The area of a triangle
is 15.75 centimeters squared. Find the value of x

the answer is 375

Step-by-step explanation:

(a)  0.2650

(b)  0.0111

(c)  0.0105

(d)  0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15.       &;

If the area of the agar plate is 75cm²;

what is the probability  of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

mean  μ = 15  

mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates =  15×5 = 75 CFUs

The probability is therefore = P( X > 95 )

= 1 - P(X ≤ 95)

= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)

= 0.0111

c) Repeat the probability calculation in part (b) but now use the normal approximation.

Let assume that the mean and the variance of the poisson distribution are equal

Then;

We are to repeated the probability calculation in part (b) from above;

So:

P( X > 95 )

use the normal approximation

From standard normal variable table:

P(Z > 2.3094)

Using normal table

P(Z > 2.3094) = 0.0105

(d)  Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

=  0.0111 - 0.0105

= 0.0006 to four decimal places

15

Step-by-step explanation:

Area is l x h. If that's the case then we need to do the oposite of multiplication to get the answer we need. Divide 375cm an 25cm to get your answer.

Original Equation:

A = l x h

New Equation:

A/l = h

1). 238.95 (2nd one)

2). 151.5 (2nd one)

3).  106.5

4). 26 (3rd one)

5). 20

Explanation:

Not 100% sure, some of these I got online, others I didn't.

1). 238.95 (2nd one)

2). 151.5 (2nd one)

3).  106.5

4). 26 (3rd one)

5). 20

Explanation:

Not 100% sure, some of these I got online, others I didn't.

i believe the answer is C.) 375

Step-by-step explanation:

i got it wright on my Quiz