Mathematics, 04.12.2019 04:31 starlightmoon213

The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches. in a random sample of 30 boards, what is the probability that the mean of the sample will be between 94.8 inches and 95.8 inches? homework :

Answers: 1

Show answers

Answers

Answer from: Clup0211

0.588

Step-by-step explanation:

By law of large number, the probability of the mean of 30 boards sample would be the same as 1 sample being between 94.8 in and 95.8 in within a normal distribution with mean 95 and standard deviation of 0.52. We can calculate this probability by subtracting the cumulative probability of 94.8 from the cumulative probability of 95.8 in.

P(94.8<x<95.8) = P(x < 95.8) - P(x < 94.8) = 0.938 - 0.35 = 0.588

Answer from: Quest

step-by-step explanation:

domit

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Another question on Mathematics

Mathematics, 21.06.2019 16:30

What is the difference between regular convex and concave polygons

Answers: 1

Answer

Mathematics, 21.06.2019 17:20

Adrawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. what is the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same colour?

Answers: 3

Answer

Mathematics, 21.06.2019 22:10

On a piece of paper, graph y< x-1. then determine which answer choicematches the graph you drew.13. z3. 2(3.290-1)

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.

Answers: 2

Answer

You know the right answer?

The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation...

Questions

Mathematics, 20.11.2019 01:31

The function ƒ(x ) = -3x + 5 is represented by which set of ordered pairs? 1.{(-1, 8), (0, 5), (2, -1), (3, -4)} 2.{(-1, 9), (0, 2)...

Mathematics, 20.11.2019 01:31

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? check all that apply. 3 = 5(x2 + 2x) 3 = 5x2 –...