Liam’s saving = x + $140
Charlie’s saving = x + 5%
In order to get the value of x, let’s find the amount which 5% is equals to 140
=> 2800
=> 5% = 0.05
=> 2800 x 0.05
=> 140
=> 2800 (amount that Liam and Charlie have in their account before they added)
Thus, Liam and Charlie both have $2800 on their account .
=> Liams = 2800 + 140 = 2940
=> Charlir = 2800 + 5% (140) = 2940
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)
Answer:
9 + 7x
Step-by-step explanation:
14 + 3х - 5 + 4х
Subtract the numbers, and add the x's together.
9 + 7x
This is the furthest the expression can be simplified.
Hope this helps :)
5(x-8)-(x+6)=18
5x-40-x-6=18
4x-46=18
4x=18+46
4x=64
x=16
not sure if this is correct but i hope it helps!!!
Answer:
7.069 ft²
Step-by-step explanation:
Given that:
Shape of rug = circular
Diameter of rug = 3 feets
The Area in square feet of the rug =?
Area of a circle :
πr²
r = Radius
r = diameter / 2 = 3 /2 = 1.5 feets
Area = π * 1.5^2
Area = 7.0685834
Area = 7.069 ft²
