Answer:
A) ≈ 6.93
B) ≈ 0.02
Step-by-step explanation:
A)
Formula : a² + b² = c²
2.4² + 6.5² = c²
5.76 + 42.25 = c²
c = √48.01
c ≈ 6.93
B)
Formula = c² - a² = b²
1/3² - 1/4² = b²
1/9 - 1/16 = b²
b = √7/144
b ≈ 0.02
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Answer: X=136 degrees
Explanation: A triangle has a total of 180 degrees measuring all 3 angles. 180-90-46 gives me 44 left, then subtract 44 from 180 and that gives you 136 degrees.
Find the total number of dogs by adding each day:
Total dogs = 23
Percent of dogs: Divide the number of dogs by the total number of patients:
= 23 / 50 = 0.46 x 100 = 46%
Use the given formula to find the standard error:
Standard error = √(0.46*(1-0.46)/50) = 0.07
90%: Find Z value for 90% ( 1.645) multiply by SE:
1.645 x 0.07 = 0.115 = 0.12
Now add and subtract that value from the Percent from above:
46 + 12 = 58%
46-12 = 34%
Answer (34%, 58%)
95%: Find Z value for 95% ( 1.96) multiply by SE:
1.96 x 0.07 = 0.137 = 0.14
Now add and subtract that value from the Percent from above:
46 + 14 = 60%
46-14 = 32%
Answer (32%, 60%)
12 = 12/1 = 24/2, 24/2+1/2=25/2 so 25/2, and it's in simplest form because 2 can't go into 25