WILL MARK BRAINLIEST!!!!!!!!! Can anyone help me with this.....There are multiple answers that need to be chosen
2 answers:
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Answer: 0.0174
Step-by-step explanation:
Given :
Let x be the random variable that represents the weight of the drumsticks.
We assume that the weight of the drumsticks is normally distributed.
Now, the z-score for x=2.23 ,
Using z-value table , we have
P-value =P(x≥2.23)=P(z≥2.11)=1-P(z<2.11)=1-0.9825708
=0.0174292≈0.0174 [Rounded nearest 4 decimal places]
Hence, the probability of the stick's weight being 2.23 oz or greater = 0.0174
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:
To find the area of the circumscribed circle:
To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:
The area of the triangle is:
The semiperimeter of the triangle is:
The radius of the circle is therefore
The area of the inscribed circle then is .
Hope this helps!