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irga5000 [103]
2 years ago
7

Have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distribut

ed. what is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?
Mathematics
1 answer:
Oliga [24]2 years ago
6 0
Standardised z score = (16.075 - 16) / 0.2  =  0.375

which gives a probability of 0.1462  for  selecting a package of weight 16.075

the probability of weight being excess of 16.075 = 0.5 - 0.1462 =  03538

Probability of picking 16 in excess of 16-075 = 0.3538^16 =  6.0273 * 10^-8
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Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation:  For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing.  so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.  


Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975.  .975 shows that 53,594,378 is about 97.5% of 55,317,240.  You then subtract the numbers 100 and 97.5 to get 2.5.  2.5 is the percentage that the population is increasing by.  So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862.  This is the amount of people the population increased by.  Then you just put your answer that the population increased.  That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0
3 years ago
How do you prove similarity in math?
ra1l [238]

Answer:

AA (Angle-Angle): If triangles have two of the same angles, then the triangles are similar. SAS (Side-Angle-Side): If triangles have two pairs of proportional sides and equal included angles, then the triangles are similar.

Step-by-step explanation:

3 0
10 months ago
What is 240 times 365?
Tanzania [10]
Hey there

<span>240 times 365 can be written as 240 x 356. 

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6 0
3 years ago
Read 2 more answers
Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross
Sunny_sXe [5.5K]

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

b = \frac{60}{cos(30)}  = 40\cdot \sqrt{3} \ inches

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

3 0
2 years ago
Emery makes 8 necklaces and 3 bracelets, using a total of 172 beads. Then she makes 1 more necklace and 5 more bracelets, using
DIA [1.3K]

Answer:

15 beads per bracelet

Step-by-step explanation:

8 0
3 years ago
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