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KIM [24]
2 years ago
14

Jess is trying to save $100. She saves money each week. The first week she saves

Mathematics
2 answers:
sweet [91]2 years ago
6 0

First of all add the money she saved in total and then subtract that from 100 to find the money remaining to save...

\sf\to \: total \: money = 20.75 + 22.50 + 26.65 \\ \sf \to \: total \: money = 69.9

<h3>Now, Subtract the sum from 100</h3>

\tt \dashrightarrow \: 100 - 69.9

\tt \dashrightarrow \: 30.1

<em>Thus, She need to save $30.1 more to complete her goal of 100...~</em>

Minchanka [31]2 years ago
5 0

Answer:

she needs to save more $30.1

Step-by-step explanation:

more does she need to save = $100 - $20.75 - $22.50 - $26.65 = $30.1

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Step-by-step explanation:

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Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one
oksano4ka [1.4K]

Answer:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

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P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

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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=7, p=1-0.09=0.91)

The probability associated to a failure would be p =1-0.09 = 0.91

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!}

And we want to find this probability:

P(x \geq 6)=P(X=6)+P(X=7)

And we can find the individual probabilities:

P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358

P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517

And replacing we got:

P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875

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