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Lemur [1.5K]
3 years ago
14

I would really like some help with this problem!​

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

City B

Step-by-step explanation:

In City B, the population increases by 10,000 every year, which is a constant rate

In City A, every year it changes by a different number

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For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
4 years ago
10. You just hung a picture twelve inches above the wall trim. Your friend thinks the picture looks
muminat

Answer:

The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level

Step-by-step explanation:

Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight

If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture

With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured

The angles measured should be the same if the picture is level.

5 0
4 years ago
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% o
andreev551 [17]

Answer:

150 dollhairs

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is k<br><br> k + 2 = 75
Lisa [10]

Answer:

k=73

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
5) The cost of two cakes is $5,what is the cost of nine cakes?
Zinaida [17]

Answer:

I think it’s 22.50 not sure tho

Step-by-step explanation:

If 2 = $5 then u divide 5 by 2 to find the per cost and then multiply with 9 cakes

5/2 = 2.5(9) = 22.5

4 0
3 years ago
Read 2 more answers
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