Answer:
n = 195
Step-by-step explanation:
What sample size is necessary such that a 98% confidence interval for the mean, using σ = 3, has a width of pm±0.5?
We solve using Margin of error formula
= z × Standard deviation/√n
Margin of error = ± 0.5
Standard deviation = 3
n = ??
z = 2.326
Hence,
±0.5 = 2.326 × 3/√n
Cross Multiply
±0.5 × √n = 6.978
√n = 6.978/±0.5
√n = ±13.956
Square both sides
n = (±13.956)²
n = 194.769936
Approximately = 195 samples
Answer:
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Step-by-step explanation:
TRUST
Answer:
Discount:
$2.85
final price
$54.15
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 57 × 5/100
Discount = 57 x 0.05
You save = $2.85
Final Price = Original Price - Discount
Final Price = 57 - 2.85
Final Price = $54.15
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.