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dalvyx [7]
3 years ago
13

What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.)

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0

Answer:

the answer is 7 m

Step-by-step explanation:

im taking it rn

katen-ka-za [31]3 years ago
6 0
769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7

The answer is 7.
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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

5 0
2 years ago
A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib
baherus [9]
The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

D \ \textgreater \ 7,900

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

D=540r+34s

So, the inequality representing this situation would be

540r+34s\ \textgreater \ 7,900

And that would probably be fine for this problem.

<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
3 0
3 years ago
Find the value of X 90 58 122 32 <br> PLEASE ANSWER NOWW<br> 20pts
Viktor [21]

Answer:

58

Step-by-step explanation:

The two angles are equal

5 0
3 years ago
Read 2 more answers
suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from
Eva8 [605]
You can use trigonometry and the tangent to get:
tan(11°)=150/x
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3 0
3 years ago
Can someone find the expression for h in terms of x.
PilotLPTM [1.2K]
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x² 
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder 
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have 
9x²×pi×h=45×pi×x³
simplified h=5x
7 0
4 years ago
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