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3 years ago

Out of a class of 8 boys and 4 girls, a group of 7 people is chosen at random.

Mathematics

2 answers:

eimsori [14]3 years ago

5 0

Answer:

So since

Step-by-step explanation:

The equation to determine this would be to multiply the number of spots by, each, the total number of possible candidates, minus one, consecutively.

In other words:

-9 kids total

-7 will be selected

calculation: 9*8*7*6*5*4*3

That calculation will give you the total number of possible outcomes, and only one of them will yield 4 girls being selected. Therefore, the odds are:

1/9*8*7*6*5*4*3

Work out the multiplication, and you get this:

1/181,440

Or, 1 out of 181,440; or,

181,440 to one.

storchak [24]3 years ago

3 0

Answer:

Out of a class of 8 boys and 4 girls, a group of 7 people is chosen at random.

Find the probability that the group of 7 includes one particular boy. Find the probability that the group of 7 includes at least 2 girls?

boys= 8

girls= 4

total= 12

probability that the group of 7 includes a boy= 8/12= 2/3

probability that the group of 7 includes at least 2 girls= 4/12= 1/3

Step-by-step explanation:

You might be interested in

2x-4=-4x+6<br> What value of x makes the equation true<br> A x=5/3<br> B x=-5/3<br> C x=5<br> D x=-5

Rama09 [41]

Answer: 5/3

6x = 10

x=10/6

x=5/3

8 0

3 years ago

Read 2 more answers

The table shows a gym class's average results for boys and

Rufina [12.5K]

Susan can jump at most 104 in during the long jump

<h3>Inequality</h3>

Inequality is an expression that show the non equal comparison of two or more variables and numbers.

From the table, the average result for females = 8ft 4in = (8 * 12)in + 4in = 100 in

Since Susan could jump no farther than 4 inches more than the average distance for females, hence:

j ≤ 4 + 100

j ≤ 104 in

Susan can jump at most 104 in during the long jump

Find out more o Inequality at: brainly.com/question/24372553

5 0

2 years ago

The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = $\frac{total}{count}$

Thus for the given 10 numbers we have

$\frac{total}{10}$ = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

$\frac{total+x}{11}$ = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

4 0

3 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

Determine the relationship between the two triangles and whether or not they

Ira Lisetskai [31]

Answer: These ARE congruent to each other.

Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.

7 0

2 years ago