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IceJOKER [234]
2 years ago
5

Liam has this spinner.

Mathematics
1 answer:
Juliette [100K]2 years ago
6 0
3/8

There is 8 sections of the spinner and 3 are red. No need to simplify
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Find the slope of the line
lakkis [162]

Answer:

2

Step-by-step explanation:

Rise / Run

= 4/2

= 2

8 0
3 years ago
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in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
Equivalent this problem -3(4 – 2g) – 6?
polet [3.4K]

Answer:

-12 + 6g - 6

Step-by-step explanation:

6 0
2 years ago
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Find g(x), where g(x) is the translation 1 unit right of f(x)=x2.
jeyben [28]

Step-by-step explanation:

this is the answer (y2 - y1) = m (x2 - x1)

4 0
2 years ago
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A swimming pool holds 540,000 liters of water. The pool has two drain pipes. When the pool is completely full, the first pipe al
tankabanditka [31]

Answer: 72 minutes

Step-by-step explanation:

Pipe A can empty the water in 180 minutes = (180/60) =3 hours

Pipe A does 1/ 3 of the job in 1 hour.

Pipe B can empty the water in 120 minutes = (120/60) = 2 hours.

Pipe B does 1/ 2 of thejob in 1 hour.

Together they will do:

1/ 3 + 1/ 2 = 5/6

Together, both pipes will do 5/ 6 of the job in one hour.

To get the total time to completely drain the water will be:

= 60 ÷ 5/6

= 60 × 6/5

= 12 × 6

= 72 minutes

It takes 72 minutes to empty the pool.

3 0
3 years ago
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