Answer:
1 +-3i
Step-by-step explanation:
Well you're correct in saying that it's because it's a regular hexagon and so if one triangle is an equilateral, then all of them are. If you want a mathematical way to prove it, then if the point around N is 360° because it's around a point, then you can divide 360 by 6 (6 triangles) to get 60°. That is the angle of ENX, and therefore it is an equilateral triangle because all angles in an equilateral triangle are 60°. I hope this helps!
Answer:
l : b = 6 : 5
Step-by-step explanation:
let's assume lenght of each congruent rectangle be x
now,
Lenght of the larger rectangle =
=》3 × lenght of smaller rectangle = 3x
but it is also equal to
=》4 × width of each smaller rectangles ( b )
so, we get :-
=》4 × b = 3x
=》b = 3x / 4
so, we get width of smaller rectangle =
now, width of larger rectangle =
=》lenght of smaller rectangle + (2 × width of smaller rectangle)
=》
=》
=》
=》
now, length of larger rectangle = 3x
width of larger rectangle = 5x/2
so l : w :-
=》
=》
=》
so, required ratio of l : b = 6 : 5
Answer:
Interpretation of P-value.
Step-by-step explanation:
- P values helps us to evaluate and act as an indicator how well the sample data support the null hypothesis is true.
- Thus, in a way it helps us to tell that the information obtained from the sample is true in respect to the population or not.
- It measures how close the data are with respect to the null hypothesis.
-
High P-values means that the data supports the null hypothesis and sample provides correct information about the population.
- A high p value states that the sample is taken from the population.
- Low P-values means that the data does not supports the null hypothesis and sample does not provides correct information about the population.
- A low p value states that the sample is not taken from the population.
- A low P value suggests that the sample provides enough evidence and information, that we can reject the null hypothesis for the entire population or we can conclude that the sample does not belong to the population.
- If p-value of 0.002 is less than the significance level than it provides enough evidence that we reject the null hypothesis.
- Thus a low p value of 0.002 says that large group of late lunch eaters lost less weight than a large group of early lunch eaters.
- Thus, this sample does not belong to the population where the loss in weight was same.
Answer:
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Step-by-step explanation:
Given that :
The mean grams by a bag filling machine μ = 417
Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting
The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.
Hence,
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
