The sum of the numbers 14 is 2=2 and the product of 39 is 0
Answer:
±35
Step-by-step explanation:
sqrt(49*25)=sqrt(49)*sqrt(25)=±7*±5=±35
Answer:
![z=\frac{510-520}{\frac{90}{\sqrt{100}}}= -1.11](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B510-520%7D%7B%5Cfrac%7B90%7D%7B%5Csqrt%7B100%7D%7D%7D%3D%20-1.11)
And we can find the probability using the normal standard distribution table and with the complement rule we got:
![P(z](https://tex.z-dn.net/?f=P%28z%3C-1.11%29%3D%200.1335)
Step-by-step explanation:
For this problem we have the following parameters:
![\mu = 520, \sigma = 90](https://tex.z-dn.net/?f=%20%5Cmu%20%3D%20520%2C%20%5Csigma%20%3D%2090)
We select a sample size of n =100 and we want to find this probability:
![P(\bar X](https://tex.z-dn.net/?f=%20P%28%5Cbar%20X%20%3C510%29%20)
The distribution for the sample mean using the central limit theorem would be given by:
![\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})](https://tex.z-dn.net/?f=%5Cbar%20X%20%5Csim%20N%28%5Cmu%2C%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%29)
And we can solve this problem with the z score formula given by:
![z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B%5Cbar%20X%20-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And if we find the z score formula we got:
![z=\frac{510-520}{\frac{90}{\sqrt{100}}}= -1.11](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B510-520%7D%7B%5Cfrac%7B90%7D%7B%5Csqrt%7B100%7D%7D%7D%3D%20-1.11)
And we can find the probability using the normal standard distribution table and with the complement rule we got:
![P(z](https://tex.z-dn.net/?f=P%28z%3C-1.11%29%3D%200.1335)
Answer:
(0,1) , (2,4) , (4,7)
Explanation:
convert the equation into slope-intercept form (this would be y=3/2x+1)
now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.