Answer:
3
Step-by-step explanation:
Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!
Answer:
$600 in commission for the week paying 15% on up to $1000 daily
Step-by-step explanation:
To find the sales commission, multiply the percentage 15% as 0.15 against each sales up to $1000.
Monday - 0.15 (800) = $120
Tuesday - 0.15 (600) = $90
Wednesday - 0.15 (1000) = $150
Thursday - 0.15 (800) = $120
Friday - 0.15 (800) = $120
In total that's, $600 in commission.
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
x = 2.4
Step-by-step explanation:
Simplify.
24 - 4x + 4 = 6x + 2 - 6
Combine like terms (24 + 4 = 28, sorry for the confusion!)
28 - 4x = 6x - 4
Add x and add 4 to both sides.
10x = 32
x = 3.2
