Answer:
a. 0.69
b. 0.13
c.0.56
Step-by-step explanation:
Total number = 100
a) either means students with either option are valid
69/100 = 0.69
b) both means each student has done both math and english
=13/100 = 0.13
c) Only one means has done one subject and not both classes. We have 23 for math and 33 for english (this is according to your venn diagram)
23+33=56
one subject =56/100 = 0.56
Answer:
Step-by-step explanation:
Given
Required
The equivalent
Apply law of indices to the inner bracket
Rewrite as:
Expand
Apply law of indices
The population standard deviation is 4.858 and the sample standard deviation is 5.4314
Stephen is likely to qualify since his annual income is less than the median income of Texas.
Answer:
144 ways
Step-by-step explanation:
Number of paintings = 7
Renaissance = 4
Baroque = 3
We are hanging from left to right and we will first hang Renaissance painting before baroque painting.
For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24
For baroque we have 3! Ways of doing so. 3x2x1 = 6
We have 4!ways x 3!ways
= (4x3x2x1) * (3x2x1) ways
= 144 ways
Therefore we have 144 ways to hang the painting.