The probability of someone who eats breakfast being male is 0.44 or 44%.
In order to find the probability that someone who eats breakfast is male, we need to use the information given in the tree diagram. Let's use the following notation: M - male F - female E - eats breakfast D - doesn't eat breakfast. According to the diagram, 62% of people eat breakfast and 38% don't. Therefore, the probability of eating breakfast is: P(E) = 62/100 = 0.62To find the probability of someone who eats breakfast being male, we need to look at the branch where someone eats breakfast. From the diagram, we can see that of the people who eat breakfast, 44% are male. Therefore, the probability of someone who eats breakfast being male is: P(M|E) = 44/100 = 0.44
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c) A bus completes its journey in 14 hours with an average speed of 40 km per hour. How long does the bus take to complete the journey if its average speed is increased to 56 km per hour?
Explanation:
Compute the distance for the original speed and time
distance = rate*time
distance = (40 kph)*(14 hrs)
distance = 560 km
If we increase the rate or speed to 56 kph, then,
distance = rate*time
560 km = (56 kph)*x
560 = 56x
56x = 560
x = 560/56
x = 10
The bus will travel for 10 hours if its speed is increased to 56 km per hour.
Answer:
A bus takes 4.5 hours to complete a complete a journey at a speed of 40km/hr
So, in this case, We will find the distance first because the distance is constant.
distance-speed*time
distance=40*4.5
distance=180km
distance=180km
Now, we find the time to cover the distance at the speed of 45km/hr
time distance/speed
time=180/45
time=4hrs
Therefore, the answer is 4hrs
Hope it helps you.Have a nice day!!put these fractions to least to greatest 8/9 6/9 5/9 7/9 please help
The sequence a, = 8, 13, 18, 23,...is the same as the sequence ay = 8,
an = any + 5.
A. True
B. False
Answer:
True
Step-by-step explanation:
8 + 5 = 13 + 5 = 18 + 5 = 23.
Sachi and Olivia are coaches on the soccer team. They bring bottles of water and lemonade to a game. Each bottle of water contains the same
amount of water, and each bottle of lemonade contains the same amount of lemonade.
Sachi brings 22 bottles of water and 15 bottles of lemonade, which is a total of 564 fluid ounces.
Olivia brings 28 bottles of water and 10 bottles of lemonade, which is a total of 536 fluid ounces.
Sachi and Olivia bring enough water and lemonade so that each player gets 2 bottles of water and 1 bottle of lemonade.
How many total fluid ounces does each player get?
Here every player gets 2 bottles of water and 1 bottle of lemonade. Then each player should get a total of 4 fluid ounces of water and 2 fluid ounces of lemonade.
Here we have to apply the principles of algebraic expressions to derive the answer
To evaluate the total fluid ounces each player gets, we can apply summation of the total fluid ounces from Sachi's bottles and Olivia's bottles then divide it by the number of players.
Total fluid ounces from Sachi's bottles = (22 × x) + (15 × y)
where
x = number of fluid ounces in each bottle of water
y = number of fluid ounces in each bottle of lemonade.
Total fluid ounces from Olivia's bottles = (28 × x) + (10 × y)
Total fluid ounces = Total fluid ounces from Sachi's bottles + Total fluid ounces from Olivia's bottles
Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
Total fluid ounces = 50x + 25y
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Total number of players = 2(Number of players on Sachi's team)
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Number of players on Sachi's team = Total number of players / 2
Number of players on Olivia's team = Total number of players / 2
Staging the values we get,
50x + 25y = Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
50x + 25y = 564 + 536
50x + 25y = 1100
Dividing both sides by 25,
2x + y = 44
Each player gets 4 fluid ounces of water and 2 fluid ounces of lemonade.
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Can someone help and tell me the right answer? Also od the first answer is wrong because I’ve submitted it once already and it was wrong also this is my only and last chance I’ll mark you brainlist after u explain why btw please and ty!
Answer:
It is 1/8 ask your teacher to fix it because 3/4 divided by 6 is 1/8
Step-by-step explanation:
4(9 + 4) – 6(9+2)
Pleaseeeeeeee helllppppp
Answer:
51
Step-by-step explanation:
4(9+4)-6(9+2)
9(13)-6(11)
117-66
51
Answer:
the answer for 4(9 + 4) – 6(9+2) is 54
Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents. T/F
False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.
Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.
To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.
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Solve the given inequality.
4.2x > 6.3
Answer:
x > 1.5
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the inequality.
\(4.2x > 6.3\)
x is being multiplied by 4.2 The inverse of multiplication is division. Divide both sides of the equation by 4.2
\(\frac{4.2x}{4.2} >\frac{6.3}{4.2}\)
\(x> \frac{6.3}{4.2}\)
\(x> 1.5\)
The solution to the inequality 4.2x > 6.3 is x>1.5
Answer:
\(\huge\boxed{x>1\dfrac{1}{2}\to x\in\left(1\dfrac{1}{2},\ \infty\right)}\)
Step-by-step explanation:
\(4.2x>6.3\qquad/\text{divide both sides by 4.2}\\\\\dfrac{4.2x}{4.2}>\dfrac{6.3}{4.2}\\\\x>\dfrac{6.3\cdot10}{4.2\cdot10}\\\\x>\dfrac{63:21}{42:21}\\\\x>\dfrac{3}{2}\\\\x>1\dfrac{1}{2}\)
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer & Step-by-step explanation:
In the problem, we are given an equation. h(t) = -20 + 11t
In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.
t = 11
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
So, h(11) is equal to 101
Answer:
101
Step-by-step explanation:
h(t)= -20+11t
h(11)= -20+11(11)
h(11)= -20+121
h(11) = 101
erez, Inc., owns 80% of Senior, Inc. During the year just ended, Perez sold goods with a 40% gross profit to Senior. Senior sold all of these goods during the year. In its consolidated financial statements for the year, how should the summation of Perez and Senior income statement items be adjusted
In the consolidated financial statements, the intercompany sales between Perez, Inc. and Senior, Inc. need to be eliminated to avoid double counting of the profits.
When Perez, Inc. sells goods to Senior, Inc., the intercompany sales should be eliminated in the consolidated financial statements. This means that the revenue and cost of goods sold related to these transactions should be removed from both companies' individual income statements.
Since Perez, Inc. sold goods with a 40% gross profit to Senior, Inc., the gross profit on these intercompany sales needs to be eliminated. This adjustment ensures that the consolidated financial statements reflect only the external sales and expenses of the group as a whole.
Furthermore, as Perez, Inc. owns 80% of Senior, Inc., the consolidated income statement should also reflect the portion of Senior, Inc.'s income that belongs to the non-controlling interest (20% ownership not held by Perez, Inc.). This adjustment ensures that the consolidated financial statements accurately reflect the economic interest of both the parent company (Perez, Inc.) and the non-controlling interest (the remaining 20% ownership in Senior, Inc.).
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erez, Inc., owns 80% of Senior, Inc. During the year just ended, Perez sold goods with a 40% gross profit to Senior. Senior sold all of these goods during the year. In its consolidated financial statements for the year, how should the summation of Perez and Senior income statement items be adjusted?
suppose i have a cabbage, a goat and a lion, and i need to get them across a river. i have a boat that can only carry myself and a single other item. i am not allowed to leave the cabbage and lion alone together, and i am not allowed to leave the lion and goat alone together. how can i safely get all three across?
This is a classic river crossing puzzle. To safely get all three across take the goat across, leave the goat, take the lion across, take the cabbage across, return with the empty boat, Take the goat across to reunite with the cabbage and lion
Here's one possible solution:
First, take the goat across the river, leaving the cabbage and lion on the original side.Next, leave the goat on the other side and return to the original side with the empty boat.Then, take the lion across the river, and leave it on the other side with the goat.Return to the original side with the empty boat, and take the cabbage across the river.Finally, leave the cabbage on the other side and return to the original side with the empty boat.Take the goat across the river to reunite with the cabbage and lion on the other side.By following these steps, you will have successfully transported all three items across the river without violating the rules.
