Evaluate log31 over 81

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 30.05 inches

$\sigma$ = standard deviation = 0.2 inches

n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z < 3) = 0.99865

P(X bar <= 30.25) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ <= $\frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725

= 0.0214

7 0

3 years ago

10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of

Leni [432]

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

4 0

4 years ago

Geroge is bringing garonla bars and apples for his classmate at school apples cost 0.75 each qnd garonla bars cost 0.15 each ger

Alja [10]

The system of equations best represents the number of apples a and the number of garonia bars g be a+b=60, 0.75x+0.15y=21.

Given that cost of 1 apple is $0.75, cost of 1 gargonia bars be $0.15 ,total things are 60 and total money paid be $21.

Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation.

Because we have been told that there are 60 total things and a represents the number of apples and g represents number of garonia represents the number of garonia bars.

a+b=60--------1

Money paid by consumers is cost per units*number of units

So,

0.75a+0.15b=21

Hence the system of equations best represent the number of apples and the number of garonua bars g are a+b=60, 0.75a+0.15b=21.

Learn more about equations at brainly.com/question/2972832

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6 0

2 years ago

A Parmer spray 3 rows of tomato plants each row with a different type of fertilizer which questions should he look to determine

Virty [35]

Which fertilizer makes the plant grow the fastest?

Which is the slowest?

6 0

4 years ago

Pls help ........................

cricket20 [7]

Answer:

x<-1

Step-by-step explanation:

$18 < - 12x + 6 \\ 12x < - 12 \\ x < - 1$

6 0

3 years ago

Read 2 more answers