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2 years ago

Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers

Mathematics

1 answer:

grigory [225]2 years ago

5 0

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

$\mathbf{n = 10}$ --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

1st guess = 1/10
2nd guess = 1/9
3rd guess = 1/8

So, the required probability is:

$\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}$

$\mathbf{Pr = \frac{1}{720} }$

Hence, the probability that Jake's guesses are correct is 1/720

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago

Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure

rosijanka [135]

Answer:

x = 45, y = 5

Step-by-step explanation:

It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,

2x + 20y - 10 =90

2x+20y = 100

x + 10y = 50

And

2x = 20y-10

x = 10y -5

x - 10 y = -5

Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:

x + 10y =50

x - 10y = -5

------------------

x = 45

Therefore, the value of y after substitution of the value of x in one of the equations will be:

90 = 20y - 10

20 y = 100

y = 5

Hence, the required value of x and y are 45 and 5 respectively.

4 0

3 years ago