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Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite

labwork [276]

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

$P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328$

Hence, the required probability is 0.1328.

6 0

2 years ago

Select the expression that represents the large rectangles total area.

LenKa [72]

2,3 I think that’s the answer

3 0

2 years ago

Which best describes the relationship between the lines? 2x – y = −7 2x + 4y = 2

seropon [69]

Answer:

Perpendicular

Step-by-step explanation:

2x - y = -7

2x + 4y = 2

-y = -2x - 7

4y = -2x + 2

y = 2x + 7

y = -1/2x + 1/2

Cannot be:

Parallel because the slope would otherwise be the same.

Same line because the equation is not proportional

So, they are perpendicular because a perpendicular line would be a negative and a reciprocal of the current line

8 0

2 years ago

Read 2 more answers

What the answer to this?

garik1379 [7]

Answer:

Step-by-step explanation:

$9-5\div (8-3)\times 2+6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\=9-5\div \:5\times \:2+6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\div \:5\times \:2\::\quad 2\\=9-2+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:9-2+6\:\\:\quad 13$

7 0

2 years ago

For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going alo

kompoz [17]

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

to

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

8 0

2 years ago