Answer:
Lower limit = 1007.95 cm/s
Upper limit = 1142.05 cm/s
Step-by-step explanation:
We have to calculate a 95% CI with population's standard deviation known.
The sample is size n=60, with mean M=1075.
The confidence interval can be expressed as:
For a 95% CI, the value of z=1.96.
Answer:
B. is exactly 1 triangle
Step-by-step explanation:
For any given triangle, the sum of the internal angles is 
. Thus from the given question, adding the given angles;
30° + 70° + 80° =
Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.
Answer:
70/5985
Step-by-step explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.
Answer:
46 Teas and 29 Coffees
Step-by-step explanation:
46×3= 138
29×6= 174
174+138=312
