All categories

2 years ago

1.Explain how to find equivalent fractions for 9/12 2.Explain how to simplify 16/24

Mathematics

1 answer:

krok68 [10]2 years ago

4 0

1. 9/12 divide top and bottom by 3

3/4

now you can multiply the top and bottom by the same number and get an equivalent fraction

3/4 * 2/2 = 6/8

3/4 * 5/5 = 15/20

these are all equivalent fractions to 9/12 = 3/4 = 6/8 = 15/20

2. 16/24

divide the top and bottom by 8

2/3

This is as small as it goes (keep dividing until there is no number that will go into the top and the bottom evenly).

You might be interested in

Find one terminating and one repeating decimal between -1/2 and -1/3

Romashka-Z-Leto [24]

-0.4742 and -0.488888888

Correct me if I am wrong.

7 0

2 years ago

What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale

weeeeeb [17]

Answer:

225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

6 0

2 years ago

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

2 years ago

Prove that x-s-t is a factor of x^3 - s^3 -t^3 -3st(s+t)

inessss [21]

1. Introduction. This paper discusses a special form of positive dependence. Positive dependence may refer to two random variables that have a positive covariance, but other definitions of positive dependence have been proposed as well; see [24] for an overview. Random variables X = (X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and E|f(X)g(X)| all exist [13]. This notion has important applications in probability theory and statistical physics; see, for example, [28, 29]. However, association may be difficult to verify in a specific context. The celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in [14], introduces an alternative notion and establishes that X are associated if ∗ SF was supported in part by an NSERC Discovery Research Grant, KS by grant #FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme PIOF-GA-2011-300975. MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48 Keywords and phrases: Association, concentration graph, conditional Gaussian distribution, faithfulness, graphical models, log-linear interactions, Markov property, positive

8 0

2 years ago

What is 1 + 6r + r > -27

Sav [38]

Answer:

Step-by-step explanation:

scradel spindle speed of the mechanical 1

8 0

3 years ago