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3 years ago

Ce Powered by MathXL - Inv. 2 - Thinking With Mathematical ... Copy 4

Mathematics

1 answer:

MAVERICK [17]3 years ago

7 0

Answer:

y=640-3x

Step-by-step explanation:

The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.

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Anyone can help me ?

qaws [65]

9514 1404 393

Answer:

∠x = 80°
∠y = 40°
∠z = 60°

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

x = 180° -100° = 80°

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

y = 40°

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

100° = 40° +z

z = 100° -40° = 60°

5 0

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:

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

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

$P(x \le 3) = 0.2352$

4 0

3 years ago

Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :