Answer:
<em>A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle.</em>
Step-by-step explanation:
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Answer:
The cost of tuition fee after 4 years is $15,149.72.
Step-by-step explanation:
Exponential function:
A= the amount after n years
P= Initial amount
r= rate of increasing
n= time in years
The cost of tuition at a college is $12,000. It is increasing at the rate of 6% each year.
Here, P= $12,000, r= 6%= 0.06, n= 4 years.
=$15,149.72
The cost of tuition fee after 4 years is $15,149.72.
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
Answer:56
Step-by-step explanation:
50 - 23 + 29 = 56
Answer:
midpoint is y2+y1/2, x2+x1/2 therefore 3+1/2,-6+-4/2,4/2,-10/2 and the answer is (2,-5 )
