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Svetllana [295]
3 years ago
7

2.2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun

onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 4 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

9/19

Step-by-step explanation:

Number of slots  =38

red balls R  = 38, black balls B = 18, green balls G = 2

we want to calculate

P( Red ball/ previous 4 spins are red) = P( red ball)       [because each spin is independent to other]

= 18/38 = 9/19

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A researcher studied the radioactivity of asbestos. She sampled 81 boards of asbestos, and found a sample mean of 193.2 bips, an
Ksivusya [100]

Answer:

a) Confidence interval is (182.86,203.54).

b) (i) Yes, 200 bips is a true mean as it lie in the interval.

(ii) No, 210 bips is not a true mean as it doesn't lie in the interval.

Step-by-step explanation:

Given : A researcher studied the radioactivity of asbestos. She sampled 81 boards of asbestos, and found a sample mean of 193.2 bips, and a sample standard deviation of 49.5 bips.

To find : (a) Obtain the 94% confidence interval for the mean radioactivity. (b) (i) According the interval that you got, is 200 bips a plausible value for the true mean? (ii) What about 210 bips?

Solution :

a) The confidence interval formula is given by,

\bar{x}-z\times \frac{\sigma}{\sqrt{n}}

We have given,            

The sample mean \bar{x}=193.2 bips

s is the standard deviation \sigma=49.5 bips

n is the number of sample n=81

z is the score value, at 94% z=1.88

Substitute all the values in the formula,

193.2-1.88\times \frac{49.5}{\sqrt{81}}

193.2-1.88\times 5.5

193.2-10.34

182.86

Confidence interval is (182.86,203.54).    

b) (i) According the interval 182.86

200 bips a plausible value for the true mean as it lies in the interval.

(ii) 210 bips not lie in the confidence interval so it is not a true mean.

3 0
4 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-x-56%5C%5C" id="TexFormula1" title="x^{2} -x-56\\" alt="x^{2} -x-56\\" align="a
Morgarella [4.7K]

Answer:

(x - 8)(x + 7)

Zeroes: x = 8, x = -7

Step-by-step explanation:

Find factors of -56 that add to -1.

-8 and 7

The factored form is:

(x - 8)(x + 7)

The zeroes for this polynomial are x = 8 and x = -7

4 0
3 years ago
What is the volume of a cube that has a side length of 16 yd?
Alex Ar [27]
The Formula Of Volume Is : 
V = L*W*H. So, Lets Plug In The Known Values. 
V = 16*16*16. 
16*16 = 256. 
256 * 16 = 4096 yr^3. This Is The Volume. Any Further Questions?

4 0
3 years ago
Decide if the random variable x, is discrete or continious: x represents the temperature in degrees Fahrenheit on July 4th in Ju
soldi70 [24.7K]

Answer:

Continuous

Step-by-step explanation:

Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.

4 0
2 years ago
I need help with my math homework.
Ket [755]

4. We can estimate the price per pound by rounding 14.5 up to 15, and rounding $25.52 to to $26. We can estimate that the price per pound is around $1.73

5. The price per pound of the beans is $1.76. To find the unit rate, you divide the price by the amount of the item. 25.52/14.5 = 1.76

6. Jeff walked 4.2 hours in total. 8.84/3.4 = 2.6

2.6 + 1.6 = 4.2

7 0
3 years ago
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