You surveyed the number of tree species along the American River watershed, and obtain the following data set. Please respond to the following questions. Species a b Forest A Number 10 8 3 Forest B Number 5 6 0 7 10 Forest C Number 8 8 5 2 NINO d 1 e 1 2 Which forest has the lowest species richness, A, B, or c?

Answer:

Step-by-step explanation:

Bringing like terms on one side

-11 + 18 > 5n - 3n

-7 > 2n

-7/2 > n

The initial speed of a ball thrown horizontally from the roof of a building at a height of 54 m and hitting the ground at a height of 32 m from the bottom is equal to 9.64 m/sec.

A ball throws horizontally from the roof of a building. This is where we have to take horizontal movement into account.

Height of building = 54 m

Height of ground from base = 32 m Calculates the initial speed of the ball.

Since the ball is thrown horizontally, its initial velocity has no vertical component. When released, the ball is subject to gravity and accelerates downward until it hits the bottom. To determine how long the ball stayed in the air before hitting the ground, use the following formula,

d = 1/2×g×t²

where g --> acceleration due to gravity

t --> time

d --> the distance covered by ball before hitting the ground, g= 9.81 m/s².

So, 54 m = (1/2) × 9,81 m/s² × t²

=> t² = 54/4.90

=> t² = 540/49

=> t² = 11.02 sec²

=> t = 3.31963 ~ 3.32 sec

So the ball will stay in the air for about 3.32 seconds. Let v₀ₓ be the horizontal component of the initial velocity. According to the information of the problem, the ball landed 32 m from the bottom of the building. Let's make the initial position x₀ = 0. Then, the final horizontal displacement of a ball will be equals to 32 metres. Using the distance velocity relation, x = x₀ + v₀ₓt and substituting all known values in it,

=> 32 m = 0 + v₀ₓ × 3.32 sec

=> v₀ₓ = 32/3.32

=> v₀ₓ = 9.6385 ≈ 9.64 m/sec

Hence, required value is 9.64 m/sec.

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Complete question:

A ball is thrown horizontally from the roof of a building 54 m high and hits the ground 32 m from the base. What was the initial speed of the ball?

Answer:

157.079633 cm^3

Step-by-step explanation:

Answer:

157.079633 cm^3

Step-by-step explanation:

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Answer:

15

Step-by-step explanation:

Each x in the graph stands for 1 nail.

Look at each column of x's above the numbers less than 1 1/2.

There are 15 nails in the columns to the left of 1 1/2.

Answer: 15

The ratio of red marbles to black marbles is 9:4, this implies:

By cross-multiplying and solving for x, we have:

Thus, the number of red marbles is 64+80=144 and the number of black marbles is 64.

Hence, the total number of marbles in the bag is:

The domain of an exponential function is all real numbers except for those for which the function is undefined. To find the domain, first identify any values that make the function undefined, such as 0 for a function with a denominator containing the variable in the exponent. Then the domain is all real numbers except for these.

The domain of an exponential function is all real numbers except for those which make the function undefined. To find the domain of the function, start by identifying any values of the variable that make the function undefined. For example, if the function contains a denominator with the variable in the exponent, then the domain cannot include 0. Once these values have been identified, the domain is all real numbers except for these. It is also important to remember that the domain of an exponential function is usually restricted such that the argument of the logarithm or exponential cannot be negative. This means that the domain may also exclude any negative values of the variable. Additionally, it is important to note that the domain of an exponential function may not always contain the entire set of real numbers, as the domain can be further restricted by the specific form of the function

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Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = \($\frac{4}{5}$\) th of the work

He takes time = \($3 \frac{1}{3}$\) hours to complete \($\frac{4}{5}$\) th of the work

The remaining work = \($1 -\frac{4}{5}$\)

                                 \($=\frac{5-4}{5}$\)

                                 \($=\frac{1}{5}$\)

∴  Darius completes \($\frac{4}{5}$\) th of the work in = \($\frac{10}{3}$\) hours

                           So, \($\frac{1}{5}$\) th of the work in = \($\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$\) hours

                                                                 \($=\frac{10}{12}$\) hours

Therefore total time taken to complete the work \($=\frac{10}{3}+\frac{10}{12}$\) hours

                                                                                  \($=\frac{40+10}{12}$\) hours

                                                                                  \($=\frac{50}{12}$\) hours

                                                                                  \($=4\frac{2}{12}$\) hours

                                                                                  \($=4\frac{1}{6}$\) hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.  

