Answer:
Chelsey can be a member of the fitness club for <u>10</u> months.
Step-by-step explanation:
Given:
Chelsey wants to join a fitness club.
The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.
She has $250 to spend on a membership at the fitness club.
Now, to find the number of months Chelsey can be a member of the fitness club.
Let the number of months Chelsey can be a member of the fitness club be 
Monthly fee = $19.50.
Membership fee = $55.
Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:
<em>Subtracting both sides by 55 we get:</em>
<em>Dividing both sides by 19.50 we get:</em>
Therefore, Chelsey can be a member of the fitness club for 10 months.
Step-by-step explanation:
From given data,
n = 1496
x = 478
Proportion estimate ( p ) = 
= 
= 0.3195 ≅ 0.31
Proportion estimate ( p ) = 0.31
∴ The proportion of new car buyers who prefer foreign cars -> 0.31
3√1024<span>= 10.079368399159
That's your answer.
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Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
