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Sliva [168]
1 year 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]1 year 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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grandymaker [24]

Answer:

Step-by-step explanation:

Part A:  The point labeled R is called the outlier and the group of points labeled are called the nonlinear positive association.  

Part B:  When the students practiced for more hours can play more pieces.  

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3 0
2 years ago
If ABCD is a parallelogram, which of the following statements must be true?
hoa [83]

Answer: d. AB = CD and BC = AD


Step-by-step explanation:

We know that parallelogram is a quadrilateral with properties listed below:-

  1. The opposite sides are congruent ( AB = CD and BC = AD ).
  2. The opposite angels are congruent (∠A=∠C and ∠D=∠B).
  3. The consecutive angles are supplementary (∠A + ∠D = 180°).
  4. The diagonals of a parallelogram bisect each other.
  5. If one angle is right, then all angles are right.

8 0
2 years ago
Read 2 more answers
How much heat is produced when 100 mL of 0.250 M HCl (density, 1.00 g/mL) and 200 mL of 0.150 M NaOH (density, 1.00 g/mL) are mi
alexira [117]

Answer:

1.45 kilo joules of heat is produced when 100 mL of 0.250 M HCl and 200 mL of 0.150 M NaOH.

1.15°C is the temperature increase.

Step-by-step explanation:

HCl+NaOH\rightarrow NaCl+H_2O ,ΔH°=-58 kJ/mol

Molarity=\frac{Moles}{Volume (L)}

Molarity of HCl = 0.250 M

Volume of HCl = 100 ml = 0.1 L

Moles of HCl = n

n=0.250\times 0.1 L=0.0250 mol

Molarity of NaOH= 0.150 M

Volume of NaOH= 200 ml = 0.2 L

Moles of NaOH= n'

n'=0.150\times 0.2 L=0.030 mol

According to reaction, 1 mol of HCl reacts with 1 mol of NaOH. Then 0.0250 mole of HCl will reacts with 0.0250 mol of NaOH.

\frac{1}{1}\times 0.0250 mol=0.0250 mol of NaOH

As we can see that moles of NaOH are in excess.Hence, excessive agent.

The enthalpy of the reaction = ΔH°=-58 kJ/mol

Energy released when 0.0250 moles of HCl reacted with 0.0250 moles of NaOH:

Q=\Delta H^o\times 0.0250 mol=-58 kJ/mol\times 0.0250 mol=-1.45 kJ

(Negative sign indicates that heat is liberated.)

Mass of the HCL solution = m

Volume of HCl ,v= 100 ml

Density of HCl solution = d = 1.00 g/mL

m=d\times v=1.00 g/mL\times 100 mL=100 g

Mass of NaOH solution = m'

Volume of NaOH ,v' = 200 ml

Density of NaOH solution = d' = 1.00 g/mL

m'=d'\times v'=1.00 g/mL\times 200 mL=200 g

Mass of the solution after mixing,M = m + m' = 100  g + 200 g = 300 g

Heat absorbed by the final solution formed after mixing = Q'

Heat absorbed by the final solution formed after mixing = Heat released during reaction

Q' = -Q = -(-1.45 kJ)= 1.45 kJ=1450 J  (1kJ = 1000 J)

Q' = mcΔT

generally, m = mass of the substance

c  = specific heat of the substance

ΔT = Change in temperature

Specific heat capacity of the product formed after mixing = c = 4.19 J/g°C

Mass of the resulting  mix = 300 g

ΔT = ?

1450 J=300g\times 4.19 J/g^oC\times \Delta T

\Delta T=\frac{1450 J}{300g\times 4.19 J/g^oC}

\Delta T=1.15^oC

1.15°C is the temperature increase.

8 0
1 year ago
In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?
gulaghasi [49]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
Three-fourths of the difference of a number and 7 is negative fifteen. The number is _______​
Vsevolod [243]

Answer:

x = -13

Step-by-step explanation:

Let the number be x. ATQ,

\dfrac{3}{4}(x-7)=-15

The above equation shows Three-fourths of the difference of a number and 7 is negative fifteen. We need to find the number.

cross multiplying both sides,

3(x-7)=-60\\\\x-7=-20\\\\x=-20+7\\\\x=-13

So, the number is -13.

4 0
2 years ago
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