sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
<u>Step-by-step explanation:</u>
We need to find sum of sequence : 46 + 42 + 38 + ... + (-446) + (-450)
Given sequence is an AP with following parameters as :

So , Let's calculate how many terms are there as :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Sum of an AP is :
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
Answer:
<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>
Step-by-step explanation:
We make this conclusion based on these reasons:
- We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
- <em>"changes in the manufacturing process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.
It is based on the above reasons that the null hypothesis was rejected.
Hi there!
There are several possible options.
A main one would be : 10 DIMES and 2 PENNIES
Other ones could be :
2 quarters
1 dime
2 pennies
62 pennies
12 nickels
2 pennies
and more !
Hope this helps !
Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
= 
Multiply both sides by y
y × sin45° = 9, that is
y ×
= 9
Multiply both sides by 
y = 9