Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
Answer:
Option (3). 120° will be the answer.
Step-by-step explanation:
By using the theorem of secants intersecting externally,
Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.
m∠C = 
36° = 
72° =
°
= 72 + 48
= 120°
Therefore, Option (3) is the answer.
Answer:
$28360
Step-by-step explanation:
Step one:
Given data
P=20000
rate= 6%
time= 6years
Step two:
compound interest
A=P(1+r)^t
substitute
A=20000(1+0.06)^6
A=20000(1.06)^6
A=20000*1.418
A=$28360
Answer:
<h3><em>
315 red flowers</em></h3><h3><em>
420 white flowers</em></h3><h3><em>
315 yellow flowers</em></h3>
Step-by-step explanation:
1050 flowers
3/10 of them are red=> 3/10 *1050=3*105=315 red flowers
2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers
=> 1050-(315+420)=1050-735=315 yellow flowers