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Vladimir79 [104]
3 years ago
7

5. The area of a rectangle is 120 square feet. What is the area of a rectangle that has

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0
240 Bc 120 x 2 =240.
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How many ways can you arrange the letters in the word prime?
Jobisdone [24]
There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially. 
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
7 0
3 years ago
How do you solve this
FromTheMoon [43]

Answer:

Step-by-step explanation:

i got x=3.21007319

4 0
4 years ago
When Riley goes bowling, her scores are normally distributed with a mean of 160 and
e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

160 + 13 = 173.

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0
3 years ago
n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
givi [52]

Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
Write a function that represents the profit P for selling c cups of hot chocolate
Mars2501 [29]
Sorry don’t know this one
3 0
3 years ago
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