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zimovet [89]
3 years ago
14

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of2 large boxes and 12 small boxes has a t

otal weight of 199 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 133 kilograms. How much does each type of box weigh?
Weight of each large box:____ Kilogram(s)
Weight of each small box: ____ Kilogram(s)
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

x=wt of small box     y = large box wt

 

First delivery  

   5x  + 2y = 96      solve for y = (96-5x)/2

 

Second Delivery

  8y + 3x = 163       Substitute for y

  8 ( ( 96-5x)/2 ) + 3x = 163       and solve for x

   384 - 20x +3x = 163

17x=221

x=13   =   small box wt   kg               y= (96-5x)/2 = large box wt = 15.5 kg

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ANTONII [103]

Answer:

32.9-2.365\frac{4.9}{\sqrt{8}}=28.80    

32.9+2.365\frac{4.9}{\sqrt{8}}=37.00    

Step-by-step explanation:

Information given

\bar X=32.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=4.9 represent the sample standard deviation

n=8 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

the degrees of freedom are given by:

df=n-1=8-1=7

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and the critical value for this cae would be t_{\alpha/2}=2.365

Now we have everything in order to replace into formula (1):

32.9-2.365\frac{4.9}{\sqrt{8}}=28.80    

32.9+2.365\frac{4.9}{\sqrt{8}}=37.00    

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3 years ago
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Given:

The inequality is

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To find:

The solution of the given inequality on the number line.

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5.25-b\geq 6.5

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b\leq -1.25

The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.

-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.

b\leq -1.25, so the number line is shaded from the circle to negative 5.

A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

Therefore, the correct option is A.

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Answer:

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