Assuming that a personal space is 3ft squared. Estimate how many people can fit into a circular arena a diameter of 100 yards?

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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9514 1404 393

Answer:

  38.5°

Step-by-step explanation:

You are given all three side lengths of the relevant triangle, so the Law of Cosines can be used to find any desired angle. If we call the desired angle C, then that law tells you ...

  C = arccos((a² +b² -c²)/(2ab))

where a and b are the triangle side lengths adjacent to the angle of interest, and c is the side opposite. Here, 'a' and 'b' are the pole and cable lengths, and 'c' is the distance of the stake from the pole.

  C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360)

  C ≈ 38.515°

The cable makes an angle of about 38.5° with the pole.

Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Step-by-step explanation:

First we will Rearrange after replacing 9 with 6

1 3 3 6 6 6 6 6 8 8

Mode = 6

Solution :

It is given that :

Total number of adults in the sample of Ohio, n = 1500

Increase in the sale tax = 5% to 6 %

Let \($\hat p$\) = proportion of the adults that supported the increase in the sales tax.

        = 40%

        = 0.40

Therefore the probability that \($\hat p$\)  will be more than 50% will be :

   \($P(\hat p > 0.50) = P\left( \frac{\hat p - E(\hat p)}{\sigma_{\hat p}} > \frac{0.50-0.40}{0.0123}\right)$\)

                    \($=P(z>7.936508)$\)

                    \($=1-P(Z<7.936508)$\)

                    = 1 - 1

                    = 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

South Atlantic region :

Mean price = $165

Standard deviation = $30

Mid-Atlantic region :

Mean price = $170

Standard deviation = $15

Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;

$165 < $170

However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Answer:

7:01

29%

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Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

Answer:

7ft

Step-by-step explanation:

2W+2L=20

2(W+L)=20

2(W+(W+4))=20

4W+8=20

4W=12

W=3

or

If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.

7 is the length.

Answer:

X=11º

Y=26º

Step-by-step explanation:

77=7x      11=x

180=77+77+y        26=y

Answer:

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).

Step-by-step explanation:

Intercepts of a real function

Given a function y=f(x), the x-intercepts of f are those values of x that make y=0. The y-intercepts are those values of y that make x=0.

Our function is:

3x - 2y = 18

To find the x-intercept(s), we set y=0:

3x - 2(0) = 18

3x = 18

Solving:

x = 18 / 3 =6

The x-intercept is the point (6,0)

Now for the y-intercept(s), we set x=0:

3(0) - 2y = 18

-2y = 18

Solving:

y = 18 / (-2) = -9

The y-intercept is the point (0,-9)

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).

The x-intercept is (6, 0); the y-intercept is (0, –9).

The definiton of a function is that "for every x-value/input there is exactly one y-value/output."

When working with graphs, you can judge if this is true by using the vertical line test:

If you can draw any vertical line that hits the graph more than once, then the graph is NOT the graph of a function.  

Which graph passes the vertical line test?

Answer:

23

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

51

Step-by-step explanation:

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:

E

Step-by-step explanation:

The percentage of the whole week that Adam spends in sleeping is 33%.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

According to the give question.

Adams sleeps for nine hours each night, five nights a week.

⇒ Number of hours he sleep for five nights = 5 × 9 = 45 hours

Also, 11 hours for two nights a week.

So, the total number of hours Adam sleeps in a week = 45 + 11 = 56 hours

And, total number of hours in a week = 24 × 7 = 168

Therefore,

The percentage of the whole week that Adam spends in sleeping

= (total number of hours Adam sleep in a week/Total numbers of hour in a week) × 100

\(=\frac{56}{168}\) × 100

= 33.33%

= 33%

Hence, the percentage of the whole week that Adam spends in sleeping is 33%.

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The one-way communication time between the Jupiter and Earth increases.

Radio waves are a type of electromagnetic radiation with the longest wavelengths in the electromagnetic spectrum, typically with frequencies of 300 Ghz and below.

Given is that Jupiter and Earth travel along their respective orbits.

As the Jupiter and Earth travel along their respective orbits, they start to get apart from each other. This leads to an increase in one-way communication time.

Therefore, the one-way communication time increases as the Jupiter and Earth travel along their respective orbits.

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Answer:

Answer3. 9.9cm^3

Step-by-step explanation:

First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:

VolWood =

VolPencil - VolLead

First, Volume of the pencil:

vol = pi•r^2•h

= 3.14•(.4)^2•21

= 10.5504 cm^3



Next, volume of lead:

vol = pi•r^2•h

= pi•(.1)^2•21

= .6594cm^3

Last, subtract:

VolWood =

VolPencil - VolLead

= 10.5504 - .6594

= 9.891

~= 9.9cm^3

The volume of the wood is 9.9cm^3.

Answer:

OOk

Step-by-step explanation:

Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer:

11

Step-by-step explanation:

f(3)=(3)^2+2(3)-4

f(3)=9+2(3)-4

f(3)=9+6-4

f(3)=15-4

f(3)=11

Answer:ANS: (3,4)

(x,y) (x,y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a i promise

Answer: D

Step-by-step explanation:

The equation for a linear function is y = mx + b

We first need to find the slope of the object, we can see here than it perfectly lands on the point, (0, -3) and (6,0). We can use this formula to determine the slope:

(y2 - y1)/(x2 - x1)

Now let's plug in the numbers.

(0 + 3) / (6 - 0)

3/6

1/2

Now we know the slope is 1/2 and the y-intercept is -3, so let's make it into a slope-intercept form.

y = 1/2x - 3

Answer:

Step-by-step explanation:

a3 = 11

a6 = 20

11 = a1 + (n - 1)*d

11 = a1 + (3 - 1)*d

11 = a1 + 2*d

20 = a1 + (n - 1)*d

20 = a1 + (6-1)*d

20 = a1 + 5*d

11 = a1 + 2d                   Subtract to get rid of the a1

9 = 3d                           Divide by 3

9/3 = d

d = 3

11 = a1 + 2*3

11 = a1 + 6                     Subtract 6

11-6 = a1

a1 = 5

tn = 5 + (n - 1)^3

tn = 5 + 3n - 3

tn = 5 - 3 + 3n

tn = 2 + 3n