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3 years ago

Evaluate −x+4y when x=−4/5 and y=1/3. Write your answer as a fraction or mixed number in simplest form.

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

Answer:

2 2/15 or 32/15

Step-by-step explanation:

Plug in -4/5 for x and 1/3 for y.

-(-4/5) + 4(1/3) =

4/5 + 4/3 =

12/15 + 20/15 =

32/15 = 2 2/15

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kiruha [24]

If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is

-1 -1

Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.

Therefore 2(-5) is -10 using integer tiles.

If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.

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3 years ago

Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick fiv

alisha [4.7K]

Answer:

The probability that at least two stocks will have a return of more than 12% is 0.1810.

Step-by-step explanation:

Let X = rate of return on stocks.

The random variable X follows a Normal distribution, N (9, 3²).

Compute the probability that a stock has rate of return more than 12% as follows:

$P(X\geq 12)=1-P(X$

**Use the z table for the probability.

The probability of a stock having rate of return more than 12% is 0.1587.

Now define a random variable Y as the number of stocks that has rate of return more than 12%.

The sample size of stocks selected is, n = 5.

The random variable Y follows a Binomial distribution.

The probability of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...$

Compute the value of P (X ≥ 2) as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-{5\choose 0}(0.1587)^{0}(1-0.1587)^{5-0}-{5\choose 1}(0.1587)^{1}(1-0.1587)^{5-1}\\=1-0.4215-0.3975\\=0.1810$

Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.

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3 years ago

I’ve been having trouble with these all week!

Kobotan [32]

Answer:

Step-by-step explanation:

so you will move constant to the right side and change the sign. 72x=223-7

then you will subtract the numbers 72x=223-7 and that will give you 72=216

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x=3 .

7 0

3 years ago

Read 2 more answers

Write the equation of a rational function g(x) with vertical asymptotes at x = -3 and x = 3 , a horizontal asymptote at y = -4 a

Bezzdna [24]

Answer:

The equation for rational function for given asymptotes is

f(x)=(-4x^2-6)/{(x-3)(x+3)}

Step-by-step explanation:

Given:

vertical Asymptotes at x=3 and x=-3 and a horizontal asymptote at

y=-4 i.e parallel to x axis.

To find:

equation of a rational function i.e function in form p/q

Solution;

the equation should be in form of p/q

Numerator :denominator.

Consider f(x)=g(x)/h(x)

as vertical asymptote are x=-3 and x=3

denominator becomes, (x-3) and (x+3)

for horizontal asymptote to exist there should have same degrees in numerator and denominator which of '2'

when g(x) will be degree '2' with -4 as coefficient and dont have any real.

zero.

By horizontal asymptote will be (-4x^2 -6)

The rational function is given by

f(x)=g(x)/h(x)

={(-4x^2-6)/(x-3)(x+3)}.

3 0

3 years ago