Answer:
C. 11.60 ounces to 12.60 ounces
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.10, standard deviation 0.25.
In which range will the amount of water dispensed be found 95% of the time?
By the Empirical Rule, within 2 standard deviations of the mean. So
12.10 - 2*0.25 = 12.10 - 0.5 = 11.60
12.10 + 2*0.25 = 12.10 + 0.5 = 12.6
So the correct answer is given by option C.
Answer: 2)The probability of drawing a red cube is 3/5 and the probability of drawing a blue cube us 2/5.
3) No the probability of selecting a red cube is not equal to probability of selecting a blue cube because the outcomes 3/5 and 2/5 are not equal.
Step-by-step explanation:
Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is 
⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵ 
- Multiply the base y
∵ 
∴ 
⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
