Answer:
90% confidence interval for the mean commute time of working adult Calgary residents is between a lower limit of 26.72 minutes and an upper limit of 30.28 minutes.
Step-by-step explanation:
Confidence Interval = Mean + or - Error margin (E)
mean = 28.5 minutes
sd = 24.2 minutes
n = 500
degree of freedom = n - 1 = 500 - 1 = 499
confidence level = 90%
t-value corresponding to 499 degrees of freedom and 90% confidence level = 1.64801
E = t × sd/√n = 1.64801 × 24.2/√500 = 1.78
Lower limit = mean - E = 28.5 - 1.78 = 26.72 minutes
Upper limit = mean + E = 28.5 + 1.78 = 30.28 minutes
90% confidence interval is between 26.72 and 30.28 minutes.
167,000
Step-by-step explanation:
47000 plus 3000 mutipled by 40 gives you your answer
I’m not entirely sure how to answer this without a word problem, but from what I see, all you have to do is multiply the two numbers.
12 x 43= 516
5 x 88 = 440
8x 63= 504
7 x 28= 196
Usually, when you see a number followed by another number in parentheses, like here, that means to multiply.
Answer: 15x+12
Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.
Answer:
10a: △ABC is an Equilateral triangle with all acute angles.
10b: △BCD is A scalene triangle with all acute angles.
10c: △BDE is An Isosceles triangle with one obtuse angle.
Step-by-step explanation:
10) Looking at the diagram at the bottom left;
- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.
Thus, we can classify it as; Equilateral triangle with all acute angles.
- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.
We can classify it as;
A scalene triangle with all acute angles
- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.
Thus, we can classify it as;
- An Isosceles triangle with one obtuse angle.
