Answer: In an experiment, if the probability that event A occurs is 0.2 and the probability that event B occurs is 0.5, then the probability that either event A or event B (or both) will occur is the sum of their individual probabilities, which is 0.2 + 0.5 = 0.7.
It should be noted that the sum of the individual probabilities of two events is less than or equal to 1. If the sum of the probabilities is greater than 1, it means that the events are not mutually exclusive and that means that they can happen at the same time.
It's important to mention that the above answer is based on the assumption that events A and B are mutually exclusive events, which means that they cannot happen at the same time. If they are not mutually exclusive, the probability of both occurring at the same time would have to be calculated using the formula P(A and B) = P(A) * P(B|A) where P(A) is the probability of event A occurring and P(B|A) is the probability of event B occurring given that event A has already occurred.
Step-by-step explanation:
Movie showings: At the 24/7 Classic movieplex, Gone with
Ahe wind shows every 120 minutes, Casablanca shows
every 140 minutes, and The Godfather shows e
every 90.
minctes. If all three movies have Just begun, in how
many minutes will they again all begin at the same time?
On solving the provided question, by LCM after 2520 minutes, all 3 movies will begin at the same time.
What is the L.C.M. of number?The number that is the smallest of two or more natural numbers' common multiples is known as the Lowest Common Multiple (LCM) in mathematics.
IF we look from mathematical point of view, the question is just asking what is the smallest numbers that is divisible by 120, 140 and 90, which is the L.C.M of these 3 number.
For instance, 12 is the least frequent multiple of 4 and 6. As a result, 12 is the lowest common multiple such that its elements are 4 and 6.
If we look at what the question ask, all the movies will begin at the same time if all the multiples of 120, 140 and 90 have a number in common and should be smallest.
Hence, after solving for L.C.M., we get 2520 as the L.C.M.
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Consider the circle given by the equation (x – 2)2
+ (y + 1) 2
= 5. Find the center and radius.
The center and the radius of the circle (x – 2)²+ (y + 1)² = 5 are
(2, -1) and √5, respectively.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle,
(x – 2)²+ (y + 1)² = 5.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Comparing the equations, we get,
h = 2 and k = -1 and r = √5
That means,
the center = (2, -1) and the radius = √5
Therefore, the center = (2, -1) and the radius = √5.
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If f(x)=5x-1 and g(x) =2x^2+1 what is the value of (fxg)(-3)?
The value of (fxg)(-3) if f(x)=5x-1 and g(x) =2x^2+1 will be 94.
What is a function?A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B. It is a relation “f” in which each element of set “A” is mapped with only one element belonging to set “B”. Also in a function, there can’t be two pairs with the same first element.
f(x)=5x-1
g(x) =2x^2+1
fxg = 5(2x^2+1) - 1
fxg = 10x^2 + 5 - 1
fxg = 10x^2 + 4
fxg(-3) = 10(-3)^2 + 4
fxg(-3) = 10(9) + 4
fxg(-3) = 90 + 4
fxg(-3) = 94
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The graph shows a proportional relationship between time and number of boxes a machine packages. How many boxes does the machine package in 5 minutes?
In linear equation, 300 boxes does the machine package in 5 minutes .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.
In 5 minutes the machine package does
= 5*60
= 300 boxes.
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Can anyone that’s good in math do this problem for me
Use the number line below, where RS=8y+4, ST=2y+4, and RT=58.
a. What is the value of y?
b. Find RS and ST.
The value of y is 58 and RS is 55.25 and ST is 17.5.
What is Equation?Equation is an expression that consists of variables, constants, and operators, and expresses a relationship between them. It is a mathematical statement that two expressions are equal. Equations can be used to solve a wide variety of problems in mathematics, science, engineering, and other fields. Examples of equations include the Pythagorean Theorem, the equation of a circle, and the equation of a line. Equations can be written in a variety of forms, such as symbolic, graphical, and numerical.
The value of y can be found by solving the equation 8y+4=58. By subtracting 4 from both sides, we get 8y=54.
Dividing both sides by 8, we get y=6.75.
Therefore, RS=8y+4=8(6.75)+4=55.25 and
ST=2y+4=2(6.75)+4=17.5.
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Omar is going to invest in an account paying an interest rate of 6% compounded monthly. How much would Omar need to invest, to the nearest dollar, for the value of the account to reach $32,400 in 20 years?
Omar needs to invest $9,788, to the nearest dollar, for the value of the account to reach $32,400 in 20 years
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
Given:
Omar is going to invest in an account paying an interest rate of 6% compounded monthly.
A = $32,400 in 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 per year,
Then, solve the equation for P
P = A / (1 + r/n[tex])^{nt}[/tex]
P = 32,400.00 / (1 + 0.06/12[tex])^{(12)(20)}[/tex]
P = 32,400.00 / (1 + 0.005[tex])^{240}[/tex]
P = $9,787.91
P = $9788 to the nearest dollar.
Therefore, the investing amount is $9,788.
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Please help me!!! ASAP
Answer:
Step-by-step explanation:
Answer is 26. Plug in each of the numbers. (8x4)-6
Which number sentence is true?
A. 12 < |-12|
B. |-12| < |-48|
C. |-48| < |48|
D. |12| > |-48|
HELLPPP
In*Delta*DEF, e = 1.8inches; m angle F=104^ and m angle D=52^ Find the length of f, to the nearest 10th of an inch.
The length of the triangle DEF f is 4.3 units.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The sine law can be used to find the side of a triangle. Therefore, let's find the side f of the triangle using sine law.
Therefore,
a / sine A = b / sin B = c / sin C
Hence,
e / sin E = f / sin F
E = 180 - 104 - 52
E = 24 degrees
Therefore,
1.8 / sin 24 = f / sin 104
cross multiply
1.8 sin 104 = f sin 24
divide both sides by sin 24
f = 1.8 sin 104 / sin24
f = 1.8 × 0.97029572627 / 0.40673664307
f = 1.7465323073 / 0.40673664307
f = 4.29277407617
f = 4.3 units
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Two functions are shown below. Which function has a greater rate of change
Answer: Function B
Step-by-step explanation: Function A's equation would be y = x + 3 and although they have a greater y-intercept (starting point on x) the rate of change is less than Function B.
In Nepal, some students paddle a kayak to get to school. Suppose it takes one student 1/4 hour to paddle 1/2 mile How far would the student paddle in `t` hours at this speed?
what is t
The distance that the student can travel in "t" hours if the speed is constant is:
distance = (2 mi/h)*t
How far would the student paddle in `t` hours at this speed?
Here we need to remember the relation between time, distance, and speed:
distance = time*speed.
Solving for speed, we will get:
Speed = distance/time
Here, we know that the student can travel 1/2 of a mile in 1/4 of an hour, then we have:
distance = 1/2 of a miletime = 1/4 of an hour.With that, we can find the speed:
speed = (1/2 of a mile)/(1/4 of an hour) = 2 miles per hour.
Then the distance that the student can paddle in "t" hours is written as:
distance = (2 mi/h)*t
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Which of the following shows the Commutative Property of Multiplication?
I NEED HELP PLEASE ASAP I HAVE LIKE $ MINUETS HURRY PLS!
The commutative property is given by a×b=b×a
What is the commutative property?The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Given here: The law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. Let the two numbers be a and b
Then we get a×b=b×a
Hence, The commutative property is given by a×b=b×a
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i need help pls i have no clue what to do?
Answer:
Step-by-step explanation:
Ivy is incorrect. An ellipse would also fit her definition(since an ellipse has no corners and a shape that is round and closed)
Ethan is correct. A circle is a set of all points some fixed distance away from some fixed point.
Ebuka is incorrect. A half circle will also fit her definition.
Help me please!!!!!!
Answer:
a
Step-by-step explanation:
TOP Electronics is a small business with five employees. The mean (average) weekly salary for the five
employees is $360. If the weekly salaries of four of the employees are $340, $340, $345, and $425, what is
the salary of the fifth employee?
The answer is $350
How to find the Median?By ranking the wages of a group of employees in descending order, you may determine the median base salary by finding the wage that is in the Middle of the distribution . 50 percent of earnings fall below the median, while 50 percent of salaries rise above the median.
ExplanationThe average of a set of numbers is known as the mean. If there are five salaries involved and the mean is $360, the total can be calculated by
Average = Total / number
Total = (Average)(Number)
Total = $360 * 5 = $1800
Four of the wages are spoken for, so we add them up and take $1800 out of the equation to get our result.
so $340 + $340 + $345 + $425 = $1450
and $1800 - $1450 = $350
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A secretary listed the frequency of calls by a patient to a doctor's office during a year, and the data is displayed in the histogram.
A histogram titled Calls To A Doctor. The x-axis is labeled Number of Calls and has intervals listed for 1 to 25, 26 to 50, 51 to 75, and 76 to 100. The y-axis is labeled Frequency and begins at 0, with tick marks every five units up to 60. There is a shaded bar for 1 to 25 that stops at 58, for 26 to 50 that stops at 34, for 51 to 75 that stops at 17, and for 76 to 100 that stops at 12.
