Answer:
Y= - 1/2X + 11.5
Step-by-step explanation:
first you would go and subtract the y coordinates 13-9 which is 4 then you would do the same for the x values -3-5 which is -8. then you would make your fraction which is 4/-8. you would simplify that to be negative 1/2. then you take your slope - 1/2 and multiply that by one of your x values and see the difference so i did that for 5 and got -2.5 and added 11.5 t get to 9 so you would do that for the other one to see if it works. and it does so your equation is Y= - 1/2X + 11.5.
Answer:
Gabby= 172.5 Jase= 137.5
Step-by-step explanation:
310-35= 275
275/2= 137.5 = Jase add 35 for Gabby
137.5+35=172.5
You divide the numerator by the denominator
We know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
in this problem
size of the sample=9-------> set. {2, 4, 6, 9, 16, 44, 51, 60, 78}
size of the event space=4---->number less than 10--> {2, 4, 6, 9}
P=4/9
the answer is
<span>P(< 10) = 4/9</span>
Answer:
Z = 1.25
Step-by-step explanation:
![\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\Z=\frac{87-82}{4}\\ \\Z=\frac{5}{4}\\ \\Z=1.25](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Z%3D%5Cfrac%7B%5Ctext%7BObserved%20Value%7D-%5Ctext%7BMean%20of%20the%20Sample%7D%7D%7B%5Ctext%7BStandard%20Deviation%20of%20the%20Sample%7D%7D%5C%5C%5C%5CZ%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%20%5C%5CZ%3D%5Cfrac%7B87-82%7D%7B4%7D%5C%5C%20%5C%5CZ%3D%5Cfrac%7B5%7D%7B4%7D%5C%5C%20%5C%5CZ%3D1.25)
Hence, Michael's z-score is 1.25, which means that he scored 1.25 standard deviations above the class average.