Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
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Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
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Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
The value of x is 2 because we can compare like terms
In a Rhombus the diagonals intersect and divides it in two equal halves.
Therefore LP = 28/2
LP = 14cm
Answered by GauthMath if you like please click thanks and comment thanks
Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
