In a typical day, 46% of people in the United States with Internet access go online to get news. In a random sample of five people in the United States with Internet access, what is the probability that

a) exactly one goes online to get news
b) three or fewer go online to get news
c) fewer than three go online to get news
d) In samples of 5, what is the mean number who go online to get news?

Answers

Answer 1

a) The probability that exactly one person goes online to get news is approximately 0.3563.

b) The probability that three or fewer people go online to get news is approximately 0.7769.

c) The probability that fewer than three people go online to get news is approximately 0.5977.

d) In samples of 5 people, the mean number who go online to get news is 2.3.

How to calculate the probability

a) Probability of exactly one person going online to get news:

P(X = 1) = (5 choose 1) * (0.46) * (1 - 0.46)⁴

P(X = 1) = 5 * 0.46 * 0.54⁴

P(X = 1) ≈ 0.3563

b) Probability of three or fewer people going online to get news:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X ≤ 3) = (5 choose 0) * (0.46)^0 * (1 - 0.46)^(5 - 0) +

(5 choose 1) * (0.46) × (1 - 0.46)⁴ +

(5 choose 2) * (0.46)² * (1 - 0.46)³ +

(5 choose 3) * (0.46)³ * (1 - 0.46)²

P(X ≤ 3) ≈ 0.7769

c) Probability of fewer than three people going online to get news:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) ≈ 0.5977

d) Mean number of people who go online to get news in samples of 5:

The mean (or expected value) of a binomial distribution is given by the formula: μ = n * p

μ = 5 * 0.46

μ = 2.3

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Related Questions

HELP !!! find the surface area of each figure. Round it to the nearest tenth.​

HELP !!! find the surface area of each figure. Round it to the nearest tenth.

Answers

Answer:

556

Step-by-step explanation:

Surface area=2*(lb+bh+lh)=2*(110+80+88)=556

Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.

Answers

Answer:

(2.19 x 4) + (0.79 x 3)

Step-by-step explanation:

ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.

Answer:

9.55

Step-by-step explanation:

let x be the number of heads in three tosses of a fair coin. what is the probability that x is greater than or equal to 1?

Answers

The probability that x is greater than or equal to 1 is 0.875 or 87.5%

To find the probability that x, the number of heads in three tosses of a fair coin, is greater than or equal to 1, we can use the following steps:

1. Determine the total possible outcomes: There are 2 outcomes for each coin toss (heads or tails), so for 3 tosses, there are 2^3 = 8 possible outcomes.
2. Count the outcomes where x is greater than or equal to 1: We have 7 favorable outcomes (HHH, HHT, HTH, THH, HTT, THT, and TTH). The only outcome not included is TTT (no heads).
3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.

Probability(x ≥ 1) = (favorable outcomes) / (total possible outcomes) = 7 / 8 = 0.875

So, the probability that x is greater than or equal to 1 is 0.875 or 87.5%.

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0. 00147 in standard form

Answers

Answer:

Answer: It can be written as 1.47x10-³

Step-by-step explanation:

0.00147 = 1.47

1.47 = 1.47 x 10 -^3

A triangle is translated by using the rule (x,y) (x-4,y+2) which describes how the figure is moved ?

Answers

Answer:

4 units to the left and 2 units up.

Step-by-step explanation:

To find the explanation of the translation using the rule (x,y) (x-4, y+2) you need to know what a translation is.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

The x is on the horizontal axis, so your moving -4 quadrants to the left.

The y is on the vertical axis, so your moving 2 upwards.

So, you would move -4 left, and 2 upwards.

Find a value of өin the interval [0°, 90°) in decimal degrees if sin ө=. 27843196

Answers

In the interval [0°, 90°), if sin θ = 0.27843196, the value of θ in decimal degrees is approximately 16.9505 degrees.

To find the value of θ in the given interval [0°, 90°), we need to determine the angle whose sine is equal to 0.27843196. We can use the inverse sine function, also known as arcsine \((sin^(-1) or asin),\) to find this angle.

