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Georgia [21]
3 years ago
8

The Seven Sisters cliffs in England are retreating at a rate of about 0.35 meter

Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer: they retreat 1.75 meters over 5 years

Step-by-step explanation:

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The maximum height reached by the barnacle is _______ m.
Oksanka [162]

Answer:

1

Step-by-step explanation:

5 0
2 years ago
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An analysis of sales records for the last 120 weeks gives the following results. Assuming that these past data are a reliable gu
Mila [183]

Answer:

(a) 0.5333

(b) 0.6583

(c) 0.5583

(d) 0.7083

(e) 0.6167

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = a competitor will advertise

<em>NA </em>= a competitor will not advertise

<em>L </em>= Low sales will be achieved

<em>M </em>= Medium sales will be achieved

<em>H </em>= High sales will be achieved

The data provided is of the form:

          Low (L)    Medium (M)    High (H)    Total    

A            32                   14                 18               64

NA          21                   12                 23              56

Total      53                  26                 41              120

The probability of an event <em>E</em> is:

P(E)=\frac{n(E)}{N}

n (E) = favorable outcomes of event <em>E</em>

N = Total number of outcomes

(a)

Compute the probability that next week the competitor will advertise as follows:

P(A)=\frac{n(A)}{N}=\frac{64}{120}=0.5333

Thus, the probability that next week the competitor will advertise is 0.5333.

(b)

Compute the probability that next week sales will not be high as follows:

P(H^{c})=1-P(H)=1-\frac{n(H)}{N}=1-\frac{41}{120}=\frac{120-41}{120}=0.6583

Thus, the probability that next week sales will not be high is 0.6583.

(c)

The events of achieving a medium or high sales are mutually exclusive.

Since the sales achieved will either be medium or high. They cannot be both.

So, P (M ∩ H) = 0.

Compute the probability that next week there will be medium or high sales will be achieved as follows:

P(M\cup H)=P(M)+P(H)=\frac{26}{120}+\frac{41}{120}=\frac{26+41}{120}=0.5583

Thus, the probability that next week there will be medium or high sales will be achieved is 0.5583.

(d)

Compute the probability that next week either the competitor will advertise, or only low sales will be achieved as follows:

P(A\cup L)=P(A)+P(L)-P(A\cap L)=\frac{64}{120}+\frac{53}{120}-\frac{32}{120}=\frac{85}{120}=0.7083

Thus, the  the probability that next week either the competitor will advertise, or only low sales will be achieved is 0.7083.

(e)

Compute the probability that next week either the competitor will not advertise, or high sales will be achieved as follows:

P(NA\cup H)=P(NA)+P(H)-P(NA\cap H)=\frac{56}{120}+\frac{41}{120}-\frac{23}{120}=\frac{74}{120}=0.6167

Thus, the  the probability that next week either the competitor will not advertise, or high sales will be achieved is 0.6167.

8 0
3 years ago
Consider the recursive function,<br> f(1) = 2<br> f(n) = 5•f(n − 1), for n &gt; 2
pogonyaev

Answer:

yes?

Step-by-step explanation:

??? can u say exactly what the question is please? thank you

7 0
3 years ago
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Need help to prove someone wrong​
mafiozo [28]

Answer:

the picture is not showing anything.

Step-by-step explanation:

8 0
2 years ago
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The length of a rectangle is 6 meters less than twice its width. If the area of the rectangle is 308 m2, what are its dimensions
leonid [27]

Answer:

<h2>length = 22cm</h2><h2>width = 14cm</h2>

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 308 m²

The length of a rectangle is 6 meters less than twice its width is written as

l = 2w - 6

Substitute this into the above formula and solve for the width

We have

308 = (2w - 6)w

2w² - 6w = 308

2w² - 6w - 308 = 0

Divide both sides by 2

We have

w² - 3w - 154 = 0

( w + 11)( w - 14) = 0

w + 11 = 0 w - 14 = 0

w = - 11 w = 14

Since the width cannot be negative

w = 14

Substitute w = 14 into l = 2w - 6

That's

l = 14(2) - 6

l = 28 - 6

l = 22

Therefore

length = 22cm

width = 14cm

Hope this helps you

7 0
3 years ago
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