Answer:
( 4, 7)
Step-by-step explanation:
Answer:
(-3, 0).
Step-by-step explanation:
At the x intercept y = 0 so
(x + 3) / (x - 2) = 0
x + 3 = 0
x = -3.
x-intercept is at (-3,0).
Answer:
49 eggs.
Step-by-step explanation:
The formula for Margin of Error =
z × standard deviation/√number of samples
z = z score of 98% confidence interval = 2.326
Margin of Error = Half a day = 1/2day = 0.5 day
Standard deviation = 1.5 days
Number of samples = number of eggs he needs to sample = unknown.
Imputing these above values into the formula
Margin of Error = z × standard deviation/√number of samples
0.5 = 2.326 × 1.5/√n
Cross Multiply
0.5 × √n = 2.326 × 1.5
√n = 2.326 × 1.5/0.5
√n = 3.489/0.5
√n = 6.978
Square both sides
(√n)² = 6.978²
n = 48.692484
n ≈ Approximately to the nearest whole number = 49
Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs
2x+y=-10
Multiply both side by 3
2x*3+y*3=-10*3
6x+3y=-30
3x-y=0
Multiply both side by 2
3x*2-y*2=0*2
6x-2y=0
Next, use substitute property
6x+3y=-30
-
6x-2y=0
=
y=-30
3x-y=0
Substitute y with -30
3x-30=0
Add 30 to each side
3x-30+30=0+30
3x=30
Divided both side by 3
3x/3=30/3
x=10, so the solution pair is (10,-30). In this case, there is the first way to solve these two equation.
Then, I would use equation 3x+1.5y=-15 in this question by multiply 2x+y=-10 by multiplying both side by 3/2 to eliminate x and to solve variables for y. Hope it help!
