Answer:
a) (x+2)(x+3)
b) (x+2)(x+3)=0, x=-2 and x=-3
Step-by-step explanation:
Answer:
w(4 - 11w)
Step-by-step explanation:
Answer:
Null hypothesis:
Alternative hypothesis:
Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%
Step-by-step explanation:
Information given
n=144 represent the random sample taken
X=81 represent the number of people with type A blood
estimated proportion of people with type A blood
is the value that we want to verify
represent the significance level
z would represent the statistic
Alternative hypothesis:
the statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with this probability taking in count the alternative hypothesis:
Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides
(a)
P = a + b + c + d
= x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms
= 12x + 19
(b)
If x = 4 , then
P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67
(c)
If x = 2 , then
P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43
(d)
P = a + b + c + d
= x² + 4x + 8 + 2x² + x ← collect like terms
= 3x² + 5x + 8
Answer:
Step-by-step explanation:
<u>Question 7</u>
Angle formed by 2 chords is half of the sum of the intercepted arcs
- x = 1/2(72° + 58°) = 1/2(130°) = 65°
<u>Question 8</u>
Angle formed by 2 secants is half of the difference of the intercepted arcs
- x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°