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Mamont248 [21]
3 years ago
9

Dan pays £714.73 a year on his car insurance

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer:

The Current Insurance cost = $685.43

Step-by-step explanation:

Given that Dan pays £714.73 a year on his car insurance.

Reduced Percentage = 4.1%

so

Reduced Amount =  4.1% × 714.73

                             = [4.1 / 100] × [714.73]

                             = 0.041 × 714.73

                             = $29.30

The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.

so

Current Insurance cost = 714.73 - 29.30

                                       = $685.43

Therefore, the Current Insurance cost = $685.43

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Step-by-step explanation:

Hello!

The variable of interest is

X: the weight of an egg of a certain breed of hen. (g)

This variable is normally distributed with mean μ= 65.9g and standard deviation σ=5.5 g

If a carton (a random sample of 12 eggs) is taken, you need to calculate the probability of it weighting 775g and 825g, symbolically: P(775≤X[bar]≤825)

For this, you have to use the distribution of the sample mean X[bar]~N(μ;σ²/n)

If the carton weights 775g, then its eggs will have an average weight of 775/12= 64.48g

If the carton weights 825g, then its eggs will have an average weight of 825/12=68.75g

P(64.48≤X[bar]≤68.75)= P(X[bar]≤68.75) - P(X[bar]≤ 64.48)

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I hope you have a SUPER day!

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