Find the indicated probability. Round your answer to 6 decimal places when necessary.A family has five children. The probability of having a girl is 0.5. What is the probability of having 3 girls followed by 2 boys?

A.
B.
C.
D.


Answer: D

Mathematics

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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = 

A. L = ln 4, N = 8 B. L = 0, N = 7 C. L = ln 2, N = 6 D. diverges

Mathematics

Find the domain of the expression. ? ?

A. All real numbers x B. All real numbers x such that x ? -8 C. All nonnegative real numbers  x such that x < -8 D. All real numbers x such that x < -8 E. All real numbers x such that x ? -8

Mathematics

The chart shows the number of research articles in the prominent journal Physics Review that were written by researchers in Europe during 1983 - 2003 ( represents 1983).

?

?
Which of the following logistic functions best models the data? (?t is the number of years since 1983.) Try to determine the correct model without actually computing data points.
?
(A)
?
(B)
?
(C)
?
(D)
?
__________
?
According to the model you selected, at what percentage was the number of articles growing around 1984?
?
__________%

What will be an ideal response?

Mathematics

Choose the correct graph of the line with the given slope and y-intercept.? ? slope:    y-intercept: 

A.

?


B.

?


C.

?


D.

?


E.

?


Mathematics