13+(14+x)=. please answer

What is 8/9 times 212

andrew-mc [135]

Calculator answer: 2,213.444444444444

8 0

3 years ago

Find the perimeter??? Anyone?!!!!

sweet [91]

Answer:

a.) 2(2x)+2(4x-3)

b.)2(2x)+2(4x-3)=42

Step-by-step explanation:

b.)2(2x)+2(4x-3)=42

distribute

4x+8x-3=42

add the like terms

12x-3=42

move the -3 by adding to both sides

12x=45

divide both sides by 12

12x/12=45/12

x=3.75

and to make sure it's right, plug x into the equation.

2(2(3.75))+2(4(3.75)-3)=42

now multiply/add/subtract everything.

2x2x3.75=15 (This was the 1st set of parenthesis)

2x4x3.75-3=27 (This was the 2nd set of parenthesis)

15+27=42

42=42

5 0

3 years ago

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

So

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

8 0

3 years ago

How many solutions does the following equation have?

Genrish500 [490]

Answer:

1 solution

Step-by-step explanation:

-6y + 13 + 9y = 8y - 3

=> 3y - 8y = -3 - 13

=> -5y = -16

=> y = 16/5

so y= 16/5 or 3.20

4 0

4 years ago

Lemma 2.3.2 (Multiplication is commutative). Let n,m be natural питbers. hen n x m = mхп.

Paraphin [41]

Answer:

Multiplication is commutative.

Step-by-step explanation:

Let n,m be two natural numbers.

We have to show that $n\times m=m\times n$

We will prove this by induction

For n = 1, we have $n\times 1 = 1\times n = n$ , which is true.

Let the given statement be true for n-1 natural numbers, that is,

$(n-1)\times m = m\times (n-1)$

Now, we have to show that it is true for n natural numbers.

$nm = (n-1)m + m = m(n-1) + m$

which is equal to

$(m-1)(n-1) + (n-1) + m$

$= (m-1)(n-1) + (m-1) + n$

$= n(m-1) + n$

$= (m-1)n + n$

$= mn$

Hence, by principal of mathematical induction, the given statement is true for all natural numbers.

6 0

3 years ago