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ollegr [7]
2 years ago
6

a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 po

unds. if a random sample of 36 lobster fishermen is selected, what is the possibility that their average catch is less than 31.5 pounds? assume the distribution of weights of lobster is normal
Mathematics
1 answer:
icang [17]2 years ago
4 0

There is a probability of 22.66% that their average catch is less than 31.5 pounds

<h3>What is z score?</h3>

The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:

z = (raw score  - mean)/ (standard deviation ÷ √sample)

Given that, mean = 32, std = 4, sample = 36, hence:

For 31.5:

z = (31.5 - 32) / (4 ÷√36) = -0.75

P(z < -0.75) = 0.2266

There is a probability of 22.66% that their average catch is less than 31.5 pounds

Find out more on z score at: brainly.com/question/25638875

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A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T
alexgriva [62]
The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t)  10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.


7 0
3 years ago
Read 2 more answers
3/4(8x-4)=7x+2, I need to find out the answer
laiz [17]

Answer: x = -5

Step-by-step explanation:

First convert 3/4 to decimal= 0.75

0.75 (8x - 4) = 7x + 2

6x - 3 = 7x + 2

Transpose 7x from right hand side to the left hand side

6x - 7x = 2 + 3

-x = 5

x = -5

I hope this helps.

8 0
3 years ago
Distribute the problem <br> 2(3-8y)
77julia77 [94]

Answer:

<h3>6-16y</h3>

Step-by-step explanation:

Hello!

apply distributive law

a(b - c) = ab - ac

2(3-8y)=2.3-2.8y

  • 2.3=6
  • -2.8y= -16y

=6-16y

Hope it helps!

6 0
1 year ago
How many different numbers can you make out of 1,2,3 and they can't have two of the same numbers in 1 problem ( can't be decimal
Zigmanuir [339]
There are 3 different numbers
slot method

how many 3 digit numbers?
321
312
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213
231
 

6 numbes

how many 2 digit numbers?
12
21
13
31
23
32

6 numbers

how many 1 digit numbers
1
2
3

3 of them

6+6+3=15


15 different number, yah you ar right
6 0
3 years ago
Triangle PQR is formed by the three squares A, B, and C:
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The first choice if ()2 means to the power of two if not then it is none of them.
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