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2 years ago

Help pleaseeeeeeee it’s a free 10 points

Mathematics

2 answers:

Svetlanka [38]2 years ago

8 0

Answer:

63.2

Step-by-step explanation:

90+26.6=116.8

180-116.8=63.2

rjkz [21]2 years ago

7 0

Answer:

Thanks

Step-by-step explanation:

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

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2 years ago

singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho

padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

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3 years ago

Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos a

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The integer is 3 or less than 3.

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2 years ago

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A recursive rule for an arithmetic sequence is a1=4;an=an−1−3 . What is the explicit rule for this sequence? Enter your answer i

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Answer:

The explicit rule for the arithmetic sequence is given by:

$a_n = a_1+(n-1)d$ ......[1]

where,

$a_1$ is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

$a_1 = 4$

$a_n = a_{n-1}-3$

The recursive formula for the arithmetic sequence is given by:

$a_n = a_{n-1}+d$

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

$a_n = 4+(n-1)(-3)$

⇒ $a_n = 4 -3n+3 = 7-3n$

Therefore, the explicit rule for this sequence is, $a_n = 7 -3n$

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