Answer:1)Number of different license plates can be made =17576×100×260=456976000
2)Probability of getting a plate with abc123 or 123 abc=0.0000004
Given that :-A license plate has six characters.
As three characters are letters ∴ ways of these 3 letters into the plate with repetition = 26×26×26=17576 ways
and two characters are numbers (0-9 - total 10 characters)∴ways of these 2 numbers into the plate with repetition=10×10 =100 ways
and one character is a letter or a number=26×10=260
So number of different license plates can be made =17576×100×260=456976000
Now Probability of getting a plate with abc123 or 123 abc
=P(abc123 or 123abc)=P(abc123)+P(123abc)-P(abc123)×P(123abc)=1/456976000+1/456976000-1/456976000×1/456976000
=1/456976000(1+1-1/456976000)
=1/456976000(2-0.0000002)=2/456976000=0.0000004
Probability of getting a plate with abc123 or 123 abc=0.0000004
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Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
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Step-by-step explanation:
i did already
Answer:
3,378.70
Step-by-step explanation:
First, find the total amount Henry spends a month. 25.30 for printer ink and 52 for advertising. 25.30+52=$77.30.
Subtract what he has spent from what he has made.
3,456-77.30=3,378.70
That is his profit.
