter will hit the target at least 13 times is 27.92%.
Define the phrase "binomial distribution" please.The number of times the target is hit, X, has to be a random variable.The amount of trials ("n") equals 10 as a result of 15 bullets being fired.In such a binomial distribution, "p" symbolizes the probability of success and "q" represents the probability of failure (where q = p - 1)p = 0.89 with q = 0.11 as a result of the 0.89 chance of hitting the target.For such a binomial distribution, the probability density function equals the amount of successes ("x").
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.
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Multiply the binomials: (8a - 3b) (3a - 8b)
Answer:
24a²-73ab+24b²
Step-by-step explanation:
(8a - 3b) (3a - 8b) =
24a²-64ab-9ab+24b²
= 24a²-73ab+24b²
What is "fifty thousand, six hundred thirty-one" in standard form?
Answer:
50,631
Step-by-step explanation:
Answer:
55,631
Hope it helps!
Isaac invested $1,800 in an account paying an interest rate of 4. 7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 15 years?
If no deposits and withdrawals are made then the amount that will be in the account after 15 years is $3642.84 .
In the question ,
it is given that ,
the amount invested is $1800 ,
the rate of interest = 4.7% = 0.047
time required is = 15 years
the continuous compounding formula is
y = P×\(e^{r \times t}\)
y = 1800*(\(e^{0.047 \times 15}\))
y = 1800*\(e^{0.705}\)
Simplifying further , we get
y = 1800*2.0238
y = 3642.84
Therefore , If no deposits and withdrawals are made then the amount that will be in the account after 15 years is $3642.84 .
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I am playing in a racquetball tournament, and I am up against a player I have watched but never played before. I consider three possibilities for my prior model: we are equally talented, and each of us is equally likely to win each game; I am slightly better, and therefore I win each game independently with probability 0.6; or he is slightly better, and thus he wins each game independently with probability 0.6. Before we play, I think that each of these three possibilities is equally likely.
In our match we play until one player wins three games. I win the second game, but he wins the first, third, and fourth. After this match, in my posterior model, with what probability should I believe that my opponent is slightly better than I am?
Answer: If your opponent is winning 3:1 then they are probably better then you if they are winning more then you are. (or you are just having a bad day)
Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134
Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466
Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400
Let's denote the three possibilities as follows:
A: Equally talented, each player has a 0.5 probability of winning a game.
B: You are slightly better, with a 0.6 probability of winning a game.
C: Your opponent is slightly better, with a 0.6 probability of winning a game.
Given that you won the second game but lost the first, third, and fourth games, we want to find the probability of scenario C given this outcome. Let P(C) represent the prior probability of scenario C being true.
According to the given information, each of the three scenarios (A, B, and C) is equally likely, so P(A) = P(B) = P(C) = 1/3.
Now, let's update the probabilities based on the outcome of the match:
In scenario A:
The probability of winning the second game is 0.5, and the probability of losing the first, third, and fourth games is 0.5 each. Therefore, the overall probability of the observed outcome in scenario A is (0.5 * 0.5 * 0.5 * 0.5) = 0.0625.
In scenario B:
The probability of winning all three games (assuming you are slightly better) is (0.6 * 0.6 * 0.6) = 0.216.
In scenario C:
The probability of winning the second game (assuming your opponent is slightly better) is 0.4, and the probability of losing the first, third, and fourth games is 0.6 each. Therefore, the overall probability of the observed outcome in scenario C is (0.4 * 0.6 * 0.6 * 0.6) = 0.05184.
Now, we can update the probabilities based on Bayes' theorem:
Posterior probability of scenario A: P(A|data) = (P(data|A) * P(A)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
Posterior probability of scenario B: P(B|data) = (P(data|B) * P(B)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
Posterior probability of scenario C: P(C|data) = (P(data|C) * P(C)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))
P(data|A) = 0.0625
P(data|B) = 0.216
P(data|C) = 0.05184
Plugging in the values, we get:
Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134
Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466
Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400
So, after the match, the posterior probability that your opponent is slightly better than you is approximately 0.400 or 40%.
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complete the division equation. How many times does jack need to fill the glass?
Answer:
Alot
Step-by-step explanation:
Think abt it
What is the domain of the function graphed below?
Answer:
Domain: 0, 5
Range: 0, 2
Step-by-step explanation:
The Domain is the first coordinate which is x.
The Range is the second coordinate which is y.
Hope This Helps :)
The domain of the function will be 0 < x ≤ 5. The correct option is A.
What is a domain?In mathematics, a domain typically refers to a set of values for which a particular function or equation is defined. For example, the domain of the function f(x) = 1/x is all real numbers except for x = 0 since the function is undefined at that point.
The Domain is the first coordinate which is x. The Range is the second coordinate which is y.
The domain of the given graph in the image will be calculated as,
0 < x ≤ 5
Therefore, the correct option is A.
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math
help pls!!
solve for x and y
Answer:
x = 7 , y= - 6
Step-by-step explanation:
4x = -2 - 5y ___(1)
4x= 10 - 3y ___(2)
so, now by simultaneous equations,
10 - 3y = - 2 - 5y
2y = -12
y = -6
if y = -6
then, 4x= 10 -3(-6)
4x =28
x = 7
The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6
9514 1404 393
Answer:
x = 25; ∠3 = ∠6 = 60°
Step-by-step explanation:
Angles 3 and 6 are alternate interior angles, so are congruent.
2x +10 = 3x -15
25 = x . . . . . . . . . . . add 15-2x
2x +10 = 2(25) +10 = 60
The measures of angles 3 and 6 are 60°.
Which step is necessary in verifying that InB + 2 = -2t is a solution to dB/dt= -2B? A. e^InB + 2 = -2tB. dB = e^-2t-2 C. 1/B dB/dt = -2 D. ∫(In B+2) dB = 1-2t dt
None of the options A, B, C, or D are the necessary step to verify InB + 2 = -2t as a solution to dB/dt = -2B.
what is differential equations?
Differential equations are mathematical equations that describe the relationship between an unknown function and its derivatives (or differentials).
To verify that InB + 2 = -2t is a solution to dB/dt = -2B, we can substitute InB + 2 for B in the differential equation and check if it satisfies the equation.
So, let's first differentiate InB + 2 with respect to t:
d/dt (InB + 2) = 1/B * dB/dt
Using the given differential equation, we can substitute dB/dt with -2B:
d/dt (InB + 2) = 1/B * (-2B)
Simplifying this expression, we get:
d/dt (InB + 2) = -2
Now, substituting InB + 2 for B in the original differential equation, we get:
dB/dt = -2(InB + 2)
We can differentiate this expression with respect to B to get:
d/dB (dB/dt) = d/dB (-2(InB + 2))
d²B/dt² = -2/B
Since we have already established that d/dt (InB + 2) = -2, we can differentiate this expression with respect to t to get:
d²B/dt² = d/dt (-2) = 0
Therefore, d²B/dt² = -2/B if and only if d/dt (InB + 2) = -2.
Now, let's check if the given solution satisfies this condition. Substituting InB + 2 = -2t in d/dt (InB + 2), we get:
d/dt (InB + 2) = d/dt (In(-2t) + 2) = -2/t
Since -2/t is not equal to -2, the given solution does not satisfy the differential equation dB/dt = -2B, and hence, we cannot verify it as a solution.
Therefore, none of the options A, B, C, or D are the necessary step to verify InB + 2 = -2t as a solution to dB/dt = -2B.
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A simple linear regression model is given as: y = 70 + 10x + ϵ , with the error standard deviation as σ = 5. The intercept in the regression model is ?
In the given model, the intercept for the regression model is 70.
The intercept in the given simple linear regression model is 70. This means that when the independent variable (x) is zero, the predicted value of the dependent variable (y) is 70. The intercept represents the starting point or the y-value when x is zero in the regression equation.
In a simple linear regression model, the equation takes the form: y = β0 + β1x + ϵ, where β0 represents the intercept, β1 represents the coefficient of the independent variable (x), and ϵ represents the error term.
In the given regression model, the intercept (β0) is stated as 70. This means that when x is zero, the predicted value of y is 70. The intercept captures the inherent value of y that is not explained by the independent variable. It represents the baseline value of y when there is no influence from x.
Therefore, in the given model, the intercept is 70.
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Kendra is buying an outfit that is on sale for 20% off. The original price of the outfit is $109.
What is the sale price?
1)$130.80
2)$87.20
3)$78.20
4)$21.80
Answer:
$87.20
Step-by-step explanation:
The one above is incorrect, It showed up as wrong for me! The correct answer is $87.20
The sales price of the outfit is $87.2.
The correct option is (2).
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Kendra is buying an outfit that is on sale for 20% off.
The original price of the outfit is $109.
The discount,
= 20% of 109
= 20 x 109 / 100
= 21.8
The sales price,
= 109 - 21.8
= 87.2
Therefore, the price is $87.2.
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t is given that point P (2, π/4, 2) and a vector A = cos Ø- O sin Ø + 2 cos 0 sing defined in Cylindrical coordinates. Express vector A in Cartesian coordinates and evaluate A at point P (10 marks, C2)
At point P (2, π/4, 2), vector A in Cartesian coordinates is A = <1, 2.5, 2>.
