Statements are;
1) S(q) represents a quantity that changes at a constant rate per unit interval.
2) S(q) represents a quantity that changes at a constant percent rate per unit interval
3) S(q) represents a linear function
4) S(q) represents an exponential function.
Answer:
Statements 1 & 3 are true while statements 2 & 4 are false
Step-by-step explanation:
We are told that S(q) is a function that represents the quiz score, S, in terms of the number of correctly answered questions, q.
Statement 1 is true because the quiz score(S(q)) changes at a constant rate per unit questions answered since the math quiz has 10 questions and is scored out of 100
Statement 2 is false because S(q) is not expressed as a percentage rate.
Statement 3 is correct because S(q) function is a straight linear functional relationship where it directly depends on the number of correctly answered questions(q)
Statement 4 is false because the relationship is not expressed in exponential form but as a direct linear relationship.
3. yes
4. no
5. no
6. yes
7. yes
do you want 8, 9, 10, and 11 too?
Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups