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Arturiano [62]
3 years ago
11

I want to buy a gift for my husband, this gift costs $103.50, I am only able to save $5 out of my paycheck and I get paid bi-wee

kly, how many weeks would it take me to save up the money?
Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

Step-by-step explanation:

number of weeks=103.50/5=20.7 bi-weeks

so she needs 21 bi-weeks or 42 weeks

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Let W be the subspace of R5 spanned by the vectors w1, w2, w3, w4, w5, where
Gwar [14]
To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors. 

<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>

<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>

<span>However, the given set of vectors is not independent, since </span>
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<span>therefore an orthogonal basis cannot be found. </span>
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3 years ago
Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 3
erik [133]

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

Step-by-step explanation:

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".  

Solution to the problem

Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:

X \sim N(298,3)  

Where \mu=298 and \sigma=3

We are interested on this probability

P(X

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}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

4 0
3 years ago
In a study to add a new feature to a software program, the programmer introduced two categories, men and women, in the survey sh
Alenkinab [10]

The given study is observational study

To gauge how strongly two variables are related to one another, correlation coefficients are used.

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.

To know more about statistic indicator

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5 0
1 year ago
In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to
Ede4ka [16]

Answer:

0.632

Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p

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i.e. P(both) = p(3p) =3p^2

This is given as 0.2

3p^2 =0.2\\p = 0.258

the probability that a homeowner purchases exactly one coverage.

=P(AUB)-P(A \bigcap B)

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

= 0.258+3(0.258)-2(0.2)\\=0.632

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Which of the following is a factor of 2xy+8x-8x-32
IrinaVladis [17]
If you simplify 2xy+8x-8x-32 you get 2xy-32
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