find the probability someone who eats breakfast is male
=143220&aid=10197871#/full 500 people were asked this question and the results were recorded in a tree diagram in terms of percent. M-male, F-female, E-eats breakfast, D-doesn't eat breakfast. 62% 38%

Answers

Answer 1

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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Related Questions

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?​

Answers

Answer:  10 hours

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

Answers

8/9, 7/9 6/9 5/9 is it from least to greatest form

The sequence a, = 8, 13, 18, 23,...is the same as the sequence ay = 8,
an = any + 5.
A. True
B. False

Answers

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?

Answers

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!

Can someone help and tell me the right answer? Also od the first answer is wrong because Ive submitted

Answers

The correct answer is 1/8 because when you do 3/4 divided by 6 you get that

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

Answers

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

Answers

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

Answers

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:

\(4.2x>6.3\qquad/\text{divide both sides by 4.2}\\\\\dfrac{4.2x}{4.2}>\dfrac{6.3}{4.2}\\\\x>\dfrac{6.3\cdot10}{4.2\cdot10}\\\\x>\dfrac{63:21}{42:21}\\\\x>\dfrac{3}{2}\\\\x>1\dfrac{1}{2}\)

Solve the given inequality.4.2x > 6.3

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

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

Answers

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?

Answers

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​

Answers

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.

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what is office personnel?​

Answers

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?

Answers

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

Answers

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

Answers

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.)

Answers

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)

Answers

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?*​

Answers

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
\( \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle\)
\( \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) \)
\(\text{note:explanation is a must}\)

Answers

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

Answers

1 cup and 2/4 is what she meeds 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

Answers

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?

Which of the following situations could be represented with the following system of equations?

Answers

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

Answers

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).

a 20-foot ladder is placed against a building. If the top of the ladder will lean against the building

What solid figure is shown below?

What solid figure is shown below?

Answers

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?

Answers

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

Answers

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?

Answers

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

Does it go this way &lt; less than or equal to or this way &gt; less than or equal to

Answers

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

Help ASAP PLEASE calculate the value of x

Answers

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

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Hello can anyone give me the full answer to this? will give brainiest First National Bank of America has more than 75% of its assets in first residential fixed-rate mortgages that mature in more than 5 years. Suppose that a 12-month Gap Analysis predicts a decrease in 2021 interest income of $3 million if there is a sudden 1% drop in market interest rates. From your knowledge of the practical flaws in gap analysis, a realistic simulation analysis would predict that:_______.1. Interest income will drop by more than $3 million for a sudden 1% drop in market interest rates 2. Interest income will drop by less than $3 million for a sudden 1% drop in market interest rates Algebra Question: Could someone help me with this question? Which scientist's atomic model is most recent?A. Dalton'sB. Rutherford'sO c. Thomson'sD. Bohr's Select the correct answer.Which is an example of nutrient pollution?A. when sewage is disposed of directly into waterways without being sterilizedB. when nitrogen mixes with a body of water leading to excessive growth of algaeC. when oil from offshore drilling reaches waterways that irrigate farmland which energy source do you think has or could have the greatest positive impact on earth? explain your answer What are the first issues you need to address according to the fundamental rules of marketing? If you are 60 inches tall and you cast a 80 inch shadow, how long is a shadow of a building if the shadow is 120 inches? Part AChoose the pronoun error in the paragraph.Not all ocean-dwelling creatures are fish. Animals that live in the sea include mammals, crustaceans, and even birds! These animals all have unique features that make it possible for [it] to survive and thrive in a watery world. Mammals, such as whales and sea lions, have a thick layer of fatty tissue called blubber. The blubber insulates [them ] against the cold waters of the deep sea. Part B Enter the pronoun that corrects error from part A How does mitosis affect cancer?. T/F The individual non interscholastic competition date refers to A date 6 weeks prior to the Monday of a state tournament after which non-interscholastic competition is no longer permitted should A student wish to participate in the OHSAA tournament series Assume that Social Security promises you $49,000 per year starting when you rotire 45 years from today (the first $49,000 will get paid 45 years from now). If your discount rate is 4%, compounded annually, and you plan to live for 15 years after retiring (so that you will receive a total of 16 payments including the first one), what is the value today of Social Security's promise? how do you add or subtract 3+{-7] "But so long as there is yet life in these our bones, we will never comply with your arbitrary laws". Develop the relationship between reducible and irreducible representation of C2v point group taking H2O as example and 3N cartesian coordinates as the basis set. One pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. If both pipes are open and working properly, it will take 3.5 hours to fill the pool. What is employment in the mining industry? The bodies of both fishes andreptiles are covered with Scalesbut theyare into difference group why When might you need to measure an objects radius? What grade would you give Napoleon on his foreign policy?A.B.C.D.Explain why