Please help with math

A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pro

dsp73

Answer:

The required probability is $P(x)=\frac{9}{128}$ or $P(x)=0.0703125$ .

Step-by-step explanation:

Consider the provided information.

A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis,

The probability of yea or nay vote is equal, = $\frac{1}{2}$

So, we can say that $p=q=\frac{1}{2}$

Use the formula: $P(x)=\binom{n}{x}p^xq^{n-x}$

Where n is the total number of trials, x is the number of successes, p is the probability of getting a success and q is the probability of failure.

We want proposal wins by a vote of 7 to 2, that means the value of x is 7.

Substitute the respective values in the above formula.

$P(x)=\binom{9}{7}(\frac{1}{2})^7(\frac{1}{2})^{9-7}$

$P(x)=\frac{9!}{7!2!}(\frac{1}{2})^7(\frac{1}{2})^{2}$

$P(x)=\frac{8\times9}{2}\times(\frac{1}{2})^9$

$P(x)=\frac{4\times9}{2^9}$

$P(x)=\frac{9}{2^7}$

$P(x)=\frac{9}{128}$ or $P(x)=0.0703125$

Hence, the required probability is $P(x)=\frac{9}{128}$ or $P(x)=0.0703125$ .

4 0

3 years ago

The equation of three lines are given below

kotykmax [81]

Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

Line 1 : 2 y = 5 x + 6

Line 2 : y = $\frac{2}{5}$ x - 1

Line 3 : 10 x + 4 y = - 6

Now, The standard equation of line is

y = m x + c

where m is the slope of line

And c is the y intercept

So, From Line 1

2 y = 5 x + 6

or , y = $\frac{5}{2}$ x + $\frac{6}{2}$

I.e y = $\frac{5}{2}$ x + 3

So, slope of this line = $m_1$ = $\frac{5}{2}$

Again , From Line 2

y = $\frac{2}{5}$ x - 1

So, slope of this line = $m_2$ = $\frac{2}{5}$

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - $\frac{6}{4}$ - $\frac{10}{4}$ x

I.e y = - $\frac{5}{2}$ x - $\frac{6}{4}$

So, Slope of this line = $m_3$ = - $\frac{5}{2}$

Now, If the lines are parallel , then the slope of the lines are equal

And If the lines are perpendicular , then the product of the slopes of the lines = - 1

Now, From given lines

$m_2$ × $m_3$ = $\frac{2}{5}$ × ( - $\frac{5}{2}$ )

I.e $m_2$ × $m_3$ = - 1

So, The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3

Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer

6 0

3 years ago

PLZ ASAP! but take your time to solve it.

gizmo_the_mogwai [7]

Answer:

20

Step-by-step explanation:

6 0

3 years ago

A. 2,464 cm^2 B. 2,364 cm ^2 C. 1,464 cm^2 D. 1,364 cm^2

Nastasia [14]

Answer:

c 1464 cm ^2 is the answer

5 0

3 years ago

9. Which transformation will place the trapezoid onto

galben [10]

Answer: B

The rotation will go back to the place where the trapezoid started

8 0

3 years ago