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77julia77 [94]
3 years ago
11

Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car

apace length is measured from the rear edge of the eye socket to the rear edge of the body shell.) Any lobster smaller than 3.25 inches must be returned to the sea. Suppose that lobster carapace lengths have a distribution that is mound shaped and approximately symmetric with a mean of 5.50 inches and a standard deviation of 2.25 inches. Approximately what proportion of lobsters will have to be returned to the sea
Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

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Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?​
yawa3891 [41]

answer

C = 263.76 m

Step-by-step explanation:

C = 2×pi×r

C = 2×3.14×21

C = 131.88 m

For 2 rounds,

C = 131.88 x 2

C = 263.76 m

7 0
3 years ago
Which statement about the quotient in the problem below is NOT true?
kipiarov [429]
The quotient is twice 405.5. Whenever dividing by .5 you multiply by 2 instead

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8 0
3 years ago
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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
A clock shows a time of 3:20.what type of angle is this
fredd [130]
Hour hand: \frac{35\pi}{18}

Minute hand: \frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}

\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}

Acute angle
Right angle =\frac{\pi}{2}
Obtuse angle >\frac{\pi}{2}
Straight angle =\pi

0

Acute angle.
3 0
4 years ago
The question is to find x​
slava [35]

Answer:

x =5

Step-by-step explanation:

Tangents from same external point have equal length.

KJ = LJ

4x - 1 = 2x + 9

Add 1 to both sides

4x = 2x + 9 + 1

4x  = 2x + 10

Subtract '2x' from both side

4x - 2x = 10

2x= 10

Divide both sides by 2

x = 10/2

x = 5

3 0
3 years ago
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