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3 years ago

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Which of the following is equivalent to the expression below? 2/9 times 3/4 A-2/9 divided by 3/4 B-3/4 divided by 2/9 C-2/9 divi

ded by 4/3 D-9/2 divided by 4/3

1 answer:

erastovalidia [21]3 years ago

7 0

Answer:

C, 2/9 divided by 4/3

Step-by-step explanation:

Because when you divide a fraction you are actually multiplying the reciprocal so $\frac{2}{9} \\$ ÷ $\frac{4}{3} =\frac{2}{9}$ × $\frac{3}{4}$

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Here are the prices of five new pairs of hockey skates, in dollars: 59, 60, 65, 99, 175. The standard deviation is about $49. If

Phoenix [80]

Answer:

The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

Step-by-step explanation:

The prices are given to be : 59, 60, 65, 99, 175

Standard deviation = $49

Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.

But, we add a new price in the given data that is $450

$\text{New standard deviation = }\sqrt{\frac{\sum (\bar{x}-x_i)^2}{n}}\\\\\bar{x}\text{ is the mean of data after adding 450 and}\\x_i\text{ are the price values of the sample data}$

Hence, Standard deviation is calculated to be 139.5

Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

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3 years ago

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Varvara68 [4.7K]

Answer:

{2 , 4} is the answer of this question.

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3 years ago

In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards

Oksi-84 [34.3K]

Step-by-step explanation:

It doesn't matter what order they are drawn in, so youi have a combination problem

26C5

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It is 65780

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3 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

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3 years ago

Jacob weights 36.4 pounds and alice. weights 42.275 pounds. how much do they weigh together

QveST [7]

Answer:

78.675 pounds

Step-by-step explanation:

36.4 + 42.275 = 78.675 pounds

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3 years ago

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