Answer:
X probability = 0.02
Cumulative frequency at x ( 6 ) = 1
Step-by-step explanation:
X P ( X ) Cf ( X )
1 0.58 0.58
2 0.18 0.58 + 0.18 = 0.76
3 0.10 0.76 + 0.10 = 0.86
4 0.07 0.86 + 0.07 = 0.93
5 0.05 0.93 + 0.05 = 0.98
6 0.02 0.98 + 0.02 = 1
Answer: A. ± 
Step-by-step explanation:
± 
= ± 
Rearranging, we get:
= ± 
Divide by the constant on the right to put the equation into intercept form.
.. -3x/8 +4y/8 = 1
.. x/(-8/3) +y/2 = 1
The intercepts are (-8/3, 0) and (0, 2).
Answer:
22*1.06 = cost of meal with tax = 23.32
22*.20 = tip on the pre-tax cost = 4.40
Total = $27.72
Step-by-step explanation:
Answer: 80°
Step-by-step explanation:
Since, If two secants intersect outside the circle, then the measure of the angle formed is one half of the difference of the measures of the intercepted arcs.
In the given diagram,
Chord VS and chord UT are intersecting externally,
Also, ∠SPT is the angle formed by the intersection of these chords.
Thus, by the above property,
![\frac{1}{2}[m(\widehat{VU})-m(\widehat{ST})]=m\angle SPT](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Cwidehat%7BVU%7D%29-m%28%5Cwidehat%7BST%7D%29%5D%3Dm%5Cangle%20SPT)
![\implies \frac{1}{2}[m(\widehat{VU}) - 20^{\circ}]= 30^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Cwidehat%7BVU%7D%29%20-%2020%5E%7B%5Ccirc%7D%5D%3D%2030%5E%7B%5Ccirc%7D)


⇒ Measurement of the arc VU= 80°.