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Ket [755]
3 years ago
5

Compared to last year, the population of boom town has increased by 25%. The population is now 6,600. What was the population la

st year?
Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

5280people

Step-by-step explanation:

Given parameters:

Percentage increase of population  = 25%

Population now = 6600

Unknown:

Population last year = ?

Solution:

Let the population last year = y;

   Then;

   Percentage of last years population plus the population of last year should give us this year's population;

         (\frac{25}{100} of y) + y  = 6600  

           0.25y + y = 6600

            1.25y = 6600

                   y = \frac{6600}{1.25}   = 5280people

Last year, there was 5280people in the locality.

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The automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the groun
kirill115 [55]

Step-by-step answer:

Given:

mean, mu = 200 m

standard deviation, sigma = 30 m

sample size, N = 5

Maximum deviation for no damage, D = 100 m

Solution:

Z-score for maximum deviation

= (D-mu)/sigma

= (100-200)/30

= -10/3

From normal distribution tables, the probability of right tail with

Z= - 10/3

is 0.9995709, which represents the probability that the parachute will open at 100m or more.

Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.

P(all five safe) = 0.9995709^5 = 0.9978565

So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m

6 0
4 years ago
A group of 196 students needs to be seated in a square formation for a yearbook photo. How many students should be in each row?
givi [52]

Answer:

There should be a number of 14 students in each row

Step-by-step explanation:

Find the factors of 196 then find the Greatest factor pairs which give you the numbers of 14 and 14. Now you have your answer of 14 rows and 14 columns.

6 0
3 years ago
A craft store sells boxes of two different varieties of colored pencils. The table shows the number of boxes sold last month. Wh
vlada-n [284]

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

8 0
3 years ago
Which of these ordered pairs is a solution to the linear inequality 3y - 2x > 8?
Tanzania [10]
For this case we have the following inequality:
 3y - 2x> 8
 The first thing we should do is to graph the function.
 Then, see the set of points that are the solution of the inequality.
 The solution set is given by the shaded region.
 See attached image.
 Answer:
 
Shaded region.
 
See attached image.

3 0
4 years ago
Is 2/5 - (-5/6) positive,negative, or zero
malfutka [58]
It is positive.

Hope this helped.
6 0
3 years ago
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