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3 years ago

Can someone helpp???

Mathematics

1 answer:

neonofarm [45]3 years ago

6 0

AD and FC are perpendicular so they make a 90 degree angles. Angle BDC is equal to angle FDE so its 25. then u take 90 and subtract 25 to find the anser your looking for... so its 65

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A small lawnmower company produced 1,500 lawnmowers in 2008. In an effort to determine how maintenance-free these units were, th

ikadub [295]

Answer:

The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the average using the finite correction factor is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

The information provided is:

$N=1500\\n=183\\\sigma=1.47\\\bar x=3.3$

The critical value of z for 95% confidence level is,

z = 1.96

Compute the 95% confidence interval for the average number of years until the first major repair as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

$=3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)$

Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

7 0

3 years ago

A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud

kvv77 [185]

Answer:

375 Adult Tickets.

Step-by-step explanation:

Here, we can simply set up an equation using variable x in place of the unknown student/adult tickets.

x = # of adult tickets sold

x + 65 = # of student tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of adult tickets, to recieve the amount of childrens' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

5 0

2 years ago

Ms.Sack owns a grocerystore. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags

mars1129 [50]

99*2=$198
10*9=90
272-90=182/5=36.5

4 0

2 years ago

Read 2 more answers

Fill in the blank to this mathematics question

lorasvet [3.4K]

Answer:

x = 24 makes the original equation true

Step-by-step explanation:

2 < x ≤ 24

2 < x signifies x cannot be equal to 2

x≤24 signifies x can be equal to 24.

3 0

3 years ago

Suppose 72 gallons of water came out of a pipe in 8 minutes.

Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0

3 years ago