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IgorLugansk [536]

2 years ago

6

David is 22 years old. He buys 100/300/50 liability insurance, collision insurance with a $100 deductible, and comprehensive ins

urance with a $500 deductible. What is his total annual premium?

1 answer:

sesenic [268]2 years ago

5 0

Answer:$2139.25

Step-by-step explanation: Took the test

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Underage drinking, Part II: We learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008

Murrr4er [49]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: number of 18-20-year-olds that consume alcoholic beverages in a sample of 50.

The proportion of underage people that drinks are known to be p= 0.697

This variable is discrete. This experiment has two possible outcomes success or failure, we will call "success" each time we encounter an underage individual that consumes alcohol and "failure" will be counting an underage that does not consume alcohol. The number of repetitions of the trial is fixed n= 50. All randomly selected underage individuals are independent and the probability of success is constant trough the whole experiment p=0.697.

Then we can say that this variable has a binomial distribution and we will use that distribution to do the calculations.

a. Under a binomial distribution, the expected value is calculated as:

E(X)= n*p= 50*0.697= 34.85.

The variance of a binomial distribution is:

V(X)= n*p*(1-p)= 50*0.697*0.303= 10.55955

And the standard deviation is the square root of the variance:

√V(X)= 3.2495 ≅ 3.25

b. To know how rare the value 45, you have to see how distant it is concerning the expected value. For this you have to subtract the expected value and divide it by the standard deviation:

[X-E(X)]/√V(X)

(45-34.85)/3.25= 3.12

The value X=45 is 3.12 standard deviations above the mean, which means that it would be rare to find 45 people or more than consumed alcohol.

c. P(X≥45) = 1 - P(X<45)= 1 - P(X≤44)= 1 - 0.9994= 0.0006

I hope it helps!

8 0

1 year ago

Joint and Combined Variations

Crazy boy [7]

10 * 450 / 404 * 36 / 40 = <span> <span> <span> 10.0247524752 liters

Source:
http://www.1728.org/combined.htm

</span></span></span>

3 0

2 years ago

Read 2 more answers

Multiply and simplify.

qaws [65]

15x^2y^4z^2 will be your answer please thank me and friend me

3 0

1 year ago

Translate and solve: 344% of what number is 34,400 ?

weqwewe [10]

1000

1000(344%) = 34400

5 0

1 year ago

Read 2 more answers

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

nasty-shy [4]

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Step-by-step explanation:

If (x , y) is the mid-point of a segment whose end points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ then,

$x=\frac{x_{1}+x_{2}}{2}$

$y=\frac{y_{1}+y_{2}}{2}$

In a parallelogram, its diagonals intersect each other at their mid-points

that means its diagonals bisect each other

∵ HIJK is a quadrilateral

∵ HJ and IK are its diagonals

∵ H = (-2 , 2)

∵ J = (4 , -2)

- Find the mid point of HJ

∵ $M_{HJ}=(\frac{-2+4}{2},\frac{2+-2}{2})$

∴ $M_{HJ}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{HJ}=(1,0)$

∴ The mid-point of HJ is (1 , 0)

∵ I = (4 , 3)

∵ K = (-2 , -3)

- Find the mid point of IK

∵ $M_{IK}=(\frac{4+-2}{2},\frac{3+-3}{2})$

∴ $M_{IK}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{IK}=(1,0)$

∴ The mid-point of IK is (1 , 0)

∵ The mid-points of HJ and IK are equal

∴ HJ and IK bisects each other

∴ HIJK is a parallelogram because its diagonals bisect each other

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

#LearnwithBrainly

6 0

1 year ago

Read 2 more answers