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3 years ago

Find the values of x and y.

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

Answer:

X=15

y=17

Step-by-step explanation:

4y+112=180

4y=180-112

4y=68

y=68/4

y=17

7x+7=112

7x=112-7

7x=105

X=105/7

X=15

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How many dimensions does a line segment have

Natalija [7]

Answer:

A line segment has one dimensions.

Step-by-step explanation:

A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Dimension is an aspect or feature of an object.

A line segment, let us say AB has two endpoints and has only one measurable feature that is its length which is actually the distance between the two end points A and B.

Hence, a line segment is one-dimensional.

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3 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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3 years ago

[Easy Question] Answer this with evidence of the answer that you provided with me!

monitta

Answer:

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3 years ago

Last one in math! Help Me

Andre45 [30]

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3 years ago

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In the formula I=P·r·t, what does P stand for? a. Percent: the interest rate expressed as a percentage b. Principal: the amount

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b. Principal: the amount of money you initially invested