Which of the following numbers is irrational?
Select all that apply.

=======================================================

Explanation:

n = 20 is the sample size

p = 0.035 is the probability of selecting someone who is from multiple births (twins, triplets, etc)

Either someone is a twin/triplet/etc or they aren't. This two option nature is a strong implication we have a binomial probability.

The binomial probability formula is

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

where x is the number of successes and the n C x refers to the nCr combination formula.

We want to know the value of B(3), ie the value of B(x) when we have exactly x = 3 children from multiple births.

------------------

B(x) = (n C x)*(p)^x*(1-p)^(n-x)

B(3) = (20 C 3)*(0.035)^3*(1-0.035)^(20-3)

B(3) = (1140)*(0.035)^3*(0.965)^(17)

B(3) = 0.026673

There's roughly a 2.6673% chance of the 20 person sample having exactly 3 children who are from multiple births.

Side note: You can compute 20C3 = 1140 using the conventional nCr formula, or you can use Pascal's Triangle as an alternative route.

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3[/tex]

Answer:

15 times

Step-by-step explanation:

3 is one of the six numbers on a die.

The probability of rolling a 3 in one roll is [tex]\frac{1}{6}[/tex].

If you multiply it by 90, you get 15 times.

Answer:

C 15

Step-by-step explanation:

3 = 1/6

since there's 90 times

90/6 is equal to 90 x 1/6

90/6

= 15

Answer:

Q = 247

Step-by-step explanation:

From B.

2*Q + 471 = 931

2*Q= 494

Q = 247

The problem states that Q is two times bigger than P

P < 2*Q

471 < 2*247

471 < 494

Answer: The correct option is D

Step-by-step explanation:

Correct on edge 2022

Answer:

a) 17.6 ft

b) 81.8 mm

c) 9 cm

d) 12 in

Step-by-step explanation:

Use the formula: πd = circumference to solve this equation

so you need to double the radius to get the diameter.

a) 5.6π = 17.6 ft

b) 26π = 81.8mm

c) 56.5 / π = 18.0 cm / 2 = 9 cm

d) 75.4/ π = 24.0 cm / 2 = 12 in

Answer:

Triple the length, height and width

Step-by-step explanation:

Multiply 3x/Cube length, width, and height! (possibly?)

Answer:9

Step-by-step explanation: 30= 2n + 12

Subtract 1Subtract12 from both sides

Divide both sides by 2

Answer:

Step-by-step

Let us assume that the third leg is X. So, X^2 + 2^2 = 5^2.X^2 = 25 - 4.X^2 = 21.X = root 21.

a right triangle, hypotenuse=5 cm, one leg=2 cm, the other leg=xApplying the Pythagorean theorem:5^2=2^2+x^2, 25=4+x^2,x^2=25–4=21, x=sqrt(21), x=4,58 cmThe measurement of the other leg is 4,58 cm

Answer:

Step-by-step explanation:

Given that the diameter of the flower bed is 17 m and the width of the side walk is 2 m for a total out side diameter of 21 m.

Total Area is pi *(D/2)^2 = 346.4 m^2

Now subtract the area of the 17 m diameter flower bed for the area of the sidewalk alone. 346.4 - (pi*(17/2)^2 = 346.4 - 227.0 = 119,4 m^2

Answer:  119,4 m^2

Step-by-step explanation:

The equation is area = p times r^2

8 times eight times 3.14 =  119,4 m^2

Answer:

1. No

2. No

3. Yes

4. No

Hello! I'm here to help.

The answer is B. ✔

B. is correct because...

[tex]2.805 / 2.58 = 1.08[/tex]

[tex]0.46 / 0.406 = 1.13[/tex]

[tex]1.001 / 1.01 =[/tex] 0.99

That being said, the correct option is B.

Step-by-step explanation:

question not complete

do mark Brainliest

The amount of water to be added to the mixture to make it 45.5% water is 0.06.

