Answer:
-5 sorry if it's wrong. I tried.
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
Answer: 6
Step-by-step explanation:
So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x
56-32=4x
24=4x
now divide 4 from bboth sides of the equation getting:
x=6
so Sameer ate 6 strawberries
Answer:
84
Step-by-step explanation:
7x12
Answer:
There are <u>13</u> nickels and <u>5</u> dimes in the jar.
Step-by-step explanation:
Total number of coins = 18
Number of nickels =
Number of dimes = 
Therefore 
Total value of coins = $1.15
Value of nickels = $
Values of dimes = $
therefore 
We have a system of equation to solve
(1)
(2)
Multiplying equation (2) with 
Now adding it to equation (1)
We get 
Dividing both sides by 
∴ 
Plugging value of in equation (1).
Subtracting both sides by 13.
∴ 
Therefore there are 13 nickels and 5 dimes in the jar.
