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hoa [83]
4 years ago
9

Shoe sizes and foot length are related by the formula S = 3F - 24, where S represents the shoe size and F represents the length

of the foot, in inches. Solve the formula for F.
Mathematics
1 answer:
eimsori [14]4 years ago
7 0

Answer:

\dfrac{S + 24}{3}

Step-by-step explanation:

\begin{array}{rcll}S & = & 3F - 24&\\S + 24 & = & 3F&\text{Added 24 to each side}\\F & = &\mathbf{\dfrac{S + 24}{3}}&\text{Divided each side by 3}\\\\\end{array}

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3 years ago
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

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           p = probability of success which in our question is % of people

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<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

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3 years ago
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(-1,4), (1,1), (3,-2)
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