<span>The answer would be letter D. 476 and 690
Use Z score which is calculated as (GMAT score - mean)/ Standard Deviation.
Look up tables of Z score to get Pr.'s. The tables only show positive values because the normal distribution is symmetrical, so if you get a negative using the formula above it only indicates that your.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer: Ken Earned 81$
Step-by-step explanation: Subtract 12 from the total, then divide by 2 because his wife earns double than him, plus 12$ more.
Have a good day :)
From the given points that are (3,1),(9,3),(27,9), we can say that x is three times of y. That is
x= 3y
And we need to solve for y. For that, we need to get rid of 3 from the right side by dividing both sides by 3 . And on doing so , we will get
![\frac{x}{3} = \frac{3y}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20%3D%20%5Cfrac%7B3y%7D%7B3%7D%20)
![\frac{x}{3}=y](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%3Dy%20)
or
![y=\frac{x}{3}](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7Bx%7D%7B3%7D%20)
Let us examine the speed of growth of the function. We have that the difference between successive terms is: 2, 4, 8, 16. These are powers of 2 and thus there is clearly an exponential increase in the parent function. In fact, the function can be modeled by f(x)=C+2^x where C is a constant.
We have that the new function is g(x). Translating upwards by 5 means that the new y-values are 5 units higher. Hence, we have that the pairs (x,f(x)) correspond to the pairs (x,f(x)+5) and thus the answer is that the f(x)/y-values will be increased by 5.
According to the above, we need to check the given values and see whether in some cases we have g(x)=f(x)+5; in layman's terms, we need to check whether for some x, the new y-value is bigger by 5 from the old one. This is the case only for (2,16) since the old point was (2,11).