Given that,
Point = (-5,3)
Slope, m = -3/5
To find,
The slope intercept form of the equation of the line.
Solution,
The general form of equation is :
y = mx +b
We have, x = -5, y = 3
So,
The equation is :
Hence, the required equation is .
Drag each tile to the correct cell in the table.
2 answers:
Answer:
Ari has 14 pennies.
Step-by-step explanation:
Number Value Total value
Pennies p $0.01 0.01p
Nickels (22 - p) $0.05 $(22 - p)0.05
Total 22 - $0.54
Since Ari has total value of the coins = $0.54
0.01p + (22 - p)0.05 = 0.54
0.01p - 0.05p + 1.1 = 0.54
-0.04p = -0.56
p =
p = 14
Therefore, total number of pennies Ari has = 14
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Answer:
a) 504
b) 56
c) 0.111
Step-by-step explanation:
Data provided in the question:
There are nine golf balls numbered from 1 to 9 in a bag
Three balls are randomly selected without replacement
a) 3-digit numbers that can be formed
=
n = 9
r = 3
= ⁹P₃
=
= 9 × 8 × 7
= 504
b) 3-digit numbers start with the digit 1
= _ _ _
in the above 3 blanks first digit is fixed i.e 1
we and we have 8 choices left for the last 2 digits
Thus,
n = 8
r = 2
Therefore,
= 1 × ⁸P₂
= 1 ×
= 1 × 8 × 7
= 56
c) Probability that the 3-digit number formed is less than 200
Now,
The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)
and total 3-digit numbers that can be formed is part a)
therefore,
Probability that the 3-digit number formed is less than 200
= 56 ÷ 504
= 0.111