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Ludmilka [50]
3 years ago
6

Mr. Fix it want to fence a rectangular lot. He has 122 feet of fencing available. If the length is 25 feet more than the width,

what are the dimensions of the lot?
Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

Width = 18 feet

Length =  43 feet

Step-by-step explanation:

Width = x

Length = x +25

Perimeter = 122 feet

2 * (length + width) = 122

    2 * (x+25 + x) =122

          2x + 25 = 122/2

             2x +25 = 61

                   2x = 61-25

                     2x = 36

                       x = 36/2

                       x = 18 feet

Width = 18 feet

Length = 18 + 25 = 43 feet

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A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a
Jet001 [13]

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} }  \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

7 0
3 years ago
Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Greeley [361]

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0
3 years ago
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40% chance of him selling a candy bar
labwork [276]

Answer:

It will take him about 13 houses to sell the 5 candy bars.

Pat has an 18% chance of selling his last candy in the 11th house.

Step-by-step explanation:

Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:

5 / 0.40 = X

12.5 = X

So, it will take him about 13 houses to sell the 5 candy bars.

5/11 = X

0.45 = X

0.45 x 0.4 = 0.18

Thus, Pat has an 18% chance of selling his last candy in the 11th house.

4 0
3 years ago
The answers to the proof
Karolina [17]
Great work! But please show more of the picture
8 0
3 years ago
I've been stuck on this for a long time. I would greatly appreciate help.
choli [55]
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7

i hope this helps!
7 0
4 years ago
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