Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
Answer:
a) 99.7%
b) 68%
c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.
d) 81.5% of organs weighs between 290 grams and 365 grams.
Step-by-step explanation:
A) 99.7% of organs will be between 3 standard deviation from the mean.
So 99.7% of organs will be between 185 and 455.
B) 275 grams and 365 grams are 1 standard deviation from the mean.
From empirical rule about 68% data falls within 1 standard deviation from the mean.
So 68% of organs weighs btwn 275 grams and 365 grams.
C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.
D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.
According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.
So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.
According to the empirical rule about 68% data falls within one standard deviation from the mean.
so, 68%/2 = 34% of organs weighs between the mean and 365 grams.
So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.
Answer:
The equation of the circular wheel is .
Step-by-step explanation:
Given :
Radius of Ferris wheel r = 70 feet.
The distance between the wheel and the ground = 4 feet.
Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.
So the x coordinate of center of wheel must be 0 , and y coordinate = 70 + 4 = 74
Thus, Coordinates of center = (0,74)
The equation of circle is given by :-
Now center (h,k) = (0,74) and r = 70 , we get
Hence, the equation of the circular wheel is .