In a right triangle, a = 14.2 cm and b = 13.9 cm. Find c. Round to the nearest tenth.

For any set of n measurements, the fraction included in the interval y − ks to y + ks is at least 1 − 1 k2 . This result is know

djverab [1.8K]

Answer:

The interval [2.5, 12.5]

Step-by-step explanation:

Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least

$100(1-\frac{1}{k ^2 })\%$

of the data will lie within k standard deviations of the mean.

We need then to find a k greater or equal than 1 such that

$100(1-\frac{1}{k ^2 })\%= 75\%$

or the equivalent equation

$(1-\frac{1}{k ^2 })= 0.75$

Finding the value of k

$(1-\frac{1}{k ^2 })=0.75\Rightarrow \frac{1}{k^2}=0.25\Rightarrow k^2=\frac{1}{0.25}\Rightarrow k^2=4\Rightarrow k=2$

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval

[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]

6 0

2 years ago

Which expressions are equivalent to the one below? Check all that apply.

V125BC [204]

Answer:

Step-by-step explanation:

The given expression is $10x$ .

We have to check which of he given options on simplification gives the same given expression.

(A) The expression is:

= $\frac{50x}{5x}$

= $10$

which is not equivalent to the given expression, thus this option is incorrect.

(B) The expression is:

= $10(10x)-1$

= $100x-1$

which is not equivalent to the given expression, thus this option is incorrect.

(C) The expression is:

= $10(10x)+1$

= $100x+1$

which is not equivalent to the given expression, thus this option is incorrect.

(D) The expression is:

= $\frac{50x}{5}$

= $10x$

which is equivalent to the given expression, thus this option is correct.

(E) The expression is:

= $(\frac{50}{5})x$

== $10x$

which is equivalent to the given expression, thus this option is correct.

(F) The expression is:

= $x^5$

which is not equivalent to the given expression, thus this option is incorrect.

8 0

3 years ago

Read 2 more answers

Find the complete factorization of the expression.

taurus [48]

It well be B.) they all have a factor of 2

7 0

3 years ago

Read 2 more answers

Michael and his brother eric both live 5 miles from the park. If michael rides his bike at an average of 12 mph and eric rides h

ExtremeBDS [4]

Answer:5 min I think

Step-by-step explanation: 5 min I think

6 0

3 years ago

Verify the identity cos quantity x plus pi divided by two = -sin x

In-s [12.5K]

Answer:

Identity is verified.

Step-by-step explanation:

We have to verify the identity $cos(x+\frac{\pi }{2}) = (- sinx)$

To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.

In this identity we take the left hand side first

$cos(x+\frac{\pi}{2})$

$=cosx\times cos(\pi/2)-sinx\times sin(\pi/2))$ (as we know cos(a+b) = cosa×cosb-sina×sinb)

$= cosx\times0-sinx\times1$

$= 0-sinx$

= - sinx ( Right hand side)

Hence identity is proved.

6 0

3 years ago