Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
Answer:
2x = 8
Step-by-step explanation:
2 is the coefficient because the coefficient always comes before the variable. In this case the variable is X, and 2 comes right before that signaling that it is (2)(x).
Hope this helps!
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.
Answer:
The correct equation form for finding the price of a sandwich is 5x + 1.25 = 38.75 and the cost of each sandwich was $ 7.50
Step-by-step explanation:
1. Let's check all the information given for solving this question:
Cost of bag of chips = $ 1.25
Cost of sandwich = x
Cost of total order = $ 38.75
2. The formula for find the cost of sandwich (x) is this:
5x + 1.25 = 38.75 (Joaquin ordered 5 sandwiches and a bag of chips)
5x = 37.50 (Subtracting 1.25 at both sides)
5x/5 = 37.50/5 (Dividing by 5 at both sides)
x = 7.50
The cost of each sandwich was $ 7.50
Answer:
530
Step-by-step explanation:
562 - 32 = 530