Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders
hours so 1 builder would take 5 ×
which is
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
<span>Probability = 0.063
Fourth try = 0.0973
Let X be the number of failed attempts at passing the test before the student passes. This
is a negative binomial or geometric variable with x â {0, 1, 2, 3, . . .}, p = P(success) = 0.7
and the number of successes to to observe r = 1. Thus the pmf is nb(x; 1, p) = (1 â’ p)
xp.
The probability P that the student passes on the third try means that there were x = 2
failed attempts or P = nb(2, ; 1, .7) = (.3)2
(.7) = 0.063 . The probability that the student
passes before the third try is that there were two or fewer failed attmpts, so P = P(X ≤
2) = nb(0, ; 1, .7) + nb(1, ; 1, .7) + nb(2, ; 1, .7) = (.3)0
(.7) + (.3)1
(.7) + (.3)2
(.7) = 0.973 .</span>
Answer:
The sandals cost before tax $25.
Step-by-step explanation:
Let us assume that the sandals cost before tax $x.
So, after giving an 8% tax the price will be
.
If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then
1.08x - 15 = 12
⇒ 1.08x = 27
⇒ x = $25
Hence, the sandals cost before tax $25. (Answer)
Answer:
Step-by-step explanation:
Let L be the given line, then, with a slope of -8
L : y = -8x + b
where b is to be determined from the included point A(-10,0).
Substitute point A in L to get
0 = -8 (-10) + b
solve to get
b = -80
therefore
L : y = -8x -80
Now substitute B(-9,z) in L
z = -8(-9) - 80 = -8