Mr. Meyers surveys all the students in his world history class and identifies these probabilities. The probability that a student has gone to Mexico is 0.26.
The probability that a student has gone to Canada is 0.30. The probability that a student has gone to both Mexico and Canada is 0.08.
What is the probability that a student in Mr. Meyers’ class has been to Mexico or Canada?
Answers
The probability that a student in Mr. Meyers' class has been to Mexico or Canada is 0.48 or 48%.
To determine the likelihood that a student in Mr. Meyers' class has visited Mexico or Canada, we must compute the union of the probabilities of visiting Mexico and visiting Canada. The inclusion-exclusion principle can be used to accomplish this.
The formula for the union of two events A and B is given by:
P(A or B) = P(A) + P(B) - P(A and B)
Given the probabilities provided:
P(Mexico) = 0.26
P(Canada) = 0.30
P(Mexico and Canada) = 0.08
Using the formula, we can calculate:
P(Mexico or Canada) = P(Mexico) + P(Canada) - P(Mexico and Canada)
= 0.26 + 0.30 - 0.08
= 0.48
Therefore, the probability that a student of 48% of Mr. Meyers' class has visited either Mexico or Canada.
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Related Questions
mark is paid semimonthly. his semi monthly salary is 1,389. what is his annual salary?
Answers
Step-by-step explanation:
The answer should be 29,736
A volleyball player serves the ball and makes contact 6 feet above the ground with an initial vertical velocity of 20 ft./s how long will it be before the ball hits the ground
Answers
Answer:
1.5 seconds
Step-by-step explanation:
You want to know when a ball launched from a height of 6 ft with a vertical velocity of 20 ft/s will hit the ground.
Ballistic motionThe equation for the height of the ball is ...
h(t) = -16t² +v0·t +h0
where v0 and h0 are the initial vertical velocity and height, respectively.
ApplicationFor the given parameters, the equation is ...
h(t) = -16t² +20t +6
The solution to h(t) = 0 can be found using the quadratic formula:
0 = -16t² +20t +6 . . . . . . . a=-16, b=20, c=6
\(t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-20\pm\sqrt{20^2-4(-16)(6)}}{2(-16)}\\\\\\t=\dfrac{20\pm\sqrt{784}}{32}=\dfrac{20\pm28}{32}=\{-0.25,1.5\}\)
The ball will hit the ground after 1.5 seconds.
<95141404393>
WILL GIVE BRAINLIEST FASTTTTT
Factor x^2−4x+4
(x−4)^2
(x+2)^2
(x+4)^2
(x−2)^2
Answers
Answer: (x−2)(x−2)
The middle number is -4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get 4
Can you think of the two numbers?
Try -2 and -2:
-2+-2 = -4
-2*-2 = 4
Fill in the blanks in
(x+_)(x+_)
with -2 and -2 to get...
(x-2)(x-2)
Answer:
(x−2)(x−2)
so the answer is D.
for the matrix samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9], to produce samplematrix = [1, 4, 7, 5, 8, 3, 6, 9] with the command samplematrix([n]) = [ ], what should the value of n be?
Answers
To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.
To produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2. Here's the explanation: Given `samplematrix=[1, 2, 3; 4, 5, 6; 7, 8, 9]`, the command `samplematrix([n]) = [ ]` would remove the nth row from the matrix and leave an empty row in its place.
For example, if `n = 2`, then the command `samplematrix([n]) = [ ]` would remove the second row and leave an empty row in its place.
The resulting matrix would be:`samplematrix = [1, 2, 3; ; 7, 8, 9]`
Notice that there is an empty row in the middle because the second row was removed.
Next, to produce the desired matrix `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`, we need to concatenate the rows of the modified `samplematrix` matrix in a specific order. The order is the first row, then the third row, and finally the second row. So, we can use the following code to achieve this:
result = [samplematrix(1,:); samplematrix(3,:); samplematrix(2,:)]
The resulting `result` matrix would be:`result = [1, 2, 3; 7, 8, 9; 4, 5, 6]`
We can then use the colon operator to reshape the matrix into a row vector, like this:`samplematrix = result(:)'`The resulting `samplematrix` vector would be:`samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]`
Therefore, to produce `samplematrix = [1, 4, 7, 5, 8, 3, 6, 9]` with the command `samplematrix([n]) = [ ]`, the value of `n` should be 2.
