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3 years ago

87.125 is it rational or irrational? Explain how.

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

6 0

Answer:

87.125 is rational

Step-by-step explanation:

it is a rational number because it can be represented as a fraction

Bond [772]3 years ago

3 0

87.125 is a rational number

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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

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

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

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

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

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

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

8 0

3 years ago

N a game show, a contestant randomly draws a chip from a bag and replaces it. The theoretical probability of drawing a winning c

erica [24]

Answer:

I would expect 6 contestants to draw a winning chip each.

Step-by-step explanation:

Theoretical probability is basically = Number of successful outcomes/Number of possible outcomes.

Since the theoretical probability of drawing a winning chip is 3(winning chips)/10(total chips), if there are 9 winning chips in the bag, we need to first calculate the total number of chips in the bag using the principle of proportion.

Let's call the total number of chips in the bag, "x".

3/10 = 9/x

Cross multiplying:

3x = 90

x = 90/3

x = 30 chips

There is a total of 30 chips in the bag.

Now, if there are 9 winning chips in a bag that contains 30 chips altogether and 30 contestants are to draw one chip each from the bag, I would expect 9 contestants out of the 30 contestants that drew chips from the bag to draw winning chips.

Then if each of the 20 contestants are to draw a single chip from the bag of 30 chips, then the number of contestants that I would expect to draw a winning chip is:

30 contestants----------9 winning chips

20 contestants----------- ? winning chips

20/30 × 9

= 180/30

= 6 winning chips to be drawn by 6 different contestants.

Therefore the number of contestants that I would expect to draw a winning chip from the bag is 6

7 0

3 years ago

Luis is proving that the sum of the

poizon [28]

Answer:

Step-by-step explanation:

4. m < 1 + m < 4 + m < 5 = 180

6 0

3 years ago

What is 3/8 + 2/3 = ______ + 3/8 help now asap pls

Colt1911 [192]

(let x represent the blank)

3/8 + 2/3 = x + 3/8
25/24 = x + 3/8
subtract 3/8 from both sides of the equation
2/3 = x

6 0

3 years ago

Read 2 more answers

Help please :( help me :)

sp2606 [1]

Answer:

-2/3

Step-by-step explanation:

We are trying to find the slope given two points

m = ( y2-y1)/(x2-x1)

= ( -1-3)/( 2- -4)

= ( -1-3)/( 2+4)

-4/6

-2/3

5 0

3 years ago