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2 years ago

Convert the mixed numbers to improper fractions:1. 5 6/72. 8 3/9

Mathematics

1 answer:

finlep [7]2 years ago

5 0

1. 5x72+6 over 72 = 366/72
2. 8x9+3 over 9. = 75/9

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Step-by-step explanation:

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2 years ago

1. Reduce the ratio to the simplest form: <br> a)5:10=_____. <br> b)60:54=____.

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Answer:

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2 years ago

Read 2 more answers

Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho

Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

$X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )$

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, $P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10$

$P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]$

As, $P(z>1.28)=0.10$ [By z-table]

Then,

$\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712$

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

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3 years ago

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5.

Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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