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3 years ago

A spherical fish bowl is half-filled with water. T

Mathematics

2 answers:

olganol [36]3 years ago

7 0

The volume of a sphere of radius r is given by

$V=\dfrac{4}{3}\pi\cdot r^3$

For your given conditions, the volume of 1/2 a sphere becomes

$V=\dfrac{1}{2}\cdot\dfrac{4}{3}\cdot\dfrac{22}{7}\cdot 8^3$

Seems to match your 2nd choice:

... 1 over 24 over 322 over 7(83)

alisha [4.7K]3 years ago

6 0

its B) 1 over 24 over 322 over 7(82)(16)

You might be interested in

What is the value of x? pls help im so confused

Makovka662 [10]

In the proportional theory,

28 units is the total measurement that includes 8 units.

So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.

This means,

28 = 10 + 3x - 5

Now solve for x,

28 = 10 + 3x - 5

28 - 10 = 3x - 5

18 + 5 = 3x

23 = 3x

23 / 3 = x

So x = 23/3 or 7.6666....

5 0

3 years ago

If TU = 8, UV = 3x, and TV = x + 10, what is TV?

IgorLugansk [536]

The value of TV is 11.

<h3>What is equation?</h3>

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

TU= 8, UV = 3x and TV = x+10

TV= TU + UV

x +10= 8+ 3x

-2x = -2

x= 1

Hence, TV = 1+10= 11.

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

6 0

2 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t

MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0

3 years ago

30 Points please help!! Please explain too!

sergiy2304 [10]

Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet

3 0

3 years ago

I need help! Will mark Brainliest for full answer!!!

Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

where x and y are the two variables and k is the constant of variation

Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

$y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2$

Part c:

We are given that x=7.8 and k=72

Substitute in the original relation and solve for y as follows:

$y=\frac{k}{x}=\frac{72}{7.8}=9.2$ to the nearest tenth

Hope this helps :)

6 0

3 years ago