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Pavel [41]
3 years ago
11

Which statement explains why one of these triangles is a right triangle? HELP ME!!

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

Triangle B

Step-by-step explanation: Look at the square figure on one of the corners. That means that your triangle is a right triangle, which means, its measurement on that corner is 90 degrees

torisob [31]3 years ago
7 0

Answer:

Triangle B has a right angle because it is on the corner and the right angle is a perfect square.

right angle=to 90 degrees

Hope that was helpful.Thank you!!!

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X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor
VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0
2 years ago
Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b
kramer

Answer:

(a)

\bar x = 0.0075

s = 0.0049

(b)

B. The sample is too small to make judgments about skewness or symmetry.

Step-by-step explanation:

Given:

n = 8

\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 \ \end{array}

Solving (a):

First, calculate the difference between the recorded TBBMC for both operators:

\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 &{|1 - 2|} &0.003 & 0.015 & 0.006 & 0.004 & 0.002 & 0.010 & 0.005 & 0.015 \ \end{array}

The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.

The mean is then calculated as:

\bar x = \frac{\sum x}{n}

\bar x = \frac{0.003 + 0.015 + 0.006 + 0.004 + 0.002 + 0.010 + 0.005 + 0.015}{8}

\bar x = \frac{0.06}{8}

\bar x = 0.0075

Next, calculate the standard deviation (s).

This is calculated using:

s = \sqrt{\frac{\sum (x - \bar x)^2}{n}}

So, we have

s = \sqrt\frac{(0.003 - 0.0075)^2 + (0.015 - 0.0075)^2+ (0.006- 0.0075)^2+ ....... + (0.005- 0.0075)^2+ (0.015- 0.0075)^2 }{8}s = \sqrt\frac{0.00019}{8}

s = \sqrt{0.00002375

s = 0.0049

Solving (b):

Of the given options (A - E), option B is correct because the sample is actually too small

6 0
3 years ago
Cylinder that have the same base area and height. The volume of the prism is given by the formula V=lwh. In the formula for the
valentina_108 [34]

Answer:

3.

The length x width is the area so we have to replace it with the area of the cylinder.

The area of a circle is pi x radius^2

Hope this helps

Step-by-step explanation:

7 0
3 years ago
What is the quotient (6x4 + 15x3 − 2x2 + 10x − 4) ÷ (3x2 + 2)
Vika [28.1K]

Answer:

3.125

Step-by-step explanation:

4 0
3 years ago
Can somebody please explain and answer this for me? I really don't get it.
Tcecarenko [31]

Answer:

Results can be (-\frac{1}{3} )^5

Step-by-step explanation:

-The solution for this question:

(-\frac{1}{3} )^5 is equal to  (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3}) × (-\frac{1}{3})

-The calculation for (-\frac{1}{3} )^5:

(-\frac{1}{3} )^5 = -\frac{1}{243}

3 0
3 years ago
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