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3 years ago

What equivalent fractions for 2 3/5 and 1 1/3 using a common denominator

Mathematics

2 answers:

inysia [295]3 years ago

8 0

2 9/15 and 1 5/15 are your answers

sweet-ann [11.9K]3 years ago

4 0

Answer:

The common denominator is 15.

2 3/5 = 13/5 = 39/15

1 1/3 = 4/3 = 20/15

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4. At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, and the fol

valentinak56 [21]

Answer:

a) 0.0954

b) 0.9045

c) 0.1601

Step-by-step explanation:

We are given the following information:

We treat first-year students having computers as a success.

P(first-year students have computers) = 54.3% = 0.543

Then the number of first year students follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

a) P(None have computers)

$P(x =0) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3\\\\= 0.0954$

b) P(At least one has a computer)

$P(x \geq 1) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3+\binom{3}{1}(0.543)^1(1-0.543)^2+\binom{3}{3}(0.543)^3(1-0.543)^0\\\\=0.3402+0.4042+0.1601= 0.9045$

c) P(All have computers)

$P(x =3) \\\\= \binom{3}{3}(0.543)^3(1-0.543)^0\\\\= 0.1601$

3 0

3 years ago

(8.4 times 10 to the 2 power)(2.5 times 10 to the 6 power)

Lelu [443]

$8.4*10^2*2.5*10^6\to\boxed{21*10^8}$

4 0

3 years ago

Read 2 more answers

What is the median of the data set represented by the dot plot? A number line with line with two dots above the number 10, one d

Ierofanga [76]

There are 4 dots either side of the dot above 14, so 14 is the middle value.

The median of the data set is 14.

3 0

4 years ago

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If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?

VashaNatasha [74]

Answer:

$(-\infty, 0)$

Step-by-step explanation:

(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]

We have that:

$r(x) = 2 - x^{2}$

$w(x) = x - 2$

Composite function:

$w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}$

$-x^{2}$ is a negative parabola with vertex at the original.

So the range(the values that y assumes), is:

$(-\infty, 0)$

3 0

3 years ago

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Use the diagram to answer the following

Vedmedyk [2.9K]

Jswkaksksksksjbbcc
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3 years ago

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