The proportion of field mice weighing more than 33 grams in the distribution will be about 0.2275
- Mean, μ = 25 grams
- Standard deviation, σ = 4 grams
- Score, X = 33 grams
We need to calculate the P(Z > Zscore)
Recall :
Zscore = (X - μ) ÷ σ
For X > 33 :
Zscore = (33 - 25) ÷ 4 = 2
Therefore, the probability would be expressed as :
P(Z > 2) = 1 - P(Z < 2)
From the normal distribution table :
P(Z < 2) = 0.97725
Therefore,
P(Z > 2) = 1 - 0.97725 = 0.02275
Learn more :brainly.com/question/8165716
Answer:
No, order doesn't count as they can chosen in any, 14 ,378
Explanation:
Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds
