Answer:
Step-by-step explanation:
Answer:
True.
Explanation:
We take the analogy from the graph of y = ax^2
When y = x^2, the parabola opens upward (towards the positive y-axis). However, when the parabola is y = -x^2, it opens downward (towards the negative y-axis).
In a similar way, when we have x = ay^2, the parabola opens towards the positive x-axis ( towards the right). However, if we have x = -ay^2, then the parabola opens towards the negative x-axis ( towards the left).
Therefore, by comparison, x = - 1/8 y^2, opens to the left, and the correct option to choose is 'True'.
Answer:
Step-by-step explanation:
Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.
H0: p1=p2
H1: p1 <p2
(one tailed test)
p1 = 15/343:p2 =27/294:
Difference 4.813 %
95% CI 0.9160% to 9.0217%
Chi-squared 5.947
DF 1
Significance level P = 0.0073
Since p <0.01 we reject null hypothesis.
Question #25:
One way to solve this is by multiplying the number of packages per serving by the number of guests.
1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.
A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.
3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.
Question #26:
First, find common denominators.
2/3 = 8/12
1/4 = 3/12
Second, subtract.
8/12 - 3/12 = 5/12
Therefore, the tank is 5/12 full at the end of the trip.
Question #27:
1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.
Therefore, the original string was as a total of 6 meters.
Best of Luck!
Answer:
x ≥ 2 or x ≤ -2
Step-by-step explanation:
|2x+1|≥5
There is a positive and negative solution. When we take the negative solution we flip the inequality.
2x+1 ≥5 or 2x+1 ≤-5
Subtract 1 from each side
2x+1-1 ≥5-1 2x+1-1 ≤-5-1
2x ≥ 4 2x ≤- 4
Divide by 2
2x/2 ≥ 4/2 2x/2 ≤- 4/2
x ≥ 2 or x ≤ -2