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posledela
2 years ago
6

A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family

size, household income, and household neighborhood (urban, suburban, and rural). The response variable in this model is _____.
Mathematics
1 answer:
notka56 [123]2 years ago
8 0

Answer:

Monthly household expenditures on groceries

Step-by-step explanation:

The response variable is the one for which measurements are desired and that depends on other variables.

In this case, family size, household income, and household neighborhood are independent variables, while the response variable is the monthly household expenditures on groceries.

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Leah decided to paint some of the rooms at her 51-room hotel. She needs 1/5 of a can of paint per room. If Leah had 6 cans of pa
netineya [11]

Answer:

Leah can paint 30 rooms.

Step-by-step explanation:

Each room requires \dfrac{1}{5} of a can of paint, this means painting 5 rooms requires

\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}=\dfrac{1+1+1+1+1}{5}=\dfrac{5}{5} =1

or 1 can paints 5 rooms.

So, if Leah has 6 cans of paint, then how many rooms can she paint?

Leah can paint

\dfrac{5\:rooms}{can} *6\:cans=\boxed{30\: rooms}

Leah can paint 30 rooms with 6 cans of paint.

5 0
2 years ago
If LO = 15x+19 and QN = 10x+2 find PN
svet-max [94.6K]

Answer:

PN=64\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

QN=\frac{1}{2}LO

substitute the given values

10x+2=\frac{1}{2}(15x+19)

solve for x

20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3

Find the length of PN

Remember that

PN=LO ----> diagonals of rectangle are congruent

LO=15x+19

substitute the value of x

LO=15(3)+19=64\ units

therefore

PN=64\ units

8 0
2 years ago
The lifetime of a cheap light bulb is an exponential random variable with mean 36 hours. Suppose that 16 light bulbs are tested
photoshop1234 [79]

Answer:

P(T

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{16})

Or equivalently:

X \sim Exp(\mu=16)

Solution to the problem

For this case we are interested in the total T, and we can find the mean and deviation for this like this:

\bar X =\frac{\sum_{i=1}^n X_i}{n}=\frac{T}{n}

If we solve for T we got:

T= n\bar X

And the expected value is given by:

E(T) = n E(\bar X)= n \mu= 16*36=576

And we can find the variance like this:

Var(T) = Var(n\bar X)=n^2 Var(\bar X)= n^2 *\frac{\sigma^2}{n}=n \sigma^2

And then the deviation is given by:

Sd(T)= \sqrt{n} \sigma=\sqrt{16} *36=144

And the distribution for the total is:

T\sim N(n\mu, \sqrt{n}\sigma)

And we want to find this probability:

P(T< 600)

And we can use the z score formula given by:

z=\frac{T- \mu_T}{\sigma_T}

And replacing we got this:

P(T

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Answer: Savings account - Apex

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