Answer:
c. (3, 2)
Step-by-step explanation:
Equating the values of y :
- -x + 5 = x - 1
- x + x = 5 + 1
- 2x = 6
- <u>x = 3</u> [x-coordinate of the solution]
Finding y by substituting x in one of the equations :
- y = x - 1
- y = 3 - 1
- <u>y = 2</u> [y-coordinate of the solution]
Solving :
- Solution = (x, y)
- Solution = (3, 2)
Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
Answer:
$206
Step-by-step explanation:
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = principal x time x interest rate
principal = the amount deposited = $200
Time = the duration of the deposit = 1 year
interest rate = the percentage on deposit that would be earned = 3%
200 x 0.03 x 1 = $6
The amount that would be in the account = $200 + $6 = $206
I'm not sure what you mean but 54/6 is equal to 9
Answer:
(-5 , 2 )
Step-by-step explanation:
hello :
×-5y=-15
5y = x+15
y = (1/5)x+3 for x= - 5 y = (1/5)(-5) +3 so : y = 2
