Write an equation in point-slope form for the line through the given point with the given slope. (-10, -6); m = -5/8

A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

A car's speedometer has a percent error of 5%. The speedometer currently shows that the car is traveling at a speed of 60 mph.

Minchanka [31]

Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = $\dfrac{\textrm actual value - \textrm measured value}{\textrm measured value}$ × 100

So, $\frac{5}{100}$ = $\frac{x - 60}{60}$

or, $\frac{5}{100}$ × 60 = x - 60

Or, 3 = x - 60

∴ x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

8 0

3 years ago

What is the mode of the following data values?

lozanna [386]

The mode of the following data values would be 21.
mode is usually a number that is repeated more than once, and in this case, 21 appears twice.
your answer is c

7 0

3 years ago

Read 2 more answers

5x + 3y = 7<br> 4x + 5y = 3<br> How do I solve

wel

Answer:

9x+8y

Step-by-step explanation:

first you would take your liked terms and combine them.

1. 5x+4x=9x

2. 3y+5y=8y

3 0

3 years ago

Read 2 more answers

A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distanc

maks197457 [2]

Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation $d=65t$ , where represents the distance, in miles, that the car travels at this speed in<em> t</em> hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

7 0

3 years ago