Answer:
15/32
Step-by-step explanation:
(-3/4)÷(-8/5)
(-3/4)×(-5/8)
15/32
H = Heads, T = tails
1st Coin 2nd Coin Final Outcome, ÷ 4 possible outcomes
H (H,H) 1/4, or 25%
H
T (H,T) 1/4, or 25%
H (T,H) 1/4, or 25%
T
T (T,T) 1/4, or 25%
If order does not matter:
T,T: 25%
TH or HT: 50%
HH: 25%
Mark has 32 marbles and John has 96 marbles. If you add the marbles together they both have a total of 128.
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!!!
<h2>
Answer:</h2>
Option: C is the correct answer.
C. 5
<h2>
Step-by-step explanation:</h2>
We will solve the following problem with the help of the Venn diagram.
Based on the Venn diagram we are asked to find the value of v i.e. those who have parakeet only.
From the information that:
x+y+10=35
i.e.
x+y=25
Also, based on the information :
u+z+10=28
i.e.
u+z=18
Also, 42 had neither a cat nor a dog nor a parakeet.
This means it cover the outer region of the three circles.
Total 100 families were surveyed it means that:
42+x+y+10+u+z+v=100
i.e. 42+25+10+18+v=100
i.e. 95+v=100
i.e. v=100-95
i.e. v=5
Hence, the number of families who have only parakeet are: 5
