Answer:
0.9594
Step-by-step explanation:
Given that:
Sample size (n) = 64
p = 30% = 0.3 ; 1 - p = 0.7
Probability that sample proportion is greater than 0.2
Mean (m) = n*p = 64 * 0.3 = 19.2
Standard deviation (s) = √n*p*(1-p) = √(19.2*0.7)= 3.67
0.2 of 64 = 12.8
Z > [(x - m) / s]
Z > (12.8 - 19.2) / 3.67
Z > (-6.4 /3.67)
Z > - 1.7438
= 0.9594
Answer:
Gary has $595 after shopping.
Step-by-step explanation:
350 – 95 = 255
3 units = 255
1 unit = 255 ÷ 3 = 85
7 units = 85 × 7 = 595
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
The first hexagon: 2, 2, 3, 4, 6, 7
The second hexagon: 3, 3, a, b, c, d
The hexagons are similar. Therefore the sides are in proportion.
multiply both sides by 3

multiply both sides by 4

multiply both sides by 6

multiply both sides by 7

The perimeter:

Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice