katryn owes her father $25.write this number as an integer.

Here we need to Prove that ,

[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Lets start with LHS , which is ,

[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]

We know that ,

[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]

• So that ,

[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]

Hence ,

[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider LHS:

[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]

As we know that:

[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]

We get:

[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]

We can also write it as:

[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]

We know that:

[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]

We get:

[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]

[tex]\sf= x^{0}[/tex]

[tex]\sf=1[/tex]

[tex]\textsf{= RHS}\\[/tex]

Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is [tex]P(X \geq 4)[/tex], which is given by:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which:

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147[/tex]

[tex]P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816[/tex]

[tex]P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985[/tex]

[tex]P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759[/tex]

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295[/tex]

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

A similar problem is given at https://brainly.com/question/25166697

Answer:

correct answer is 2

............................

Answer U4

Step-by-step explanation:

blank is 4

Answer:

the opposite of 1 1/2(1.5) is -1 1/2(-1.5)

Step-by-step explanation:

Answer:

will u give the brainliest?

Answer:

18%

Step-by-step explanation:

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.  

The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm⁡(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.

Answer:

3866000000000000

Step-by-step explanation:

you move the decimal 15 spaces to the right

cacacacacacas

⇆⇆⇄πβ≅≅ΔΔΔ

yes

Answer:

Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.

Step-by-step explanation:

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

Check out the diagram below.

I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.

So,

Therefore, the total volume we're working with is:

A+B+C = 288+180+108 = 576 cubic feet

The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.

Answer:

Step-by-step explanation:

I think it is a strangely worded question as they only refer to the larger gear turning.

I believe that this is what they are going for.

Number of teeth passing in each revolution

The Numbers match when the large gear turns two times as the smaller gear turns three times.

Answer:

50%

Step-by-step explanation:

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

Answer:

X= 17

Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)

Answer: x=17

Add 5 on both sides

x-5+5=12+5

x=17

Step-by-step explanation: Hope this helps!

If you are having a tough time with math you can use:

khanacademy,

mathnation,

and many other free sources

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

Read related link on:

https://brainly.com/question/24429956

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Answer:

11

0

1

30 ...........

.....

Answer:

Step-by-step explanation:

ΔLMN is isosceles with angle L being 35°.

Angle  measure of M and N is same:

Arc measure is twice the intercepting angle, since the angle is not central:

Answer:the answer should be (1,5)

Step-by-step explanation:

Answer:

multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Step-by-step explanation:

Answer:

Cost of each pendant = $2.80

Step-by-step explanation:

Since we're given information regarding the total cost of beads, $13.20, and the total cost of beads and pendants for all 4 necklaces, $24.40:

Let b = beads

p = pendants

C = total cost of beads and pendants for all 4 necklaces.

b + p = C

$13.20 + p  = $24.40

$13.20 - $13.20 + p  = $24.40 - $13.20

p = $11.20 (This represents the total cost of 4 pendants).

To find out the cost of each pendant, divide $11.20 by 4:

$11.20 ÷ 4 = $2.80

Therefore, the cost of each pendant is $2.80.

Answer:

I'm 50% sure it's $7.52 though I may be wrong

Answer:

Yes

Step-by-step explanation:

start with 5y=x-5

divide both sides by 5 to get:

y= x/5 - 1

since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer