Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Need help with this equation 8x²+10x-3
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
The ratio of points scored by Jennie, Sarah, and Sadie in the basketball games played last week was 1:3:5. If jenny scored 10 points last week, what was the total number of points scored by these three girls?
-Write and Equation and Solve.
The ratio of points scored by Jennie, Sarah, and Sadie in the basketball games played last week was 1:3:5. If jenny scored 10 points last week, what was the total number of points scored by these three girls?
|| Answer ||The ratio of points scored by Jennie, Sarah, and Sadie in the basketball games played last week was 1:3:5.
jenny scored 10 points last week game.
=> 1x, 3x, 5x.
=> 1(10), 3(10) , 5(10)
=> 10, 30, 50
Therefore, The points scored by Jennie, Sarah, and Sadie in the basketball game played last week was 10, 30, 50
The total number of points scored by these three girls are:- 10+30+50 = 90
please help me quick
Answer:
b c & e
Step-by-step explanation:
trust me
I’m having trouble with my music math
Answer:
dang with what
Step-by-step explanation:
Answer:
Learn how to do it
Step-by-step explanation:
if you learn how to do it you won't have trouble
860.89 is what percent of 437?
Answer:
197
Step-by-step explanation:
1.97 = 437/860.89
1.97=197%
As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and
hair color among students. The table below contains the results of the survey.
Hair Color
Blue
Eye Color
Gray Green Brown Marginal Totals
5 21 10
78
Blond
42
Red
12
22
19
12
65
Brown
22
5
12
34
73
Black
9
3
11
64
87
Marginal Totals
85
35
63
120
303
From the sample population of students with blond hair, what is the approximate value of the relative frequency of students with green eyes?
Answer:
27%
Step-by-step explanation:
The approximate value of the relative frequency of students with green eyes from the given sample population is; 27%
What is the Relative Frequency?From the given table, the number of students with Blonde hair = 78
Number of students with blonde hair and green eyes = 21
Now, relative frequency is defined as the ratio of the number of outcomes in which a specified event occurs to the total number of trials, in an actual experiment.
Thus, in this question;
Relative frequency of students with green eyes = 21/78 = 2.7 = 27%
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Square tiles of side 30 cm were
used to cover a floor which is 9 m
long and 6 m wide. How many
square tiles were used?
tephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
The total number of servings Stephen can achieve with 1/10 kilograms of tofu at 2/25 kilograms per serving is 5/4 servings
Unit rateTofu per serving = 2/25 kilogramsTotal tofu Stephen has = 1/10 kilogramsNumber of servings = Total tofu Stephen has ÷ Tofu per serving
= 1/10 ÷ 2/25
= 1/10 × 25/2
= (1×25) / (10 × 2)
= 25/20
= 5/4 servings
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As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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solve for x, neg x over 4 = 12 A 48 or B -3 or C 3 or D -48?
The solution for x is -48, the answer is D) -48.
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a value that can change based on the values assigned to the variables.
Starting with:
x:4 = 12
Multiplying both sides by -1 gives:
(-x÷4) = -12
Simplifying the left side:
x÷4 = -12
Multiplying both sides by 4 gives:
x = -48
Therefore, the solution for x is -48, the answer is D) -48.
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D
Kathy paid $23.40 for gas. If she bought
6.4 gallons, then how much did each gallon
cost? Round to the nearest penny.
a. 3.45
b. 3.50
0.3.66
What is the equation of the line graphed below?A y+1=-3(x-1)B y+1=-3(x-2)C y+2=-3(x-2)D y+2=-3(x-1)
Given the line graphed, you can identify that it passes through this point:
\((0,2)\)The Point-Slope Form of the equation of a line is:
\(y-y_1=m(x-y_1)\)Where "m" is the slope of the line and this is a point on the line:
\((x_1,y_1)\)The Slope-Intercept Form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
You can find the slope of the line using this formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where these two points are on the line:
\((x_1,y_1),(x_2,y_2)\)In this case, all the answer choices show that the slope is:
\(m=-3\)Then, you can substitute a point on the line graph into the equations provided in the answer choices and evaluate, until you find a true equation:
Using the equation given in Option A, you can substitute:
\(\begin{gathered} x=0 \\ y=2 \end{gathered}\)You get:
\(y+1=-3(x-1)\)\(2+1=-3(0-1)\)\(3=-3(-1)\)\(3=3\text{ \lparen True\rparen}\)Hence, the answer is: Option A.
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.
The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.
the correct answer is C. debit to allowance for credit losses of R4,400.
To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.
Beginning balance of accounts receivable: R200,000
Services delivered on credit: R660,000
Collections from debtors: R640,000
To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:
Ending accounts receivable = (Beginning balance + Services delivered) - Collections
Ending accounts receivable = (R200,000 + R660,000) - R640,000
Ending accounts receivable = R220,000
Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:
Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage
Allowance for credit losses adjustment = R220,000 * 2% = R4,400
Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:
the correct answer is C. debit to allowance for credit losses of R4,400.
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Plans for a new apartment complex call for buildings directly across the fence fromeach other to be congruent. This computer printout shows Building A.If the vertices of Building B are located at (2x1,2y.), (2:02, 2y2), (2.23, 2y3), and(244, 244), will Building B be congruent to Building A?
The vertices of building B are the vertices of building A multiplied by a factor of 2.
If the buildings are congruent, then corresponding sides should have the same length.
If we take the side of building A that goes from (x1, y1) to (x1, y2), its length is |y2-y1|.
If we take the corresponding side for Building B that goes from (2*x1, 2*y1) to (2*x1, 2*y2), the length as distance between the vertices is now |2y2-2y1|=2*|y2-y1|.
Then, we have a corresponding side that is twice as long. Then, as we have at least one pair of corresponding sides that do not have the same length, we can conclude that the buildings are not congruent.
