<h3><u>
Question:</u></h3>
"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?
1 , 2.5 , 6.25, 15.625, ..."
<h3><u>Answer:</u></h3>
The value of the next term is 39.0625
<h3><u>Solution:</u></h3>
Given that the series is 1 , 2.5 , 6.25, 15.625
When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5
So, all the successive numbers are 2.5 times of their previous number
So the value of next term is 39.0625
With what ? I need more instructions
Let's figure this out as though we have no idea what the answer would be.
Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75
Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39
Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36
Step 4
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296
Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8
Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689
Step seven
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3
Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.
Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully.
The answer is 14.5 because :
2 times 2?5 = 5 so the denominator must have the same done, so 7.5 x 2.5 is 17.5. Subtract 3 from 7.5 and you get 14 .5 . So, m+ 14.5
<h2>
Answer:</h2>
<em><u>The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
The maximum height of the vehicle which is capable of passing under the bridge is 12 feet and 5 inches.
So,
Now we know that,
1 feet = 12 inches
So,
12 feet = 12 x 12 = 144 inches
So,
Total height of the vehicle which is permissible to pass under the bridge is,
12 feet 5 inches = 144 + 5 = 149 inches
Also,
Height of the truck = 162 inches
Therefore, we can see that the permissible height is smaller than the height of the vehicle.
Height of vehicle which is more than permissible height is by,
162 - 149 = 13 inches
<em><u>Therefore, the truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>
