Answer:
P=0.54.
Step-by-step explanation:
We know that in a sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans.
We calculate the number of sedans that are not black:
3120-1170=1950
We calculate the number of black cars that are not sedans:
1560-1170=390
The number of automobiles which are black or a sedan is
1950+390+1170=3510.
The probability that the automobile is black or a sedan is:
P=3510/6500
P=0.54.
<h2>○=> <u>Correct option</u> :</h2>
<h3>○=> <u>Steps to derive correct option</u> :</h3>
Selling price of a car = $19,000
Percentage of sales tax in the city = 8.3%
Sales tax :
Thus, the sales tax on the car = $1577
Cost of license and title = $75
Total price of car :
= Cost price of car + Sales tax + cost of license/title
Thus, the total purchase price of the car = $20,652.00
Therefore, the correct option is <em>(C) $20,652.00</em>
If 10 is decreased to 6 it would be 60% a
Answer:
the dimension of the box is : 8 by 5 by 3
Length = 8
Width = 5
Height = 3
Step-by-step explanation:
Let x,y and z represent the length, width and height of the box.
Given;
The length is 3 inches more than the width
x = y+3 .......1
the width is 2 inches more than the height
y = z + 2
z = y-2 .........2
Volume = length×width×height = xyz = 120 in^3
xyz = 120 ........3
Substituting equation 1 and 2 into 3
(y+3)×y ×(y-2) = 120
y(y^2+y-6) = 120
y^3 + y^2 - 6y - 120 = 0
Solving the polynomial equation we have;
y = 5
From equation 1;
x = y+3 = 5+3
x = 8
From equation 2;
z = y-2 = 5-2
z = 3
Therefore, the dimension of the box is
8 by 5 by 3
Length = 8
Width = 5
Height = 3
Answer:
Shorts = 112 and t shirts = 165
Step-by-step explanation:
Let S = shorts
Let T = t shirts
T + S = 277
$2T + $3S = $656
-2(T + S) = 277 so -2T -2S = -544
2T + 3S = 656 so 2T + 3S = 656
------------------------
SO: (subtract T's cancel out) 1S = 112
divide by 1 so S = 112
Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165
