Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: $\mu=85,\ \ \sigma=9$

The probability that a given 1-ml will contain more than 100 bacteria will be:

$P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z$

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

3 0

3 years ago

Guessing the initial of a students middle name

umka2103 [35]

Answer:

1/26

Step-by-step explanation:

5 0

3 years ago

Which exponential function has the greatest average rate of change over the interval [0, 2]? A. B. x 0 1 2 3 g(x) 8 10 C. D. An

Anna007 [38]

Answer:

Step-by-step explanation: i need help

7 0

3 years ago

Please help me with this!!!!!

vekshin1

Answer:

y = 4

Step-by-step explanation:

Note that A and B have the same x-coordinate: 1. This means that AB is a vertical line through x = 1. The perpendicular bisector of AB must be a horizontal line situated halfway between y = 3 and y = 5. Thus, it's just y = 4.

Review: y = 4 bisects AB and represents a horizontal line.

6 0

2 years ago