Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the <u>standard deviation for the population</u>, which is why the z-distribution is used to solve this question.
- The sample mean is .
- The population standard deviation is .
- The sample size is .
The interval is given by:
We have to find the critical value, which is z with a p-value of , in which is the confidence level.
In this problem, , thus, z with a p-value of , which means that it is z = 1.96.
Then:
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at brainly.com/question/22596713
Answer:
Correct answer: a = 3 · 4⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
Geometric sequence 3, 12, 48, 192, .....
First term a₁ = 3
Second term a₂ = 12
Third term a₃ = 48
Common ratio or quotient:
q = a₂ / a₁ = a₃ / a₂ = 12 / 3 = 48 / 12 = 4
q = 4
First term a₁ = 3
Second term a₂ = a · q
Third term a₃ = a₂ · q = a₁ · q²
Fourth term a₄ = a₃ · q = a₁ · q³
......................................................
n- th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
In this case aₙ = 3 · 4⁽ⁿ ⁻ ¹⁾
God is with you!!!
Yes they can. They have to be more clear and collected
Answer:
The answer to your question is she bought 79 large cups and 76 small cups.
Step-by-step explanation:
Data
small cups = s = $1.25
large cups = l = $2.15
total number of cups = 155
total money = $265
Process
1.- Write 2 equations to solve the problem
s + l = 155
1.25s + 2.15l = 265
2.- Solve by substitution
s = 155 - l
1.25(155 - l) + 2.15l = 265
193.75 - 1.25l + 2.15l = 265
-1.25l + 2.15l = 265 - 193.75
0.9l = 71.25
l = 71.25/0.9
l = 79
s = 155 - 79
s = 76