Solve the proportion 5/3c = 1/6

1 answer:

7 0

The proportion is c=0.1
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 This is an equation! Solutions: c=0.1.
Graphical form: Equation was fully solved.Text form: 5/3*c=1/6 simplifies to 0=0Cartoon (animation) form:
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Solved linear equation equivalent to 1.66666666666667*c-0.166666666666667 =0
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This is an equation! Solutions: c=0.1.

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Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y

tamaranim1 [39]

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

y - 2 = -5/4(x+8)

y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

3 0

3 years ago

The weight for crates of apples is normally distributed with a mean weight of 34.6 pounds and a standard deviation of 2.8 pounds

Tatiana [17]

Answer:

42.22% probability that the weight is between 31 and 35 pounds

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:

$\mu = 34.6, \sigma = 2.8$