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Olenka [21]
3 years ago
11

A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally d

istributed with mean 80 centimeters and standard deviation 5 centimeters. To help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught.
What proportion of fish are larger than 86 centimeters in length

a. 0.0228
b. 0.0548
c. 0.1151
d. 0.8849
Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer:

c. 0.1151

Step-by-step explanation:

d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = (x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 86cm

x = mean of 80cm

σ = standard deviation = 5cm

applying the formula,

z= (86-80)/5

z = 6/5 =1.2

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151

Thus the probability of a fish are larger than 86 centimeters in length is 0.1151

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6/7 as a fraction divided by a whole of 12
ValentinkaMS [17]

Answer:

<u>(1/14)</u>

Step-by-step explanation:

(6/7)/(12)              <u>6/7 as a fraction divided by a whole of 12</u>

(6/7)/(12/1)

(6/7)*(1/12)

(1/7)*(1/2)

(1/14)

4 0
2 years ago
Read 2 more answers
How much more is 4/6 Than 5/6
Sveta_85 [38]
5/6 is 1/6 more than 4/6. All you had to do is subtract 4/6 from 5/6 to get <u><em>1/6</em></u>.
6 0
3 years ago
Read 2 more answers
Find the side lengths ! help pls
sergeinik [125]

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

7 0
3 years ago
Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance
aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let x miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled x miles, the remaining distance is the distance between the lunch stop and the beach.

Let y miles be the remaining distance, so

y=125-x.

Give that the ratio of the distance he has traveled, x, to the distance he still has to travel, y, is 2:3,i.e

x:y=2:3

\Rightarrow \frac x y =\frac 2 3

\Rightarrow \frac {x}{125-x}=\frac 2 3

\Rightarrow 3\times x=2\times(125-x)

\Rightarrow 3\times x=2\times125-2\timesx

\Rightarrow 3 x=250-2x

\Rightarrow 3x-2x=250

\Rightarrow x=250

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

4 0
3 years ago
What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20
HACTEHA [7]
Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0
1 year ago
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