Answer:
Step-by-step explanation:
The properties of circumcenter give that it lies at the midpoint of the hypotenuse if it is of a right triangle.
Now, the given triangle is a right triangle and the two ends of the hypotenuse WU are U(-3,2) and W(4,-3).
Therefore, the mid point of the hypotenuse WU will be given by 
.
Therefore, the circumcenter of the right triangle Δ UVW will be . (Answer)
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Answer:
For question 3, the slope would be -5
Step-by-step explanation:
If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.
Hope this helps :)
Answer:
(-2,-1)
Step-by-step explanation:
(-1,2) ---->> (-2,-1)
A) First, we convert from percentiles to z-score using a z-table or graphing calculator. The z-table tells us that a z-score of about -0.64 is at the 26th percentile. Then, we convert from z-score to chips using the formula z = (x - mean)/standard deviation. -0.64 = (x - 1261)/117, so x = 1186.12, or about 1186 chips.
b) To find the percentage distance from the mean to one side of the distribution, we divide 97 by 2 to get 48.5. This means that 48.5% above and below the mean is the same as the middle 97%. To find the number of chocolate chips in the bag, we have to find number of chocolate chips in the 98.5th percentile (98.5 is found by adding 48.5 to 50) and the number of chocolate chips in the 1.5th percentile (1.5 is found by subtracting 48.5 from 50). We use a z-table to see that a z-score of about -2.17 is at the 1.5th percentile and a z-score of about 2.17 is at the 98.5th percentile. We convert -2.17 to chips using -2.17 = (x - 1261)/117, and x = 1007.11, or 1007 chips. We convert 2.17 to chips using 2.17 = (x - 1261)/117, and x = 1514.89, or 1515 chips. So a bag containing 1007 to 1515 chips makes the middle 97% of bags.
c) This question is similar to the previous question because it is basically asking you for the middle 50% of bags. The main difference is that we have to subtract the two values in this question to get one number. We divide 50 by 2 to find that 25% of the data falls above and below the mean. So, we need to find the value at the 25th percentile (50-25) and the 75th percentile (50+25). The z-table tells us that a z-score of about -0.67 is at the 25th percentile, and a z-score of about 0.67 is at the 75th percentile. Using the z-score formula, we find that a z-score of -0.67 is equivalent to 1,182.61 and a z-score of 0.67 is equivalent to 1339.39. The interquartile range = 1339.39-1182.61 = 156.78.
