Answer and explanation please

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

Answer:

X = 26

Step-by-step explanation:

So we know that a straight line equals 180º and we're given both equations. So you just have to set both equations equal to 180. It should look like:

2(x + 15) + (3x + 20) = 180

Use distributive property on the first equation

2(x + 15) = 2x + 30 so now your equation looks like 2x + 30 + 3x + 20 = 180

Add like terms

2x + 30 + 3x + 20 → 2x + 3x = 5x → 30 + 20 = 50

Your equation should look like

5x + 50 = 180

Subtract 50 from both sides, your goal now is to get x by itself

180 - 50 = 130

Divide both sides by 5. 130/5 = 26

X = 26

So now the equations added up should equal 180º. Just plug 26 in to x to solve.

2(26 + 15) + (3 x 26 + 20) = 180

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Complete Question

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places

Answer:

0.1151

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $45.20

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σ is the population standard deviation = $4

We are solving for x < 45.20

Hence:

z = 45.20 - 50/4

z = -1.2