All categories

3 years ago

What is the rational number between -1/6 and -2/6

1 answer:

6 0

Actually, there are infinitely many rational numbers between them, but let's take the one "in the middle".

so the number between 1 and 2 is 1.5

so the number between them would be

$-\frac{1.5}{6}$

but since this is not a proper way of writing it, we should multiply both sides by something to get rid of the Point, let's say we multiply it by 2.

$-\frac{3}{12}$

and this is an example of a rational number between-1/6 and -2/6

You might be interested in

Which is bigger 0.6 or 0.60

Lilit [14]

They're equal the 0 doesn't have to be added but it can be added by choice

7 0

4 years ago

Read 2 more answers

Given a standard day, at what altitude is the true airspeed of an aircraft approximately twice of what the airspeed indicator re

Yakvenalex [24]

Answer:

40000ftMSL

Step-by-step explanation:

We know that airspeed is measured using a pilot tube

And the air pressure is a function of density given as

Pressure= 1/2 xdensityx V²

So at 40,000ftMSL

Is this is replaced for V in the equation then the density of air will be 1/4 that of sea level

So since we are deriving velocity from pressure and pressure is 1/4 so the velocity Will be half of its pressure since velocity is squared from The equation above

5 0

4 years ago

A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small

True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0

3 years ago

(10x+8)°<br> (9x+18<br> x=8<br> (12x-10)

Brrunno [24]

Answer:

Step-by-step explanation:

(10x + 8)^0 = 1

(9x+18) if x = 8 = 9*8 = 72 + 18 = 90

12x - 10

12 * 8 = 96 - 10 = 86

(1) ( 90) ( 86)

if you need to multiply them them do so

8 0

3 years ago

PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must

Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3><u>Solution:</u></h3>

Given that

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

$\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

$\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}$

$=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }$

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

$=0.12 \times 1347.5833=\$ 161.71$

8 0

3 years ago