Answers
The diagram shows all possible outcomes, where H represents head and T represents tails is Option A.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is the measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. A probability of 0 means the event will not occur, while a probability of 1 means the event is certain to occur.
When a coin is tossed, the probability of it landing heads or tails is 1/2 or 0.5. This means that there is an equal chance of the coin landing heads or tails, assuming the coin is fair and not biased in any way. In other words, if the coin is flipped many times, half of the time it will land heads and half of the time it will land tails.
The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes. In the case of a fair coin, there are two possible outcomes - heads or tails - and only one way for each outcome to occur. Therefore, the probability of each outcome is 1/2 or 0.5.
The tree best represents all outcomes is option A.
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The complete question and options are:
Related Questions
If the lengths of the legs of a right triangle are 3 and 5, what is the length of the hypotenuse?
Answers
Using Pythagorean theorem
\(\\ \sf\longmapsto H^2=P^2+B^2\)
\(\\ \sf\longmapsto H^2=5^3+3^2\)
\(\\ \sf\longmapsto H^2=25+9\)
\(\\ \sf\longmapsto H^2=34\)
\(\\ \sf\longmapsto H=\sqrt{34}\)
\(\\ \sf\longmapsto H=5.22\)
51.60935 rounded to nearest cent
Answers
Round down to the nearest cent for amounts between 0 and 49 dollars. Round up amounts between 50 and 99 cents.
What is the closest cent in decimal places?Since you are dealing with money, you should round to the closest cent, which is the next hundredth, the second digit after the decimal point. In the hundredths spot, a 1 appears. There are no numbers following the decimal point since the closest cent would be a whole number. The basic rule is that any integer LESS THAN 5 is rounded down. Thus, 5.4 would be rounded up to the nearest whole number, which is 5. And every number GREATER THAN 5 is rounded up. What does it mean to round to the nearest cent. A penny is a unit of one dollar. It is one penny, to be exact. That might also be expressed as a decimal: 0.01.To learn more about cent, refer to:
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What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
Answers
Answer:
the surface area of the rectangular prism is 572cm².
Step-by-step explanation:
The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:
2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²
So the surface area of the rectangular prism is 572 square centimeters.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
Answers
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = 3x² - 7x-3
g(x) = -4x - 10
Answers
The value of the composite function (f o g)(3) is 1603
How to evaluate the composite function?The functions are given as
f(x) = 3x² - 7x - 3
g(x) = -4x - 10
Next, calculate (f o g)(x) using
(f o g)(x) = f(g(x))
So, we have
(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3
Substitute 3 for x.
So, we have
(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3
Evaluate
(f o g)(3) = 1603
Hence, the value of the composite function (f o g)(3) is 1603
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Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression. y = 3^x, 3^1.2 a. 1; 3.7 c. 0; 3.9 b. 1; 2.9 d. 0; 3.5
Answers
Answer:
The right answer is A
Step-by-step explanation:
The value of the exponential equation is y = 3ˣ and the graph is plotted
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
y = 3ˣ be equation (1)
Now , the y intercept of the equation is when x = 0
So , when x = 0
y = 3⁰
y = 1
Now , when y₁ = 3^1.2
The value of y₁ = 3.7
Therefore , the y intercept of the equation is 1 and the graph is plotted
Hence , the exponential equation is y = 3ˣ
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What is the y intercept of g(x)= 3(x+2)^2-3
Answers
Answer:
21
Step-by-step explanation:
To find the y intercept of this equation, substitute 0 in for x
When you do this, you get the equation g(0)= 3(0+2)^2-3
When you solve this equation, you get g(0)=21
Please mark as brainliest ;)
Answer:
+9
Step-by-step explanation:
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
Answers
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answers
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
Answers
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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Which of the following examples has a unit rate of 50 miles per hour? Select all that apply.
A) 250 miles in 5 hours
B) 300 miles in 5 hours
C) 200 miles in 4 hours
D) 240 miles in 4 hours
E) 700 miles in 14 hours
Answers
Answer:
I believe your answer would be the following:
A) 250 miles in 5 hours.
C) 200 miles in 4 hours
E) 700 miles in 14 hour
Step-by-step explanation:
Unit rate = 50
A) 250 miles in 5 hours // 50*5 = 250 (CORRECT)
B) 300 miles in 5 hours // 50*5 ≠ 300 (WRONG)
C) 200 miles in 4 hours // 50*4 = 200 (CORRECT)
D) 240 miles in 4 hours // 50*4 ≠ 240 (WRONG)
E) 700 miles in 14 hours // 50*14 = 700 (CORRECT)
Hope this helps! :)
=========================================================
Explanation:
We use this formula
speed = distance/time
to divide each pair of values given.
For choice A, we have speed = distance/time = 250/5 = 50 mph which shows choice A is one of the answers. Choice B doesn't work though because 300/5 = 60 mph. Choice C works since 200/4 = 50 mph.Choice D doesn't work: 240/4 = 60 mphBut choice E does work: 700/14 = 50 mphTo summarize, we got the following speeds
A) 50 mphB) 60 mphC) 50 mphD) 60 mphE) 50 mphFind absolute and relative change as a percentage.
