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lisabon 2012 [21]
3 years ago
12

Select each quadrilateral that has exactly one pair of parallel sides.

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0
Trapezoid and isocseles trapezoid
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The diagram shows a sketch of John's yard. He wants to plant grass, so he must calculate the area of the yard. The distance from
Arturiano [62]

The area of the yard is 50,600 square feet.

Option: C.

<u>Step-by-step explanation:</u>

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

The CD is the lower base (b) and its length is 260 feet.

A straight line distance from AB and CD is the height (h) and its measures as 220 feet.

The area of trapezoid A= \frac{a+b}{2} (h).

A= \frac{200+260}{2} (220).

=\frac{460}{2}(220).

=230(220).

=50600 ft^2.

Thus the area of John's yard is 50,600 square feet.

3 0
3 years ago
Whats 1 + 1<br><br> plz answer thisssssssssssssss
kow [346]

Answer:

1 + 1= 2

Step-by-step explanation:

because if u add 1 + 1 u will get 2

4 0
3 years ago
Read 2 more answers
The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sampl
Westkost [7]

Answer:

1963.2 pounds (lbs.)

Step-by-step explanation:

Things to understand before solving:

  • - <u>Normal Probability Distribution</u>
  1. The z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: Z=\frac{X-u}{a}

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.

  • - <u>Central Limit Theorem</u>
  1. The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц  and standard deviation s=\frac{a}{\sqrt{n} }

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.

This means, ц  = 2000 and б = 100.

A random sample of 20 cables is chosen and tested.

This means that n = 20, s=\frac{100}{\sqrt{120} } =22.361

Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.

This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So Z=\frac{X-u}{a}

  • By the Central Limit Theorem

Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361

X =1963.2

<h3>Answer:</h3>

The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.

3 0
2 years ago
How many gallons of water does a 12 foot by 30 inch pool hold?
Oksi-84 [34.3K]
It holds 1,353 gallons of water
6 0
3 years ago
Find the mean, median, and mode of the data set. Round to the hundredths, if necessary. 29,300 24,350 32,400 15,100 14,200 21,95
Sav [38]

The mean of the data is 20038.24, the median is 16050 while the number with the highest frequency is 11500

<h3>Mean, median, and mode of a dataset</h3>

Mean are known as averages, median is the middle value after rearrangement while the mode is the value with the highest frequency

Calculate the mean

Mean = sum of data/sample size

Given the data

29300, 24350, 32400, 15100, 14200, 21950, 27450, 29400, 15200, 35050, 16050, 11500, 13050, 11500, 11600, 11100, 21450

The mean of the data is 20038.24

For the median being the value at the middle, the median is 16050 while the number with the highest frequency is 11500

Learn more on mean, median and mode here: brainly.com/question/14532771

3 0
2 years ago
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