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2(x+4)+2=5x+1 solve for x
Answer:
x = 3
Step-by-step explanation:
2(x+4) + 2 = 5x + 1
2x + 8 + 2 = 5x + 1
2x + 10 = 5x + 1
-3x + 10 = 1
-3x = -9
x = 3
To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:
2(x + 4) + 2 = 5x + 1
First, distribute the 2 to the terms inside the parentheses:
2x + 8 + 2 = 5x + 1
Combine like terms on the left side:
2x + 10 = 5x + 1
Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:
2x - 2x + 10 = 5x - 2x + 1
Simplifying further:
10 = 3x + 1
To isolate the x term, subtract 1 from both sides:
10 - 1 = 3x + 1 - 1
9 = 3x
Finally, divide both sides of the equation by 3 to solve for x:
9/3 = 3x/3
3 = ×
Therefore, the solution to the equation is x = 3.
Kindly Heart and 5 Star this answer and especially don't forgot to BRAINLIEST, thanks!what is office personnel?
Answer:
Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.
Y=3x + 1 and 5x = y + 3
How to solve this type of simultaneous equation?
Answer:
(2, 7 )
Step-by-step explanation:
y = 3x + 1 → (1)
5x = y + 3 → (2)
substitute y = 3x + 1 into (2)
5x = 3x + 1 + 3
5x = 3x + 4 ( subtract 3x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
substitute x = 2 into (1)
y = 3(2) + 1 = 6 + 1 = 7
solution is (2, 7 )
4x-8=2x-10 slove for x
Step-by-step explanation:
4x - 8 = 2x - 10
4x - 2x = -10 + 8
2x = -2
2x/2 = -2/2
x = -1
what are some effects that can occur in a country if large numbers of people are out of work?
please don't answer to get points answer the question honestly and I'll mark you on brainless
it's not maths my bad it's social studies
Answer:
It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.
(a) construct a stem-and-leaf display using stems 1, 2, 3, and 4. (enter numbers from smallest to largest separated by spaces. enter none for stems with no values.)
The stem-and-leaf display of the data is
Stem | Leaves
1 | 2
2 | 2
3 | 3
4 | 5, 8
To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.
The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.
Now, let's organize the data values into their corresponding stems:
Stem 1: 12
Stem 2: 22
Stem 3: 33
Stem 4: 45, 48
Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:
Stem 1: 2
Stem 2: 2
Stem 3: 3
Stem 4: 5, 8
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find the area of the triangle having the given vertices. (0, 4), (2, 4), (−1, 6)
Answer:
2
Step-by-step explanation:
Use the area of a triangle, given 3 points formula:
A: (x1, y1) = (0,4)
B: (x2, y2) = (2,4)
C: (x3, y3) = (-1,6)
Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|
plug in all the coordinates
Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|
= 1/2|0 - 8 + 12 + 4 - 4 - 0|
= 1/2|-8 + 12 + 4 - 4|
= 1/2|4|
= 2
It rained 40% of the days during Casey's vacation. What fraction of the days did it rain?*
Answer:
40/100=2/5
2/5 is the answer.
The fraction of the days did it rain is 2/5.
What is the percentage?A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. The word "per 100" means "per percent." The number "%" is used to symbolize it.
Given It rained 40% of the days during Casey's vacation.
40% is written as
=> 40/100
divide by 20 in the numerator and denominator
40/100 = (40/20)/(100/20)
40/100 = 2/5
Hence fraction form is 2/5.
