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marta [7]
3 years ago
8

What is the formula to find the volume of the solid ?

Mathematics
1 answer:
MakcuM [25]3 years ago
5 0

Answer:

Step-by-step explanation:

Volume = 4πr³/3

Solid shape is a sphere. r ----> radius

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Which function has the greatest rate of change?
ad-work [718]
Hello,

Answer A

A: y'=7
B:y'=6
C:y'=5
D:y'=5

5 0
3 years ago
The pucks used by the National Hockey League for ice hockey must weigh between and ounces. Suppose the weights of pucks produced
Dahasolnce [82]

Answer:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.86,0.13)  

Where \mu=5.86 and \sigma=0.13

We are interested on this probability

P(5.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

4 0
3 years ago
4X + 5Y = 21<br> -4X + 8Y = -8<br> And<br> X + 5Y = 5<br> 3X - 5Y = 3
sergij07 [2.7K]

Answer:

for the first one

Step-by-step explanation:

(x,y)=(4,1)

6 0
3 years ago
Evaluate the expression when x=1/3 and y=-7/4<br><br>3x+y​
dolphi86 [110]
Answer) -3/4 or decimal form -0.75
4 0
3 years ago
Read 2 more answers
Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into th
Bas_tet [7]

Answer:

291111.1cm^3/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}_{out}=12000 cm^3/min

Height of tank,h=6 m

Diameter of top,d=4 m

Radius,r=\frac{d}{2}=\frac{4}{2}=2 m

\frac{dh}{dt}=20 cm/min

\frac{r}{h}=\frac{2}{6}=\frac{1}{3}

r=\frac{1}{3} h

We have to find rate at which water is being pumped into the tank.

Volume of conical ,V=\frac{1}{3}\pi r^2 h

V=\frac{1}{3}\pi(\frac{1}{3} h)^2h=\frac{1}{27}\pi h^3

\frac{dV}{dt}=\frac{1}{9}\pi h^2(\frac{dh}{dt})

h=2 m=200 cm

1m=100 cm

\frac{dV}{dt}_{in}-12000=\frac{1}{9}\pi(200)^2\times 20

\frac{dV}{dt}_{in}=12000+\frac{1}{9}\pi (40000)\times 20

\frac{dV}{dt}_{in}=291111.1cm^3/min

4 0
3 years ago
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