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vfiekz [6]
3 years ago
9

Solve for x -1+30x+24=6(5x+4) ???

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

No solution.

Step-by-step explanation:

Write the expression, combine like terms, and distribute.

-1+30x+24=6(5x+4)

30x+23=30x+24

Get rid of the variable first because they're both 30x (it makes it a lot easier).

30x+23=30x+24

<u>-30x      -30x</u>

23=24

23 is not equal to 24. When this happens, it means there is no solution, and that's just the answer.

Hope this helps you out!! Have a great day C:

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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
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Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

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<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

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You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
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Answer:

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Problem 1

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This second circle will intersect another circle of radius 3.5 and this third circle is centered at point Z.

Check out the diagram below to see what I mean.

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Problem 2

Draw a straight line and plot L anywhere on it.

Adjust your compass to 4 cm in width. Draw a circle around point L.

This circle crosses the line at two spots. Focus on one of those spots and call it M.

Draw another circle centered at point M. Keep the radius at 4 cm.

The two circles intersect at two points. Focus on one of the points and call it N.

The last step is to connect L, M and N to form the equilateral triangle.

See the image below.

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2 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
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Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

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3 years ago
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