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N76 [4]
3 years ago
10

Identify the initial amount a and the growth factor b in the exponential function. A(x)=30*8.3^x

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

Option B is correct.

Initial amount (a) = 30 and growth factor(b) = 8.3

Step-by-step explanation:

An exponential function is of the form: y =ab^x        ....[1]

where

a represents the initial amount

b represents the growth factor and x is the variable

Given the function: A(x) = 30 \cdot (8.3)^x

On comparing given equation with [1] we get;

a = 30 and b = 8.3

Therefore, the initial amount(a) = 30 and growth factor(b) = 8.3

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geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

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In this question;

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q = 1 - p

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Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

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P(6) = 0.146

Read more at; brainly.com/question/24239758

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