Answer:
The 90% confidence interval is between a lower limit of 0.7306 and an upper limit of 0.7754.
Step-by-step explanation:
Confidence interval for a proportion is given as p +/- margin of error (E)
p is sample proportion = 753/1000 = 0.753
n is sample size = 1000
confidence level = 90%
critical value corresponding to 90% confidence level and infinity degree of freedom is 1.645
E = critical value×sqrt[p(1-p) ÷ n] = 1.645×sqrt[0.753(1-0.753) ÷ 1000] = 1.645×sqrt[1.85991×10^-4] = 1.645×0.0136 = 0.0224
Lower limit of proportion = p - E = 0.753 - 0.0224 = 0.7306
Upper limit of proportion = p + E = 0.753 + 0.0224 = 0.7754
90% confidence interval is (0.7306, 0.7754)
Here I am putting it in the picture.
The distances from Boston to New York and New York to Boston stayed the same. Going was 45mph and returning was 65mph. The average would just be the sum of the two, divided by 2
(45+65)/2 = 55mph average
Answer: Perimeter = 72.67
Area = 363.3
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the Pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 10
Therefore,
Area = 10² × 5 × tan(180/5)
Area = 500 × tan 36
Area = 363.3
The formula for determining the perimeter of a regular polygon is
P = 2 × area/apotherm
Perimeter = 2 × 363.3/10
Perimeter = 72.67
Probability of orange: 7/22
^ That's for one draw.
For 2 draws, it's when he draws an orange on one <u>and</u> then an orange on the next. So
7/22 x 7/22 = 49/484
