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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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Between which two whole numbers does square root of 150 lie
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5 and 6

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3 years ago
–4.36 − 1.6g + 7.4 = 0.3g + 6.46
Art [367]

Answer:

g = 10.82

_______ or 5.694736842105263

-1.9

Step-by-step explanation:

- 1.6g - 0.3g = 6.46 + 4.36

-1.9g = 10.82

g = 10.82

_____

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5 0
3 years ago
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

8 0
3 years ago
What is m&lt;KNL? <br>Enter your answer in the box<br>​
steposvetlana [31]

The measurement of ∠KNL   is 102°

First, you must set up an equation to find x.

5x+2=[3(x+14)

Then, you must simplify both sides of the equation.

5x+2=3x+42

Next, subtract 3x on both sides.

2x+2=42

Then, subtract 2 on each side.

2x=40

Next, divide 2 on each side.

x=20

Now that we have the value of x, we can substitute it in for angle KNL.

[3(20+14)]

[3(34)]

102

102°

3 0
3 years ago
The old price of a 24" television is $499.00. It has been marked up 12%. What is the new price?
BartSMP [9]

Answer:

$558.88

Step-by-step explanation:

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