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3 years ago

A website's views were increasing exponentially at a rate of 14% per year.

Mathematics

2 answers:

g100num [7]3 years ago

7 0

Answer:

1.1%

Step-by-step explanation:

Annual rate: 14 % = $\frac{14}{100} = 0.14$

Monthly rate = $(1 + r )^{\frac{1}{12} } - 1$

= $(1 + 0.14 )^{\frac{1}{12} } - 1$

= $(1.14 )^{\frac{1}{12} } - 1$

= 1.01097 - 1

= 0.01097

In percent it becomes: 0.01097 * 100 = 1.097%

Rounded to the nearest tenth: 1.1%

frez [133]3 years ago

6 0

Answer:

see below PLEASE GIVE BRAINLIEST

Step-by-step explanation:

14% ÷ 12 (MONTHS IN THE YEAR) = 1.16666667

If rounding to the nearest 10th of a percent the answer is 1.2% increase per month.

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A tennis ball machine can launch 60 tennis balls in 12 minutes. At this rate,how many tennis balls can it launch in 2 hours?

Lapatulllka [165]

12*5=60
12*10=120
60*10=600
The answer is 600

7 0

3 years ago

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

Complete the generic rectangle (PLEASE HELP)

navik [9.2K]

I believe the area of the blank rectangle, the biggest one, is 2800. The whole rectangle all together is 3225.

Explanation:

Since the length of one of the rectangles is 70, the rectangle with an area of 210 will have a side length of 3. This means the rectangle with an area of 15 has a side length of 5. <em>That</em> means the rectangle with an area of 200 has a side length of 40. Therefore, the blank rectangle has an area of 2800, as it's 2 side lengths are 70 and 40.

4 0

3 years ago

What is 30% of a book with 210 pages

Masteriza [31]

Answer:

63 pages

Step-by-step explanation:

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Take 210 (pages) and multiply that by 30% or 0.3 that will give you 63. This means that 30% of the book is 63 pages

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3 years ago

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zimovet [89]

Answer:

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Step-by-step explanation:

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3 years ago