​Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in​ dormitories, how many students are there in the​ college?

Answer:

a) CI ( 99% )  = ( 145,45 : 162,55)

b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Step-by-step explanation:

a) CI = 99 %       α = 1%   α = 0,01

From z-table     z(c)  ≈ - 2,325    |z(c)| ≈ 2,325

CI = ( μ₀ ± z(c) * σ/√n )

CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )

CI = ( 154 -  8,55  ;  154 + 8,55

CI ( 99% )  = ( 145,45 : 162,55)

b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Answer:

1

best answer ever be amazing

Answer:

(1, - 1)

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (1, - 1)

Then (1, - 1 ) is the solution to the system.

Answer:

[tex]x = \frac{20}{ \sqrt{3} } \\ y = \frac{40}{ \sqrt{3} } [/tex]

Step-by-step explanation:

[tex]for \: \: x \\ \tan(60) = \frac{20}{x} \\ \sqrt{3} = \frac{20}{x} \\ x = \frac{20}{ \sqrt{3} } \\ \\ for \: y \: \\ \sin(60) = \frac{20}{y} \\ \frac{ \sqrt{3} }{2} = \frac{20}{y} \\ \sqrt{3} \: y = 20 \times 2 \\ y = \frac{40}{ \sqrt{3} } [/tex]

I hope that is useful for you :)

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

[tex]f(x)=x^4+5x^3-3x-15[/tex]

[tex]q(x) = (x^3-3)[/tex]

We need to find the polynomial. We know that, Euclid division lemma states that

[tex]f(x)=q(x)\times g(x)+r(x)[/tex]

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]

So, the polynomial is (x+5).

Answer: its C

Step-by-step explanation: i just took the test

Answer:

1.2

Hope it helps :)

[tex]\frac{24}{25}*\frac{5}{4}\\\\\\=\frac{6}{5}[/tex]

Answer:

-4.91 feet

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = Total change in altitude / total time

378 / 77 = 4.91

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

Answer:

B, [tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Diagonals of a square are congruent so AC= 4

using pythagorean theorem we can then do [tex]x^{2} +x^{2}[/tex]=[tex]4^{2}[/tex]

[tex]2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}[/tex]

Then for perimeter we times the [tex]2\sqrt{2}[/tex] by 4 and get

[tex]8\sqrt{2}[/tex]

Hope this helps and please mark brainliest!!

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

The reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

the angle between the terminal side of the angle and the x-axis.

For the first quadrant:

The reference angle = 258 - 180 = 78°

For the second quadrant:

= 180 - 78 = 102°

For the third quadrant:

= 78 + 180

= 258°

For the fourth quadrant:

= 360- 78

= 282°

Thus, the reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

Learn more about the reference angle here:

brainly.com/question/16210309

#SPJ2

Answer:

4 2/3 cups

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

sqrt{17} > sqrt{11}

Answer: >

Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.

Answer:

option a is the answer to the question

Answer:

a= 126 degrees

b= 54 degrees

r= 54 degrees

s= 126 degrees

Step-by-step explanation:

Answer:

Brian will have $12 dollars left.

Step-by-step explanation:

30 - 18 = 12

Answer:

84.82

Step-by-step explanation:

π·32·3≈84.823

Answer:

The volume of a cylinder with a height of 3 and a radius of 3 is 84.823 or you could say 84.8.

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

If today is Wednesday, the probability of tomorrow being Saturday is zero.

Answer:

3n + 21

Step-by-step explanation:

3(n + 7)

3n + 21

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

Now, that really isn't complicated, right?

Answer:

Yes

Step-by-step explanation:

A triangle can have any side lengths as long as they all touch to make a triangle

Answer:

yes

Step-by-step explanation:

you just had to divide then subtract

Answer

let the triangle be supposed ABC

where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree

the base side of triangle is 6cm which means ;

By taking angle A as reference angle

Hypotenuse = AC = x(let)

perpendicular = BC

base = AB = 6 cm

    then by taking base and hypotenuse

b/h = AB/AC

or, cos (30 degree)= 6/ x

x =[tex]4\sqrt{x} 3[/tex] cm

that concluded that AC = [tex]4\sqrt{3}[/tex] cm

  Now,

by phythagorous theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]

Step-by-step explanation:

Answer:

X=25

Step-by-step explanation:

y+2=-7+2=5

[tex]5^{2} =25[/tex]