Answer:
480
Step-by-step explanation:
Original Price = o = 400
% increase in price = i = 20% = 0.20
New Price = n = ?
n = o + (o x i)
n = 400 + (400 x 0.20)
n = 400 + 80
n = 480
Hence the new price is 480
If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
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True
There are only two negative integers, so there is no way it will become positive if you are adding them together.
Answer:
132 bicycles
Step-by-step explanation:
The ratio of bicycles to cars is 15:60. Before anything, we need to simplify this ratio. 15/15 = 1, and 60/15 = 4. So, now we have 1:4. Since the question asks for 33 bicycles, we multiply the number of bicycles, 1, by 33. Since we are multiplying the bicycles, we also need to multiply the cars. 4 x 33 = 132.
33:132. We need 132 cars.
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
<em> f(5) = 5² -1 = 25-1 =24</em>
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
<em>The inverse of given function </em>
<em> f⁻¹ ( x ) = √x+1</em>
c) put x=8
<em> f⁻¹ ( 8 ) = √8+1 = √9 =3</em>