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john is 7 years younger than jane. the sum of their age is 10 years ago was 55 years. how old are they now
Answers
Answer: John is 29 years old and Jane is 36 years old.
Step-by-step explanation:
There are many parts to this problem, so let's start by defining John as x and Jane as y.
We know that the sum of their age 10 years ago was 55, which gives us x+y-10=55. The reason we put -10 is because of 10 years ago. If you think about it in terms of now, 10 years back is 55, so now they would be 65 years old. So we can have either x+y-10=55 or x+y=65. For simplicity, I will use x+y=65.
We also know that John is 7 years younger than Jane, which gives x=y-7.
Luckily, we have x defined for us, so we can directly substitute that into our equation.
\((y-7)+y=65\) [combine like terms]
\(2y-7=65\) [add both sides by 7]
\(2y=72\) [divide both sides by 2]
\(y=36\)
Now we know that y=36, we can plug that into either equations to find x.
\(x+36=65\) [subtract both sides by 36]
\(x=29\)
This concludes that John is 29 years old and Jane is 36 years old.
a combination of values that, when arranged correctly, result in a final value.
Answers
Combinations and sequences are widely used in mathematics to explain and assess situations in which the order or selection of components might influence the final result.
What is combination?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.
Here,
A combination is a grouping of things from a bigger set in which the order of the components is irrelevant. A sequence is a collection of elements that are ordered in a precise order. Combinations and sequences are frequently used in mathematics to describe and evaluate situations where the order or selection of components might impact the final outcome, such as in combinatorics, probability, and statistics.
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Complete question:
A combination of values that, when arranged correctly, result in a final value. true/false
Select the correct answer. Y Probability 10 0. 10 20 0. 25 30 0. 05 40 0. 30 50 0. 20 60 0. 10 The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y? A. 25. 0 B. 26. 5 C. 35. 0 D. 35. 5
Answers
The expected value of y is (D.) 35.5.
The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.
To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.
y * probability = y * P(y)
The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10
= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.
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A
]
Is 4/6 greater than 3/8
Answers
Answer:
Yes
Step-by-step explanation:
if you change the faction into 24ths 4/6 would be 16/24 and 3/8 would be 9/24
A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 17 units, and its height is 2. 94 units. Using the area of a triangle formula, what is the approximate area of the circle? circle A is dissected into 16 congruent sectors, one sector is highlighted 27. 14 units2 27. 52 units2 48. 92 units2 76. 44 units2.
Answers
The area of a shape is the amount of space on the shape
The approximate area of the circle is 27.52 square units
How to determine the area of the circleThe given parameters are:
Sectors = 16
Base = 1.17 units
Height = 2.94 units
The area of the triangle is:
\(A_1 = 0.5 * Base * Height\)
So, we have:
\(A_1 = 0.5 * 1.17 * 2.94\)
\(A_1 = 1.7199\)
The approximate area of the circle is then calculated as:
\(A_2 = 16 * A_1\)
This gives
\(A_2 = 16 * 1.7199\)
\(A_2 = 27.52\)
Hence, the approximate area of the circle is 27.52 square units
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Answer:
27.52
Step-by-step explanation:
A = 1/2 bh
fill in the given information
A = 1/2 (1.17)(2.94)
multiply 1.17 and 2.94
A = 1/2 (3.4398)
Mutiply 3.4389 by 1/2 or divide 3.4398 by 2 (it is the same thing)
A = 1.7199
Now you have the area of one of the triangles, so you have to find the area of the whole circle or 16 triangles.
A = 1.7199 (16)
Mutpily
A = 27.5185
round to the nearest hunderth
A = 27.52
:)
What is the slope of the line?
Please hurry!!!
