How many sides are there?

A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs

Inessa05 [86]

Answer:

0.0016283

Step-by-step explanation:

Given that:

Proportion of defective bulbs, p = 30% = 0.3

Sample size, n = 19 bulbs

Probability that the lot will pass inspection :

P(none of the 19 is defective) Or P(only one of the 19 is defective)

P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19

0.7^19 = 0.0011398

P(only one of the 19 is defective) :

P(1 defective) * P(18 not defective )

(0.3) * (1 - 0.3)^18

0.3 * 0.7^18

0.3 * 0.001628413597910449 = 0.0004885

Hence,

P(none of the 19 is defective) + P(only one of the 19 is defective)

0.0011398 + 0.0004885) = 0.0016283

8 0

3 years ago

(2+2w)⋅4+9(w+3) please answer this I am very confused

defon

Answer:

17w+35

Step-by-step explanation:

(2+2w)⋅4+9(w+3)

Distribute the 4 and the 9

2*4 + 2w*4 +9*w+9*3

8+8w +9w +27

Combine like terms

8w+9w +8+27

17w +35

8 0

3 years ago

Read 2 more answers

You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid

ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 250, \sigma = 75$

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{250 - 150}{75}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 150}{75}$

$X - 150 = 1.645*75$

$X = 274$

274 shelters will be needed.

5 0

3 years ago

How can you write the statement "Obtuse angles have a greater measure than acute angles" so that it is a good definition?

Ilia_Sergeevich [38]

Answer:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.

Step-by-step explanation:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.

6 0

3 years ago

Antonio Ruiz pays a monthly premium of $175 for health insurance. He can purchase dental care and vision

otez555 [7]

Answer: $240.83
explanation:

Since he pays health insurance MONTHLY, you multiply 175x12=1200.

Since the others are yearly, just add those too 1,200.

1200+595+195=2,890.

Since you are looking for his monthly total you want to divide 2,890 by 12. Giving you the answer $240.83

5 0

3 years ago