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3 years ago

Please answer ASAP experts.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

The value of x is 1.5.

Step-by-step explanation:

Step 1:

First, we must convert the mixed fractions into improper fractions.

To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged.

To convert the fraction $2\frac{7}{10} = \frac{(2(10)+7)}{10} = \frac{27}{10}.$

Step 2:

So $\frac{9}{5} x = \frac{27}{10},$

By cross multiplying the fraction on the left-hand side of the equation, we get

$x = (\frac{27}{10} )(\frac{5}{9} ) = \frac{3}{2} = 1.5.$

So the value of x is 1.5.

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3 years ago

Please help!

Kobotan [32]

Answer:

You have three card : 3, 4, and 5.

You first pick one card randomly, the probability of picking a 3 is:

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3 years ago

Which complex number has a distance of 17 from the origin on the complex plane?

Virty [35]

Answer:

None of the options are correct.

Step-by-step explanation:

Let the complex number is a + ib

Given distance from origin = 17 units

Now, by distance formula distance of a point from the origin =

$17 = \sqrt{(x)^{2} + (y)^{2} }$

1) Check for 2 + 15 i

here, $\sqrt{15^2 + 2^2} = \sqrt{225 + 4} = \sqrt{229}$ ≠ 17

2) Check for 17 + i

here, $\sqrt{17^2 + 1^2} = \sqrt{289 + 1} = \sqrt{290}$ ≠ 17

3) Check for 20 - 3 i

here, $\sqrt{20^2 + (-3)^2} = \sqrt{400 + 9} = \sqrt{409}$ ≠ 17

4) Check for 4 - i

here, $\sqrt{4^2 + (-1)^2} = \sqrt{16 + 1} = \sqrt{17}$ ≠ 17

Hence, none of the options are correct.

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4 years ago

A local agricultural cooperative claims that 55% of about 60,000 adults in a country believe that gardening should be part of th

insens350 [35]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has $\mu = p, s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

The proportion is of 55%, hence $p = 0.55$

The sample has 300 adults, hence $n = 300$

Then, the mean and the standard error are given by:

$\mu = p = 0.55$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{300}} = 0.0287$

The probability is the p-value of Z when X = 0.5, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.5 - 0.55}{0.0287}$

$Z = -1.74$

$Z = -1.74$ has a p-value of 0.0409.

0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

A similar problem is given at brainly.com/question/25800303

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3 years ago