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Lostsunrise [7]
3 years ago
6

Kathy can clean 12 house in 10 hrs. If she goes at a steady pace. How many hrs. will it take her to clean 27 houses?

Mathematics
2 answers:
JulsSmile [24]3 years ago
6 0
To solve this, set up a proportion with X being our unknown. If she cleans 12 houses in 10 hours, she cleans 27 houses in X hours. It will look like \frac{12}{10} =  \frac{27}{x}.

Now cross-multiply to get 12x = 27(10) or 12x = 270. Divide by 12 on both sides to isolate x, X = 22.5.

It will take Kathy 22.5 hours to clean 27 houses. Must be some pretty small houses. 
FromTheMoon [43]3 years ago
6 0
12 houses/10 hours=1.2 house per hour
27 houses/1.2 houses per hour=22.5 hours
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We have to write an equation that states that the relationship between x and y is proportional.

Since x and y are proportional, so we can write symbolically  

y ∝ x

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So, this is the required equation. (Answer)

Geometrically it signifies that it is a straight line having constant slope k and it passes through the origin.  

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If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?​
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Find the determinant of 2P-3Q if P=(2/3-1/4) and Q=(2/0-3/5)​
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3 years ago
India is the second most populous country in the world, with a population of over 1 billion people. Although the government has
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a) P(X

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c) P(2 \leq X \leq 5)=P(x=2) +P(X=3) +P(X=4)+P(X=5)=0.12+0.18+0.24+0.13=0.67

Step-by-step explanation:

For this case we have the following probability distribution function:

X        P(X)

1         0.04

2        0.12

3        0.18

4        0.24

5        0.13

6        0.15

7         0.10

8         0.04

___________

Total     1.00

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For this case we want this probability:

P(X

Part b

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For this case we want this probability:

P(X \geq 5)=P(X=5) +P(X=6) +P(X=7) +P(X=8)= 0.13+0.15+0.10+0.04=0.42

Part c

What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

We want this probability:

P(2 \leq X \leq 5)=P(x=2) +P(X=3) +P(X=4)+P(X=5)=0.12+0.18+0.24+0.13=0.67

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QHome Spring 2020
raketka [301]

Answer:

(D)Equilateral Triangle

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Given a circle centre M; and

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The triangle formed by radii ML and MJ and chord JL is Triangle JLM.

Since ML=MJ (radii of a circle), the base angles are equal.

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We can see that all the angles of triangle JLM are 60 degrees, therefore Triangle JLM is an Equilateral Triangle.

8 0
3 years ago
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