Answer:

the answer is 1,2,4,5 and 7.

Answer: The answer is A,B,D,E,G

Step-by-step explanation: just trust me and enjoy your write answers. Have a nice day.

Answer:

cat food ∑

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

40 x 95/100 = 38
95 is the amount
40 is the percent that this item is off by
100 is the maximum percent the item can be off by

Another example to prove this

40 percent * 95 =

(40:100)* 95 =

(40* 95):100 =

3800:100 = 38

Answer:

Step-by-step explanation:

249) r divided by 8 is equal to 20. 250) the difference of w and 21 is equal to 38. 251) the quotient of n and 8 is equal to 30. 252) n minus 7 is 28.

Answer:

Value _____ Frequency ______ R/frequency %

0 ___________ 5 ____________20

1 ____________8 ____________32

2 ___________6 ____________24

3 ___________ 4 ____________ 16

4 ___________2 ____________ 8

Step-by-step explanation:

Given the data:

1,0,2,1,0,1,1,2,3,0,2,1,1,2,0,4,2,3,4,1,3,2,3,0,1

Value _____ Frequency ______ R/frequency %

0 ___________ 5 ____________20

1 ____________8 ____________32

2 ___________6 ____________24

3 ___________ 4 ____________ 16

4 ___________2 ____________ 8

Answer:

Yes

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

The probability that a randomly selected student who has a cat will also have a dog can be calculated by dividing the number of students who have both a cat and a dog by the total number of students who have a cat.

According to the table, there are 13 students who have a cat, and out of those 13 students, 5 also have a dog. Therefore, the probability that a randomly selected student who has a cat will also have a dog is:

P(cat and dog) / P(cat) = 5/13

This means that there is a 38.5% chance that a randomly selected student who has a cat will also have a dog.

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There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

What is linear function?

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Answer:

Leslie has 13 quarters and 23 half-dollars.

Step-by-step explanation:

You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:

x+y=36 (1)

0.25x+0.50y=14.75 (2), where:

x=amount of quarters

y=amount of half-dollars

First, you can isolate x in (1):

x=36-y (3)

Then, you can replace (3) in (2):

0.25(36-y)+0.50y=14.75

9-0.25y+0.50y=14.75

0.25y=5.75

y=5.75/0.25

y=23

Finally, you can replace the value of y in (3) to find the value of x:

x=36-23

x=13

According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.

[(4096)⁰]⁻⁴ = (4096)⁰ = 1

OPTION D

The mean response of the randomly selected 30 students is x, which is also the mean response of the entire class.

To find the mean response for the randomly selected students, we need to use the formula:

mean = (sum of all responses) / (number of students)

Since we are given that the # of students is 30, not 463, we need to adjust our calculation accordingly.

Let's say the sum of all the responses for the 30 students is S. Then the formula becomes:

mean = S / 30

We don't know the exact value of S, but we can use the information given to make an estimate. The mean response of the 30+463 students is x, so we can write:

(x) = (S + 463y) / (30+463)

where y is the mean response of the remaining 463 students. We want to solve for x, so we need to isolate it on one side of the equation:

(x) = (S + 463y) / (30+463)

x(30+463) = S + 463y

30x + 463x = S + 463y

493x = S + 463y

x = (S + 463y) / 493

Now we need to use the fact that y is not given, but we can make an assumption based on the information given. The mean response of the entire class is likely to be somewhere between the mean response of the randomly selected 30 students and the mean response of the remaining 463 students. So we can assume that:

y is close to x

This allows us to simplify the equation:

x = (S + 463x) / 493

Multiplying both sides by 493 gives:

493x = S + 463x

30x = S

So we can see that the sum of the responses for the 30 students is 30 times the mean response, which is x. Therefore:

S = 30x

Plugging this back into the formula for the mean, we get:

mean = S / 30

mean = (30x) / 30

mean = x

So the mean response of the randomly selected 30 students is x, which is also the mean response of the entire class.

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The total area of the sum of area of rhombus,  area of parallelogram and  area of trapezoid.

Composite geometric figures are made from two or more geometric figures.

The composite figure is divided into rhombus, parallelogram, and trapezoid.

