Answer:
b) yes
The manufacturer has the right to state that the light bulbs last on average 400 hours
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given sample size 'n' = 64</em>
<em>Given standard deviation of the Population (σ)=100</em>
<em>Mean of the sample (x⁻) = 350 hours</em>
<em>95% of confidence interval is determined by</em>

(
(350-24.5 , 350+24.5)
<em>(325.5 , 374.5)</em>
<u><em>Conclusion:-</em></u>
<u><em>Yes</em></u>
The manufacturer has the right to state that the light bulbs last on average 400 hours
12a + 7(2000) > = 38000
12a + 14000 > = 38000
12a > = 38000 - 14000
12a > = 24000
a > = 24000/12
a > = 2000 <==== at least 2000 alumni would have to buy tickets
Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
Answer: The table is proportional.
Step-by-step explanation: You would do 21/6 to get 3.5. Then 28/8 to get 3.5. After 35/10 to get 3.5. Finally 49/14 to get 3.5. If each answer (3.5) is the same than it is proportional.
A prime number can only be divided by one oritslef and a composite number can bedivided by other njmbers.