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4 years ago

Please help me thank you so much. Just not sure of my answers

Mathematics

1 answer:

Sedaia [141]4 years ago

7 0

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

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88+88+88+88+88+88+88+88 times 88=_________

Nastasia [14]

Answer:

It's your friend at school. 8360 is your answer.

Step-by-step explanation:

88 + 88

= 176 + 88

= 264 + 88

= 352 + 88

= 440 + 88

= 528 + 88

= 616 + 88 =

704 x 88

= 8360

3 0

4 years ago

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g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (

Kruka [31]

Answer:

$P(x=4) = 0.200$

Step-by-step explanation:

Given

$n=10$ --- selected customers

$x = 4$ --- those that are expected to use the restroom

$p =30\% = 0.30$ --- proportion that uses the restroom

Required

$P(x = 4)$

The question illustrates binomial probability and the formula is:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}$

$P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6$

$P(x=4) = 210* (0.30)^4 * (0.70)^6$

$P(x=4) = 0.200$

4 0

3 years ago

The two solids are similar and the ratio between the lengths of their edges is 2:7 what is the ratio of their surface areas?

vovangra [49]

Answer:

The ratio of their surface areas is $\frac{4}{49}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem the scale factor is equal to the ratio $\frac{2}{7}$

and

Remember that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

therefore

In this problem the ratio of their surface areas is $(\frac{2}{7})^{2}=\frac{4}{49}$

8 0

3 years ago

heights of statistics students were obtained by a teacher as part of an experiment conducted for the class. The last digit of th

hammer [34]

Answer:

1) B. The height appear to be reported because there are disproportionately more 0s and 5s.

2) A. They are likely not very accurate because they appear to be reported.

Step-by-step explanation:

The distribution table is shown below:

Last Digit Frequency

0 9

1 1

2 1

3 3

4 1

5 11

6 1

7 0

8 3

9 1

1. Based on the distribution table, we see a very disproportionate distribution. There is a high frequency of 0's and 5's. This lays credence to the heights being reported rather than measured. As such, option B is the correct answer

<u>B. The height appear to be reported because there are disproportionately more 0s and 5s</u>.

2. Since the heights were reported and not measured, they are most certainly not accurate. The conclusion is that the result is not accurate. As such, option A is the correct answer

<u>A. They are likely not very accurate because they appear to be reported</u>.

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4 years ago

A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What

geniusboy [140]

Answer:

4/11

Step-by-step explanation:

There are 11 marbles in total, if 4 of them are white, then you have a 4/11 chance of getting a white marble.

6 0

3 years ago

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