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Illusion [34]
3 years ago
6

Can someone please help me to figure out the volume of this pastry bag :/

Mathematics
1 answer:
malfutka [58]3 years ago
4 0
First off,we need to understnad the formula of a cone:
\frac{1}{3} \pi \times {radius}^{2} \times height
In this case,the radius:
=5.8÷2
=2.9in

The volume of the cone:
\frac{1}{3} \pi \times {2.9}^{2} \times 16 \\ = \frac{1}{3} \pi \times 134.56 \\ = \frac{3346}{75} \pi \\ = 140.9109...

Therefore,the answer is 3365/75兀 or 140.91.

Hope it helps!
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write a function to model the volume of a rectangular prism if the length is 10cm and the sum of the width and height is 18cm.
Musya8 [376]
Let the length be l, width w and height h, then
Volume = length x width x height
l = 10cm, w + h = 18cm

V(h) = 10(18 - h)h = 180h - h^2
V(h) = 180h - h^2
8 0
3 years ago
According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,
Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). </em>

<em> Suppose we randomly select 100 tweets. </em>

<em>a) What is the expected number of these tweets with no reaction? </em>

<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

E(X)=n\cdot p=100\cdot 0.71=71

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59

Then, the standard deviation becomes:

\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538

5 0
3 years ago
Solve 2 + 2x = 3 + 2x using Inverse operations. How does the algebralc result show you that there is no solution?​
BabaBlast [244]

Answer:

0=1

Step-by-step explanation:

Solve 2 + 2x = 3 + 2x using Inverse operations. How does the algebralc result show you that there is no solution

8 0
2 years ago
How to solve a rental car costs 34.95 for the first 150 miles and .35 for each additional mile. How much will the rental car cos
Pani-rosa [81]
You can set up an equation, where 'x' is equal to the number of additional miles after 150 miles.

\sf 0.35x+34.95

To figure out how much the rental car will cost after 275 miles, first find out how many additional miles there are after 150 miles. 275 - 150 = 125. Now plug this in for 'x' in our equation:

\sf 0.35(125)+34.95

\sf 43.75+34.95

\sf\boxed{\sf\$78.70}
7 0
3 years ago
27 decreased by the difference of a number and 3. pease help me!!
VikaD [51]
27-3=24 think of it like this. and try to put signs over the sentence to help understand better
8 0
3 years ago
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