The population of a country in 2015 was estimated to be 321.3 million people. This was an increase of ​21% from the population in 1990. What was the population of the country in​ 1990?

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is [tex]\frac{3}{4}[/tex] rds the distance from A to B

The total distance is |16 - 8| = 8  

The distance between point AB is 8 units.

[tex]\frac{3}{4}[/tex] of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

Answer:

follows are the solution to this question:

Step-by-step explanation:

Please find the correct question in the attached file:

The formula for calculating the Confidence interval of proportion:

[tex]\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\[/tex]

      [tex]=\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54[/tex]

The number of learners with access to working at home on a computer:

[tex]= 0.54 \times 300 \\\\=162[/tex]

Lower limit =0.48

upper limit = 0.60

[tex]\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\[/tex]

                          [tex]=\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06[/tex]

Answer:

14

Step-by-step explanation:

umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14

Answer: well it depends on what comes first but 9

Step-by-step explanation:

Answer:

a) -2, c) 0.5, e) 14

Step-by-step explanation:

The domain is the x value, which is the number of packages sold in this case.

a) -2: You can't sell a negative number of packages

c) 0.5: You can't sell half a package

e) 14: The company only has 12 packages

Answer:

Step-by-step explanation:

When you add integers you have either positive integers or negative integers. When you add positive integers, you just add normal. When you have negative integers, you have to see if the the larger number is positive or negative that will tell you if your answer is either negative or positive. Then you turn the negative into a positive then change the addition sign to a subtraction sign then solve.

Answer:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

Step-by-step explanation:

Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.

This situation can be represented by the following absolute value inequality:

[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].

The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.

To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.

First apply the rule |x| = y → x = [tex]\pm[/tex]y

|x-96| = 1/4

x - 96 = [tex]\pm[/tex]1/4

x = [tex]96 \pm 1/4[/tex]

(These are just the minimum, and maximum sizes)

Now with a less than or equal to, the solutions are now everything included between these two values.

Therefore:

[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]

With less than inequalities, you must have the lower value on the left, and the higher value on the right.

If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:

[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]

This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.

Answer:

In first box: top left __7, in top right __4, on left top __9, left bottom __6.

In second box: top left __7, in top right __3, on left top __3, left bottom __5.

Step-by-step explanation:

Answer:

Here you go! I believe this is correct.

Answer:

he should have bought 4-5 unless he under paid but i'd say he bought 4 polo shirts

Step-by-step explanation:

Answer:

11.7 hours

Step-by-step explanation:

According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.

Answer:

-1

Step-by-step explanation:

When you make the number line, go to the middle then move left once. Then mark that  " -1 " and you put the dot over that.

It's hard to explain how to write number lines.

Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.

Mark brainliest if possible please :)

Answer:

3.78+.75b=c

Step-by-step explanation:

Answer:Best corral has a width and length of 50 feet, enclosing an area of 2500 square feet. Let's calculate the width (W) of the rectangle as a function of it's length (L). So we have W = (200 - 2*L)/2 W = 100 - L Now the area of the rectangle is A = WL Substitute the equation for W. A = (100 - L)L A = 100L -L^2 Let's make an initial guess of 40 ft and add an error component of e. So we'll use the length of (40+e) and see what we get. A = 100L -L^2 A = 100(40+e) - (40+e)^2 A = 4000 + 100e - (1600 + 80e + e^2) A = 4000 + 100e - 1600 - 80e - e^2 A = 2400 + 20e - e^2 Now looking at those 2 "e" terms is interesting. It's pretty obvious that any negative value of e will cause those term to result in a value less than 0, and decrease the available area. Also any value of e greater than 20 will also cause those 2 values to sum to a negative value and decrease the area. But a value of e in the range of 0 to 20 will result in a positive value and cause the area enclosed to be larger. So it's obvious that 40 feet isn't optimal. Let's pick the middle of the e values that result in something positive (0+20)/2 = 10 and add that to our initial guess, getting a length of 50 and replace length by (50+e) and see what happens. A = 100L -L^2 A = 100(50+e) -(50+e)^2 A = 5000+100e -(2500+100e + e^2) A = 5000+100e - 2500 - 100e - e^2 A = 2500 - e^2 This looks quite promising. Any non-zero value of e will result in the area enclosed being smaller. So the idea value of e is 0. That means that the idea length of the rectangle is 50 feet. And that makes the width 50 feet as well. Mind, this problem could have been also solved using the first derivative of the equation A = 100L -L^2, which would have been A' = 100 - 2L, and then solving for 0. But I did this problem to demonstrate that you don't need to resort to calculus for every maximum type of problem.

