In order to find the value of any logarithmic function, you can raise the base (10 by default, unless stated otherwise) to the answer (.94) to get the number (x).

So, 0.94 = log x is basically saying 10^.94 = x. And when you raise 10 to the .94 power, you get 8.71.

7 0

2 years ago

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

Leviafan [203]

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

$X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}$

$= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}$

$= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}$

$= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}$

$= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}$

= 0.0087999

≅ 0.0088

5 0

1 year ago

Which function represents the given graph?

andrezito [222]

Answer:

The first equation, f(x)=100(3/5)^(x), represent the graph

5 0

2 years ago

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