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2 years ago

The probability ofwinning a game is 25%. How manytimes

Mathematics

2 answers:

Anarel [89]2 years ago

8 0

Answer:

Step-by-step explanation:

topjm [15]2 years ago

6 0

Answer:

Step-by-step explanation:

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What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil

pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = $\frac{P( A and B)}{P(B)}$

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = $\frac{P( A and B)}{P(B)}$

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

3 0

3 years ago

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

Help!!!Can someone help me with my math ttas fast!!

MAVERICK [17]

The answer to the question is boneless

4 0

3 years ago

In Exercises 17-20, find the value of x so that the function has the given value. 17. f(x) = 8x - 7; f(x) = 17

Nastasia [14]

Answer:

17.) x = 3

18.) x = -5

I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3

Step-by-step explanation:

All you really have to do for all of the problems is substitute your value of "x" for the function.

17.) f(x) = 8x - 7; f(x) =17

17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides

24 = 8x ------ divide 8 on both sides

x = 3

18.) g(x) = -4x + 7; g(x) = 27

27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides

20 = -4x

x = -5

5 0

2 years ago

Which statement is true about discontinuities of the function ?

uysha [10]

The Second one hope it helped

3 0

3 years ago