Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
0.3569 is the probability that they have a mean pregnancy between 266 days and 268 days.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 268 days
Standard Deviation, σ = 15 days
We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(pregnancy between 266 days and 268 days)
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.
2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3
x=3
7. 4x+y=8 ----- first equation
(+)
-3x-y=0
_______
x = 8 ---- second equation
substitude second equation into first equation
4(8) + y = 8
32 + y = 8
y = 24
8. 2x+5y=20 ---- first equation
(-)
2x-5y =3
________
10y = 17
y = 17/10 ---- second equation
substitude second equation into first equation
2x + 5(17/10) = 20
2x + 17/2 = 20
4x + 17 = 40
4x = 23
x = 23/4
9. 3x+2y=-10 (×2) ---- first equation
2x-5y=3 (×3)
6x + 4y = - 20
(-)
6x - 15y = 9
___________
19y = - 29
y = - 29/19 ---- second equation
substitude second equation into first equation
3x + 2(-29/19) = - 10
3x - 58/19 = - 10
3x = - 132/19
x = - 44/19
The first one is 34, 4(9)-2+4
the second one is 12+113(9)