Which of the following best describes the spread and distribution of the data?
The data is skewed to the higher values because many patients call the doctor several times a day when they are sick.
The data is skewed to the lower values because many patients only call the doctor once or twice a year when they are sick.
The data is bimodal with a narrow spread because many patients call the doctor several times a day when they are sick.
The data is normal and has a wide spread because many patients only call the doctor once or twice a year when they are sick.
Due to the fact that many people only call their doctors when they are ill once or twice a year, the data is skewed toward the lower levels.
What is meant by histogram?A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values).
Therefore, the correct answer is option b) The data is skewed to the lower values because many patients only call the doctor once or twice a year when they are sick.
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(6x ^ 3 - x ^ 2 - 14x + 5):(2x - 1)
The final result of algebra is: (6x^3 - x^2 - 14x + 5) : (2x - 1) = 3x^2 - x - 7 + 5/(2x-1)This is the simplified form of the given expression.
What is simplification?Simplification is the process of making an expression or equation simpler and easier to understand or work with. In mathematics, simplification often involves combining like terms, removing unnecessary operations, or reducing the number of terms in an expression. The goal of simplification is to obtain an equivalent expression that is clearer, more manageable, and easier to interpret.
Here ,
is the step by step process:
(6x ^ 3 - x ^ 2 - 14x + 5):(2x - 1)
Step 1: Divide 6x^3 by 2x and write the quotient 3x^2.
Step 2: Multiply the denominator (2x - 1) by the quotient (3x^2)
Step 3: Subtract the result from the numerator and bring down the next term of the numerator ( x^2)
Step 4: Repeat the process by dividing the x^2 by 2x and write the quotient -x.
Step 5: Multiply the denominator (2x - 1) by the quotient (-x)
Step 6: Subtract the result from the numerator and bring down the next term of the numerator ( -14x)
Step 7: Repeat the process by dividing the -14x by 2x and write the quotient -7
Step 8: Multiply the denominator (2x - 1) by the quotient (-7)
Step 9: Subtract the result from the numerator and bring down the next term of the numerator (5)
Step 10: We can see that the degree of the remainder is less than the degree of the denominator so we can write the remainder as 5/(2x-1)
So the final result is:(6x^3 - x^2 - 14x + 5) : (2x - 1) = 3x^2 - x - 7 + 5/(2x-1)
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Solve the following problem using the substitution method. Please make sure to show all of your work. Please and thank you!
7x + 6y = -9
y = -2x - 1
Answer:
x=3/5, y=-11/5. (3/5, -11/5).
Step-by-step explanation:
7x+6y=-9
y=-2x-1
------------
7x+6(-2x-1)=-9
7x-12x-6=-9
-5x-6=-9
-5x=-9+6
-5x=-3
x=-3/-5=3/5
y=-2(3/5)-1=-6/5-1=-6/5-5/5=-11/5
USE PATTERNS AND STRUCTURE
A jewelry Desinger Buys a new color of gem to add to his collection. The number of gems he buys is divisible by 2. Which color of gem did he buy?
GLASS GEM COLLECTION
red sapphire. 48
Blue sapphire. 55
Pink sapphire 65
Golden Sapphire 37
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A drink stand is selling small drinks for $2 each and large drinks for $4 each. One day, a total of 150 drinks were sold for $552. How many large drinks were sold?
Part A: Define your variables
Part B: Write two equations for this scenario
Part C: determine how many large drinks were sold
Using equation, the number of large drinks is 126.
How to find the number of large drinks sold?A drink stand is selling small drinks for $2 each and large drinks for $4 each. One day, a total of 150 drinks were sold for $552.
The number of large drinks sold can be calculated as follows:
Using equation,
let
x = number of small drinks
y = number of large drinks
Hence,
2x + 4y = 552
x + y = 150
multiply equation(ii) by 2
2x + 4y = 552
2x + 2y = 300
subtract equation(ii) from equation(i)
2y = 252
divide both sides by 2
y = 252 / 2
y = 126
Therefore,
number of large drinks = 126
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The tallest tree in the world is in redwood California as of April 2019 if you’re standing on the trail 220 feet from the bottom of the tree you have to look up it is 60° angle to see the top how tall is the tree
Answer:
220√3
Step-by-step explanation:
220 x tan60°
220√3
Which expressions are equivalent to 7(-x-3)? Select two options.
0-5-x-21
0-7-x-7(3)
06x-21
06-x-4
07(-x)-7(3)
Answer:
07(-x)-7(3)
Step-by-step explanation:
7(-x-3)
-7x-21
07(-x)-7(3)
-7x-21
PLEASE HELP RADIUS I THINKEASTY!!
The approximate distance around the circular field is 172.7 feet.
How to find the distance around a circle?A diagram of a roundabout is being designed to improve driver safety on a busy road. The radius of the circular field planned for landscaping is 27.5 feet.
Therefore, the approximate distance around the outside of the circle can be calculated as follows:
The distance around the circle is the circumference of the circle.
Hence,
circumference of a circle = 2πr
where
r = radiusTherefore,
distance around the circle = 2 × 3.14 × 27.5
distance around the circle = 172.7 feet
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1. What would be the next number in the pattern? (1 point)
1
1 1 1
324
108 36 12
O
OO
55|41|w|.
01
27
The next number in the given pattern is 1/4
What is Geometric Progression ?
Geometric progression can be defined as the sequence of numbers in which the common ratio between any consecutive numbers is same.
Given sequence ,
1/324 , 1/108 , 1/36 , 1/12
Lets check whether they are in Geometric sequence or not.
So,
r = 1/108 / 1/324
r = 324/108
r = 3
And
r = 1/36 / 1/108
r = 108/36
r = 3
So, The common ratios are same , it is in Geometric sequence
So , the next term could be
= 1/12 * 3
= 1/4
So, the next term could be 1/4
Hence, The next number in the given pattern is 1/4
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Let V be the set of all positive real numbers. Define + by U+V = UV-1 and . by C.V = V. Is V a vector space? Explain?
No, V is not a vector space with the operations defined in this way. Because the operations defined in this question do not satisfy the properties required for V to be a vector space.
A vector space is a collection of objects (vectors) that can be added together and multiplied ("scaled") by numbers, called scalars. These operations must satisfy certain properties to be considered a vector space.
For example, one of the properties is the associativity of vector addition, which means that (u + v) + w = u + (v + w) for any vectors u, v, and w in V. However, with the given definition of +, we have (U + V) + W = (UV-1) + W = U(VW-1) which is not equal to U + (V + W) = U(VW-1)
Another property is the distributivity of scalar multiplication over vector addition, which means that c(u + v) = cu + cv for any scalar c and any vectors u and v in V. But with the given definition of ., we have C(U+V) = C(UV-1) which is not equal to C.U + C.V = CUV-1
Furthermore, with the definition given the additive identity and the existence of additive inverse are not guaranteed.
Therefore, V is not a vector space with the operations defined in this way.
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Which of the following are irrational numbers?
Choose the two correct answers.
Responses
100−−−√ 100 ,
28−−√ 28 ,
11−−√ 11 ,
2.78¯¯¯¯
Answer:
11 and 28
Step-by-step explanation:
ok is a unatural and is the probability of the worst role in all of the curriculum in this field will
Answer:
11 and 28 are the numbers your looking for
Step-by-step explanation:
had a problem like this on a test
Kevin has six and one fourth feet of wood. he is making birdhouses and trimming the door of each house in wood. if he needs one half foot for each birdhouse, how many birdhouses can he make with the wood he has??
When he has six and one-fourth feet of wood and one-half foot is needed for each birdhouse, he can create 12 birdhouses out of it.
what is unitary method ?Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.
given
Kevin has six and one fourth feet of wood = 6 + 1/4 = 25/4
one half foot for each birdhouse = 1/2
so number of birdhouses = 25/4 / 1/2 = 25/2
When he has six and one-fourth feet of wood and one-half foot is needed for each birdhouse, he can create 12 birdhouses out of it.
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How many ounces are 12 pounds? (There are `16 ounces in one pound) A. 160oz B. 176oz C. 192oz
Answer: 192 oz
Step-by-step explanation:
thats the answer
You have 2.88 meters of copper wire and 5.85 meters of aluminum wire. You need 0.24 meter of copper wire to make one bracelet and 0.65 meter of aluminum wire to make one necklace. Can you make more bracelets or more necklaces? Explain.
sketch a contour map of the function. f(x, y) = x2 + 9y2
A contour map/ plot is a way of representing a function with a two-dimensional input and a one-dimensional output.
Contours are obtained by intersecting the surface with the horizontal plane using the equation z = c. So the contour equation at height c is f(x,y) = c.
There are three types of contour lines displayed on the map:
Intermediate, Index, Supplement. The index line is the thickest contour line, and the points along the line are usually function numbered. Contours do not branch or split. Page 5 Steep slopes are represented by dense contour lines. Contour lines never intersect, but they can touch.
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