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3 years ago

1. What is the value of x?

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

Answer:

d and ef

Step-by-step explanation:

efwfnhew'foehfnwekf;esf

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The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

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

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

8 0

3 years ago

Nelda needs to wrap a holiday gift box. The box is in the shape of a rectangular prism with the dimensions shown.

kari74 [83]

Answer:

416 in²

Step-by-step explanation:

Given that:

Height. h = 4 in

Length = 12 in

Width = 10 in

The surface area of a rectangular prism is obtained using the relation :

Surface Area, S = 2(lw + lh + wh)

S = 2[(10*12) + (10*4) + (12*4))

S = 2(120 + 40 + 48)

S = 2(208)

S = 416 in²

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3 years ago

Rodney has a board 5/6 yd long. He used 1/5 of the board to make a frame. How long is the board used to make the frame.

Katarina [22]

He uses 1/5 OF 5/6 of a yard. That "of" is very important, because it indicates that, to find the answer, you multiply the two together.

That being said (1/5) times (5/6) =5/30, which can be reduced to 1/6 yds to make the frame

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3 years ago

What angle relationship describes VQR and QRW?

Vlad [161]

Answer: alternate interior angles

Step-by-step explanation:

Got it Right on the test. :)

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The average price of a gallon of milk has constantly increased by $0.07 per year. In 2002, a gallon of milk cost $2.75. Which eq

Travka [436]

Answer:

5000o

Step-by-step explanation:

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