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3 years ago

Can you solve 4 + 2/3 x = -5 in fraction form?

Mathematics

1 answer:

guapka [62]3 years ago

3 0

Answer:

$\frac{-27}{2} = (-13)(\frac{1}{2})$

Step-by-step explanation:

The given equation is 4 + 2/3 x = -5

Taking variable on one side and constants on other side, we get

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

$x = (\frac{3}{2})(-9) = \frac{-27}{2} = (-13)(\frac{1}{2}) = -13.5$

The number in decimal form is given by -13.5

The number in fraction form is given as $\frac{-27}{2} = (-13)(\frac{1}{2})$

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Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot

bagirrra123 [75]

Answer:

one 5 and two 1's

Step-by-step explanation:

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3 years ago

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Mrs. Parker cut a watermelon into fourths. She gave 1 piece to her 3 children to share equally. How much will each child eat?

beks73 [17]

Answer: ¹/₁₂ watermelon

Step-by-step explanation:

Mrs. Parker had a watermelon which she cut into fourths and then gave one of those pieces to her children.

This means that she gave them 1/4 of a watermelon.

There are 3 children and they are to share this piece equally:

= 1/4 ÷ 3

= 1/4 * 1/3

= 1/12

<em>Each child will get 1/12 of the water melon. </em>

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3 years ago

Simplify the expression 6C5.<br> a.6.<br> b. 24<br> C. 30<br> d. 720

Lana71 [14]

<h3>Answer: A) 6</h3>

=====================================================

Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\$

Or you could use the shortcut

$_n C _{n-1} = n\\\\$

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

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2 years ago

Suppose 45% of the population has a college degree.

levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

$\mu = p = 0.45$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238$

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

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

By the Central Limit Theorem:

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

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

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2 years ago

Which equation represents the line through (4, -6) and (0, 2)?

romanna [79]

Answer:

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Step-by-step explanation:

find gradient by using the gradient formula (m= y2-y1÷x2-x1)

then find C

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3 years ago

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