The exponential function is **y = 650(1.0475)ˣ**

<h3>

**Exponential equation**</h3>

A Exponential equation is in the form:

**y = abˣ**

where **y, x are variables, b **is the **multiplier and a** is the** initial **value.

Let **y** represent the bacteria** population after x hours**.

**a = 650 bacteria**

**b = **100% + 4.75% = **1.0475**

The exponential function is **y = 650(1.0475)ˣ**

After 33 hours:

y = 650(1.0475)³³ = 3006

Find out more on **Exponential equation **at: brainly.com/question/2456547

**Answer:**

A ) Yes it is possible

B) The color of the most likely taxi to hit the victim is Green in color because

P( Tg / Yb ) = 0.75 = 75%

**Step-by-step explanation:**

A) Yes it is possible

attached below is a proposition that can be used to calculate the most likely color of the taxi

**where: Tg = taxi is green **

** Tb = Taxi is blue**

** Yg = green taxi is seen **

** Yb = blue taxi is seen**

<u>B) When 9 out of 10 Athenian taxis are green</u>

The color of the most likely taxi to hit the victim is Green in color because

P( Tg / Yb ) = 0.75 = 75%

**Answer:**

a. t*

b. (22.87, 24.53)

c. yes

**Step-by-step explanation:**

We have the following data:

mean = m = 23.7

standard deviation = sd = 2.15

x = 20

Thus:

a. The critical value would be t * since the value is m <30

b. whenever the mean is less than 30, the t distribution is used, for 95% confidence interval with degree of freedom = (x - 1) df

= 20 - 1

= 19

now, for this value we look in the table of t, we find that t * = 1.729

m + - t * (sd / x ^ 81/2))

replacing

23.7 + - 1.729 * (2.15 / 20 ^ (1/2))

23.7 + - 0.8312

then the inverval would be:

23.7 + 0.8312 = 24.5312

23.7 - 0.8312 = 22.8688

(22.87, 24.53)

c. yes, the interval is accurate since the mean of 23.7 is within this value

**Answer:**

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