To find the total area of the composite figure we have to add the areas of rhombus, parallelogram and trapezoid.

Area = Area of rhombus + Area of parallelogram + Area of trapezoid

=bh + bh + 1/2(b₁+b₂)h

=h(2b +(b₁+b₂)/2)

Hence, the total area of the sum of area of rhombus,  area of parallelogram and  area of trapezoid.

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Answer and Step-by-step explanation:

-6 and -10 are the answers.

This is because these numbers are less than -5, so they would work when plugged in for h in the inequality.

#teamtrees #PAW (Plant And Water)

Answer:

-6 and -10

Step-by-step explanation:

-6 and -10 are both less than -5, hope this helps :)

Answer:

t = \(\frac{h^2+3}{2}\)

Step-by-step explanation:

Given

h = \(\sqrt{2t-3}\) ← square both sides

h² = 2t - 3 ( add 3 to both sides )

h² + 3 = 2t ( divide both sides by 2 )

\(\frac{h^2+3}{2}\) = t

5/12 is the probability that the same number will occur on precisely two of the n dice.

Put simply, probability refers to the probability of something to happen. We can discuss the likelihood of one outcome or the possibility of multiple outcomes because we don't know how something will turn out. The examination of events that fit into a probability distribution is known is statistics. The ratio of favorable events to all other outcomes in the sample space is the standard definition of probability. The probability of an event is calculated using the formula P(E) = (Number of favorable outcomes) (Sample space). As a result, there are 90 different possibilities for the same number to occur on exactly two dice (15 x 6). Hence, 90/216 = 15/36 = 5/12 is the likelihood.

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The probability that the same number appears on exactly two of three fair six-sided dice is 5/12.

To calculate the probability that the same number appears on exactly two of three fair six-sided dice, we can count the number of ways that this can occur and divide by the total number of possible outcomes.

Method 1: Counting principles

First, we can choose the number that appears on exactly two of the three dice. There are 6 ways to do this. Then, we can choose which two dice show this number. There are 3 ways to do this. Finally, the remaining die can show any of the other 5 numbers. There are 5 choices for this die. Therefore, the total number of outcomes where the same number appears on exactly two of the three dice is:

6 x 3 x 5 = 90

The total number of possible outcomes when rolling three dice is 6³ = 216, since there are 6 possible outcomes for each of the three dice. Therefore, the probability of rolling the same number on exactly two of the three dice is:

90 / 216 = 5/12

Method 2: Brute force enumeration

We can also list all possible outcomes and count the number of outcomes where the same number appears on exactly two of the three dice. There are 6 x 6 x 6 = 216 possible outcomes. Out of these, there are 90 outcomes where the same number appears on exactly two of the three dice. Therefore, the probability is again:

90 / 216 = 5/12

If we generalize this to n dice, we can use the same counting principles as above. First, we choose the number that appears on exactly two of the n dice. There are 6 ways to do this. Then, we choose which two dice show this number. There are n choose 2 ways to do this, which is equal to n(n-1)/2. Finally, the remaining n-2 dice can show any of the other 5 numbers. There are 5⁽ⁿ⁻²⁾ ways to do this. Therefore, the total number of outcomes where the same number appears on exactly two of the n dice is:

6 x n(n-1)/2 x 5⁽ⁿ⁻²⁾

The total number of possible outcomes when rolling n dice is 6ⁿ. Therefore, the probability of rolling the same number on exactly two of the n dice is:

6 x n(n-1)/2 x 5⁽ⁿ⁻²⁾ / 6ⁿ

This can be simplified to:

n(n-1)5⁽ⁿ⁻²⁾ / 2 x 6⁽ⁿ⁻²⁾

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Answer:

1b) in first image

1c) in second image

The bears have the percentage of higher win. Bears won 82% of games.

What is percentage?

We get a percent value when an observed value is divided by the total value and after that multiplied by 100.

Why is percentage used?

We use percentage value to compare different data set of variable amounts.

Bears has 140 games

lost =24 games

therefore, bears win =115 games

on the other hand,

Bulls won =32 games

lost =18

% Win of Bears team = (total games Wons by bears/total games by Bears) x100

                           = 82%

Hence, bears won 82% of game.

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The width for the second rectangle which is HIJK will be A. 24 inches.

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

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