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Gekata [30.6K]
2 years ago
8

Zahra plans to draw a triangle with angles measuring 50 , 60 , and 70 . Which is true about Zahra's plan? Zahra cannot make a tr

iangle with these angle measures. Zahra can only draw one unique triangle with these angle measures. Zahra can make exactly two triangles with these angle measures. Zahra can make more than one triangle with these angle measures.
Mathematics
2 answers:
Tasya [4]2 years ago
7 0

Answer:

Zahra can make more than one triangle with these angle measures.

Step-by-step explanation:

Let's analyse each of the statements:

1 - "Zahra cannot make a triangle with these angle measures"

The sum of the internal angles of a triangle must be 180 degrees. The angles she chose are 50, 60 and 70, and the sum is 50+60+70 = 180.

So the statement is FALSE

2 - "Zahra can only draw one unique triangle with these angle measures"

FALSE.

If the angle requirements are met, she can draw an infinite number of triangles with that angles, changing only the length of the sizes.

3 - "Zahra can make exactly two triangles with these angle measures.".

FALSE.

The argument is the same as in item 2.

4 - "Zahra can make more than one triangle with these angle measures."

TRUE. The argument is the same as in item 2.

Mars2501 [29]2 years ago
4 0

Answer:

Zahra can make more than one triangle with these angle measures. (D)

Step-by-step explanation:

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2 years ago
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If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?
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Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

C = 9 * 10^2kg

C = 9 *100kg

C = 900kg

B = 1.8 * 10^5kg

B = 1.8 * 100000kg

B = 180000kg

Divide the bigger weight by the smaller weight

\frac{B}{C} = \frac{180000kg}{900kg}

\frac{B}{C} = \frac{180000}{900}

\frac{B}{C} = {200}{}

Multiply both sides by C

C * \frac{B}{C} = {200}{} * C

B = {200}{} * C

B = 200}C

<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>

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2 years ago
In box kernel density estimation, _____________________. a. None of the options b. The histogram is decentralized over several d
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Answer:

b. The histogram is decentralized over several data points.

Step-by-step explanation:

Kernel density estimators can be classified as non-parametric density estimators. The Kernel density estimators first smooth each data point into a density bump, then sum them up to obtain the final density estimated curve. A good histogram analysis skill is reqired to understand kernel density estimators.

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Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
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Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

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So the matrix A should be:

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8 0
2 years ago
Data from 14 cities were combined for a​ 20-year period, and the total 280 ​city-years included a total of 107 homicides. After
leonid [27]

Answer:

P(0) =  0.6825

P(1) = 0.2607

Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}  

Mean=   107/280 = 0.382  

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=0) =  e  −0.382  (0.382)⁰​/1  

= (0.6825)(1) /1  

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=1) =  e  −0.382  (0.382)¹​/1  

= (0.6825)(0.382)/1  

P(X=1) = 0.2607

Thus, the probability that zero homicides P(0) is 0.2607.

​

5 0
2 years ago
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