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3 years ago

find range and standard devation of the following set of data. 199,203,194,205,193,212,173 the range is___________.

Mathematics

1 answer:

VLD [36.1K]3 years ago

4 0

Range is 39 and standard deviation is 11.5

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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

5 0

2 years ago

Write and solve an inequality using the information about Noah.

Diano4ka-milaya [45]

Answer:

50 - 1.65x ≥ 15

Step-by-step explanation:

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3 years ago

Can someone help me with this geometry question asap, thanks!

ivann1987 [24]

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Step-by-step explanation:

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6 0

3 years ago

I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice o

Zigmanuir [339]

Answer:

1234567

Step-by-step explanation:

7 0

3 years ago

The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual

nordsb [41]

The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual length and width of Bedroom 3 in feet?

Bedroom 1 w=9.17; l= 11 in

Bedroom 2 w=7.33 in; l= 12.83

Bedroom 3 w= 11 in; l= 14.67 in

______________________________________

___________

2.75 inches : 3 or 2.75 in / 3 feet

________________

Can you see the updates?

______________

Bedroom 3 w= 11 in; l= 14.67 in

11 in * 3 feet / 2.75 in = 12 feet

14.67 in 3 feet / 2.75 in = 16 feet

_________________________

Answer

Bedroom 3 w= 12 ft ; l= 16 ft

3 0

1 year ago