Answer:
Step-by-step explanation:
f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.
g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.
The answer is 162 81pi/2
Hope this helps!
the area is (1/2) x pix 9^2 = 81pi over 218.9=162162-81pi over 2
Yanira = Y
Tim = T
Hannah = H
-----------------
Therefore:
Y=T+3
Y=2H
T=H+2
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Now, we know that:
Y=T+3
But we also know that:
T=H+2
Therefore:
Y=(H+2)+3
Y=H+5
-------------------
Now we can combine the equations:
Y=H+5
Y=2H
Therefore:
2H=H+5
2H-H=5
So, H=5.
---------------------
If H=5,
Y=2H=2*5=10
---------------------
If H=5,
T=H+2=5+2=7
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Answers:
Yanira is 10 years old.
Tim is 7 years old.
Hannah is 5 years old.
Answer:
P ( X < 4 ) = 0.1736706
Step-by-step explanation:
Given:
- A random variable X follows a binomial distribution as follows,
Where n = 8, and p = 0.6.
Find:
- P ( X < 4 )?
Solution:
- The random variable X follows a binomial distribution as follows:
X ~ B ( 8 , 0.6 )
- The probability mass function for a binomial distribution is given as:
pmf = n^C_r ( p )^r (1-p)^(n-r)
- We are asked to find P ( X < 4 ) which is the sum of following probabilities:
P ( X < 4 ) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 )
- Use the pmf to compute the individual probabilities:
P ( X < 4 ) = 0.4^8 + 8^C_1*(0.6)*(0.4)^7 + 8^C_2*(0.6)^2*(0.4)^6 + 8^C_3*(0.6)^3*(0.4)^5 .
P ( X < 4 ) = 6.5536*10^-4 + 7.86432*10^-3 + 0.04128768 +0.12386304
Answer: P ( X < 4 ) = 0.1736706
Answer:
G
Step-by-step explanation: