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3 years ago

How many equal line segments are needed to make a row of 35 squares?

Mathematics

1 answer:

kotykmax [81]3 years ago

5 0

Answer:

each pair of distinct vertices we connect them up with

a line segment. There are (8 2 )=28 such line segments.

Step-by-step explanation:

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CAN ANYONE HELP ME ANSWER THIS

Lera25 [3.4K]

Answer: My best answer would be independent

Step-by-step explanation: because you would be the one rolling the dice but you don't know what it would be landing on

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3 years ago

Which is 144 written as a power of a number

s2008m [1.1K]

12^2 What is it's square root or basically you could divide it so it's 12 to the power of 2 or 12^2

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3 years ago

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

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3 years ago

Find the common ratio of the sequence. 2, –10, 50, –250, –5 1/-5 –12 12

Sholpan [36]

-5
This is just to fill out the space of twenty characters

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3 years ago

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Without using the formula, work out the gradient of the graph shown.

Harman [31]

Answer:

1/3

Step-by-step explanation:

3 0

2 years ago