Answers
Answer:
slope = 3/4
Step-by-step explanation:
rise over run
for what values of k both the quadratic equations 6x² -17x+12=0 and 3x²-2x+k=0 will have a common root
Answers
The value of k for which both 6x² - 17x + 12 = 0 and 3x² - 2x + k = 0 have a common root is k = 1/3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The discriminant of the first quadratic equation, 6x² - 17x + 12 = 0, is:
b² - 4ac = (-17)² - 4(6)(12) = 1
Since the discriminant is not zero, this quadratic equation does not share a common root with any other equation.
For the second quadratic equation, 3x² - 2x + k = 0, to have a common root with 6x² - 17x + 12 = 0, its discriminant must be zero.
The discriminant of the second quadratic equation is:
b² - 4ac = (-2)² - 4(3)(k) = 4 - 12k
To find the values of k that make the discriminant equal to zero, we solve the equation:
4 - 12k = 0
Simplifying, we get:
12k = 4
k = 4/12
k = 1/3
Therefore, the value of k for which both 6x² - 17x + 12 = 0 and 3x² - 2x + k = 0 have a common root is k = 1/3.
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the point of tangency are :
Answers
Answer:
R and Z
Step-by-step explanation:
A point that "touches" the circle once.
1. The expression 2p - 15 represents the number of lilies left in the zoo's garden after a storm. If p = 223, how many lilies are left in the garden after the storm? 431 lilies 223 lilies 193 lilies 208 lilies
Answers
446-15=431lilies
Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W}, answer the following: len ( I, D, S, A, a) With the given letters above, we can construct a binary search tree (based on alphabetical
ordering) and the sequence < C, D, A, G, M, I, W, T, S, E is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.
Answers
The Binary Search Tree is as follows:
E
/ \
S T
/ \
I W
/ \
A M
/ \
C G
\
D
The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5
Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:
post-order sequence is: C, D, A, G, M, I, W, T, S, E.
To draw the binary search tree for the given post-order sequence, follow the steps below:
Start with the root node E and mark itFor the given post-order sequence C, D, A, G, M, I, W, T, S, E, identify the last element E as the root node. This node will be at the center of the drawing.Place the node containing the element S to the left of E, and mark it. Similarly, place the node containing the element T to the right of E, and mark it.Place the node containing the element I to the left of S, and mark it. Similarly, place the node containing the element W to the right of T, and mark it.Place the node containing the element A to the left of I, and mark it. Similarly, place the node containing the element M to the right of W, and mark it.Place the node containing the element C to the left of A, and mark it. Similarly, place the node containing the element G to the right of M, and mark it.Place the node containing the element D to the right of C, and mark it. Similarly, place the node containing the element E to the right of G, and mark it. This completes the construction of the binary search tree.To know more about Binary Search Tree, visit:
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the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
Answers
The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year
How to calculate the rate of changeFrom the question, we have the following parameters that can be used in our computation:
s(t) = 0.12t² − t + 5.7
In 2000, we have the value of t to be
t = 2000 - 1990
Evaluate
t = 10
So, we have
s(10) = 0.12 * 10² − 10 + 5.7
Evaluate
s(10) = 7.7
Hence, the rate in 2000 is 7.7 billion dollars per year
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Question
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
Calculate the rate of change in 2000
A line passes through points
(8, - 2) and
(-5, 7). Which ratio can be used to determine the slope of the line?
7+2/
8+5
7-2/
-5-8
8+5/
-2+7
7+2/
-5-8
Answers
Answer:
7+2/8+5
Step-by-step explanation:
Help me with this- 10 points
Answers
Answer:
The model on the top right.
Answer:
your answer would be the top right one
Step-by-step explanation:
I don't really know how to explain how I got my answer in words sorry.
Hope this helps! Have a great day ahead. Tell me if im wrong :) Stay Safe <3
Name two sides that appear to be parallel
Answers
Step-by-step explanation:
These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.
please dont use any big words & give an essay explanation
Answers
We want to create a real-life reasonable problem in which we can apply the laws of exponents.
Using a compound interest example;
Word Problem:
Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.
