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2 years ago

8

Jose weighed himself on monday and he weighed 170 pounds. Two weeks later he weighed 165 pounds. write a linera function in the

form y=mx+b to model jose's weight loss each week, where x is the number of weeks and y is joses weight.

1 answer:

sukhopar [10]2 years ago

7 0

Y= 2x-5 i believe lemme kno if it’s wrong

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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

What is the equation 22-2h=-5?

Marrrta [24]

Answer:

h = -9

Step-by-step explanation:

Simplifying

5h + 22 + -2h = -5

Reorder the terms:

22 + 5h + -2h = -5

Combine like terms: 5h + -2h = 3h

22 + 3h = -5

Solving

22 + 3h = -5

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + -22 + 3h = -5 + -22

Combine like terms: 22 + -22 = 0

0 + 3h = -5 + -22

3h = -5 + -22

Combine like terms: -5 + -22 = -27

3h = -27

Divide each side by '3'.

h = -9

Simplifying

h = -9

4 0

3 years ago

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

grigory [225]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where $p$ is pounds and $t$ is total cost:

UPS: $t=7+0.20p$

FedEx: $t=5+0.30p$

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

$7+0.20p=5+0.30p$

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is $0.20x$ . That would turn the equation into:

$7=5+0.10p$

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

$2=0.10p$

Now, you must divide both sides by $0.10$ .

$\frac{2}{0.10}=\frac{0.10p}{0.10}$

That would give us:

$20=p$

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

$t=5+0.30(20)$

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: $t=11$ .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

3 0

3 years ago

5(5t + 1) = 25t-7<br> Can someone help me with this solution??

masha68 [24]

Firstly you multiply 5 with everything in the brackets on the left side of = . and than you put t on the left side and change sign (if it was + then its going to be -) and numbers on right side and do the same with signs. then just calculate the rest

5(5t +1) = 25t - 7
25t + 5 = 25t - 7
25t - 25t = -7 + 5
0=-2
the statement is false

7 0

3 years ago

The data in the table represent the training times (in seconds) for Adam. Adam 103 105 104 106 100 98 92 91 97 101 Points Concep

Julli [10]

Answer:

A. Miguel has the greatest spread.

The range of the two persons can be determined by:

Adam's range = 106 -91 = 15

Miguel's range = 105 -86 = 19

B. Considering the middle 50% of the training time, the person with the least spread is Adam.

Adam - 103 105 104 106 100

Miguel - 88 86 89 93 105

Adam's 50% range = 106 - 100 = 6

Miguel's 50% range = 105 - 86 = 19

Adam has the least spread

C. Miguel is inconsistent with the time set for training compared to that of Adam.

The answers to parts 2a and 2b show that there is a wide variation in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.

3 0

3 years ago