Decimals that contain a zero in the tenth position can be thought of as a fraction over 100 as the tenth isn't occupied and the hundredth correlates to the 100 as a denominator. The same goes for a number with the tenth position occupied. These decimals would be put over 10 as they are occupying that position in the decimal.
Answer:
exterior angles:
144°and 36°
126° and 54°
90° and 90°
Step-by-step explanation:
we know that each angle in a triangle adds up to 180°.
so,
2x+3x+5x=180
10x=180
x=180/10
x=18
the interior angles are:
2x=36°
3x=54°
5x=90°
and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Average speed = (distance covered in some time) / (time to cover the distance)
4 hours 45 minutes = 4-3/4 hours = 4.75 hours
Average speed = (3,800 km) / (4.75 hours) = 800 km/hr
Answer:
$53.00 + $14.50
= 67.50
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