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3 years ago

What is the median of the following numbers: 120, 35, 42, 119, 120.5, 99, 72 ? *

Mathematics

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

the median is 99

Step-by-step explanation:

(lowest) 35, 42, 72, 99, 119, 120, 120.5 (highest)

the median is the middle #

the middle # is 99

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What does 5 1/2 + 3 1/4 + 3 + 4 1/2 + 3 +3 2/5 equal also this is for Middle School not high school

nekit [7.7K]

Answer:

I think it's 22.65 but I'm not for sure

4 0

3 years ago

Find the equation of the tangent line to the curve at the given point?

Over [174]

Answer:

The equation of the tangent line

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)$

Step(ii):-

The slope of the tangent line

$\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x$

$(\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}$

We will use trigonometry formulas

$Cosec(\frac{\pi }{4} ) = \sqrt{2}$

$sec(\frac{\pi }{4} ) = \sqrt{2}$

$Cot(\frac{\pi }{4} ) = 1$

Now the slope of the tangent

$\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1$

$\frac{dy}{dx} =-\frac{\pi }{2} +1$

Step(iii):-

Given

Substitute $x=\frac{\pi }{4}$ in y = x cot (x)

$y = \frac{\pi }{4} cot (\frac{\pi }{4} )$

$y = \frac{\pi }{4}$

The point of the tangent line $(x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )$

The equation of the tangent line

$y - y_{1} = m ( x - x_{1} )$

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

6 0

4 years ago

If the circumference of a circle is 25.12 in^2 then what is the diameter

Fynjy0 [20]

200.85in

This is because
25.12^2 = 631
631/π = 200.85

Therefore the diameter would be 200.85in

4 0

3 years ago

Triangle ABC, with vertices A (3,0), B (2,4), and C (4,2)undergoes a transformation to form triangle ABC with vertices A(3.0), B

aliina [53]

Answer:

1st blank: X axis reflection

2nd blank: Y axis reflection

Step-by-step explanation:

If you drew the first triangle and then the second triangle on a piece of paper, you would notice that it would reflect across the corresponding axis.

So the solution is to just draw it out.

4 0

3 years ago

the cost of a mobile is set Rs.18000.If mrs.Sharma purchased it with 13% VAT. how much did she pay for it.

Klio2033 [76]

Answer:

Rs.20340

Step-by-step explanation:

Cost of the mobile(without VAT) = Rs. 18000

VAT= 13%*18000

=13/100*18000

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= Rs.2340

Hence, Cost of the mobile phone with VAT= Rs.18000+ Rs. 2340

= Rs.20340

3 0

3 years ago