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Anna71 [15]
3 years ago
14

What is triangle angle sum theorem

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

The triangle angle sum theorem states that the 3 angles within the triangle must have a sum that equals 180 degrees.

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A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between fir
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Answer:

127.3 ft

Step-by-step explanation:

Our triangle has legs 90, 90, x. This is a special triangle when the hypotenuse is just one of the legs times the \sqrt{2\\}, thus 90\sqrt{2\\}. This is rounded to 127.3. Please mark as brainlienst.

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Directions for questions 4 &amp; 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz
GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender   Mean          Std. dev.     n

Female    2577.75      1916.29     67

Male        3809.42     2379.47     33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

M_d=M_1-M_2=2577.75-3809.42=-1231.67

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.96 \cdot 475.795=932.54

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

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3 years ago
A circle has 9 times the area of another circle. If the radius of the larger circle is 27 meters, find the radius of the smaller
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Answer:

Step-by-step explanation:

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One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the numbe
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Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}

If this helped you a Brainliest would be appreciated!

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