Answer:
Option C: n = 32; p^ = 0.4
Step-by-step explanation:
The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10
A) For n = 28 and p = 0.3;
np = 28 × 0.3 = 8.4 < 10
Thus, it can't be used.
B) For n = 28 and p = 0.9;
np = 28 × 0.9 = 25.2 > 10 Ok
n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok
Thus, it can't be used
C) For n = 32 and p = 0.4
np = 32 × 0.4 = 12.8 > 10 Ok
n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok
Thus, it can be used
D) For n = 32 and p = 0.2
np = 32 × 0.2 = 6.4 < 10 Not Ok
Thus it can't be used.
Answer:
9x^2 and -30x
Step-by-step explanation:
Basically, what we want to do is expand out (3x - 5)^2, which is the same as (3x - 5)(3x - 5).
Use FOIL (first, outer, inner, last):
- the first terms are 3x and 3x, so multiply those together: 3x * 3x = 9x^2
- the outer terms are 3x and -5, so multiply those: 3x * (-5) = -15x
- the inner terms are -5 and 3x, so multiply those: (-5) * 3x = -15x
- the last terms are -5 and -5, so multiply those together: (-5) * (-5) = 25
Add all these together:
9x^2 + (-15x) + (-15x) + 25
9x^2 - 30x + 25
The missing terms are thus 9x^2 and -30x.
Answer:
25
Step-by-step explanation:
Answer:69
Step-by-step explanation:
69•2= 138
69-11=58
58•3=174
174+138=312
- Answer:
- m∠P + m∠Q + m∠R = 180°
- PT, QU, and RS intersect at the same point.
Step-by-step explanation:
1. Not neccesarily true
2. Not necessarily true
3. True because angles in a triangle add to 180°
4. Not necessarily true
5. True because the medians are being constructed, and the three medians of a triangle are always concurrent.
6. Not necessarily true