Answer:
The answer is -1.2
Step-by-step explanation:
Recalling the standard deviation formula,
we have : σ = sqrt[ P * ( 1 - P ) / n ]
Where sqrt = square root
n = Number of derivative
Therefore,:
if, H0: p is not 48% vs H1: p1 = 48%
standard deviation is:
σ = sqrt[ P * ( 1 - P ) / n ] = sqrt[ .48*.49/900 ] = .01666333+
z -score is (p-P)/σ
= (.51-.53)/.01666333
The answer therefore = -1.2
ICONCLUSION:
It can therefore be concluded that there is statistical evidence that the proportions are different. H0 accepted in the hypothesis.
Quadrilateral that is a parallelogram
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
AB and CD are two chords intersecting at O.
m∠AOD = 37°
m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]
m∠AOC = 180° - 37°
= 143°
By the theorem of intersecting chords,
Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.
m∠AOC = 
143° = ![\frac{1}{2}[(x+5)+(x-5)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%28x%2B5%29%2B%28x-5%29%5D)
143° = x
Therefore, Option (3) will be the answer.
Answer:
B
Step-by-step explanation:
First you find the amount of people at the reunion which was 80. Then you find 25% of 80. 25% of 80 is 20. The only age group with 20 people is the 20-29 year olds.
Answer:
Step-by-step explanation:
d = 2
arc length of semicircle = ½×circumference = ½×πd = π
perimeter of semicircle = π + d = π+2
