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evablogger [386]
2 years ago
5

A scientest is studying a new super bacteria that is threatening to cause an outbreak. On the first day, there were 5 organisms

present but on day two the scientest found that each of those organisms had split into 5 more. On the third day, it was discovered that each of the organisms from day two had split into 5 additional organisms. What is the population of bacteria on day 3? A.15 B. 50 C. 125 D. 105
Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Answer:

C. 125

Step-by-step explanation:

Given:

Bacteria on day 1 = 5

On day 2, each bacteria got split into 5.

So, number of bacteria on day 2 = 5\times 5 = 25

Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.

So, number of of bacteria on day 3 = 25\times 5 =125

Therefore, the population of bacteria on day 3 is 125.

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Aleks [24]
0.55 HOPE THIS HELPS!
3 0
3 years ago
Read 2 more answers
While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
3 years ago
Miguel needs 1/2 gallons of milk to make 12 milkshakes. How much does he need to make 42 milkshakes?
ale4655 [162]

Answer:

he needs 17/8 gallons of milk to make 30 milkshakes and this is proportional relationship

Step-by-step explanation:

3/4 divided by 12 = 1/16

gallon to make 1 milkshake and

1/16 x 30 = 17/8 gals. to make 30 milkshakes,

it's proportional because 3:4 > 15:8

6 0
2 years ago
What percent of 200 is 0.5?
OleMash [197]
<span>Question: What percent of 200 is 0.5?
Solutions and discussions:
=> 200 is the 100% value of the numbers
=> 0.5 is the number in which we need to find the percentage value of it in 200.
How to solve. Simply follow the formula
=> 0.5 / 200 = 0.0025 – this is the to get the decimal value of the number that we will be converting to percentage.
=> 0.0025 * 100% = 0.25%
Therefore 0.5 is 0.25% of 200.

</span>



3 0
3 years ago
Read 2 more answers
Dec 18, 11:45:23 AM
cestrela7 [59]

Answer: 68*

Step-by-step explanation: In pic

7 0
2 years ago
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