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rosijanka [135]
3 years ago
12

Your cousin wants to buy a coat and can spend at most $95. He has a coupon for $20 off any coat. Write an inequality to find the

original prices of coats he can afford.
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

Step-by-step explanation:

Your cousin wants to buy a coat and can spend at most $95. This means that the total amount of money that he can spend in buying the coat would be lesser than or equal to $95.

He has a coupon for $20 off any coat. Let x represent the cost of the coat. The amount that he can pay for the coat will be x - 20.

The inequality to find the original prices of coats he can afford would be

x - 20 lesser than or equal to 95

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erastova [34]

Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

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2 years ago
FindFind the length of the crust(arc) of the pizza
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Answer:

29.3 cm

Step-by-step explanation:

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now we know,

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Answer:

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Step-by-step explanation:

\text{The quadratic equation:}\\\\ax^2+bx+c=0\\\\a-coefficient\\\\c-constant\ term\\\\\text{We have}\ coefficient\ a=3\ \text{and}\ constant\ term\ c=-2.\\\\\text{Therefore the equation is:}\\\\3x^2+bx-2=0\\3x^2-2+bx=0\\bx+3x^2-2=0\\bx-2+3x^2=0\\-2+3x^2+bx=0\\-2+bx+3x^2=0

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3 years ago
Help help help please
torisob [31]
Answers:
The length of XY is 4
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Because we don't get the same length (for XY and ZW), this means that the segments are not congruent.

-------------------------------------------------------------

To find the length of segment XY, you can count the number of spaces between -7 and -3 to get 4 units. Or you can subtract and use the absolute value notation to ensure the result is positive

|-7-(-3)| = |-7+3| = |-4| = 4

Do the same for segment ZW. 
|2-8| = |-6| = 6


7 0
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