Answer: Yes , it is unusual for a boiler to weigh more than 1550 grams .
Step-by-step explanation:
Given : Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approximately normally distributed with mean
1358 grams and standard deviation
161 grams.
When the probability that broiler weigh more than 1550 grams < 0.5 , then is unusual otherwise not.
Let x denotes the weight of broiler, then the probability that broiler weigh more than 1550 grams :-
![P(x>1550)=1-P(x\leq1550)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{1550-1358}{161})\\\\\approx 1-P(z\leq1.19)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=\\\\=1-0.8830\ \ [\text{By using z-table}]\\\\=0.117](https://tex.z-dn.net/?f=P%28x%3E1550%29%3D1-P%28x%5Cleq1550%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B1550-1358%7D%7B161%7D%29%5C%5C%5C%5C%5Capprox%201-P%28z%5Cleq1.19%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D%5C%5C%5C%5C%3D1-0.8830%5C%20%5C%20%5B%5Ctext%7BBy%20using%20z-table%7D%5D%5C%5C%5C%5C%3D0.117)
Since 0.117<0.5
Therefore, it is unusual for a boiler to weigh more than 1550 grams .
Answer:
C. m∠1 = m∠4
Step-by-step explanation:
A. m∠2 + m∠4 = 180°
∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.
Hence, it's a <u>false</u> statement.
B. m∠2 + m∠3 = 180°
∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.
It's a <u>false</u> statement.
C. m∠1 = m∠4
∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.
Therefore, it's a <u>true</u> statement.
D. m∠1 = 90°
As clearly visible in the diagram;
It's a <u>false</u> statement.
Step-by-step explanation:
a+b+c=22
abc=?
2+3+17=22
2×3×17=102
Y-3=1/4(X-1)
Y-3=1/4X-1/4
Y=1/4X+11/4
Simplify by opening the bracket;
x(x^2+6y^2)
=
