Answer:
(16,63,65)
Step-by-step explanation:
Well, by trial and error, it turns out that 16²+63² = 65²
So the pythagorean triplet is (16,63,65)
Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
Answer:
4
Step-by-step explanation:
If the gas tank holds 5 liters and you have 20 liters, then 20/5 = 4 times it will fill it up.
Answer: $10
Step-by-step explanation:
Assume the price of the phone case is x.
Assume the price of the charging cord is y.
Discounted price for phone case : 15% * x
= 0.15x
Discounted price for charging cord = 0.15y
Expression is therefore:
0.15x + 0.15y = 4.20
0.15 * 18 + 0.15y = 4.20
2.7 + 0.15y = 4.20
0.15y = 4.2 - 2.7
y = 1.5/0.15
y = $10
Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!
