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VMariaS [17]
3 years ago
6

Take a look at the following set of data: 5, 12, 24, 19, 1, 32, 194. What word describes the data point 133?

Mathematics
2 answers:
FrozenT [24]3 years ago
5 0

Answer:

Outlier!! I know it sounds like a cat poster but it's true

Step-by-step explanation:

Naya [18.7K]3 years ago
5 0

Answer:

median

Step-by-step explanation:

it means average which the average of the set will give you 133

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A line that includes the points ( - 4, - 3) and ( - 3,S) has a slope of 3. What is the value of s?
Illusion [34]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -3) and (-3, s) and the slope m = 3. Substitute:


6 0
3 years ago
Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What i
Bad White [126]

Answer:

The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

Step-by-step explanation:

The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.

The random variable <em>T</em> is exponentially distributed.

The probability density function of a an exponential random variable is:

f(x)=\lambda e^{-\lambda x};\ x>0

The average time a customer spends in a bank is <em>β</em> = 10 minutes.

Then the parameter of the distribution is:

\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10

An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.

That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)

So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is:

P (X > 15 | X > 10) = P (X > 5)

\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5}  {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5}  {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5}  {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065

Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

8 0
3 years ago
Which of the following are ordered pairs for the equation y = 1/8x + 11
Anna11 [10]

Answer:

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)  

(2,  45/4)

Step-by-step explanation:

y = 1/8x + 11

for this equation....

y = (1/8) x + 11

let x = 0  get

y = 0 + 11 = 11

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)   because    y = 1/8 + 11 = 1/8 + 88/8 = 89/8

(2,  45/4)

3 0
3 years ago
The probability of spinning a 4 on a spinner is 0.125.If you spun 150 times approximately how many times would the spinner land
Ksivusya [100]

Answer:

19

Step-by-step explanation:

To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.

6 0
3 years ago
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30mm is the missing angel 
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