Answer:
31/35
Step-by-step explanation:
The fraction of the money raised by Fiona and Patrick is the sum of the fractions given for the money raised by both of them. Given that Fiona raised 2/7 of the money and Patrick 3/5, the sum of these 2 fractions
= 2/7 + 3/5
make the lowest common multiple of the denominators the base and multiply the numerators by it
= (10 + 21)/35
= 31/35
Answer:
D. 9 inches
Step-by-step explanation:
By using proportionality theorem,
Triangle BLM ~ Triangle BAC
as ba = bl + la and as bl = la
Therefore, bl + la = 2bl
Now, we get,
as bc = 18
Hence,
Answer:
A. -12 meters
B. 28 meters
C. 40 meters
Step-by-step explanation:
The surface of the ocean would be 0.
Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.
For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.
Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.
Answer:
The z-statistic lies in the critical region
Step-by-step explanation:
When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:
- If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
- If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.
In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:
The z-statistic lies in the critical region
Simplify the square root of 54x^9y^7 or √(54x^9y^7)
54x^9y^7 = (3x^4y^3)^2 (6xy)
Now square root of (3x^4y^3)^2 = 3x^4y^3
So the final answer is 3x^4y^3 √(6xy)
<span>Hence option “B” is correct. </span>