Answer:
a=567 km+900 km
a=1,467 km
b=567 km+169 km
b=736 km
x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1
Step-by-step explanation:
It is not reasonable because if someone were to add 4 toppings, the price would be $20.41. However, if a person were to add 3 toppings using that equation, the price would $19.02.
Answer:
The probability that the next person asked has two pets is 0.176
Step-by-step explanation:
The given parameters are;
The frequency distribution of the number of pets owned is presented as follows;
Number of Times
Frequency
None
354
One
981
Two
352
Three
200
Four
113
The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176
Therefore, the probability that the next person asked has two pets = 0.176
Answer:
The cup can hold 497.17 in³ of liquid.
Step-by-step explanation:
The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.
Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³
Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³
Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³
The cup can hold 497.17 in³ of liquid.