A computer is sold for a certain price and then its value changes exponentially over time.

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

One year the price of wheat was $8.87 the next year the price was $9.60 route is the price per bushel of wheat for each year to

Nostrana [21]

<em>I think you mean this right Both are $10.00</em>

8 0

3 years ago

What is the equation if this line? (3,6) (-3,-6)

laila [671]

The answer is Y=2x

Hope I helped

3 0

4 years ago

Use the elimination method to solve the system of equations. Choose the

hichkok12 [17]

Answer:

the ordered pair is (2,-1)

Step-by-step explanation:

We need to solve the system of equations using elimination method

12x - y = 25 eq(1)

9x + y = 17 eq(2)

Adding eq(1) and eq(2)

12x - y = 25

9x + y = 17

___________

21x = 42

x = 42/21

x= 2

Now, putting value of x in equation 1

12x - y = 25

12(2) -y = 25

24 -y = 25

Adding -24 on both sides

24 -y-24 = 25-24

-y = 25-24

-y = 1

Multiply both sides by -1

y = -1

the value of x = 2 and y = -1

So, the ordered pair is (2,-1)

5 0

3 years ago

Read 2 more answers

How do you find the fist step to solving the system of equations x+y=8 and 3x-2y=-6

Whitepunk [10]

Answer:

The first stpe in solving this system of equations is finding either X or Y in terms of the other variable. Ex: x = 8 - y or y = 8 - x

Step-by-step explanation:

When faced with a system of equations problem, you need to find one variable at a time. To do this, you need to eliminate one of the variables from one of the equations. I used x + y = 8 because that was simplier to find one of the variables from. From there, you can substitute that in for the variabel in the secone equation.

3x - 2y = -6

3x - 2(8 - x) = -6

3x - 16 + 2x = -6

5x - 16 = -6

5x = 10

x = 2

Than you can use that and plug it back into one of the original equations to find the other variable.

x + y = 8

2 + y = 8

y = 6

4 0

2 years ago