Using a scientific calculator or trigonometric tables, we can find the inverse sine of 0.27843196. The inverse sine function will give us the angle whose sine is equal to the given value. In this case, the inverse sine of 0.27843196 is approximately 16.9505 degrees.

However, it is important to note that this value needs to be verified to ensure that it falls within the given interval [0°, 90°). Since the obtained angle of 16.9505 degrees is less than 90° and greater than or equal to 0°, it satisfies the condition of being in the interval [0°, 90°).

Therefore, the value of θ in the interval [0°, 90°) that satisfies sin θ = 0.27843196 is approximately 16.9505 degrees in decimal degrees. This means that there is an angle within the specified interval whose sine is approximately 0.27843196.

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Find the volume of a pyramid with a square base, where the area of the base is 14.4 ft? and the height of the pyramid is 9.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

Probability

Step-by-step explanation:

The pyramid has a volume of roughly 46.1 cubic feet.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The formula for the volume of a pyramid is:

V = (1/3) * base area * height

We are given the base area as 14.4 ft² and the height as 9.6 ft. Substituting these values in the formula, we get:

V = (1/3) * 14.4 ft² * 9.6 ft

V = 46.08 ft³

Rounding to the nearest tenth of a cubic foot, we get:

V ≈ 46.1 ft³

Therefore, the volume of the pyramid is approximately 46.1 cubic feet.

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Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: Month 1 11 2 22 3 33 4 44 Kenji 1 11 2 22 3 33 4 44 Cameron 12 1212 13 1313 14 1414 15 1515 They both want an equation they can use to find how many books Cameron will have ( � cc) when Kenji has � kk books. Complete their equation. � = c=c, equals

Answers

The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every

Answer:

c=k+11

Step-by-step explanation:

HELP ME ASAP!!! PLS!!

The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?

A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours

Answers

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Can anyone please answer this question, Ill give points.

Can anyone please answer this question, Ill give points.

Answers

Answer:

(0,1) and (-10.-4)

Step-by-step explanation:

To find the solutions, find the points where both the curve and line intersect and read off the coordinates

Can anyone please answer this question, Ill give points.

What is the green dashed line called?

What is the green dashed line called?

Answers

Answer:

axis of symetry

Step-by-step explanation:

Beast_Building on yt

Find the value of

x in the equation below.

36=4x

Answers

Answer:

4x(÷4)=36(÷4)

x=9

I hope I help you in this ans and tq.

Answer: 9

Step-by-step explanation: Because the problem is 36=4x the X next to the 4 means to multiply BUT since we don't no the answer there are many ways to solve this one way is to find what you can multiply for with or you can divide 36 and 4.

Hope fully that helps!!!

An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called.

Answers

An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called a valid argument.

In logic and critical thinking, an argument consists of two main components, premises and a conclusion.

The premises are statements or reasons put forth as evidence or support for the conclusion.

The conclusion is the statement that is being asserted or inferred based on the premises.

A valid argument is one in which the logical relationship between the premises and the conclusion is such that if the premises are true.

Then the conclusion must also be true.

In other words, the conclusion logically follows from the premises.

When an argument is valid, it means that the truth or validity of the premises guarantees the truth or validity of the conclusion.

It does not necessarily mean that the premises are true in reality, but rather that if they were true, the conclusion would be true as well.

Here is an example to illustrate a valid argument,

Premise 1

All mammals are warm-blooded animals.

Premise 2

Dogs are mammals.

Conclusion,

Therefore, dogs are warm-blooded animals.

In this example, if we assume that the premises are true, the conclusion logically follows.

The truth of Premise 1 establishes that all mammals are warm-blooded, and Premise 2 identifies dogs as mammals.

This implies, the conclusion that dogs are warm-blooded animals logically follows from the given premises.

A valid argument can still have false premises or a false conclusion.

The validity of an argument simply relates to the logical relationship between the premises and the conclusion.