Word problems in mathematics involve the interpretation of word problems into variables and setting an equation to solve those variables.

From the given information:

= (45.5 - 40.0)%

= 5.5%

= 0.055

= 0.06 to the nearest hundredth

Learn more about word problems here:

https://brainly.com/question/1781657

Answer:

Perimeter of a triangle is the length that borders a triangle, you would just have to add all the side length's up

Step-by-step explanation:

Answer:

€ 2932.54

Step-by-step explanation:

Rate of interest for income upto 12012 = 0.5 %

    Interest = 0.5% *12012

                  =0.05 *12012

                  = € 60.06

Rate of interest for income between 12012.01 to 19874 = 2%

    Interest = 2% * 19874

                  = 0.02 * 19874

                   =  € 397.48

Rate of interest for income between 19874.01 to 70044 = 4.5%

 Interest = 0.045 * 55000

               = € 2475

Anna's USC for the year = 60.06 + 397.48 + 2475

                                         = € 2932.54

Answer:

288

Step-by-step explanation:

(-2)x(-4)=8

(8)x(-6)=-48

(-48)x(-6)=288

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

Only one solution exists for the given equation.

A mathematical statement that demonstrates the equality of two mathematical expressions is a mathematical solution, which is the definition of an equation.

Here,

The mathematical equation given is,

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

By solving it,

0.75(x + 40) = 0.7(x + 20)

0.75x - 0.7x = 14 - 30

0.05x = -16

Therefore, the solution of x,

x = -16/0.05

x = 320

Hence,

Only one solution exists for the given equation.

To learn more about mathematical solution, click:

https://brainly.com/question/29536862

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given expression !

so let's start ~

[tex] \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} [/tex]

hope helpful :D

Answer:

-7+4√3.

Step-by-step explanation:

6-4√3 / 6+4√3     Multiply top and bottom by  6-4√3:-

=  (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)

= (36-24√3- 24√3+48) / (36-48)

= (36-48√3+48) / (-12)

= -3 +4√3 - 4

=  -7 + 4√3.

Answer:third option

Step-by-step explanation:

I just did it

Considering the situation described, the p-value for Amy's result is of 0.0203.

At the null hypotheses, it is tested if the mean is not greater than $50,000, that is:

[tex]H_0: \mu \leq 50000[/tex]

At the alternative hypotheses, it is tested if the mean is greater, hence:

[tex]H_1: \mu > \leq 50000[/tex]

We are testing if the mean is greater than a value, hence we have a right-tailed test. Using a right-tailed test with t = 2.06 and 200 - 1 = 199 df, the p-value is of 0.0203.

More can be learned about p-values at https://brainly.com/question/26454209

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Answer:

5 minutes

Step-by-step explanation:

it dives at positive 18 feet in a minute

however in order to dive at -54 feet, it must dive -5 times

18-18-18-18-18= -54

and 1min =18feet

so it needs 5minutes for the 5times

OR

Let x=the time needed to dive at -54 feet's

so 1min=18

x= -54

-54=18x

dividing both sides by 18

-54/18=18x/18

x=-54/18

x=-5

however time cannot be negative

therefore x =5

this implies that the penguin dives at -54 feet in 5 minutes.

Answer:

Correct!

Step-by-step explanation:

The solution is x = 1

The length of a will be a different number and the value will be 4.71in

The given diagram is a sector and the formula for calculating the length of an arc is expressed as:

Length of an arc = rβ

where

Given the following parameters

β .= 45 degrees

r = 6in

Substitute

Length of an arc = 6π/4

Length of an arc = 6(3.14)/4

Length of an arc = 4.71inches

This shows that the length of a will be a different number and the value will be 4.71in

Learn more on length of arc here: https://brainly.com/question/8020286

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Answer:

angles measuring 25,65, and 90 can create more than one triangle, as angles can be same it can create similar triangles.

Answer:

a

Step-by-step explanation: