197° until he is south-west of his starting point.
How far is he then from his starting point? with workings
Answer:
Step-by-step explanation:
Let the starting point be B and the stopping be C as shown in the diagram below.
therefore, the angle at A will be (197-90)degree = 107degree
the angle at B is 45degree, since it is directly south west of C.
therefore the angle at C will be A+B+C=180 degree(sum angle of a triangle)
107+45+C=180
therefore, C=180-107-45=28degree
therefore, using sine rule gives;
sinA/a =sinC/c
sin107/a=sin28/4
0.9563/a=0.4695/4
0.9563/a=0.11736
therefore, a =0.9563/0.11736=8.148=8.1km(approx.)
Answer:
81- eighty one
54- fifty four
Answer: 4d
Step-by-step explanation:
Product means multiplication, so the product of d and 4 means d times 4.
Probability of Multiple Events
1. d. taking 2 marbles from a box...
2. b. 0.1804
3. c. rolling an even number...
4. c. 42%
5. c. 9/11
Final answer:
To create a sample data set with n=7, a mean of 9, and a standard deviation of 0, all seven data points must be identical to the mean, resulting in the data set {9, 9, 9, 9, 9, 9, 9}.
Explanation:
To construct a sample data set with n=7, where \(\overline{x}=9\) (x bar is the sample mean), and s=0 (s is the sample standard deviation), follow these steps:
Remember that the sample mean is calculated as the sum of all data values divided by the number of values (n), and the sample standard deviation measures the amount of variation or dispersion of a set of values. A standard deviation of zero indicates that all values are identical to the mean.