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2 years ago

6

A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to t

he exponential function f(x) = 100(4)x, the bacteria quadruple every hour. What is the value of f(0)? A) 0 B) 4 C) 100 D) 400

1 answer:

zzz [600]2 years ago

8 0

Answer:

Step-by-step explanation:

D)hope it helpef

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Someone explain and help pls

jasenka [17]

Your answer for the girls in the gymnastics club is correct.

Do the percentage of water the same way: Divide 139 by 197.
That'll give you the decimal amount that's covered by water.
To change the decimal to a percentage, move the decimal point
two places that way ==> .

7 0

2 years ago

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20. -5/2,-2, 1, 10/

stiks02 [169]

-5/2 is the answer. I just took the test and got it right.

8 0

2 years ago

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What number is 1/10 as great as 7962

Sliva [168]

A number 1/10 as great as 7962 would be 796.2

You get this answer by either dividing 7,962 with 10 which gives you 769.2

Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.

8 0

2 years ago

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Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un

Nataly_w [17]

Answer: 0.1289

Step-by-step explanation:

Given : The proportion of all students at a large university are absent on Mondays. : $p=0.15$

Sample size : $n=12$

Mean : $\mu=np=12\times0.15=1.8$

Standard deviation = $\sigma=\sqrt{np(1-p)}$

$\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369$

Let x be a binomial variable.

Using the standard normal distribution table ,

$P(x=4)=P(x\leq4)-P(x\leq3)$ (1)

Z score fro normal distribution:-

$z=\dfrac{x-\mu}{\sigma}$

For x=4

$z=\dfrac{4-1.8}{1.2369}\approx1.78$

For x=3

$z=\dfrac{3-1.8}{1.2369}\approx0.97$

Then , from (1)

$P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289$

Hence, the probability that four students are absent = $0.1289$

3 0

2 years ago

Orin solved an equation and justified his steps as shown in the table.

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Given the equation as

$\frac{3x}{5} -3=12$

apply multiplication property of equality where you multiply every term by 5

$\frac{3x}{5}*5 -3*5=12*5$

3x-15=60------------------apply addition property of equality

3x-15+15=60+15

3x=75--------------------------appy division property of equality by dividing both sides by 3

3x/3=75/3

x=25

6 0

2 years ago