Answer:
<h2>
$5.03</h2>
Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
Answer:
The letter P represents 1/8 on the number line
Step-by-step explanation:
Answer: $12,916.70
Step-by-step explanation:
Given the following:
Invoice received :
Bedroom set = 5
Cost per set = $3,000
Chain discount = 5/8/3
Freight cost = $200
If Mel pays within the discount period:
Chain discount given = 5/8/3
Therefore, net equivalent price rate equals:
(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =
0.95 × 0.92 × 0.97 = 0.84778
Net price = total cost × 0.84778
($3000 × 5) × 0.84778
$15000 × 0.84778 = $12,716.7
Net equivalent price + FOB Shipping
$12,716.7 + $200 = $12,916.70
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Step-by-step explanation:
To find unit rate
1 bag = 36÷ 3 = 12
So unit rate = $12
