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Kipish [7]
3 years ago
13

A research study shows that the yearly cost of dental claims for virginia state employees with dental care as a part of their he

alth insurance has a distribution with a mean of $1200 and a standard deviation of $200. if a random sample of 25 virginia state employees with dental insurance is selected, what is the probability that the mean of the yearly dental claims for this sample is between $1175 and $1225?
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0
The right answer is 50% .
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Carla buys a dress for $20.00 she pays 7 percent sales tax .. How much does she pay for the dress with tax?
BaLLatris [955]

Answer:

Carla pays $21.4 for the dress with tax.

Step-by-step explanation:

Here we are given that :

Price of dress = $20

Sales tax = 7%

Price of dress with tax = $20 + 7% of 20

Price of dress with tax = 20+1.4 = 21.4

Price of dress with tax = $21.4

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3 years ago
Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown
guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) =  (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001

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3 years ago
Which of the following correctly describes a concave polygon?
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The answer to this one is A
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Y X 2/3= 1 Solve for y
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Y= 3/2x would be the answer.
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