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Sliva [168]
2 years ago
11

The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A

ssuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is ________.
Mathematics
1 answer:
madam [21]2 years ago
4 0

Answer: The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is 0.596

Step-by-step explanation:

Since the weights of catfish are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of catfish.

µ = mean weight

σ = standard deviation

From the information given,

µ = 3.2 pounds

σ = 0.8 pound

The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is is expressed as

P(x ≤ 3 ≤ 5.4)

For x = 3

z = (3 - 3.2)/0.8 = - 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.401

For x = 5.4

z = (5.4 - 3.2)/0.8 = 2.75

Looking at the normal distribution table, the probability corresponding to the z score is 0.997

Therefore,.

P(x ≤ 3 ≤ 5.4) = 0.997 - 0.401 = 0.596

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(50 POINTS)!
Yuliya22 [10]

Answer:

The answer to your question is below

Step-by-step explanation:

When a denominator has a positive exponent we change it into an expression with a negative exponent and vice-versa, when a numerator has a positive exponent, we change it into a denominator with a negative exponent.

a)   \frac{1}{p^{4}} = p⁻⁴

b) \frac{1}{25} = 25⁻¹      

4 0
3 years ago
A horse is 17 hands tall at the hand equals 4 inches how tall is the horse in inches
Lilit [14]
<h3><u>68 inches</u></h3>

Because we know how large each hand is, we can multiply the number of hands by the amount of inches each one represents to find the total number of inches.

17 * 4 = 68


8 0
2 years ago
Read 2 more answers
I=prt for t I=105 p=700 and r=0.05
Pachacha [2.7K]
t = 3   

Simple interest will be derived by multiplying the principal, the interest rate, and the term.

Interest = Principal x Rate x Term

Interest = 105
Principal = 700
Rate = 0.05
Term = ?

Based on the Simple Interest formula, 

term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3

7 0
3 years ago
A full waterbed mattress is 8ft by 2ft by 2ft. The mattress is to be filled with water that weighs 62.4 lb/ft^3. Find the weight
Alex_Xolod [135]

Answer:

1997 lbs

Step-by-step explanation:

First we need to find the volume of the mattress

V = l*w*h

V = 8*2*2

V =32 ft^3

Then multiply by the density

32 ft^3 * 62.4 lb / ft^3 =

1996.8 lbs

To the nearest lb

1997 lbs

7 0
3 years ago
Please show work for full credit!<br><br> 10^6/ 10^2= 10^3<br><br> Why is that false?
noname [10]
10^6/10² = 10³

10^(6 - 2) = 10³

10^4 = 10³

10000 = 1000  

this is false because both sides are not equal to each other which is not a solution.

hope this helps, God bless!
7 0
3 years ago
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