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3 years ago

NEED HELP ON THIS ASAP!!

Mathematics

1 answer:

RSB [31]3 years ago

3 0

Answer:

Solution given:

<Q+<P=180°[su m of co interior angle is supplementary]

<Q+95=180

<Q=180-95

<Q=85

m<Q=85° degree

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Two married couples have purchased theater tickets and are seated in a row consisting of just 4 seats. If they take their seats

Licemer1 [7]

Answer:

The answer is 0.75.

Step-by-step explanation:

To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.

So there are in total 4 scenarios where no couple is sitting next to each other.

There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.

I hope this answer helps.

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3 years ago

What angle do the minute and hour hands make at 4:30??

seraphim [82]

Answer:

45°

Step-by-step explanation:

The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...

... (4.5/12)·360° = 135°

clockwise from straight up.

The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.

The difference between the angles of the hands is ...

... 180° -135° = 45°

3 0

3 years ago

Hey Guys! I need some help. This is the question... Sara travels often for her job. The miles she traveled for the last seven wo

Schach [20]

Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.

<h3>What are the median and the quartiles of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

The interquartile range is the difference of the quartiles.

The ordered data-set is given as follows:

65, 72, 86, 88, 91, 93, 97

There are 7 elements, hence the median is the 4th element, of 88. Then:

The first half is 65, 72, 86.

The second half is 91, 93, 97.

Since the quartiles are the medians of each half, the have that:

The first quartile is of 72 miles.

The third quartile is of 93 miles.

The interquartile range is of 93 - 72 = 21 miles.

More can be learned about the median of a data-set at brainly.com/question/3876456

#SPJ1

4 0

2 years ago

A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex

Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

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3 years ago

Which of the following shows as a mixed number and as an improper fraction?

Marysya12 [62]

There's no following. You need to post a picture or complete the question.

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3 years ago