2x+3y=17 --- 1
3x+6y=30 --- 2
x+2y=10
x=10-2y --- 3
Sub 3 into 1,
2(10-2y)+3y=17
20-4y+3y-17=0
3-y=0
y=3 --- 4
Sub 4 into 3,
x=10-2(3)
x=4
Therefore, Answer is (4,3).
Answer:
Her uncle's age = 47 years
Step-by-step explanation:
Sophia = 12 years old
Her Uncle Reynald tells her that if she adds 5 to her age,
= 12 + 5
multiplies the sum by 3
= (12 + 5) × 3
and then subtracts 4 from the product
= {(12 + 5) × 3} - 4
she will find his age
{(12 + 5) × 3} - 4
= (17 × 3) - 4
= 51 - 4
= 47
Her uncle's age = 47 years
Sophia wrote:
12 + 5 × 3 − 4
Using PEMDAS
P - product
E - exponent
M - multiplication
D - division
A - addition
S - subtraction
Sophia's expression can be written as = 12+(5*3)-4
= (12 + 15) - 4
= 27 - 4
= 23
Sophia's expression is wrong
It’s D.
Natural numbers are 1,2,3,4,5,etc...
Whole numbers are 0,1,2,3,4,5,etc...
Integers are -1,-2,-3,-4,-5,-6,etc...
Rational numbers are -8/12, 2/3, 0.468,etc...
Supplement is 180- angle
180-95 = 85
Answer:
y₀.₉₅ = 3659
Step-by-step explanation:
P( no accident ) = 0.8
P( one accident ) = 0
deductible = 500
mean = 3000
<u>Determine the 95th percentile of the insurance company payout </u>
Assuming : y =company payout , x =amount of loss incurred due to accident
Then :
P( x < 500 ) = 0.2 ( 1 - e^-500/3000)
= 0.2 ( 1 - e^-1/6 )
95th percentile =
= P( y < y₀.₉₅ ) 0.95
P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307
attached below is the remainder of the solution
