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sattari [20]
3 years ago
10

If the mean of this data is 95, find the missing data 103,99,90,86,105,96 what is the missing data

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0
Let, the missing number = x
Then, 103 + 99 + 90 + 86 + 105 + 96 + x / 7 = 95
579+x = 665
x = 665 - 579
x = 86

In short, Your Answer would be 86

Hope this helps!
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180 degrees in a triangle. so 180-90-31=59
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Express the relation {(-3, 4), (-1, 2), (3, -4), (2, -2)} as a table and a graph. What is the domain and range?
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2 years ago
If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of
gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

Scale=\frac{distance on the map}{distance in reality}

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}

Solving:

\frac{3.7 inches}{175 km}×distance in reality= 5.7 inches

distance in reality= \frac{5.7 inches}{\frac{3.7 inches}{175 km}}

<u><em>distance in reality= 269.59 km</em></u>

In summary, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

Learn more about map and scale:

brainly.com/question/24693076

brainly.com/question/13150795

brainly.com/question/27928319

#SPJ1

8 0
1 year ago
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

Thus, the monthly payment will be approximately $1140


b. The <u>total amount paid</u> over the term of the loan will be: \$ 1140*360 months = \$ 410400


c.   As the principal amount was $225000 , so the amount of interest = (\$ 410400- \$ 225000)= \$ 185400

So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

4 0
3 years ago
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