Rather than the truth or accuracy of the statements themselves.

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Help!!
Solve for v.
14v - 10 = 14v

Answers

Answer:

sln

14v-10=14v

14v-14v=10

the Value of v don't get because when 14v-14v is equal to zero

3 letters are typed, without repetition. what is the probability that all 3 will be vowels? write your answer as a percent. round your answer to three decimal places.

Answers

The probability of typing three letters without repetition and all three being vowels is approximately 6.667%.

To calculate the probability, we need to determine the total number of possible three-letter combinations without repetition and the number of combinations where all three letters are vowels.

The total number of possible three-letter combinations without repetition:

Since there are no repetitions allowed, we have 26 choices for the first letter (26 alphabets), 25 choices for the second letter (excluding the first letter), and 24 choices for the third letter (excluding the first and second letters). Therefore, the total number of possible combinations is 26 x 25 x 24 = 15,600.

The number of combinations where all three letters are vowels:

Out of the 26 alphabets, there are 5 vowels (a, e, i, o, u). So, we have 5 choices for each of the three letters. Therefore, the number of combinations where all three letters are vowels is 5 x 5 x 5 = 125.

Calculating the probability:

The probability is given by the number of favorable outcomes (combinations where all three letters are vowels) divided by the total number of possible outcomes (all three-letter combinations without repetition).

Probability = (Number of combinations where all three letters are vowels) / (Total number of possible combinations)

Probability = 125 / 15,600 ≈ 0.008

Converting to a percentage and rounding to three decimal places, the probability is approximately 0.800%.

Therefore, the probability of typing three letters without repetition and all three being vowels is approximately 6.667%.

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The volume of the milk produced in a single milking session by a certain breed of cow is
Normally distributed with mean 2.3 gallons with a standard deviation of 0.96 gallons.
Part A Calculate the probability that a randomly selected cow produces between 2.0
gallons and 2.5 gallons in a single milking session. (4 points)
Part B A small dairy farm has 20 of these types of cows. Calculate the probability that the total volume for one milking session for these 20 cows exceeds 50 gallons. (8 points)
Part C Did you need to know that the population distribution of milk volumes per
milking session was Normal in order to complete Parts A or B? Justify your answer.

Answers

Part A: the probability that a cow produces between 2.0 and 2.5 gallons is approximately 0.6826.

Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need additional information about the correlation or independence of the milk volumes of the 20 cows.

Part A: To calculate the probability that a randomly selected cow produces between 2.0 and 2.5 gallons in a single milking session, we can use the normal distribution. We calculate the z-scores for the lower and upper bounds and then find the area under the curve between these z-scores. Using the mean of 2.3 gallons and standard deviation of 0.96 gallons, we can calculate the z-scores as (2.0 - 2.3) / 0.96 = -0.3125 and (2.5 - 2.3) / 0.96 = 0.2083, respectively. By looking up these z-scores in the standard normal distribution table or using a calculator, we can find the corresponding probabilities.

Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need to consider the distribution of the sum of 20 independent normally distributed random variables. We can use the properties of the normal distribution to find the mean and standard deviation of the sum of these variables and then calculate the probability using the normal distribution.

Part C: Yes, we needed to know that the population distribution of milk volumes per milking session was normal in order to complete Parts A and B. The calculations in both parts rely on the assumption of a normal distribution to determine the probabilities. If the distribution were not normal, different methods or assumptions would be required to calculate the probabilities accurately.

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what was the water level at 0 minutes when Henry began to fill the tank?

what was the water level at 0 minutes when Henry began to fill the tank?

Answers

Answer:

9

I hope this helps and have a good day

1. A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show?

A. 7,350 people

B. 2,100 people

C. 3,675 people

D. 190 people

Answers

7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

The formula for calculating the total number of seats in a concert venue with 20 seats in the first row and 5 additional seats in each successive row is: (20 + (35-1)*5) x 35.

To solve for the number of people that can attend a sold-out show: (20 + (35-1)*5) x 35 = 7,350.

