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pishuonlain [190]

3 years ago

7

An individual who has automobile insurance from a certain company is randomly selected. What is the probability that among 15 ra

ndomly chosen such individuals, at least 10 have no citations?

1 answer:

olchik [2.2K]3 years ago

6 0

Answer: B( 5 : 15,0)

Step-by-step explanation: Please find the attached file for the solution

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Convert 3 5/8 + 1 3/4 to an improper fraction

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2 years ago

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kakasveta [241]

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2 years ago

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

PLZ HELP!! ILL GIVE BRAINLIESTT

Nadya [2.5K]

Answer:i am not sure about this

Given Statement:

Angela is very tired after working outside all day.

Conditional Statement:

If she was working outside all day, then angela is very tired.

Converse Statement:

If angela is very tired, then she was working outside all day.

Inverse Statement:

If angela did not work outside all day then she will not be tired

Contrapositive Statement:

If angela is not tired then she did not work outside all day

Biconditional Statement:

Angela is very tired if and only if she worked outside all day

Step-by-step explanation:

6 0

3 years ago

You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what d

worty [1.4K]

Answer:

If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other

ex. 1/2 - 1/3

make a common denominator (or find the least common multiple)

3/6 - 2/6

subtract the numerators

take 2 from 3 and put that on top.

Solution 1/2-1/3= 3/6-2/6= 1/6

5 0

3 years ago