Answer:
The distance of the point P(-6, 8) from the origin is
OP2=(-6)2+82=36+64=100⇒OP=√100=10 units
The solution would be like this for this specific problem:
H0: p = p0, or <span>
H0: p ≥ p0, or
H0: p ≤ p0 </span>
find the test statistic z
= (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis. <span>
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z </span>
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p
< 0.67
The test statistic is: <span>
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681 </span>
The p-value = P( Z < z
) <span>
= P( Z < -1.538681 )
<span>= 0.0619</span></span>
Answer:
Step-by-step explanation:
Let the points be A and B
Let A ( 0 , 1 ) be ( x₁ , y₁ ) and B ( 3 , 0 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the </u><u>slope</u><u> </u><u>of</u><u> </u><u>the </u><u>points</u>
Hope I helped!
Best regards! :D
Answer: The vertex is at (1, –5) and the axis of symmetry is y = 1.
Step-by-step explanation: graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below .
X=6
Z=8 so X:Z
=. 6/8
So 2 goes into both 6 and 8 so divide numerator and denominator by 2 which = 3/4
