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Sedbober [7]
3 years ago
6

How many triangles can be constructed with three sides measuring 11 meters,16 meters,and 26 meters?

Mathematics
1 answer:
topjm [15]3 years ago
5 0

You can only construct one triangle with three sides measuring 11 meters,16 meters, and 26 meters.

 

To add, a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
3 years ago
the area of a square pond is 5624m square and a 2m wide path is made around the pond. find area of path
natta225 [31]

Answer:

11248squaremeter

Step-by-step explanation:


5 0
3 years ago
*WILL GIVEE BRAINLIEST FOR THE BEST ANSWER* Which of the following is NOT a biased sample?
Dafna1 [17]

Answer:

A

Step-by-step explanation:

All other options are more biased

In B, the official wants to use 50 people from a library to represent the <u>entire town's</u> opinion on the library itself.... that's biased.

In C, it's the same. Of course basketball players would like to watch basketball.... right?? That's why the choice is biased.

In D, the location is a deli.... and from experience people order meat at a deli... cuz why else go there?

8 0
3 years ago
Name 1 thing you do regularly that involves math.
zhuklara [117]

Answer:

Cooking., You either end up with great food because you measured the and use the right amount of ingredients or food that isn't the best because you used too little or too much ingredients.

Bonus) For Time Management, it involves math by scheduling activities and other things such things in life at certain times and some things should be met within certain time limits and such.

5 0
3 years ago
Read 2 more answers
6.01 Properties of Exponents
Dmitry_Shevchenko [17]

Answer:

Rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is  negative.

Step-by-step explanation:

Considering the expression

X^{\frac{a}{b}}=\sqrt[b]{X^a};\:\:\:\:\:\:\:\:\:b\ne 0

Here:

  • b = index
  • a = exponent
  • X = radicand
  • √ = radical symbol

A rational exponent - an exponent that is a fraction -  is the kind of way we may write a root.

If the denominator is an even number, it means we are talking about an even root like square root, 4th root, 6th root etc.

For example, think about squaring a number

-4 × -4 = 16, 4 × 4 = 16

It means any number when it get multiplied by itself an even number of times, it would always yield a positive number.

It is not possible to take the square root of a negative number as we can not yield a negative number when we square the number. In other words, there is no way we can multiply the same negative number twice and get a negative number. This is why \sqrt{-1} is undefined.

Therefore, rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is  negative.

5 0
4 years ago
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