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3 years ago

How are the integers and rational numbers different? ...?

1 answer:

5 0

Integers: Whole numbers and the opposites of whole numbers.

Rational Numbers: Numbers that can be written as a fraction (or ratio) of two integers.

You might be interested in

Is 0.7 =0.07 reasonable? explain why if its not or it is

MrRissso [65]

Answer:

Step-by-step explanation:

No, because 0.7 is greater than 0.07 {Tip: Look for place of the decimal}

0.7 is written as 7/10 and 0.07 is written as 7/100

0.7 which is 7/10 is also written as 70/100 Hence, it clearly that 70/100 is greater than 7/100

0.7 is greater than 0.07 because to compare between two decimal numbers, you should look at the number after the decimal point and 7 is greater than 0 in the tenth place.

[RevyBreeze]

5 0

2 years ago

In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

3 years ago

What is the slope of the line y=3x/7 + 4/7

Natalija [7]

Answer:

the slope of y=3x/7+4/7 is M=3 over 7

5 0

3 years ago

Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.

spayn [35]

Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞

7 0

3 years ago

The population of bald eagles in Forest National Park is declining at a rate of 14% per year. The following expression represent

neonofarm [45]

We know that the population is declining at a rate of 14% per year.

The expression is:

N ( x ) = 206 * ( 0.86 ) ^ x

where x stays for years.

If we want to find the rate at which the population is declining per month we have to find:

$\sqrt[12]{0.86} = 0.9875$

And 0.9875 ≈ 0.99

There are 12 months in a year so the exponent is: x/12

Answer:

b. ( .99 ) ^ x/12

7 0

3 years ago

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