Solving the word problem;
We have the following parameters;
\(\begin{gathered} \text{ Principal P = \$2,000} \\ \text{Rate r = 5\%} \\ \text{Time t = 5 years} \\ \text{ Number of times compounded n = 4} \end{gathered}\)Recall that the formula for compound interest is;
\(F=P(1+\frac{r}{n})^{nt}\)Substituting the given values;
\(\begin{gathered} F=2000(1+\frac{0.05}{4})^{4(5)} \\ F=2000(1+0.0125)^{20} \\ F=2000(1.0125)^{20} \\ F=2000\times(1.0125)^{20} \\ F=\text{ \$2,564.07} \end{gathered}\)Therefore, the solution to the problem is;
The final
help with my math READ IT CARFULLY
Answers
Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28
Srec = 6 . 4 = 24
S= 6,28 + 24 = 30,28
the answer is 30,28
ok done. Thank to me :>
i need help finding the system of inequalities!
Answers
Answer:
35
Step-by-step explanation:
h
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
Answers
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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what pair of integers has a -16 and a sum of -6
Answers
Answer:
10 and -16
Step-by-step explanation:
If you add 10 to -16, its -6.
In the diagram below, a circle O diameter, AB and radii OC are drawn. The length of AB is 12 in the measure of angle COD is 20°. if AC is congruent to BD find the area of a sector BOD in terms of pi.
Answers
Answer: = 8\(\pi\)
Step-by-step explanation:
The length of AB is 12, which is the diameter, so
r=6
You need to find the angle of BOD. It is on the bottom half. Also, AOC is the same angle
180-20 =160 now divide by 2
<BOD=80
In order to find area you multiply the fractional portion by the area
A(BOD) = \(\frac{80}{360} \pi r^{2}\)
=\(\frac{8}{36} \pi 6^{2}\) I reduced by 10 and the 36's cancel out
= 8\(\pi\)
let f(x) = 1 3x . compute lim h→0 f(5 + h) − f(5) h .
Answers
For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.
In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L
x→a⁻ x→a⁺
We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.
So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)
= 16+ 3h
Now, lim [ f(5 + h) − f(5)]/ h
h→0
= lim [(16 + 3h) − (16) ]/ h
h→0
= lim [ 16 + 3h - 16 ]/ h
h→0
= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]
h→0 h→0
= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]
h→0 h→0
= lim 3 (1) = 3 ( since, x⁰ = 1 )
h→0
Hence, the required limit value is 3.
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regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be.
Answers
The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.
Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.
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I need help! Any answers?
Answers
The linear equation that is represented by the given table is:
y = -3*x + 4
How to find the equation for the given table?The relation on the table seems to be a linear equation.
Remember that a linear equation is written in general form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
On the table we can see the point (0, 4), which means that the y-intercept (the value of y when x = 0) is b= 4, then we can replace that in the general linear equation above to get:
y = a*x + 4
To find the value of a, we can use one of the other pairs on the table, for example if we use (1, 1), then we will get.
1 = a*1 + 4
1 = a + 4
1 - 4 = a
-3 = a
Then we conclude that the linear equation represented in the table is:
y = -3x + 4
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Four beakers contain water as shown below.
Which two beakers of water can be combined to fill one beaker to exactly 1,000 mL?
beaker B and beaker C
beaker B and beaker C
beaker A and beaker C
beaker A and beaker C
beaker A and beaker B
beaker A and beaker B
beaker A and beaker D
beaker A and beaker D
Answers
Answer:
A&C
Step-by-step explanation:
It would be A because it has 750 mL and C because it has 250mL and 750+250=1000
Also can you mark brainlyist you dont have to
find the gcf of 18 and 16
Answers
Answer:
2
Step-by-step explanation:
Factors for 18: 1, 2, 3, 6, 9, 18
Factors for 16: 1, 2, 4, 8, 16
Common factors are: 1, 2. 2 is the greatest digit in this case so this is your final answer.
Please help I’ll make you the brainiest
Answers
2nd # 1
3rd # 4
And lastly 4th for #2