7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

Therefore, 7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

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An aeroplane flie 2695km in 3hr 30minute how long will take to fly a ditance of 6160km at the ame peed

Answers

The airplane that flies 2695km in 3hr 30minute will take 8 hr to fly a distance of 6160km

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

The formula and procedure we will use to solve this problem is:

v= x/t

Where:

x = distancet = timev = velocity

Information about the problem:

x = 2695 kmt = 3 hr and 30 minx2 = 6160 kmt2 = ?

Converting the time from minutes to hours we have:

30 min * (1 hr / 60 min) = 0.5 hr

t = 3 hr + 0.5 hr = 3.5 hr

Applying the velocity formula we get:

v = x/t

v = 2695 km / 3.5 hr

v = 770 km/ hr

Applying the velocity and isolating the time we have:

t2 = x2/v

t2 = 6160 km / 770 km/ hr

t2 = 8 hr

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Probability of obtaining heads in a specific coin flip is a random variable, A. B is a random variable that takes value of 1, if the coin toss results in a head, and 0 if coin toss results in a tail. a. Find the mean and variance of B. f₁(a) = {² b. Find the correlation coefficient of A and B. (2 0.5

Answers

a. The mean of the random variable B is the expected value of B, which is equal to the probability of obtaining a head, denoted by P(A). Therefore, the mean of B is P(A).

The variance of B, denoted by Var(B), can be calculated using the formula Var(B) = P(A)(1 - P(A)). Since B takes on values of either 0 or 1, P(A) represents the probability of obtaining a head. Therefore, the variance of B is P(A)(1 - P(A)).

b. The correlation coefficient measures the strength and direction of the linear relationship between two random variables. In this case, we have the random variables A (representing the probability of obtaining heads) and B (taking the value 1 if a head is obtained, and 0 otherwise).

The given correlation coefficient, 0.5, implies a positive linear relationship between A and B. A value of 0.5 indicates a moderate positive correlation between the two variables. This means that as the probability of obtaining heads (A) increases, the likelihood of B being 1 also increases, and vice versa. The correlation coefficient provides a measure of the strength and direction of this relationship between A and B.

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Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Answers

Answer:

Step-by-step explanation:

C

jenica has a total of $3.40 in nickels and quarters if she has 20 coins, how many nickels and how many quarters?

Answers

There are 8 Nickels and 12 Quarters.

Now, According to the question:

Let's know:

What are Decimals?

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

Here, 34 is a whole number part and 5 is the fractional part.

Jennica has a total of $3.40 in nickels

and, she has 20 coins

For easier calculation, Take the decimals out.

N+Q=20

Q=20-N

5N+25(20-N)=340

5N+500-25N=340

-20N=-160

-20N/-20=-160/-20

N=8

8+Q=20

Q = 12

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what does it mean translate the figure 5 units up

what does it mean translate the figure 5 units up

Answers

By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.

The Image is the figure obtained after the transformation and the Pre-Image is the original figure.

In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:

\((x,y)\rightarrow(x,y+5)\)

You can identify that the marked point on the Pre-Image has the following coordinates:

\(\mleft(-4,-3\mright)\)

Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:

\(\mleft(-4,-3\mright)\rightarrow\mleft(-4,-3+5\mright)\rightarrow(-4,2)\)

The answer is:

Coordinates of the marked point in the original figure:

\((-4,-3)\)

Coordinates of the marked point in the final figure:

\(\mleft(-4,2\mright)\)

James works on his history work for 9/10 of an hour. He works on English for 3/10 of an hour.

How much longer does James work on history than on English?

Answers

Answer:

3 times more.

Step-by-step explanation:

\( \frac{9}{10} \div \frac{3}{10} = \frac{9}{10} \times \frac{10}{3} = 3 \)

multiply 3x3yand 4x3
Here,​

Answers

Answer:

21

Step-by-step explanation:

What is the measure of m?
n
m

28

7
m = [? ] V
Give your answer in simplest form.

