3 1/2 in mixed fraction is 7/2
4 1/2 in mixed fraction is 9/2
So we can write 2 of those fraction like multiplication by each other and it’s gonna be 7/2 (2+9/2)
Answer:
k=(5x+6)/(3x+6) and k<3/5
Step-by-step explanation:
- 3k(x+2)+2 = 5x+8
- 3k(x+2)=5x+6
- 3k=(5x+6)/(x+2)
- k=(5x+6)/(3x+6)
it is solved for k
and considering the condition for x<3:
- 3k(x+2)+2 = 5x+8
- 3kx+6k=5x+6
- (5-3k)x=6k-6
- x= (6k-6)/(5-3k)
- x<3 ⇒ (6k-6)/(5-3k)<3 ⇒ 6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5
So,
k=(5x+6)/(3x+6) and k<3/5
Answer:
The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.
p-value = 0.00092
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the population proportion.
Proportion in the null hypothesis 
Sample size (n) = 73
Sample proportion (p) = 49/73 = 0.6712
H0:
Ha: 
Test statistic = 
Calculated statistic = 
p-value = 0.00092
Since, p - value is less than or equal to 0.05, the null hypothesis must be rejected. The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.
Answer:
RMN+117°=180
RMN=63°
Angle RMN is on the straight line with <117 in which the sum of angle on a straight line add up to 180 so we subtract 117 from 180 to get RMN
Answer:
16pi or approx. 50.26
Step-by-step explanation:
Since the diameter of each cookie is 8 cm, the radius of each cookie will be 4 cm. We can use the area of the circle formula (A = πr²), we can find that the area of each cookie is 16π, or around 50.26
