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3 years ago

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in the equation 6+3y=4y+2 the variable y represents the same value. Is y= 2,3,4 or 5 the solution of this equation? Explain how

you know

2 answers:

kherson [118]3 years ago

3 0

6 + 3y = 4y +2
3y - 4y = 2 - 6
-y = -4
y = 4

hope that helps :)

alukav5142 [94]3 years ago

3 0

It's 4 because if you multiply 4 with the Y numbers. 6 + 3y= 6 + 12y= 18 4y + 2= 16y + 2= 18 Hope I'm helpful

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A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse

Ludmilka [50]

Answer:

a

The null hypothesis is $H_o : \mu = 180$

The alternative hypothesis is $H_a : \mu < 180$

b

The decision rule is fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 3 \ minutes = 180 \ seconds$

The sample size is n = 25

The excel sheet is show on the first uploaded image

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 180$

The alternative hypothesis is $H_a : \mu < 180$

Generally the sample mean is mathematically represented as

$\= x = \frac{156 + 136 + \cdots + 181}{25}$

=> $\= x = 173.2$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }$

=> $\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }$

=> $\sigma = 24.261$

Generally the test statistics is mathematically represented as

$t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }$

=> $t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }$

=> $z = -1.40$

Generally p-value is mathematically represented as

$p-value = P(Z < z)$

=> $p-value = P(Z < -1.40)$

From the z-table

$P(Z < -1.40) = 0.080757$

=> $p-value = 0.080757$

From the obtained value we that $p-value > \alpha$

The decision rule is fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

5 0

3 years ago

Simplify your answer completely. -2 4/6 / -2/3

skad [1K]

Your answer is 2. Hope this helps!

4 0

3 years ago

Read 2 more answers

The set of points (1, 3), (3, 5), (4, 7) is collinear. ture or false

Mekhanik [1.2K]

(1,3)(3,5)
slope = (5-3) / (3-1) = 2/2 = 1

(3,5)(4,7)
slope = (7-5) / (4-3) = 2/1 = 2

False....they are not collinear because they have different slopes and do not lie on the same line

3 0

3 years ago

susan is driving to her cousin’s house. Susan drives 3 miles every minute. if her cousins house is 40 minutes away, how many mil

lisabon 2012 [21]

Answer:

it would be 125 miles.

Step-by-step explanation:

3 miles a minute for 40 minutes would be 40 x 3 which equals 120.

add the 5 miles going to the store would be 125.

I THINK I DID IT IM SO PROUD RN.

7 0

3 years ago

Hurry 50 points for correct answer

Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation $x=\sqrt{6x+7}$ can be solved by squaring both sides:

$x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0$

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

$1 = \sqrt{-1}\\ 7 = \sqrt{49}$

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0

3 years ago