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3 years ago

Compare the process of solving an equation and an inequality. What are the differences and the similarities?

1 answer:

7 0

when you solve an inequality the result is an interval when you solve an equation is a number or set ex x^2=25 x=-+5 the result is finite numbers

when you multimply an equation the sign inverses but when you solve an equation there is nothing to change

similiarities

you can add and subtract numbers from both sides

diving and multypling the equation or inequation by a positive numeber as i said in the beggining by multypling or dividing with a negative number the equation s sign inverses ex >= becomes <=

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The table shows the times it took four runners to finish a 400 meter race.

Blababa [14]

Runner L had the highest average speed

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4 years ago

The ratio of the heights of two similar prymaids is 3:2

Charra [1.4K]

What is the question?

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3 years ago

Find linear models for each set of data. In what year will the two quantities be equal? x y 1970 67.8 1975 69.6 1980 70.5 1985

DaniilM [7]

Answer:

The graph solution is defined in the attachment file please find it.

Step-by-step explanation:

The first line equation:

$\to Y= 0.22x + 67.5\\\\$

The second line equation:

$\to Y= 0.15x + 75.507\\\\$

Intersection points:

$\to (114.387,92.665)\\\\$

By adding the value of the first year (1970) into the x-value that is

$\to 114.387+1970=2084.387$

4 0

3 years ago

A ladder 10 ft long leans against a vertical wall. If the lower end is being moved away from the wall at the rate of 6 ft/sec,

Grace [21]

Answer:

-4.5ft per sec

Step-by-step explanation:

Assume that vertical wall has a distance of y and the horizontal floor is x (6 ft).

This forms a triangle with the ladder as the hypothenus of length 10ft

We have dy/dt = 6ft per sec

According to Pythagoras law the relationship between x and y is

(x^2) + (y^2) = (hypothenus ^2) = 10^2

When we differentiate both sides of the equation

2x(dx/dt) + 2y(dy/dt) = 0

dy/dt = (x/y) * (dx/dt)

y= √(10^2) - (6^2) = 8ft

So dy/dt = (6/8)* (6/1)= -4.5 ft per sec

It is a negative rate

4 0

3 years ago

The lifetime of a certain type of calculators is normally distributed. If the mean is 400 hours and the standard deviation is 50

Advocard [28]

Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean is 400 hours and the standard deviation is 50 hours

This means that $\mu = 400, \sigma = 50$