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3 years ago

What is the mean of the data set: 1, 3, 3, 5, 9 , 11, 13, 13, 20, 21 ?

Mathematics

1 answer:

insens350 [35]3 years ago

6 0

Step-by-step explanation:

mean=sum of observation by number of observation=1+3+3+5+9+11+13+13+20+21by 10=99by10

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An acre measures 4840 square yards. In a city a lot on which a single family house can be built measures 40 feet across and 100

maw [93]

We are required to find the percent of an acres is this lot

The percent of acres of the lot is 27.55%

Area of an acre = 4840 square yards

Area of the lot = Length × width

= 40 feet × 100 feet

= 4000 square feet

<em>convert feet to yards</em>

1 foot = 0.333333

4000 square feet = 1333.333 square yards

Therefore,

Area of the lot = 1333.333 square yards

percent of an acres is this lot = 1333.333 / 4840 × 100

= 0.2754820247933 × 100

= 27.548202479338

Approximately,

27.55%

Therefore,

The percent of acres of the lot is 27.55%

brainly.com/question/2236179

6 0

2 years ago

Write the log equation as an exponential equation. You do not need to solve for x.

Archy [21]

the answer is - 1/4

4 0

3 years ago

Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$

Reduce by dividing top and bottom by 2:

$1\frac{1}{15}$

Now for y:

$\frac{3\frac{1}{6}+3\frac{2}{3}}{2}$

Write the mix fractions as improper fractions:

$\frac{\frac{19}{6}+\frac{11}{3}}{2}$

Dividing by 2 is the same as multiplying by 1/2:

$\frac{19}{12}+\frac{11}{6}$

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

$\frac{19}{12}+\frac{22}{12}$

Since the denominators are the same we can write as a single fraction:

$\frac{41}{12}$

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

$3\frac{5}{12}$

So the midpoint is:

$(1\frac{1}{15},3\frac{5}{12})$ .

6 0

3 years ago

Read 2 more answers

What is the length of segment AB?

8_murik_8 [283]

Answer:

-1

Step-by-step explanation:

then the sum of the line come home x axis

-4+3=-1

8 0

2 years ago

Solve for x: 3/4x+5/8=4x

kompoz [17]

So, you have 3/4x + 5/8 = 4x. We can do this in two ways. Since fractions are harder to deal with, we can turn the fractions into whole numbers.

First we need to find the LCD (Least Common Denominator) between 4 and 8, which is 8. So multiply the 3/4x by 2/2, which gives you an equivalent fraction of 6/8x.

So now we have 6/8x + 5/8 = 4x. Now multiply both sides by 8, to get rid of the denominators of the fractions. That gives us 6x + 5 = 32x. Now use the subtraction property of equality to subtract 6x from both sides giving us 5 = 26x.

Now you can use the division property of equality to divide 26 on both sides, which gives us x = 5/26.

Hope this helps. :D Feel free to ask any other questions, and if you have any questions about my explanation, don't hesitate to ask.

6 0

3 years ago