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2 years ago

18. Find the length of the segment indicated. Round your answer to the

Mathematics

1 answer:

Usimov [2.4K]2 years ago

8 0

Answer:

b. 6.2

Step-by-step explanation:

x =√18.2²-17.1² =√331.24- 292.41

= √38.83 = 6.2

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Literal equation L=s1+s2 solve for s2

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Subtract s1 to both sides to get L+s1=s2

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3 years ago

Solve by factoring or finding square roots.

Sonja [21]

Answer:

$\large{\textbf{x = 0, 3}\\}$

Step-by-step explanation:

$\large{\textup{Given}:\\$5x^2 = 15x$\\$\implies 5x^2 - 15x = 0$\\\textup{Taking $x$ common outside, we get:}\\$x\{5x - 15 \} = 0$\\\textup{Then we have two possibilities for $x $}\\$i.e., x = 0$ \hspace{5mm} \textup{or} \hspace{5mm} $5x - 15 = 0 \implies x = 3$\\$$\therefore x = 0, 3 $$}$

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2 years ago

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Step-by-step explanation:

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2 years ago

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Ivahew [28]

Answer:

a) $P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

b) $P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

c) $P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

For this case we want this probability:

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

Part b

For this case we want this probability:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

Part c

For this case we want this probability:

$P(X \geq 1)$

And we can use the complenet rule and we got:

$P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

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2 years ago

What are the solutions of the equation 4x2 + 3x = 24 – x?

Nitella [24]

Answer:

-3 or 2

Step-by-step explanation:

just did it on edge 2022 :)

8 0

2 years ago