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2 years ago

Can anyone help pleaseeee?

Mathematics

1 answer:

ohaa [14]2 years ago

7 0

<h3>Answer:</h3>

C. 0 + 4y = 2

<h3>Explaination:</h3>

x + y =7 .. (1)

x - 3y = 5 ..(2)

Subtracting equation (2) from (1) , we get,

•°•4y = 2

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Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,

Valentin [98]

Answer:

See below.

Step-by-step explanation:

Let the smaller integer be n.

Then the larger integer is n + 2.

"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."

The correct equation is:

n + 3(n + 2) = 5n - 2

His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."

n + 3(n + 2) = 5n - 2

n + 3n + 6 = 5n - 2

4n + 6 = 5n - 2

8 = n

n = 8

n + 2 = 10

The integers are 8 and 10.

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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:

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

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

$P(x \le 3) = 0.2352$

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Answer:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Step-by-step explanation:

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3 years ago

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