First, you pick is not defective with a probability of 17/20, the second with a probability of 16/19, the third 15/18, and the fourth 14/17.
So the probability of picking no defective tyres is:
(14*15*16*17)/(17*18*19*20)=168/342=84/171
So the probability of picking at least one defective tyre is 87/171 (just over half).
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
-36x<8 divide both sides by -36 (reversing the direction of the inequality sign because of division by a negative number)
x>-8/36 the largest common factor of 8 and 36 is 4 so divide numerator and denominator by this factor, 8 to simplify the fraction
x>-2/9 or in proper notation, x=(-2/9, +oo)
<u>Answer</u>:
The interest charged for this month is $7.5
<u>Step-by-step explanation:</u>
Given:
Principal = $300
Interest = 30%
Time = 1 month
To Find:
The interest charged for this month = ?
Solution:
we know that the interest charged = 
1 month can also be written as 
Substituting the values,
interest charged:
=> 
=> 
=> 
=>
=>
=>
=> 7.5
Given - Length of the Rectangular Plot : 16 meters
Given - Width of the Rectangular Plot : 4 meters
We know that - Area of a Rectangle is given by : Length × Width
Area of the Rectangular plot = (16 × 4) m²
Area of the Rectangular plot = 64 m²
Given : Square plot and Rectangular plot have same Area
Area of Rectangular plot = Area of Square plot
Area of Square plot = 64 m²
We know that - Area of Square is given by : Side × Side
Side × Side = 64 m²
S² = 64 m²
S² = 8² m²
S = 8 m
<u>Answer</u> : One side of the Square Garden plot is 8 meter