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3 years ago

The growth of a bacteria each hour is given by the function

Mathematics

2 answers:

IgorC [24]3 years ago

8 0

I believe the answer is 286 since the equation is 250(1.07) t

this tells me that 250= original size and 1.07= growth of the bacteria and t for time or hour in this case

250x(1.07) 2

267.5x(1.07)

286.225 = 286

marysya [2.9K]3 years ago

5 0

500 I guess it’s not right

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

3 years ago

Help please?!?!?!?!?!?!

svp [43]

slope is change in y over change in x

use 2 points from the table so -3,-21 and -6,-39

change in Y: -39 - -21 = -18

change in x = -6 - -3 = -3

slope = -18/-3 = 6

slope = 6

8 0

3 years ago

How do I solve this?

charle [14.2K]

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

6 0

2 years ago

X/2 = 4/16 solve for x Also: if possible/ any please show work!

lana66690 [7]

X/2 = 4/16

This is where you would use cross-multiplication.
Multiply the x with 16 and the 2 with 4.

16x = 8

Now divide everything by 16.
x = 0.5

6 0

3 years ago

How to write 325809 in expanded form

BartSMP [9]

Three hundred twenty five thousand eight hundred nine

7 0

3 years ago

Read 2 more answers