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Vikki [24]
4 years ago
5

which of the following properties could be used to rewrite the expression (2/3•1/5)•5/2 as 2/3•(5/2•(5/2•1/5) sorry to ask Su ma

ny? but this test us something else
Mathematics
1 answer:
slamgirl [31]4 years ago
8 0
The original expression is given by:
 ( \frac{2}{3}*\frac{1}{5})*\frac{5}{2}
 The correct way to rewrite the expression is given by:
 \frac{2}{3}*(\frac{5}{2}*\frac{1}{5})

 For this, we use two properties:

 Associative property:
 The way of grouping the factors does not change the result of the multiplication:
 \frac{2}{3}*(\frac{1}{5}*\frac{5}{2})

 Commutative property:
 
The order of the factors does not vary the product:
 \frac{2}{3}*(\frac{5}{2}*\frac{1}{5})
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Answer:

60.

Step-by-step explanation:

This is a permutation exercise because order matters. The formula is n!/(n-r)!. In this case n=5 and r=3 so,

5!/(5-3)! = 5!/2! = 5!/2 = (5*4*3*2*1)/2 we can simplify the 2 and obtain 5*4*3= 60.

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3 years ago
A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana,
kenny6666 [7]

Answer:

(b) \frac{1}{2}

Step-by-step explanation:

1 male named Bart (b)

3 females named Charlene(c), Diana(d), and Erin(e).

Since there is replacement, the possible samples are:

bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.

Total Number of pairs = 16

Event of picking 2 males:bb

Event of 1 male:bc,cb,bd,db,be,eb

Event of picking 0 males:

cc, cd, ce, dc, dd, de, ec, ed, and ee.

\begin{equation*} \begin{matrix}Proportion of males & Probability \\0 & 9/16 \\1 & 6/16 \\2 & 1/16 \end{matrix} \end{equation*}

b. The mean of the sampling distribution

\mu = (\frac{9}{16} X0 ) +(\frac{6}{16} X 1)+(\frac{1}{16} X 2) = \frac{8}{16} = \frac{1}{2}

c.  No; the proportion of males is \frac{1}{4} while the mean is \frac{1}{2}.

B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.

7 0
3 years ago
SHORT ANSWER Use the Distributive
Monica [59]

Answer:

5(5 + 2)

Step-by-step explanation:

The distributive property states that If 2 numbers have a common factor you can divide the common factor out. Similarily, if they share a common factor, you can distribute the common factor into each number in the parenthesis.

Find the factors of 25 & 10:

25: 1, 5, 25

10: 1, 2, 5, 10

Note that the largest common factor is 5. Divide 5 from both number:

(25 + 10)/5 = 5(5 + 2)

5(5 + 2) is your answer.

~

8 0
4 years ago
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