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2 years ago

What is the measure of angle x?

Mathematics

1 answer:

Dima020 [189]2 years ago

3 0

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

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For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills

Evgen [1.6K]

Answer:

99.93%

Step-by-step explanation:

Probability of Independent Events

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

$P(0)=q^4=0.16^4=0.00065536$

Thus, the probability that at least one of the systems detect the theft is

$P(x\geq1)=1-P(0)=1-0.00065536=0.9993$

That means a 99.93%

3 0

2 years ago

What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is:

Margaret [11]

I believe the answer should be A

5 0

3 years ago

Tom is an artist and plans to paint and sell some miniature paintings. The paint and canvas for each painting costs $10 and then

Crank

Answer:

Step-by-step explanation:

50+10=60

20 x 3= 60

5 0

2 years ago

The average person blinks about 360 times in 30 minutes. About how many times does a person blink in 9 minutes?

PilotLPTM [1.2K]

360 blinks / 30 minutes = 12 blinks per minute

12 blinks per minute x 9 minutes = 108 blinks

Answer: 108

4 0

2 years ago

Read 2 more answers

A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102

cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 1000

$\hat p$ = 0.102

$z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58$

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)$

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0

2 years ago