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Tanzania [10]
3 years ago
15

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and

the height is 6 inches, approximately what is the volume of vanilla ice cream in the cone? (round to nearest tenth)
Mathematics
1 answer:
kupik [55]3 years ago
4 0

since the diameter of the cone is 2 inches, then its radius is half that, namely 1 inch, thus

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1\\ h=6 \end{cases}\implies V=\cfrac{\pi (1)^2(6)}{3}\implies V=2\pi \\\\[-0.35em] ~\dotfill\\\\ \cfrac{vanilla}{chocolate}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{2\pi }{2+1}}{1\cdot \frac{2\pi }{2+1}}\implies \cfrac{~~\frac{4\pi }{3}~~}{\frac{2\pi }{3}} \\\\[-0.35em] ~\dotfill\\\\ vanilla\implies \cfrac{4\pi }{3}\qquad \approx\qquad 4.19~in^3

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Answer:

The correct option is (b).

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The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

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Compute the <em>z</em>-score for the student being active 48 minutes as follows:

Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0

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The correct option is (b).

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3 years ago
Write down the value of 2 with the power of 3
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With a short time remaining in the​ day, a delivery driver has time to make deliveries at 4 locations among the 7 locations rema
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Answer:

35 different routes

Step-by-step explanation:

The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.

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The number of combinations of n objects taken r at a time is: ⁿCᵣ

So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by

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Hope this Helps!!!

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4 years ago
Find the output, kkk, when the input, ttt, is -7−7minus, 7.<br> k = 10t-19k=10t−19
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The output k at input t = -7 is -89

Step-by-step explanation:

In order to find the value of a expression on given number, we put the number in given expression in place of independent variable

So,

Given expression is:

k = 10t-19

It is given that the value of t has to be -7

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k = 10(-7)-19\\k = -70-19\\k = -89

Hence,

The output k at input t = -7 is -89

Keywords: Expressions, input, output

Learn more about expressions at:

  • brainly.com/question/9723881
  • brainly.com/question/9720317

#LearnwithBrainly

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