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3 years ago

Find all the solutions for the equation x4 = 16

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Answer:

x=4

Step-by-step explanation:

16 divided by 4 is 4

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In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present

saul85 [17]

Answer: $0.4065$

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

Number of students are randomly selected = 3

Then, the number of ways to select 3 students from 25 students :-

$^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300$

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

$^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935$

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

$\dfrac{935}{2300}=0.40652173913\approx0.4065$

8 0

3 years ago

Segment addition postulate<br> What’s the answer?

Free_Kalibri [48]

$\bf Step-by-step~explanation:$

Keep in mind: The entire line segment (VX) is equal to 14.

$\bf Step~1:$

Let's see how the line segment looks like first.

Line segment VX is 14 units long.

______________

V X

W is on the line segment somewhere, and VW is equal to 3.

3 ?

______________

V W X

$\bf Step~2:$

We have to solve for the <em>?.</em> Let's put ? as x. So now we are solving for x.

We have to set up our equation like this:

x + 3 = 14

Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.

14 - 3 = 11

3 11

______________

V W X

$\large\boxed {\bf Our~final~answer: ~WX=11}$

3 0

2 years ago

If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,

Murljashka [212]

Answer:

x8 = 21 and x9 = 34

Step-by-step explanation:

The Fibonacci numbers are

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,...

7 0

3 years ago

Show that sinxtanx=1-cos^2x/cosx

yawa3891 [41]

LHS: = $\sin x \tan x = \frac{\sin x \sin x }{\cos x} = \frac{\sin^2 x}{\cos x}$ (using $\tan x = \frac{\sin x}{\cos x}$ )

We know $\sin^2x + \cos^2x = 1 \Rightarrow \sin^2x=1-\cos^2x$ so we can replace the sin²x in the LHS expression as follows

$\frac{\sin^2x}{\cos x} = \frac{1-\cos^2x}{\cos x}$ which is the RHS.

7 0

2 years ago

Which two shapes can be classified as parallelograms?

Deffense [45]

Actually there are three shapes that can be classified as a parallelogram.

Square, Rectangle, and Rhombus

3 0

3 years ago

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