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katen-ka-za [31]
3 years ago
10

0.2(x + 1) + 0.5x = –0.3(x – 4)

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0
The answer will be x=2
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify
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Answer:

scale factor : 3.5

Step-by-step explanation:

56/16=3.5

6 0
2 years ago
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
Given the regular polygon, what is the measure of each numbered angle?​​
ANEK [815]

Answer:

Answer A

Step-by-step explanation:

Approach 1

B, C, and D are wrong because angles 1 and 2 are congruent.

Therefore your answer of both being 60°

Approach 2

Let x = angle 1.

360/x = 6

x = 60°.

Therefore Angle 1 is 60°

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Let y = angle 2.

y is half of 120°

So 120/y = 2

y = 60°

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The answer to this question is line 1
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Which choices are equivalent to the expression below?<br> Check all that apply.
Fittoniya [83]

Answer:

<em>A, D // other options are wrong.</em>

8 0
3 years ago
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