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Stolb23 [73]
3 years ago
8

A coin is to be tossed 36 times what are the mean and standard deviation of the number of heads

Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:

Binomial distribution,

n = 36 independent events,

p = 0.5 probability of success and of failure, as 1-p = p.

Mean of binomial distribution is np=18.

Variance is np(1-p)=9

Standard deviation is sqrt(variance)=3.

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What is the solution to y-2x=3 & 3x-2y=5
timofeeve [1]

Answer:

x= -11;y= -19

Step-by-step explanation:

lets name y-2x=3    "A" ;

name 3x-2y=5        "B".

2A:     2y-4x=6

2A+B:  (2y-4x)+(3x-2y)=6+5

2y-4x+3x-2y=11

-x=11

so x= -11

so A is :  y-2 (-11)=3

y+22=3

so

y= -19

   

5 0
3 years ago
NEED SOME HELP FAST!!!!
Bad White [126]
The volume is 12.5 hope it helps

4 0
3 years ago
Beach ball has a diameter of 10 in what is the volume of air contained inside the beach ball
kicyunya [14]
The formula for volume of a sphere is \frac{4}{3}  \pi r^{3}
To get radius from diameter, we must divide it by 2. 10/2=5, meaning the radius is 5 in.
Now, we just need to plug the values into the equation.
\frac{4}{3}  \pi 5^{3} =  \frac{4}{3}  \pi 125 = 166.67 \pi = 523.61 in^{3}
5 0
3 years ago
Read 2 more answers
Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The product:

A * B = \frac{1}{2} * \frac{2}{3}

A * B = \frac{1}{1} * \frac{1}{3}

A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

B = \frac{2}{3}

The quotient:

A / B = \frac{1}{2} / \frac{2}{3}

Express as product

A / B = \frac{1}{2} / \frac{3}{2}

A / B = \frac{1*3}{2*2}

A / B = \frac{3}{4}

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

x = \frac{1}{2}

y = \frac{2}{3}

The sum:

x + y = \frac{1}{2} + \frac{2}{3}

Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0
3 years ago
|2x + 5| = 13 please show work
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

      -5      -5

|2x| = 8

2x/2  8/2

|x| = 4

3 0
3 years ago
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