Answer:
0.12
Step-by-step explanation:
Suppose there are 100 kids
60% have fever, so <em><u>what is 60% of 100?</u></em>
We convert percentage to decimal and multiply:
60/100 = 0.6
0.6 * 100 = 60 have fever
20% of the people having fever (60 of them) have sore throats, so,
<u><em>What is 20% of 60?</em></u>
We convert percentage to decimal and multiply:
20/100 = 0.2
0.2 * 60 = 12 have sore throat
So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:
Putting in h(1) would get you 1, putting in h(4) would get you 5.
17-(28÷4)+(5)x2 equals 20.
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
