Answer:
sinx = √2/3
Step-by-step explanation:
cos2x = 1-2sin²x
5/9 = 1-2sin²x
2sin²x =1-5/9
2sin²x = 4/9
sin²x = (4/9)/2
sin²x = (4/9)*(1/2)
sin²x = 2/9
sinx = √2/3
Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
Answer: b. 6(x + 4)
Step-by-step explanation:
The given word phrase = the product 4 more than x and 6
where , 4 more than x is equivalent to 
Therefore the algebraic expression for the given word phase "the product 4 more than x and 6"
=
Hence b. is the right option.
The algebraic expression for the given word phase is 
1-r=-5
add r to both sides so the one side cancels out, then it should be 1=r-5
then you add -5 on each sides (because what you do to one side you must do to the other) and it would then have r on its own side which would give you your answer of r=6. To check 1-6 does equal -5
The answer would be 108. 108:45 can be simplified to 12:5.
