Mathematics, 20.09.2019 09:00, gg1040

With probability !
1) the graph shows the number of each kind of book in hero's personal library. a book is chosen randomly. what is the probability that the book chosen is a science fiction book?
a)1/30
b)14/15
c)7/15
d)1/4
2)marlene is a tennis player who has won 55% of her tennis matches. what is the probability that she will lose her next tennis match?
a) 55%
b)50%
c)45%
d)5%
3) six tiles lettered b, a,n, a,n and a are lying face down on a table . a tile is selected, the letter is recorded, the tile is replaced, and the process is repeated. what is the theoretical probability of selecting the letter a
a) 1/3
b)2/5
c)1/6
d)1/2

With probability ! 1) the graph shows the number of each kind of book in hero's personal libr

Answers: 2

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Answers

answered: torresfatima20pa6p1r

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

The probability is the size of the event space divided by the size of the sample space

Part 1) What is the probability that the book chosen is a science fiction book?

Let

x--------> the size of the event space

y-------> the size of the sample space

P------> probability

$P=\frac{x}{y}$

in this problem we have

$x=14\ books\\y=30\ books$

substitute

$P=\frac{14}{30}$

Simplify

$P=\frac{7}{15}$

therefore

the answer part 1) is the option C

$\frac{7}{15}$

Part 2) Marlene is a tennis player who has won $55\%$ of her tennis matches. What is the probability that she will lose her next tennis match?

we know that

the probability that she won is $55\%$

the probability that she will lose is $100\%-55\%=45\%$

therefore

the answer Part 2) is the option C

$45\%$

Part 3) Six tiles lettered B,A,N,A,N and A are lying face down on a table . A tile is selected, the letter is recorded, the tile is replaced, and the process is repeated. What is the theoretical probability of selecting the letter A

Let

x--------> the size of the event space

y-------> the size of the sample space

P------> probability

$P=\frac{x}{y}$

in this problem we have

$x=3\ letters\ A\\y=6\ total\ letters$

substitute

$P=\frac{3}{6}$

Simplify

$P=\frac{1}{2}$

therefore

the answer Part 3) is the option D

$\frac{1}{2}$

answered: Guest

Where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. to write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. this is the value of m in the equation.

answered: Guest

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.

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With probability !
1) the graph shows the number of each kind of book in hero's personal libr...