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sukhopar [10]
3 years ago
13

6/4=x/18 what is the answer to this question or proportion

Mathematics
2 answers:
kykrilka [37]3 years ago
8 0
6/4 = x/18
cross multiply
(4)(x) = (6)(18)
4x = 108
x = 108/4
x = 27 <==

and notice that 6/4 and 27/18 both reduce to 3/2 because these are equivalent fractions and proportions are nothing but equivalent fractions
kotegsom [21]3 years ago
4 0
The answer is x=27. your welcome. :)
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If the density of quartz is 3.5 g/cm3 and the volume is 20 cm3 then what is the mass of this piece of quart?
SOVA2 [1]

Mass = density x volume

Mass = 3.5 x 20 = 70 grams

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3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
Suppose the temperature outside is dropping 3 degrees each hour. How much will the temperature change in 8 hours
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3 years ago
Can you help me find the value of X?
Rashid [163]

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Step-by-step explanation:

The side (z) opposite the 42° triangle can be found from the relation ...

  z/(3.6 cm) = tan(42°)

  z = (3.6 cm)·tan(42°) ≈ 3.2415 cm

The relationship between z and x is ...

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3 years ago
Learning Task 1: Illustrate the following fractions on your notebook.
Marizza181 [45]

Answer:

The illustration is found in the attachment below.

<em>Note: The correct order of the question is found below:</em>

<em>Learning Task 1: Illustrate the following fractions on your notebook.</em>

<em>a.)2/3 b.)7/9 c.)10/12 d.)8/12 e.)4/5 f.) 8/6 g.)9/4 h.) 28/10</em>

Step-by-step explanation:

a) Draw a rectangle of sides 3 cm by 1 cm. Divide the rectangle into three equal parts. Shade two out of the three parts to give the fraction 2/3

b)  Draw a rectangle of sides 9 cm by 1 cm. Divide the rectangle into nine equal parts. Shade seven out of the nine parts to give the fraction 7/9

c)  Draw a rectangle of sides 12 cm by 1 cm. Divide the rectangle into twelve equal parts. Shade ten out of the twelve parts to give the fraction 10/12

d)  Draw a rectangle of sides 12 cm by 1 cm. Divide the rectangle into twelve equal parts. Shade eight out of the twelve parts to give the fraction 8/12

e)  Draw a rectangle of sides 5 cm by 1 cm. Divide the rectangle into five equal parts. Shade four out of the five parts to give the fraction 4/5

f)  Draw two rectangle of sides 6 cm by 1 cm. Divide the rectangles into six equal parts each. Shade all the six parts of the first rectangle completely. Then, shade two out of the six parts of the second rectangle to give the fraction 8/6

g) Draw three rectangles of side 4 cm by 1 cm. Divide each of the three rectangles into four parts each. Shade completely the four parts of the first and second rectangle. Then, shade one part out of the four parts of the third rectangle to give the fraction 9/4

h) Draw three rectangles of side 10 cm by 1 cm. Divide each of the three rectangles into ten parts each. Shade completely the ten parts of the first and second rectangle. Then, shade eight parts out of the ten parts of the third rectangle to give the fraction 28/10

6 0
3 years ago
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