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zysi
1 month ago
15

A cone has a base radius of length r, and an perpendicular height length h. If the height remains the same, and the radius is mu

ltiplied by 3, then the volume is multiplied by: A. 2 B. 43 C. 9 D. 27
Mathematics
1 answer:
Svet_ta [12.7K]1 month ago
7 0

The volume of a cone can be calculated using the following formula:

V= (1/3) x \pi x r^{2} x height

Since this is a quadratic relationship, increasing the radius to three times its size results in the volume increasing by the square of that factor, which is 9.


Hope this proves useful!

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
PIT_PIT [12445]

The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is \overline A=\textrm{Missing a target at least once}

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the combined probability of an event and its complement equals 1.

<pThus, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

6 0
3 months ago
Read 2 more answers
Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.
lawyer [12517]

Answer:

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

To solve this equation, we can select various values for x and then compute the corresponding y values.

<pFor instance, when x = 1, we find:

4*1 - 3y = 1

3y = 3

y = 1

When x = 2, we discover:

4*2 - 3y = 1

3y = 7

y = 2.333

Then for x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

Therefore, the coordinates we will plot are (1, 1), (2, 2.333), and (3, 3.666).

Refer to the attached image for the plot.

4 0
3 months ago
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