Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
To solve this problem you must use the information given in the problem above:
1. You have that he jogs
to the park and then
to the playground, then he jogs
miles to the bridge and
to his house.
2. Therefore, as you can see, Jerry completes his jog when he arrives to his house. So, he is
from his house.
Then, the answer is: 
Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
Answer:
the quotient of 45 or o is 45/o. A quotient is the result of a division . For example 8/4=2 so, 2 is the quotient.