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Help, Help, Please
\( \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle\)
\( \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) \)
\(\text{note:explanation is a must}\)
Answer:
θ = \(\frac{\pi }{3}\) (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = \(\frac{1}{2}\) , so
θ = \(cos^{-1}\) (\(\frac{1}{2}\) ) = \(\frac{\pi }{3}\) ( or 60° )
Answer:
\( \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}\)
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:\( \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) \)\( \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) \)\( \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) \)\( \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0\)\( \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0\)\( \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0\)\( \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0\)\( \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} \)\(\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} \)\( \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation\)
\( \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} \)Tanya used 3/4 cup of flour to make 1/2 batch of muffins. How many cups of flour will she need to make 1 batch
Answer:
Step-by-step explanation:
4
What is the length of the hypotenuse of the triangle when x=14? 5x+7 3x
To find the length of the hypotenuse of a right triangle, we need to use the Pythagorean Theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):
c^2 = a^2 + b^2
In this case, we have two sides with lengths given by the expressions 5x + 7 and 3x. When x = 14, we can substitute this value into the expressions to find the lengths of the sides:
a = 5x + 7 = 5(14) + 7 = 77
b = 3x = 3(14) = 42
Now we can use the Pythagorean Theorem to find the length of the hypotenuse:
c^2 = a^2 + b^2 = 77^2 + 42^2 = 5929 + 1764 = 7693
Taking the square root of both sides, we get:
c = sqrt(7693) ≈ 87.7
Therefore, when x = 14, the length of the hypotenuse of the triangle is approximately 87.7 units. I
Which of the following situations could be represented with the following system of equations?
Option B is correct for the given system of equations.
The given system of equations 13(v-w)=52 and 12(v+w)=72.
What are systems of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).
By adding (1) and (2), we get
v-w+v+w=4+6⇒2w=10⇒w=5
By substituting w=5 in equation (1), we get v-5=4⇒v=9.
Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.
Therefore, option B is correct for the given system of equations.
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a 20-foot ladder is placed against a building. If the top of the ladder will lean against the building 4 square root 7 feet high, how far away from the base of the building is the bottom of the ladder located? include a sketch
First, let's draw a sketch of the problem to better understand it:
Since the distances 20, 4√7 and x create a right triangle, we can use the Pythagorean theorem to calculate the value of x.
The Pythagorean theorem states that the length of the hypotenuse squared is equal to the sum of each leg squared.
So we have:
\(\begin{gathered} 20^2=(4\sqrt[]{7})^2+x^2 \\ 400=16\cdot7+x^2 \\ 400=112+x^2 \\ x^2=400-112 \\ x^2=288 \\ x=\sqrt[]{288}=\sqrt[]{2\cdot12\cdot12}=12\sqrt[]{2}\text{ ft} \end{gathered}\)Therefore the wanted distance is 12√2 feet (16.97 ft).
What solid figure is shown below?
Answer:
rectangular prisim
Step-by-step explanation:
Answer:
rectangular prism
Step-by-step explanation:
rectangle shaped box
a sample of five households is selected, and the size of each household is recorded. the median size is 3 and the mode is 2. what is the mean?
The relation between mode, mean and median is:
mode=3median-2mean
Now, to find mean:
2mean=3median-mode
mean=7/2 = 3.5
Let we wish to evaluate the mean μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.
The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.
The random variable X¯ has a mean, denoted μX¯, and a standard deviation, denoted σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.
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Which measure is always the 50th percentile?
mean
median
upper quartile
Answer:
median
Step-by-step explanation:
the median is literally the middle number--half the numbers are higher, half the numbers are lower.
Joy's math certificate is 10 inches tall and 13 inches wide. Joy wants to put the certificate in a fancy frame that costs $3.00 per inch. How much will it cost to frame Joy's math certificate?
In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.
The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.
Joy wants to frame it in a fancy frame that costs $3.00 per inch.
To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.
The perimeter of the certificate is:
Perimeter = 2 × (height + width)
Substituting the given values, we get:
Perimeter = 2 × (10 + 13)Perimeter = 46 inches
Therefore, the total cost of framing Joy's math certificate is:
Total cost = Perimeter × Cost per inch
Total cost = 46 × 3.00Total cost = $138.00
Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.
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Does it go this way < less than or equal to or this way > less than or equal to
Answer:
Esta es mi respuesta dame corona
Step-by-step explanation:
¿Qué significan estos símbolos ≤ ≥?
El símbolo de mayor que es >. Entonces, 9>7 se lee como '9 es mayor que 7'. El símbolo de menor que es <. Otros dos símbolos de comparación son ≥ (mayor que o igual a) y ≤ (menor que o igual a).
Help ASAP PLEASE
calculate the value of x
Answer:
x = 65
Step-by-step explanation:
Since the lines are parallel, we can use angle theorems and postulates
Alternate interior angles are equal and x and 65 are alternate interior angles
x = 65