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2 years ago

Kevin is looking for a job as a piano technician. One classified ad lists a job that

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

7 0

Step-by-step explanation:

Let's assume there are 365 days in a year (If you need to calculate the leap years in just add .25)

365/7=52.14 weeks. $64,600/52.14=$1,238.9. $1,238.9-$1,120=$118.9=$119

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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

2 years ago

Can someone please help with this i don’t know that answer and I want to pass

Nataliya [291]

¹¹/48 of the full cup

Step-by-step explanation:

We add the two fraction first to determine the total ratio

¹/4 + ²/3 = ¹¹/12

She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice

Therefore;

¼ : ¹¹/12

How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12

? (x) : ¹²/12

We cross multiply the ratios;

¹²/12 * ¼ = ¹¹/12 * x

³/12 = ¹¹/12 x

³/12 * ¹²/11 = x

¹¹/48 = x

5 0

2 years ago

complete the solution of the equation. Find the value of y when x equals 9. 3x + 4y = 43 Enter the correct answer.

3241004551 [841]

3(9)+4y=43
27+4y=43
4y=16
Y=4

4 0

2 years ago

The point (x,y) is first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected acro

dangina [55]

Answer:

Karen needs to take her pet kitten, Scooter, to the vet for a checkup. It's hard to get Scooter into his carrying case for the trip to the vet. He never wants to go! Scooter's carrying case has a rectangular front that is 11 inches wide and 9 inches tall. The case is 16 inches long. What is the volume of Scooter's carrying case?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A plane is traveling at a rate of 500 miles per hour. The remaining fuel can last for up to 1500 miles.

Tju [1.3M]

Answer:

d. since we know it can travel 500 mph and it has enough fuel to fly for another 1500 miles. it can fly for 3 more hours, the reason D is the correct answer is since the plane can't fly more than 3 hours so it will fly for 3 hours exactly or less

6 0

2 years ago