To express vector A in Cartesian coordinates, we can use the following conversions between cylindrical and Cartesian coordinates:
x = ρ * cos(θ)
y = ρ * sin(θ)
z = z
Given vector A = cos(θ) - ρ * sin(θ) + 2 * cos(θ) * sin(θ), we can substitute the corresponding expressions for ρ, θ, and z:
x = cos(θ) * cos(θ) - ρ * sin(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
z = 2
Simplifying these expressions, we get:
x = cos^2(θ) + 2 * cos(θ) * sin(θ) - ρ * sin^2(θ)
y = cos(θ) * sin(θ) + ρ * cos(θ) * sin(θ) + 2 * cos(θ) * sin(θ)
z = 2
Now, we can evaluate vector A at point P (2, π/4, 2):
x = cos^2(π/4) + 2 * cos(π/4) * sin(π/4) - 2 * sin^2(π/4)
y = cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4) + 2 * cos(π/4) * sin(π/4)
z = 2
Simplifying further, we have:
x = (1/2) + 1 - (1/2) = 1
y = (1/2) + 1 + 1 = 2.5
z = 2
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Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?
Answer:
$0.05
Step-by-step explanation: first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers
Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces
Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
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A tank of water is in the shape of a right circular cone with height 8 meters and base radius 26 meters. The tank is being filled with water at a rate of 12m3/s. When the radius of the top of the water is 10 meters, how fast is the depth of the water changing
The depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
To find the rate at which the depth of the water is changing, we can use related rates.
Given:
Height of the cone (h) = 8 meters
Base radius (r) = 26 meters
Rate of filling (dV/dt) = 12 m³/s
Radius of the top of the water (x) = 10 meters
First, we establish the relationship between the height and radius of the cone using similar triangles. The ratio of the height to the radius is constant, so we have h/r = 8/26.
Next, we differentiate both sides of the equation with respect to time (t) to find dh/dt in terms of dx/dt. This gives us (dh/dt)/(dr/dt) = 0.3077.
We can then substitute the given values into the equation: (dh/dt)/(dx/dt) = 0.3077. Rearranging the equation, we find that dx/dt = (dh/dt) / 0.3077.
To find the value of dh/dt, we can substitute the given rate of filling, dV/dt = 12 m³/s, into the equation. Solving for dh/dt, we get dh/dt = 3.693 m/s.
Finally, we substitute the values of dh/dt and 0.3077 into the equation to find dx/dt. This gives us dx/dt ≈ 0.39 m/s.
Therefore, the depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
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£8658 is shared equally between 9 people. How much does each person get?
£
Answer:
962
Step-by-step explanation:
8658/9
answer is 962 pounds
Step-by-step explanation: divide 8658 by 9
Find the volume of radius 7 cm in diameter of 12 cm in 3.14
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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A brown bear can run 44 meters in 4 seconds. At this rate, how far could a brown bear run in 20 seconds?
Answer:
220 meters
Step-by-step explanation:
20 seconds is 5 times larger than 4 seconds, so the distance it runs in 20 seconds should be 5 times longer than 44 meters
so:
20/4 = 5
since x is 5 times larger than 44, set up the equation
5 = x/44
multiply both sides by 44
x= 44 * 5 = 220 meters
In 45 minutes, i will give you three likes (a) You would like to measure wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean. The measure of the rotational speed of the axle of the device has a precision of +/-0.2 rotations/s and was calibrated in a steady wind-tunne flow at 20m/s with 10 rotations/s. Define for the below-given situations,1 to 4,the type of error (random or systematic and explain how to overcome or reduce this error. 1 2 3 4 Bearing of the axle is old Turbulent flow Icing on the cups Strong tumbling of the sailboat You would like to use it for a measure of the in-cabin air flow a quiet environment Discuss why the measurement system is not well posed for this purpose.
When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.
2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements. 3. When there is icing on the cups, the type of error that occurs is also random error.
To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.
It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.
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18 + (-2) + (-7) = ?
please explain how you got your answer :)
i'll give brainliest
Answer:
9
Step-by-step explanation:
18+-2+-7
16+-7
9
Which of the following functions has:
Domain: LaTeX: \left(-\infty,\:\infty\right)( − ∞ , ∞ )
Range: [LaTeX: 0,\:\infty0 , ∞ )
Answer:
We can't see the functions. We also can read the domain or the range. Personal suggestion is to write the domain and range (-infity, 0) but substitute in what applies to your situation.
Step-by-step explanation:
If a card is drawn from a deck, find the probability of getting these results:
a. a 6 and a spade
b. a black king
c. a red card and a 7
d. a diamond or a heart
e. a black card
Answer:
Below in bold,
Step-by-step explanation:
a. There's is only one card that fits this description so
Probability = 1/52.
b. There are 2 black Kings so
Probability = 2/52 = 1/26.
c. There are 2 of these - 7 of diamonds and 7 of hearts
so
Probability = 2/52 = 1/26.
d. There 13 diamonds and 13 hearts so
Probability = 26/52 = 1/2.
e. There 26 black cards
Probability = 26/52 = 1/2.
After returning to South Africa from Algeria in 1964, Nelson Mandela was
Arrested and imprisoned
Elected to the presidency
Educated in guerrilla tactics
Finally granted his freedom
Answer:
arrested and imprisoned.
Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.
Who is Nelson Mandela?Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid in which the non-white South African's were segregated.
Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.
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all rectangles are squares
Answer: False
All squares are rectangles.