Step-by-step explanation:

Answer:

y=11x

Step-by-step explanation:

EX:

11(2)=22

Answer:

45

Step-by-step explanation:

To answer this question we will have to use the combination formula.

C(n,r) = n!/(n-r)!r!

n = population set = 10

e = sample set = 8 questions

Inserting into the formula we have:

10!/(10-8)!8!

= 3628800/2x40320

= 3628800/80640

= 45

So in conclusion, we have 45 combinations in existence that would yield 8 correct questions

Answer:

6 units

Step-by-step explanation:

HOPE THIS HELPED

Answer:

4

Step-by-step explanation:

Thank you so much!! really appreciate it, I just need a few more points to become so thank you so much again!!:)

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

The answer is "(8x + 6) units".

Step-by-step explanation:

Formula of perimeter is:

[tex]\to \bold{P=2 \text{(Length +width)} }[/tex]

       [tex]=2((3x+10)+(x-7))\\\\=2(4x+3)\\\\= 8x+6[/tex]

Answer:

not sure what you need but I would be happy to help

Answer:

The answer is below

Step-by-step explanation:

The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm

Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:

r/h = radius of tank/ height of tank

r/h = 400/1200

r = h/3

[tex]\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\[/tex]

[tex]\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min[/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

hope this helps! good Night!!

Answer:

(0,0)

Step-by-step explanation:

The x-intercept is what the x value is when y = 0, and on this chart, when y=0, x=0 as well.

Answer: a = -2, b = -2, c = 1.

Step-by-step explanation:

We know that:

y = a*x^2 + b*x + c.

Then:

y' = 2*a*x + b

y'' = 2*a.

Then we can write the equation:

y′′ + y′ − 2y = 4x^2.

as:

2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2

To solve this, the first step is moving all the terms to the same side:

2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0

Now let's group terms with the same power of x.

(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0

Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:

-4 - 2*a = 0

-2*b + 2*a = 0

-2*c + b = 0

From the first equation:

-4 - 2*a = 0

-4 = 2*a

-4/2 = a

a = -2

And from the second equation:

-2*b + 2*a = 0

2*a = 2*b

a = b

b = -2.

From the third equation we have:

-2c + b = 0

-2c = b

c = b/-2 = -2/-2 = 1.

c = 1

Then our equation is:

y = -2*x^2 - 2*x + 1.

Answer:

1.)  5/1

2.) -7/8

3.) -4/2

Step-by-step explanation:

The formula of slope m= [tex]\frac{rise}{run}[/tex]

1.) rise=5 run=1

2.) rise=7 run=-8

3.) rise=4 run=-2

Answer:

[tex]S = (2,5)[/tex]

Step-by-step explanation:

Given

[tex]T = (0,3)[/tex]

[tex]Midpoint (M) =(1,4)[/tex]

Required

Determine the other end point (S)

Midpoint is calculated as thus:

[tex]M(x,y) = (\frac{S_x + T_x}{2},\frac{S_y + T_y}{2})[/tex]

This gives:

[tex](1,4) = (\frac{S_x + 0}{2},\frac{S_y + 3}{2})[/tex]

[tex](1,4) = (\frac{S_x}{2},\frac{S_y + 3}{2})[/tex]

Multiply through by 2

[tex]2 * (1,4) = (\frac{S_x}{2},\frac{S_y + 3}{2}) * 2[/tex]

[tex](2,8) = (S_x,S_y + 3)[/tex]

By comparison:

[tex]S_x = 2[/tex]

[tex]S_y + 3 = 8[/tex]

[tex]S_y = 8 - 3[/tex]

[tex]S_y = 5[/tex]

Hence:

The coordinates of S is

[tex]S = (2,5)[/tex]

Answer:

whichever paper towel observer's the most juice is the best brand

Answer:

c 730

Step-by-step explanation:

because the 7 in 730 is one digit to the left

Answer:

C. 730

Step-by-step explanation:

The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.