What is the measure of m?nm287m = [? ] VGive your answer in simplest form.

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies \sqrt{245}=m\implies \sqrt{7^2\cdot 5}=m\implies 7\sqrt{5}=m\)

What is the measure of m?nm287m = [? ] VGive your answer in simplest form.

How to I find the x and y values for number 11 and 12

How to I find the x and y values for number 11 and 12

Answers

Answer:

11. x and y equal 35

12 - x = 64 and y=116

Step-by-step explanation:

For #11 they give you an angle (110) and they tell you that the two sides are congruent. If the two sides are congruent then the opposite angles are congruent. so x and the other missing angle are congruent. If a triangles sides add up to 180 we have to subtract 110 from 180 and divide that by 2

180-110=70

70/2 so x and the other missing angle equal 35

now to find y, well the angle equal to 35 and y are vertical angles so they are congruent with each other so x and y equal 35

For #12 they give you an angle (52) and tell you that two sides are congruent, meaning the opposite angles are also congruent. So for this one we do the same thing subtract 52 from 180 and divide that by 2

180-52=128

128/2=64 so y and the other missing angle in the triangle equal 64

to find x we look at y and see that they are supplementary angles so they will add up to 180 so to find x we subtract 64 from 180

180-64=116

so x = 64 and y=116

have a great day :D

Answer:

X And Y Equal To 110

Step-by-step explanation:

Hope It Helps U

f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush

Answers

The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:

20 would be in the column for 2, and 60 would be in the column for 6.

What is a proportional relationship?

A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:

y = kx

The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:

k = 6/2 = 3.

Hence the equation is:

y = 3x.

The values given by each column are given as follows:

Column 2: values of x.Column 6: values of y.

When x = 20, the numeric value of the relationship is of:

y = 3 x 20 = 60.

Hence the first option is correct.

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John bought a 4-year certificate of deposit for $9.800 that has an interest rate of 3.255 % compounding monthly
How much interest will he earn after the 4 years?

Answers

Answer:

hi

Step-by-step explanation:

want to start a conversation

to find the height of an apple tree in her yard, susan held a clipboard near her eye so that the top of the tree was viewed along one edge of the book and base of th etree was viewed along the adjacent edge.. if her height of eye is 4.5 feet and she is standing 15 feet fromt he tree, how tall is the tree?

Answers

The height of the apple tree in Susan's yard is 9 feet.

