Answer:
You were correct
Step-by-step explanation:
Sometime the system will mess up or the people who made the question accidentally chose the wrong answer but you are correct
Answer: Probability that this whole shipment will be accepted is 0.629
Step-by-step explanation:
The company randomly select and test 20 components and accept the whole batch if there are fewer than 3 defectives.
Applying normal distribution,
z = (x-u)/s
Where
n = number of components that were tested.
s = standard deviation
u = mean = np
p = probability that the component has defect
q = probability that the component does not have defect
x = r = the number of components
From the information given,
p = 8/100 = 0.08
q = 1-q = 1-0.08 = 0.92
n = 20
u = 20×0.08 = 1.6
s = √20 × 0.08 × 0.92 = √1.472
s = 1.21
Probability that this whole shipment will be accepted will be probability that fewer than 3 components have defects. This means that it must be lesser than or equal to 2 components.
P(x lesser than 3) =P(x lesser than or equal to 2). Therefore,
x = 2
z = (2-1.6)/1.21 = 0.33
Looking at the normal distribution table, the corresponding z score is 0.629
Answer:
<h3>=> —6x = 12</h3><h3>=> —x = 12/6</h3><h3>=> —x = 2</h3>
<h2>=> x = —2</h2>
Step-by-step explanation:
hope it's helpful :-)
Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
Let x be Juilo's normal hourly rate.
so for the 35 hr week we have:-
30x + 5*1.4x = 436.60
37x = 436.60
x = 436.60 / 37 = $11.80
His normal hourly rate = $11.80
So for a 30 hr week he will earn 11.80 * 30 = $354
So the amount $436.60 is a reasonable figure for a 35 hr week.
