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2 years ago

7

A set of bed prices are normally distributed with a mean of 1300 dollars and a standard deviation of 300 dollars. A wooden bed h

as a price of 1399 dollars. What proportion of bed prices are higher than the price of the wooden bed?

1 answer:

koban [17]2 years ago

5 0

Answer:

0.3707

Step-by-step explanation:

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What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndF

Lady bird [3.3K]

Answer:

$x=\pm\sqrt{3}$ and they are actual solutions

Step-by-step explanation:

we have

$\frac{x^2}{2x-6}=\frac{9}{6x-18}$

Factor the denominators both sides

$\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}$

Simplify

$\frac{x^2}{2}=\frac{9}{6}$

$x^2=\frac{18}{6}$

$x=\pm\sqrt{3}$

<u><em>Verify</em></u>

1) For $x=\sqrt{3}$

$\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}$

$\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}$

$18=18$ ---> is true

therefore

$x=\sqrt{3}$ ----> is an actual solution

2) For $x=-\sqrt{3}$

$\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}$

$\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}$

$18=18$ ---> is true

therefore

$x=-\sqrt{3}$ ----> is an actual solution

therefore

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1 year ago

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Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

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AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles

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1 year ago

Grace is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $2.50. Grace spent $16.50 altog

Rama09 [41]

Answer:

Number of Rides: $5.5R = 16.5$

Number of Games: $1.5G = 9$

Step-by-step explanation:

Given

Represent the games with G and the Rides with R

$G = 1.50$ -- cost

$R = 2.50$ --- cost

$Total = 16.50$ -- cost

Required

Represent the system using an equation

The equation can be represented as follows;

$G + R = Total$

Assume She plays G games and had R rides, we have

$1.5G + 2.5R = 16.5$

Since she plays twice as much games as rides,

This implies;

$G = 2R$

So, we have

$1.5 * 2R + 2.5R = 16.5$

$3R + 2.5R = 16.5$

$5.5R = 16.5$ --- This equation can be used to solve for Number of Rides

Solving further

$R =16.5/5.5$

$R =3$

Substitute 3 for R in $1.5G + 2.5R = 16.5$

$1.5G + 2.5 * 3 = 16.5$

$1.5G + 7.5 = 16.5$

Solve for 1.5G

$1.5G = 16.5 - 7.5$

$1.5G = 9$ --- This equation can be used to solve for Number of Games

Solving further

$G = 9/1.5$

$G = 6$

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3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does

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Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

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In which subject did students decline the most

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English because the least people did it

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