Answer:
C
Step-by-step explanation:
Ohio's resources support manufacturing equipment.
Answer:
This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.
Step-by-step explanation:
Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.
This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.
Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.
Answer: (0.8468, 0.8764)
Step-by-step explanation:
Formula to find the confidence interval for population proportion is given by :-
![\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
, where
= sample proportion.
z* = Critical value
n= Sample size.
Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.
Given : Sample size = 3597
Number of students believe that they will find a job immediately after graduation= 3099
Then, ![\hat{p}=\dfrac{3099}{3597}\approx0.8616](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B3099%7D%7B3597%7D%5Capprox0.8616)
We know that , Critical value for 99% confidence interval = z*=2.576 (By z-table)
The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be
![0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}](https://tex.z-dn.net/?f=0.8616%5Cpm%282.576%29%5Csqrt%7B%5Cdfrac%7B0.8616%281-0.8616%29%7D%7B3597%7D%7D)
![0.8616\pm (2.576)\sqrt{0.0000331513594662}](https://tex.z-dn.net/?f=0.8616%5Cpm%20%282.576%29%5Csqrt%7B0.0000331513594662%7D)
Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)
Common factor of 16 and 24 is 8