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kykrilka [37]
2 years ago
6

Graph on a coordinate plane each set of (x, y) values. Which set of values describes two quantities that are in a proportional r

elationship?
A) (2, 6)(0, 2)(3, 8)
B) (1, 4)(2, 7)(3, 10)
C) (0, 4)(2, 7)(3, 8.5)
D) (3, 5.1)(0, 0)(5, 8.5)
Mathematics
1 answer:
Ray Of Light [21]2 years ago
8 0

Answer:

(3, 5.1)(0, 0)(5, 8.5)

Step-by-step explanation:

A proportional relationship occurs only with a linear relationship that goes through the origin.

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A punch recipe requires 2/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple
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2 1/2 = 5/2 
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<span>multiply by 2/5 </span>

<span>ratio : 1 : 6/25 (1 unit of soda to 6/25 units of pineapple)</span>
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A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
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% change = difference / original x 100

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In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc
Daniel [21]

Answer:

The  number is  N  =1147 students

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

    The sample size is  n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

             \frac{X - \mu }{\sigma }  =  Z  (Standardized \ value \  of  \  X )

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

                                         and  P(z_1 < -0.9012) =  0.18374

     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

           N  =1147

6 0
2 years ago
Alicia has 6 paintings she wants to hang side by side on her wall.
gayaneshka [121]

<u>Answer:</u>

A) 720 ways

B) 15 ways

C) 6 ways

<u>Step-by-step explanation:</u>

A) To find the number of ways Alicia can arranger her 6 paintings, we will find factorial of 6 by multiplying all of the positive integers equal to or less than that number i.e. 6 to get:

6! = 6 * 5 * 4 * 3 * 2 * 1 = 720

Alicia can arrange her paintings in 720 ways.

B) We use the following formula (when order is not important) to find the number of permutations of n objects taken r at a time:

P(n, r) = \frac{n!}{r!(n-r)!}

= \frac{6!}{4!(6-4)!}  = 15

Therefore, Alicia can choose any 4 of her paintings in 15 ways.

C) Number of ways Alicia can arrange 3 out of 6 paintings = 3! = 3*2*1 = 6 ways


3 0
2 years ago
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