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3 years ago

Find an irrational number and rational number between 5.2 and 5.5

2 answers:

alexandr1967 [171]3 years ago

8 0

rational number between 5.2 and 5.5 is 53/10 (cause 53/10 = 5.3)

irrational number between 5.2 and 5.5 is √29 (cause √29 = 5.385164....)

Harman [31]3 years ago

5 0

Step-by-step explanation:

Rational = 5.3

Irrational = 5.40400400040000....

You might be interested in

A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and

Dominik [7]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

$95\%$ Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

$= \frac{228}{275}\\\\ = 0.829$

$\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})$

$= 1.96 \times \sqrt{(0.829 \times \frac{0.171}{275})} \\\\= 1.96 \times 0.023 \\\\= 0.045$

Lower $95\%$ Confidence interval = p - error margin $= 0.829 - 0.045 = 0.784$

Upper $95\%$ Confidence Interval = p + error margin $= 0.829 + 0.045 = 0.874$

So, $95\%$ Confidence Interval $= ( 0.78 , 0.87 )$

4 0

2 years ago

What is the greatest whole number that is less than ( 5\2)^3 divided by (3\4)^2

12345 [234]

First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8

then work out (3/4)² by squaring both the numerator and denominator to give: 9/16

then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.

5 0

3 years ago

How many hours and minutes is it from 10:55 p.m. on Friday to 9:35 a.m. on Saturday?

Grace [21]

Answer:

10 hours and 40 minutes

Step-by-step explanation:

1 hour 5 minutes + 9 hours 35 minutes

Hope this helps! Have a great day!

8 0

3 years ago

Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.

BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

$A_T=2A_1+2A_2$ =2×96 in²+2×216 in²=624 in²

8 0

2 years ago

Write the equation of the line in fully simplified slope-intercept form.

PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

${ \tt{y = mx + c}}$

m is slope
c is y-intercept

 Slope (m):

${ \tt{m = \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\ \\ { \tt{m = \frac{4}{ - 6} }} \\ \\ { \tt{m = - \frac{2}{3} }}$

 y-intercept (c):

${ \tt{y = mx + c}}$

consider point (0, -5)

${ \tt{ - 5 = c}} \\ { \tt{c = - 5}}$

Equation:

${ \boxed{ \tt{y = - \frac{2}{3} x - 5}}}$

8 0

1 year ago