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4 years ago

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x

Mathematics

2 answers:

Bess [88]4 years ago

8 0

Answer:

$\large\boxed{x=\dfrac{8}{3}y-4}$

Step-by-step explanation:

$\dfrac{3}{8}(x+4)=y\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}(x+4)=8y\\\\3(x+4)=8y\qquad\text{divide both sides by 3}\\\\\dfrac{3(x+4)}{3}=\dfrac{8y}{3}\\\\x+4=\dfrac{8}{3}y\qquad\text{subtract 4 from both sides}\\\\x=\dfrac{8}{3}y-4$

madam [21]4 years ago

6 0

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation. To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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Use technology or a z-distribution table to find the indicated area.

katrin [286]

Approximately 70% of the visitors to the theme park are older than about 12.3.

A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).

Therefore, we can write and solve the following equation:

(x - 15) / 5.2 = -0.53
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The closest amount is 12.3.

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3 years ago

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr

konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

In this problem, we have that:

$\mu = 80, \sigma = 5$

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

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

$Z = \frac{90 - 80}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

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3 years ago

Add<br>(4-4i)+(3-2i)<br>Write as complex number in standard form

Viefleur [7K]

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

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3 years ago

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The scientific mathematical language barrier.

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4 years ago

Find the slope and y intercept of the graph of the graph of each equation.

AleksandrR [38]

Solve each equation for y and then the slope is m and y-intercept is b as in:
$y = mx+b$

So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1

Hope this helps.

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3 years ago

Read 2 more answers

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x​

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x