∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer:
A. -4
Step-by-step explanation:
f(2)=4(2)-12
= -4
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)
The recommended daily amount of fiber is 30 grams.
Step-by-step explanation:
Quantity of fiber in one cup = 12 grams
It is 40% of our daily recommended amount.
Let,
x be the quantity of fiber recommended daily.
40% of x = 12
Dividing both sides by 0.4
The recommended daily amount of fiber is 30 grams.
Keywords: percentage, division
Learn more about percentages at:
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