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VashaNatasha [74]
3 years ago
15

-3w=-w-6. How many solutions

Mathematics
1 answer:
GaryK [48]3 years ago
6 0
There is one solution: w=3
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Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are
Nastasia [14]

Answer:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

\hat p=0.36 estimated proportion with the survey

p_o=0.41 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:  

Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

8 0
3 years ago
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I’m once again asking for your Mathematical support!
Sergio [31]

Answer:

Step-by-step explanation:

let x= hamburger

let y= hot dogs

Jalen:       5x+3y=28.50

Victoria:    2x+6y=21

is second choice

5 0
2 years ago
Bob’s family drinks 122 pints of sweet tea in a month how many gallons does he drink in one month
geniusboy [140]

Answer:

15.25 gallons

Step-by-step explanation:

4 0
2 years ago
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fifteen cars containing a total of 60 people crossed a toll bridge. each of the 15 cars contained at least 1 person but no more
leonid [27]
There would be a total of 15 cars because 60 divided by 3 is 15
7 0
3 years ago
Amazon charges a flat rate of $129 (yearly) for Amazon Prime and $7.99 for each H D movie rental.
Mekhanik [1.2K]

Answer:

a) Amazon Cost per year with "x" movie rentals = 129 + 7.99 x

b) You Tube Cost per year with "x" movie rentals = 144 + 4.99 x

c) with exactly 5 movie rentals per year the annual costs will be equal

d) In such case the total annual cost would be $168.95

Step-by-step explanation:

a) Let's analyze how to represent Amazon charges per year as a function of number of movies rented. There is a fixed membership cost of $129, and there is a $7.99 per movie rented. So if we rent "x" movies over the year, the total cost for just movie rentals would be the product of the number of movies (x) times the price each rental involves ($7.99) that in math terms can be written as: "7.99 x". And the total Amazon cost (AC) will include not just the annual membership of $129 but the amount we just estimated due to x movie rentals per year (7.99 x):

AC = 129 + 7.99 x

and the cost will come in dollars ($)

b) Now, doing something similar for You Tube, considering again "x" movie rentals, the yearly cost for You Tube (YC) would be the fix flat rate of $144, plus what it would cost to rent "x" movies at the price of $4.99 each:

YC = 144 + 4.99 x

c) In order to find how many movies (x) we need to rent to have the bill from both companies equal each other, we set the equation that equal the amazon cost to the You Tube cost (AC = YC), and solve for "x":

AC = YC\\129+7.99\,x=144+4.99\,x\\7.99\,x-4.99\,x=144-129\\3\,x=15\\x=\frac{15}{3} \\x=5

So this tells us that if we rent 5 videos per year, the cost of the two companies will be the same.

d) Now we need to find what that total cost would be, that we can do by using either cost expression (since for the 5 movie rental both should give the same cost). We use for example the You Tube cost equation and evaluate it for "x" (number of movie rentals) equal "5":

YC=144+4.99\,x\\YC=144+4.99\,(5)\\YC=168.95

Therefore, the annual cost in this case would be $168.95

7 0
3 years ago
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