Answer:
40%
Step by step explanation is given above
Answer:
1
Step-by-step explanation:
Answer:
9.7%
Step-by-step explanation:
Given:
Observed score value = 8.5
Actual score value = 7.75
Required:
Percent error to the nearest tenth
SOLUTION:
Percent error = \frac{Value_{observed} - Value_{actual}}{Value_{actual} * 100 [/tex]
Percent error = \frac{8.5 - 7.75}{7.75} * 100 [/tex]
Percent error = \frac{0.75}{7.75} * 100 [/tex]
Percent error = \frac{75}{7.75} [/tex]
Percent error = 9.7 [/tex] (nearest tenth)
Answer:
More than 50
Step-by-step explanation:
To solve, we need to first see that the function is h(n). Picking main points from the question statement:
- h(n) is the product of all even integers (From 2 to n)
- p is the smallest factor of h(100)+1
- h(100)+1 , here n=100
From here, we can write h(100) as:
h(100) = ![2 * 4 * 6 * 8 * ...... * 100](https://tex.z-dn.net/?f=2%20%2A%204%20%2A%206%20%2A%208%20%2A%20......%20%2A%20100)
h(100) =
= ![2^{50} * 50!](https://tex.z-dn.net/?f=2%5E%7B50%7D%20%2A%2050%21)
so,
h(100)+1 =![(2^{50} * 50! )+1](https://tex.z-dn.net/?f=%282%5E%7B50%7D%20%2A%2050%21%20%29%2B1)
Now two numbers,
h(100) and h(100)+1 are consecutive integers and since they are consecutive so they are co-prime. Hence they only have common factor of 1. Example, 13 and 14 have only common factor of 1
As h(100) has all prime numbers from 1 to 50 and according to above statement h(100)+1 won't have any prime factor from 1 to 50, so the smallest prime factor p is greater than 50.
Answer:
x = 5.5
EF = 14
Step-by-step explanation:
We can use ratios to solve
AG 7
----------- = -----------------
EG 2x+3
We know that EG is 2 times AG since A is the midpoint
AG 7
----------- = -----------------
2 AG 2x+3
Canceling like terms
1 7
----------- = -----------------
2 2x+3
Using cross products
1 (2x+3) = 2*7
2x+3 = 14
Subtract 3 from each side
2x+3-3 = 14-3
2x =11
Divide by 2
x = 11/2
x = 5.5
EF = 2x+3 = 2*5.5+3 = 14