To find the height of the apple tree in Susan's yard, we can use similar triangles.
Step 1: Identify the two similar triangles.
Triangle 1 is formed by Susan's eye height (4.5 feet), the ground, and her distance from the tree (15 feet). Triangle 2 is formed by the tree's height, the ground, and the same 15 feet distance.
Step 2: Set up the proportion.
Let 'h' be the height of the tree. The proportion can be written as:
(height of eye) / (distance from tree) = (tree height) / (distance from tree)
4.5 / 15 = h / 15
Step 3: Solve for 'h'.
Cross-multiply the proportion to solve for 'h':
4.5 × 15 = h × 15
67.5 = h × 15
Divide both sides by 15:
h = 67.5 / 15
h = 4.5
Step 4: Add Susan's eye height to find the total height of the tree.
Total tree height = height of eye + height of tree above eye level
Total tree height = 4.5 + 4.5
Total tree height = 9 feet
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Other Questions
Please hurry!!!! I need answer ASAP!!!!!David wants to buy a new bicyclethat cost $295 before a 40%discount. He finds the cost after thediscount, in dollars, by evaluating295 295(0.40). His brother Michaelfinds the same cost by evaluating295(1 0.40). What property can beused to justify that these twoexpressions represent the same costafter the discount?A. associative propertyB. cominutative propertyC. distributive propertyD. subtraction property of equality true or false breathe into the mouth first, then do chest compressions Why does stability gradient in aircrafts change with the centerof gravity and configuration, relate this to the center of gravityand the aerodynamic center of the aircraft. Why might Colombia have wanted so much money to allow an American presence in a region they controlled? consider what happened to other areas where the united states was involved like samoa, hawaii, and cuba. two numbers are in the ratio 7:9 if the sum of the number is 112 then the lrger number is? Q11(a)1(b)Here is a list of numbers:9,5, 1, 4, 8, 6, 2, 11, 4,3 =Calculate the mean of the list of numbers.5310=5.3Calculate the range of the list of numbers. What does the Law of the Jungle say about being sorry? The value of (1 + cosA ) (1- cosA ) cosecA Referring to the PPF shown in above graph, the maximum number of motorcycles Japan can produce is at point: a. C b. A c. B a. D QUESTION 2 The Heckscher-Ohlin model of comparative advantage is primarily concerned with differences in technology among the countries of the world. True False QUESTION 3 In the diagram above, movement between which two points signified an increase in economic efficiency? a. D to B b. A to D c. B to D d. A to B In reference to the above graph, suppose Vietnam and Japan are producing and consuming at points A and D, respectively. If they agree on the price shown on the graph (the slope of the tagent line), then Japan would export a. rice equal to DE. b. motorcycles equal to EN. c. motorcycles equal to CE. d. rice equal to DF. QUESTION 5 A country could have an absolute disadvantage in a product but still export this product because of its comparative advantage. True FalsePrevious The speed of Train A is 88 km/hr, and the speed of Train B is 96 km/hr. Based on this information, which of the following statementsis true?.Train A has more kinetic energy than Train B.OB. Neither train has any kinetic energy..The trains have the same kinetic energy.ODTrain B has more kinetic energy than Train A We know that bacteria are intimately related to human health and disease but microbes also play a role in maintaining the health of Earth. Microbial populations have tremendous capacity to adapt to changes in their environment, and as such, may alleviate some of the damage caused by human activity. Consider a human-induced environmental change. Do some research and describe 1) what the human change is and what it has done to the environment and 2) what microorganisms are being examined to help fix this issue. In your discussion, be sure to include how microbial metabolism plays a role in "fixing the issue". If you need ideas, you may research one of the following questions:Can ocean acidification, temperature increases and rising sea levels be changed by increasing microbial diversity or function in the ocean, and what will the cascading effects of this be?How do we use microorganism to fix human activities, such as oil or toxic waste spills? Do these measures influence the sub-surface microbiome(s) and if so, how, or what are the consequences?Should we manipulate microbial succession in species-poor soils to encourage repopulation by flora and fauna? Do these measures influence the sub-surface microbiome(s) and if so, how, or what are the consequences? what ratios are greater than 5:8 what are the three legal moves when using algebra tiles Think about the division expression 2 1/5 / 3/5 Do you expect the quotioent to be less than 1 or greater than 1? why?The fraction 3/5 fits into 2 1/5 less than/more than 1 time. That means the quotionet is less than/ greater than 1. On Monday, a museum had 150 visitors. On Tuesday, its had 260 visitors. Question A. Estimate the percent change in the number of visitors to the museum.Question B. About how many people would have to visit the museum on Wednesday to have the same percent change from Tuesday? Explain your answer with work please. 5(m-7n) when m = -2 and n=-6 Again, consider the market for Polow Pods. For eachitem lated below, explain what would happento the price andouantity exchagsed in the market sewilibrium Your artswer needs to address bow the equilibrium would be affected and why this would occur (a) Consumer incomes fall diec to a recession fb. The curfens sale price of the Pillow Psd is lowered (c) The labor costs for peoducing Pilow Pads increase due to an onsoing werker shortage (d) The tabric and materials used an inpots for producing Pillow Pads become more expensive. You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and entertainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation? According to Hobbes, why would it be unjust overthrow a monarch? An experimenter finds that standing waves on a string fixed at both ends occur at 12 Hz and 16 Hz , but at no frequencies in between. What is the fundamental frequency?