32 is 40% of what is the answer

Stewart wants to save for retirement and also pay off his mortgage. Each year, he has an extra $5,000. Should he put that extra

Evgesh-ka [11]

A) Yes, The tax benefits of Homeonership are similar to IRA tax breaks..!

Im not sure about my answer ..

hope it will help you dear ♡

7 0

3 years ago

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t

Wittaler [7]

Answer:

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,8)$

Where $\mu=30$ and $\sigma=8$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

We want to find a value a, such that we satisfy this condition:

$P(X>a)=0.15$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.04$

And if we solve for a we got

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

7 0

4 years ago

TripleME robots are a very special kind of robot. During the day they are like normal robots, but at night they triple themselve

QveST [7]

Mon 1
tue 3
wed 9
thur 27
fri 81
sat 243
sun 729

8 0

3 years ago

Describe the graph of the basic rational function, f(x)=1/x. Talk about its domain and range and compare the function to other o

Anna007 [38]

F(x) = 1/x is a special function. is called the multiplicative inverse or the reciprocal function. the specific shape of the graph is called a rectangular hyperbola.

negative values of x with produce negative values of f(x) and positive values will produce positive function values. so this hyperbola is symmetric with respect to the origin and all negative values are in Q3 and all positive values are in Q1.

as x gets farther and farther from 0 in either direction, you can see that 1/x will be an ever-increasingly smaller distance from the x-axis. indeed, the limit of this function is zero as x approaches either positive or negative infinity.

if x is between -1 and 1, then the value of f(x) increases until x = 0, the limit of the function as x approaches 0 being positive and negative infinity depending on which direction you are coming from.

the domain is all real numbers with the exception of 0

the range also happens to be all real numbers with the exception of zero. all that really means is that zero has no multiplicative inverse.

strictly speaking, this is an exponential function, as the function is f(x) = x^(-1).