What is the value of x, given that OP||NQ ?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

$\dfrac{x}{9}=\dfrac{20}{18}\\\\\dfrac{x}{9}=\dfrac{10}{9}\ \ \ \ |multiply\ both\ sides\ by\ 9\\\\\boxed{x=10}\to\fbox{a.}$

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jok3333 [9.3K]

Answer:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

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The number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

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Answer:

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Step-by-step explanation:

We are given that the number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

Also, sample of 49 adults is given.

Let X = number of hours spent per week on household chores

So, assuming data follows normal distribution; X ~ N( $\mu=28,\sigma^{2}=7^{2}$ )

The z score probability distribution for sample mean is given by;

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

where, $\mu$ = mean hours = 28

$\sigma$ = standard deviation = 7 hours

n = sample of adults = 49

Let $\bar X$ = sample mean hours spent per week on household chores

So, probability that the mean hours spent per week on household chores by a sample of 49 adults will be more than 26.75 is given by =P( $\bar X$ > 26.75 hours)

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