Write the fraction 4 and 3/8 as a decimal.

Mathematics

2 answers:

erica [24]2 years ago

8 0

Answer:

4.375

Step-by-step explanation:

Convert.

4 = 4.

3/8 = .375

4 + .375 = 4.375.

ankoles [38]2 years ago

8 0

Answer:

4.375

Step-by-step explanation:

$4\frac{3}{8}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\\\:a\frac{b}{c}=\frac{a\times\:c+b}{c}\\\\4\frac{3}{8}=\frac{4\times8+3}{8}=\frac{35}{8}\\$

$\begin{matrix}\space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\\ 8\overline{|\smallspace35}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace3\emptyspace2}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$

$= 4.375$

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Step-by-step explanation:

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Verify that the functions are probability mass functions, and determine the requested probabilities.

Free_Kalibri [48]

Answer:

a) 3/64 = 0.046 (4.6%)

b) 63/64 = 0.9843 (98.43%)

c) 1/64 = 0.015 (1.5%)

d) 1/4 = 0.25 (25%)

Step-by-step explanation:

in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then

∑f(x)*Δx = 1

if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...

then Δx=1 and

∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1

then f represents a probability mass function

a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)

b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)

c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)

d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)

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3 years ago

Algebra method 4x - 6 = 30