Answer:
⅙ pitcher
Step-by-step explanation:
½ of ⅓ pitcher = ½ × ⅓ pitcher = ⅙ pitcher
Answer:
Step-by-step explanation:
Let X be the no of defective components produced by a certain process in one day
X is Poisson with parameter = 20
Y = no of components that can be repaired
Since each component to be repaired is independent of the other Y is Binomial with p =0.60
a) 
b) P(Y = 10)= Binomial prob (15,0.6) for y =10
= 
Here no of repairables X is binomial.
c) Prob for 15 produced and 10 repairable = product of a and b
= 0.009603
Answer:
1) 1/9
2) -5
Explanation:
Comment if one is needed
To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
Answer:
40 miles per hour
Step-by-step explanation:
Given that:
Distance = 400 miles
Without tailwind :
Time taken = 2.5 hours
Speed = distance / time
Speed = 400 miles / 2. 5
Speed = 160 miles per hour
With tail wind :
Time taken = 2 hours
Net speed = 160 + x
X. = speed of tail wind
Distance = speed * time
400 = (160 + x) * 2
400 = 320 + 2x
400 - 320 = 2x
80 = 2x
x = 40
Speed of tailwind = 40 miles per hour.
