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3 years ago

Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5

Mathematics

1 answer:

meriva3 years ago

7 0

Answer:

$\large\boxed{x=-\dfrac{1}{5}}$

Step-by-step explanation:

$\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}$

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In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

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

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

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

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Amiraneli [1.4K]

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

$d = \sqrt{ ({ - 8 - 3})^{2} + ({1 9 - 5})^{2} } \\ = \sqrt{( { - 11})^{2} + {14}^{2} } \\ = \sqrt{121 + 196} \\ = \sqrt{317} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...$

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

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3 years ago

Find the distance from Q: (5.7 , 2.6) to R: (-3, 5.9)

Firdavs [7]

It would be around 9.304. so you'd round to the nearest tenth 9.3

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3 years ago

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7. Sarah draws a card from a standard deck, throws the card away, and then draws another card.

VashaNatasha [74]

Answer:

dependent

Step-by-step explanation:

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3 years ago

10 in<br> Given the figure. Find AC.

rjkz [21]

Answer:

if its an arc and center angle is given it could be double the size. IF it is a triangle measure you would use Pythagoras for triangle and trig for given angle, if two triangles are shown and they are scale of each other alternative measures given divide into each measure by the correct line and check this with the matching angles. when found as a division this is the ratio so then you just multiply to find the larger measure but divide to find the smaller measure. AC could also be a junction or vector, if its a type of vector then you just follow the arrows and count how many arrows fit the line pick a direction and ie) if its x2 a then you show a+a.

Step-by-step explanation:

5 0

3 years ago