The U.S. per person consumption of beef decreased from 67.8 pounds in 2000 to 57.7 pounds in 2020.
Answers
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
How to determine the absolute and relative change as a percentage.To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:
Calculating the absolute change:
Absolute change = Final value - Initial value
= 57.7 pounds - 67.8 pounds
= -10.1 pounds
Step 2: Calculate the relative change:
Relative change = (Absolute change / Initial value) * 100
= (-10.1 pounds / 67.8 pounds) * 100
≈ -14.9%
The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
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2. Write the correct equation that you would use to solve for side x.
Z
X
520
y = 13cm
Z
Y
Answers
The correct equation that could be used to solve for side x is x = sin52° × (Hypotenuse)
Trigonometry: Determining the correct equation to solve for side xFrom the question, we are to determine the correct equation that could be used to solve for side x
From the given diagram, we observe that
Side x is the Opposite
Side z is the Adjacent
Side y is the Hypotenuse
Using SOH CAH TOA, we can write that
sin (angle) = Opposite / Hypotenuse
From the diagram,
Given angle = 52°
Hypotenuse = y = 13
Thus,
sin 52° = x/13
x = sin 52° × 13
OR
x = sin52° × (Hypotenuse)
Hence, the equation is x = sin52° × (Hypotenuse)
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What is this number in standard form?
(5 × 1, 000) + (7 × 10) + (8 × 1) + (4 × ) + (1 × 1.000)
Answers
16,518
(or 1.6518 x 10⁴)
7 • 10 = 70
8 • 1 = 8
1 • 1.000 = 1
Then you add the answers together.
You put 4 x but you didn’t put whatever you had to multiply it by. So multiply and add the answer too. And that will be your answer
I need help in this question
Answers
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
Find the value of x and y.
3x=8-(2y)
Answers
Answer:
3x = 6y
Step-by-step explanation:
8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answers
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A black widow spider laid
346 eggs. A wolf spider laid
107 eggs.
How many more eggs did the
black widow spider lay than the
wolf spider?
Answers
Answer:
239 eggs
Step-by-step explanation:
We know that a black widow spider laid 346 eggs while a wolf spider laid 107 eggs and we are asked to find how much more eggs were laid by the black widow than the wolf spider.
To solve this, we need to subtract the amount that was laid from the black widow to the amount the wolf laid.
346 - 107
239
Given B is between A and C, find the value of x if AB = 27, BC = 11x, and AC = 159
Answers
Answer:
12
Step-by-step explanation:
Since, B is between A and C.
\(\therefore AB + BC=AC \\ 27 + 11x = 159 \\ 11x = 159 - 27 \\ 11x = 132 \\ x = \frac{132}{11} \\ x = 12\)
Tell whether 92 is a multiple of 8
Answers
Answer:
No, 92 is not a multiple of 8
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Some multiples of 8 is 8,16,24,32,40,48,56,64,72,80,88,and 96.
Evaluate 15 + |-3| - 4
Answers
Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answers
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?
Answers
Answer: there are 48 students in the class
Step-by-step explanation:
let x = the total number of students in the class
1 - 1/3 = 2/3
1/4 * 2/3 = 2/12 = 1/6
1/3x + 1/6x + 24 = x
2/6x + 1/6x + 24 = x
3/6x + 24 = x
1/2x + 24 = x
24 = x - 1/2x
24 = 1/2x
24 * 2 = x
x = 48
there are 48 students in the class
system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
Answers
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer
Answers
Answer: a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget
13. Jackie puts up a shelf in her room.
The shelf is 2 m long, correct to the nearest 10 cm.
Jackie plans to use the shelf to store DVD cases.
Each DVD case is 2 cm wide, correct to the nearest mm.
(a)
Work out the maximum possible number of DVDs that could be stored on the shelf.
Answers
Answer:
100 dvds
Step-by-step explanation:
2m = 200cm
200/2 = 100
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answers
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
7. You roll a standard dice twice and flip a coin. What is the probability you 5 points
roll a 5, roll a 3 and then flip heads? *
Answers
Answer:
can you just mark me brainlest
Step-by-step explanation:
Answer:
the answer would probably
Step-by-step explanation:
PAY ATTENTION IN CLASS AND YOU WOULD KNOWWW
Cleaning pumps remove waste from a dump site at the rate modeled by the function R, given by r of t equals 3 plus 2 times the cosine of the quantity 2 times pi times t divided by 15 with t measure in hours and and R(t) measured in tons per hour. How much waste will the pumping stations remove during the 8 hour period from t = 0 to t = 8? Give 3 decimal places.
Answers
By integrating the rate, we will see that waste pumped from t = 0 to t = 8 is A = 24.279
How to get the waste pumped in that interval?
We have the function:
R(t) = 3 + 2*cos(2pi*t/15)
This is the rate at which the waste is removed, then the waste that the station pumps between t = 0 and t = 8 is given by:
\(A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt\)
That integral gives:
\(A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt \\\\A = 3*(8 - 0) + 2*(15/2pi)*(sin(2pi*8/15) - sin(2pi*0/15))\\\\\\A = 24.279\)
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write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.
Answers
Answer:
f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)
Step-by-step explanation: