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2 years ago

Solve the inequality 3(4x+5)=33

Mathematics

2 answers:

LenKa [72]2 years ago

8 0

Answer:

x = 3/2

Step-by-step explanation:

3(4x + 5) = 33

4x + 5 = 11

4x = 6

x = 3/2

maria [59]2 years ago

7 0

18/12 which simplifies to 3/2 or 1.5

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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

There were 500 people at a play. the admission price was $6 for general public and $3 for students. the admission receipts were

dem82 [27]

Its 880 i think but hope yhu get it right

5 0

3 years ago

MATH MATh MAtH MAAAAThHhH YAAA

MariettaO [177]

Answer:

6k + 19

Step-by-step explanation:

7k - k + 19

6k + 19

7 0

2 years ago

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Help me plz!<3 asap

nexus9112 [7]

Answer:

73,58,107,49,131

Step-by-step explanation:

m∠1=73°because alternate interior angles

m∠2= 180-49-73=58° because straight lines make 180° angles

m∠3=58+49=107° because alternate interior angles

m∠4 =49° because alternate interior angles

m∠5=180-49=131° because straight lines make 180° angles

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2 years ago

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If you travel at a rate of 45 mph how many minutes will you will it take you to travel 1 mile

stiks02 [169]

It'd take you, 1 minute and 33 secounds.
45 miles = 60 minutes
1 mile = 60/45 = 4/3 = 1.33 minutes

7 0

2 years ago