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4 years ago

Which is a compound event?

Mathematics

1 answer:

Annette [7]4 years ago

8 0

The second option i believe is correct

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What is the solution to the system of equations below?

Pachacha [2.7K]

Answer:

(-8, 2)

Step-by-step explanation:

set these equations equal to each other

1/2x + 6 = -3/4x -4

5/4 x = -10

x = -10x4/5 = -40/5 = -8

plug this x into one of the equations

y = 1/2 (-8) + 6

y = -4 + 6

y = 2

6 0

3 years ago

Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

$P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%$

The probability is 0.3721 or 37.21%.

4 0

3 years ago

You have a hat containing 8 red chips, 4 green chips, 5 yellow chips, and 3 white chips. Find the following probabilities and wr

e-lub [12.9K]

Step-by-step explanation:

There are 20 chips in total.

P(red) = 8/20 = 2/5

P(not green) = 16/20 = 4/5

P(yellow or green) = 9/20

3 0

3 years ago

A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

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:

$\mu = 115, \sigma = 17$