Barry bought 100/300/50 liability with a $500 deductible on comprehensive coverage. If the base premiums are $450, $245, $148, and $85, respectively, how much is his total base premium?

Answer:the number of stamps that his cousin collected is 20. The variable is x which represents number of stamps. The equation is

4x = 60

Step-by-step explanation:

Let x represent the number of stamps that his cousin collected.

Xander collected four times as many stamps as his cousin. This means that the number of stamps that Xander collected is 4x

If xander collected 60 stamps, then it means that

4x = 60

x = 60/4 = 20 stamps

Step-by-step explanation:

The probability that the dealer will be fined is 0.0948

To find p(a <= Z <= b) = F(b) - F(a)

P(X < 20) = (20 - 30.5)/3.4489

= -10.5/3.4489 

= -3.0444

= P(Z < -3.0444) from standard normal table

= 0.00117

P(X < 26) = (26 - 30.5)/3.4489

= -4.5/3.4489 = -1.3048

= P(Z < -1.3048) From standard normal table

= 0.09599

P(20 < x < 26) = 0.09599 - 0.00117 = 0.0948

The answer in this question is 0.0948

Final answer:

To determine the probabilities requested, the normal distribution model is employed. The number of favorable reports follows a normal distribution with mean μ = 0.73 * 69 and standard deviation σ. The probabilities are then calculated from the z-scores corresponding to the given ranges, using standard normal distribution tables or calculators.

Explanation:

To calculate the probability that the dealership will be fined or dissolved, we use the normal distribution model because the sample size is large enough, and the variable (the number of customers who report favorably) can be approximated by a normal distribution. Given that 73% of the dealer's customers report favorably, and we have a sample size of 69 customers, we can find the mean (μ) and the standard deviation (σ) of the distribution. The mean (μ) is 0.73 * 69, and the standard deviation (σ) is .

To find the z-score for the number of favorable reports between 40 and 46, we use the formula z = (x - μ) / σ. Then we find the corresponding probabilities using the standard normal distribution table or a calculator providing such functionalities. To find the probability that the dealer will be fined, we subtract the cumulative probability at the lower boundary from that at the upper boundary. Similarly, to find the probability that the dealership will be dissolved (fewer than 40 favorable reports), we find the cumulative probability at 39 (since it's fewer than 40) and use it directly because it represents all values below that number.

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Final answer:

In order to prove the sentence 2/5 + 4/10, a partitioned model could be used. Here, 2/5 equates to 4 out of 10 parts and 4/10 equates to 4 out of 10 parts. Adding these provides a total of 8 out of 10 parts, thereby proving the sentence is true.

Explanation:

To prove the number sentence 2/5 + 4/10 is true using a partitioned model, you need to start by understanding that fraction addition involves just combining the fractions. If you partitioned a model into 10 equal parts representing 1 whole, 2/5 would be 4 parts and 4/10 would be 4 parts. Adding these together 4parts (being 2/5) + 4parts (being 4/10) makes 8 parts. Since 1 whole is made up of 10 parts, 8 parts equate to 8/10 or 0.8. Therefore, 2/5 + 4/10 = 0.8 or 8/10 validating the sentence as true.

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Answer:

I think this the answer 1/4

Step-by-step explanation: