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3 years ago

X/9 -1=5 X=? 9y+1=7 Y=? 3z/7 + 3=-7 Z=

Mathematics

2 answers:

AysviL [449]3 years ago

6 0

X/9 -1=5
X=?

9y+1=7
Y=?

3z/7 + 3=-7
Z=
X=54
Y=1/3
Z=-23 1/3

rjkz [21]3 years ago

5 0

x/9 -1 = 5

add 1 to both side of the equation

x/9 = 6

multiply both side of the equation by 9

x = 54

9y + 1 = 7

subtract 1 from each side of the equation

9y = 6

divide both side of the equation by 9

y = $\frac{6}{9}$

divide the numerator and the denominator by 3 in order to simplify your fraction

y = $\frac{2}{3}$

3z/7 + 3 = -7

subtract 3 from each side of the equation

3z/7 = -10

multiply both side of the equation by 7

3z = -70

divide both side of the equation by 3

z = $\frac{-70}{3}$

There you go! I really hope this helped, if there's anything just let me know! :)

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Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mar

Mamont248 [21]

Answer:

The 95% confidence interval is

$0.7811 < p < 0.9529$

Generally the interval above can interpreted as

There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval

Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable

$n = 125 \ stores$

Step-by-step explanation:

From the question we are told that

The sample size is n = 60

The number of stores that had more than 2 items price incorrectly is k = 52

Generally the sample proportion is mathematically represented as

$\^ p = \frac{ k }{ n }$

=> $\^ p = \frac{ 52 }{ 60 }$

=> $\^ p = 0.867$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{ 0.867 (1- 0.867)}{60} }$

=> $E = 0.0859$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.867 - 0.0859 < p < 0.867 + 0.0859$

=> $0.7811 < p < 0.9529$

Generally the interval above can interpreted as

There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval

Considering question b

Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable

Considering question c

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n= [\frac{1.645 }}{0.05} ]^2 * 0.867 (1 - 0.867 )$

=> $n = 125 \ stores$

4 0

3 years ago

I think it is c, am I right?

Sphinxa [80]

Answer:

Yes

Step-by-step explanation:

8 0

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Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

Principle amount = Principle sum + The interest.

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... 450 = 3000×r×3

... 450 = 9000×r

... r = 450 / 9000

... r = 0.05

... r = 5%

As we need the answer in the decimal form, the answer would be 0.05

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Answer:

Step-by-step explanation:

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2nd = 1/2x2x2 = 2

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