Answer:
Horizontal side: 7 ft
Vertical side: 12 ft
Area: 286 ft
Step-by-step explanation:
horizontal: 25 - 18 = 7
vertical: 10 + 2 = 12
area= (25x12) - (2x7) = 286
Answer:
The conclusion is that ‘There is evidence that the mean child mortality rate for countries in Africa is more than the mean Child mortality rate for countries in South Asia. ’
Step-by-step explanation:
The t-test is used to compare values.
Answer:
domain : ] -∞ , 2]
Step-by-step explanation:
the value of 2-x must be more than or equal to 0
because you there is no square root for negative number
2-x ≥ 0
x ≤ 2
Answer:
f(g(t)) = 2t² + 1
Step-by-step explanation:
You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):
![f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1](https://tex.z-dn.net/?f=f%28t%29%20%3D%202t%20%2B%205%5C%5C%5C%5Cg%28t%29%20%3D%20t%5E2%20-%202%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202%28g%28t%29%29%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202%28t%5E2%20-%202%29%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202t%5E2%20-%204%20%2B%205%5C%5C%5C%5Cf%28g%28t%29%29%20%3D%202t%5E2%20%2B%201)
Answer:
The probability that the new baby just born is a boy is 0.6
Step-by-step explanation:
- B=Event where the nurse picked up a boy
- G=Event where the nurse picked up a girl
Applying Bayes's Theorem:
P(A|B)=P(A) P(B|A) / [ P(A) P(B|A)+ P(C) P(B|C) ]
Where:
- P(A|B)=probability that the new baby just born is a boy given that the nurse picked up a boy.
- P(A)=Probability that the woman had a boy= 1/2
- P(C)=Probability that the woman had a girl=1/2
The probability for P(A) and P(C) is 1/2 becuase there are only two options. Girl or Boy
n= number of girls born
3+n= Total number of children in the nursery
Then,
P(A|B)=![\frac{\frac{1}{2} \frac{3}{3+n} }{\frac{1}{2} \frac{3}{3+n} + \frac{1}{2} \frac{2}{3+n}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%20%20%5Cfrac%7B3%7D%7B3%2Bn%7D%20%7D%7B%5Cfrac%7B1%7D%7B2%7D%20%20%5Cfrac%7B3%7D%7B3%2Bn%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Cfrac%7B2%7D%7B3%2Bn%7D%7D)
P(A|B)=3/5
P(A|B)=0.6