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marysya [2.9K]
3 years ago
15

What is the height of a square pyramid if the volume is 38cm and the lenght and width is 6cm​

Mathematics
1 answer:
abruzzese [7]3 years ago
8 0
The formula to find the volume of a pyramid is: V=lwh/3 therefore:
V = lwh/3
38 = 6(6)(h)/3
114 = 36(h)
h = 3.17 (2 dec. places)
The height of the square pyramid is 3.17cm.
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Step-by-step explanation:

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3 years ago
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
Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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This means that p = 0.95

10 targets

This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

In which

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P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

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7 0
3 years ago
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zaharov [31]

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see explanation

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6 0
3 years ago
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Can you help me figure this out?
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