Find the measure of each angle indicated

your automobile insurance semiannual premium is 750 and you have 1050 deductible per incident. In a particularly bad year, you h

nataly862011 [7]

Answer:

$3600

Step-by-step explanation:

In each case, the repair cost exceeded the deductible, so your out-of-pocket cost for 2 repairs is ...

2 × $1050 = $2100

In addition, you had to pay the premium of $750 per 6-month period, or $1500 per year, so your total was ...

$2100 +1500 = $3600 . . . out-of-pocket total

6 0

2 years ago

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x

RoseWind [281]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

Firstly we will calculate the general probability that of P(a < X < b)

P(a < X < b) = $\int_{a}^{b} \frac{2}{x^{3}} dx$ = $2\int_{a}^{b} x^{-3} dx$

= $2[ \frac{x^{-3+1} }{-3+1}]^{b}_a dx$ { Because $\int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a$ }

= $2[ \frac{x^{-2} }{-2}]^{b}_a$ = $\frac{2}{-2} [ x^{-2} ]^{b}_a$

= $-1 [ b^{-2} - a^{-2} ]$ = $\frac{1}{a^{2} } - \frac{1}{b^{2} }$

a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }

Comparing with general probability we get,

P(1 < X < 5) = $\frac{1}{1^{2} } - \frac{1}{5^{2} }$ = $1 - \frac{1}{25}$ = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/ $8^{2}$ - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = $\frac{1}{6^{2} } - \frac{1}{10^{2} }$ = $\frac{1}{36} - \frac{1}{100 }$ = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

= $(\frac{1}{1^{2} } - \frac{1}{6^{2} })$ + (1/ $10^{2}$ - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

⇒ P(1 < X < x) = 0.75

⇒ $\frac{1}{1^{2} } - \frac{1}{x^{2} }$ = 0.75

⇒ $\frac{1} {x^{2} }$ = 1 - 0.75 = 0.25

⇒ $x^{2}$ = $\frac{1}{0.25}$ ⇒ $x^{2}$ = 4 ⇒ x = $2$

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0

2 years ago

An artist agrees to paint a landscape painting at 0.30 per square inch. if the painting is 13 inches by 17 inches, how much shou

Yuri [45]

We know that
[area of the painting]=13 in* 17 in-----> 221 in²

if an artist painting at
$0.30 per --------------> 1 in²
x$--------------> 221 in²
X=221*0.30------> x=$66.30

the answer is
$66.30

8 0

2 years ago

There are 40 tables in a library, with 30% of them seating 4 people. The tables remaining only seat 22 people. How many seats ar

zhannawk [14.2K]

30% of 40 = 0.30(40) = 12......so 12 tables seat 4 people per table = 12 x 4 = 48 seats.......tables remaining seat 22 people (22 seats).
48 + 22 = 70 seats total

8 0

2 years ago

Read 2 more answers

How many digits are in the product of 91 and 10^17 please explain. Thanks.

LenKa [72]

It should be 19 because originally, it would be 910, but then add 16 more 0's, and 16 + 3 = 19 (and the three is from here -------^)!
Check this out ->:https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=91*10%5E17
and https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#safe=strict&q=91000000000...
They equal.

7 0

2 years ago