Why is the remainder always less than the divisor

1 answer:

4 0

The remainder is always less than the divisor because if the remainder was more than the divisor then you would have a totally different answer. If the remainder was more than the divisor than you know your answers wrong.

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A line passes through the points (0, 4) and (1, 9). What is its equation in slope-intercept

Simora [160]

Answer:

y=5x+4

Step-by-step explanation:

First get slope:

(4-9)/(0-1) = -5/-1 = 5

The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).

The y-intercept is 4.

y = mx +b, m is slope and b is the intercept.

y = 5x +4

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3 years ago

The speed of a bus from University A to University B was decreased by 20% to 48 miles per hour. What was the speed of the bus be

Lunna [17]

Answer:

initial speed: 240 m/h

Step-by-step explanation:

48 m/h is the current speed which is the 20% of X

x (20 / 100) = 48

20x = 4800

x = 4800/20

x = 240 m/h

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2 years ago

Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 60, \sigma = 16$