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Marysya12 [62]
2 years ago
15

Please help with math

Mathematics
1 answer:
Ivan2 years ago
8 0

Answer:

B is the answer

Step-by-step explanation:

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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}

<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

<u>And  If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>

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<br> B. 2,364 cm ^2<br> C. 1,464 cm^2<br> 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
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