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Gnesinka [82]
4 years ago
10

What is the distance, rounded to the nearest tenth, between the points (0,5) and (8,0)?

Mathematics
1 answer:
nekit [7.7K]4 years ago
6 0

Answer:

<h2>The answer is 9.4 units </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{( {x1 - x2})^{2} +  ({y1 - y2})^{2}  }</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(0,5) and (8,0)

So the distance between them is

<h3>d =  \sqrt{ ({0 - 8})^{2} +  ({5 - 0})^{2}  }  \\ d =  \sqrt{ ({ - 8})^{2} +  {5}^{2}  }  \\ d =  \sqrt{64 + 25}   \\  \\ d =  \sqrt{89}</h3>

d = 9.4339811

We have the final answer as

<h3>d = 9.4 units</h3>

Hope this helps you

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To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in
lukranit [14]

Answer: \dfrac{26}{27}

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : p=\dfrac{6}{9}=\dfrac{2}{3}

Sample size taken by customs official : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

The probability that the traveler will be arrested for illegal possession of narcotics =P(x\geq1)=1-P(x=0)

1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = \dfrac{26}{27}

8 0
4 years ago
A high school has a total of 850 students. there are 60 more female students than there are make students?
Mrac [35]
Hey. Let me help you on this one.

Let's break this problem down so it's easier for us to comprehend it.

There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.

Amount of students in school = 850 students

Male students = X

Female students = X+60

Let's form an equation so we can work with what we have.

X+(X+60)=850

Subtract 60 from both sides.

X+X=790

Simplify

2X=790

Divide both sides by 2.

X=395

Answer: There are 395 male students, and 455 female students.

3 0
3 years ago
If f(x) and its inverse function, F(x), are both plotted on the same coordinate plane, what is their point of intersection?
polet [3.4K]

Answer:  d) (3, 3)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's.

Let's look at the points and find their inverse:

  f(x)           f⁻¹(x)

(0, -2)  -->  (-2, 0)

(1, -1)   -->   (-1, 1)

(2, 0)  -->   (0, 2)

(3, 3)   -->   (3, 3)       f(x) = f⁻¹(x) so this is where they intersect!

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The maturity value is 4827 and if needed interest value is 12.
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Please help me with A,B,c,D​
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