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2 years ago

Solve for x in the following system 6x + 6y = -2 y = -x

1 answer:

8 0

6x + 6(-x) = - 2
6x - 6x = - 2

the answer was not relevant than 0

i am a mathematics teacher. if anything to ask please pm me

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7x + 17<br> 100°<br> Solve for X

tensa zangetsu [6.8K]

Answer:

7x =100-17

7x = 83

X= 11/6/7

3 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

2 years ago

Factor x^4+2x^3−2x−1 completely

goblinko [34]

1) Factor out common terms in the first two terms, then in the last two terms
{x}^{3}(x+2)-2(x+2)

2) Factor out the common term x+2
(x+2)({x}^{3}-2)

Done!

5 0

3 years ago

The square of Mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?

Lubov Fominskaja [6]

Answer:

Age= 15

Step-by-step explanation:

Let a be for age at the moment

(a-3)^2 =6(a+9)

a^2-6a+9=6a+54

a^2-12a-45

(a-15)(a+3)

a=15 or a=-3

Age cannot be negative (-)

Therefore

Age =15

3 0

3 years ago

Read 2 more answers

Find the period of the graph

olya-2409 [2.1K]

Answer:

240 degrees

Step-by-step explanation:

Looking at the graph we can see that the first peak is at -30 degrees and the second peak is at 210 degrees.

210 - (-30) = 210 + 30 = 240

5 0

3 years ago