We can see that the transformation applied is a dilation.
To both buildings to be congruent, the transformation should have been a translation or rotation, but without a change in the scale.
Answer: No, because the transformation applied was a dilation.
When Max was a puppy, he weighted 5 1/2 pounds. At his 1-year check-up with the vet, Max weighted 15.8 pounds. How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Max gain 10.3 pounds of weight between the time he was a puppy and his 1-year check-up.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
When Max was a puppy, he weighted \(5\frac{1}{2}\) pounds
At his 1-year check-up with the vet, Max weighted 15.8 pounds
We need to find the weight did Max gain between the time he was a puppy and his 1-year check-up.
To find this we need to find the difference when Max was a puppy and after one year check up.
Difference is nothing but subtracting one value from another value.
Let us convert mixed fraction \(5\frac{1}{2}\) pounds to improper.
\(5\frac{1}{2}\) =11/2=5.5
Now subtract 15.8-5.5
10.3 pounds.
Hence, max gain 10.3 pounds of weight between the time he was a puppy and his 1-year check-up.
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Twenty-five percent of the boys at Bussey Middle School are on the A-Honor Roll. What fraction of the boys are on the A-Honor Roll?
Answer:
Step-by-step explanation:
First, you need to divide 25 into 100 to find what fraction is 25%.
Therefore 25/100 = 1/4
As a fraction 25% = 1/4
1/4 is on the honor roll.
3. Find the value of x
17 in
x in
8 in
The value of the missing side length x in the right triangle is 15 inches.
What is the value of x?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
( hypotenuse )² = ( leg 1 )² + ( leg 2 )²
The image in the diagram is a right triangle:
Hypotenuse = 17 inches
Leg 1 = 8 inches
Leg 2 = x
To solve for x, we use the pythagorean theorem.
( hypotenuse )² = ( leg 1 )² + ( leg 2 )²
( leg 2 )² = ( hypotenuse )² - ( leg 1 )²
( leg 2 )² = ( 17 )² - ( 8 )²
( leg 2 )² = 289 - 64
( leg 2 )² = 225
Take the square roots
Leg 2 = √225
Leg 2 = 15 inches.
Therefore, the value of x is 15 inches.
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Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is
27/20000 is the rate as a fraction in simplest form.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Which fraction types are there?
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.270 robberies per 200,000 residents in fraction form = 270/200000
= 27/20000
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In the equation 7y = 70, what is the next step in the equation solving sequence?
Isolate the variable through inverse operations.
Identify and move the coefficient or variable.
Solve for the variable.
Combine like terms.
Answer:
Isolate the variable through inverse operations
Step-by-step explanation:
The next step would be to divide 70 by 7 to get y by itself. Dividing by 7 is the inverse of multiplying by 7.
La empresa clarisse dedicada al rubro de telefónica, está ampliando su cobertura, debido a esto está colocando postes, donde la séptima parte de un poste está enterrada, y sobresale del suelo 25 metros. Calcular la altura del poste aproximado a los centímetros.
The approximate height of the pole in centimeters is 17,500 centimeters.
We have,
Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.
We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.
25 = L/7
where L is the total length of the pole.
We can solve for L by multiplying both sides of the equation by 7:
L = 7 x 25
= 175 meters
Now we need to convert this length to centimeters.
Since 1 meter is equal to 100 centimeters,
175 meters x 100
= 17,500 centimeters
Therefore,
The approximate height of the pole in centimeters is 17,500 centimeters.
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The complete question.
The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
2(x + 3) multiply the expression
Answer:
2x+6
Step-by-step explanation:
Do you mean simplifying the expression?
Distribute 2 to both of the numbers in the parentheses (multiply)
2 * x = 2x
3*2 =6
2x+6
graph y-intercept 6 and slope-7
We will get y = -7x + 6 in graph y-intercept 6 and slope-7.
The equation of the line with a y-intercept of 6 and a slope of -7 can be written in slope-intercept form as:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the given values, we get:
y = -7x + 6
So the equation of the line is y = -7x + 6.
slope -7 and y - intercept 6.
Slope intercept form: y = mx + b, m=slope, b = y-intercept
y = -7x + 6
Just plug in a value for x and solve for y
x y=-7x+6
------------------
0 6
1 -1
If you plot these two points and draw a straight line through them,
that is the graph of the line.
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The growth of a bug population shows a geometric sequence as shown in the table. This pattern continues indefinitely. What will the population be on Week 26? Week 1 2 3 Population 500 600 720
The bug population whose growth shows geometric sequence ,on Week 26 the value is approximately 9,461.01.
What is a geometric sequence, and how can we use it to predict the growth of a population?
A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio. Mathematically, a geometric sequence can be expressed as:
\(a, ar, ar^2, ar^3, ...\)
where a is the first term, r is the common ratio, and each subsequent term is obtained by multiplying the previous term by r.
Calculation of the bug population on week 26 -
To solve this problem, we can use the formula for a geometric sequence:
\(a_n = a_1 \times r^{n-1}\)
Where:
\(a_n\) = the nth term in the sequence
\(a_1\) = the first term in the sequence
r = the common ratio between terms
n = the term number
We are given that the bug population follows a geometric sequence, with a first term of 500 and a second term of 600. To find the common ratio, we can divide the second term by the first term:
\(r = 600 / 500 = 1.2\)
Now we can use the formula to find the population on Week 26:
\(a_{26} = 500 \times 1.2^{(26-1)}\)
\(a_{26} = 500 \times 1.2^{25}\)
Evaluate this expression to get:
\(a_{26}\) ≈ \(9,461.01\)
Therefore, the bug population on Week 26 is approximately 9,461.01.
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Please help me with this question if you can
ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...