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3 years ago

Match each table showing a proportional relationship between x and y with its constant of proportionality.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

Answer:

Table 1 is 4. Table 2 is 2. Table 3 is 1.5. Table 4 is 6.

Step-by-step explanation:

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Find the missing probability.

LekaFEV [45]

<h3>Answer: P(B) = 7/20</h3>

==========================================

Work Shown:

Given info

P(A) = 7/20

P(A∩B)=49/400

P(B) = unknown

--------------------

P(A∩B) = P(A)*P(B), assuming A and B are independent events

49/400 = (7/20)*P(B)

(7/20)*P(B) = 49/400

P(B) = (20/7)(49/400)

P(B) = (20*49)/(7*400)

P(B) = (20*7*7)/(7*20*20)

P(B) = 7/20

---------------------

Note how

P(A∩B) = P(A)*P(B)

P(A∩B) = (7/20)*(7/20)

P(A∩B) = (7*7)/(20*20)

P(A∩B) = 49/400

which helps to confirm the answer.

6 0

3 years ago

Find all the whole number solutions to the equation a+b+c+d=15

Allushta [10]

Answer:

a=−b−c−d+15

Step-by-step explanation:

Step 1: Add -b to both sides.

a+b+c+d+−b=15+−b

a+c+d=−b+15

Step 2: Add -c to both sides.

a+c+d+−c=−b+15+−c

a+d=−b−c+15Step 3: Add -d to both sides.

a+d+−d=−b−c+15+−d

a=−b−c−d+15

6 0

3 years ago

Eli read four more biographies than historical fiction book during the semester. He also read two fewer mysteries than historica

9966 [12]

Answer: Eli read 3 historical fiction books , 7 biographies and 1 mystery book.

Step-by-step explanation:

Let x be the number of historical fiction books Eli read.

Then, Number of biographies he read = x+4

Number of mysteries he read = x-2

If he read a total of eleven books during the semester , then we have the following equation :

$x+x+4+x-2=11$

$\\\\\Rightarrow\ 3x+2=11$

$\\\\\Rightarrow\ 3x=9$ (Subtract 2 from both sides )

$x=3$ (Divide both sides by 3)

Therefore , Number of historical fiction books Eli read = 3

Number of biographies he read = 3+4=7

Number of mysteries he read =3-2=1

Hence, Eli read 3 historical fiction books , 7 biographies and 1 mystery book.

6 0

3 years ago

Read 2 more answers

Please help thanks.

vodka [1.7K]

Volume of sphere = 4/3 πr³

Volume of sphere = 4/3 π (5)³ = 500/3 π ft³

Answer:500/3 π ft³ (Answer B)

8 0

3 years ago

Adm,Ming,and Clinton sold sandwiches in the ratio 4:7:3 to raise money for their scout troop.Ming sold 91 sandwiches. How may sa

bonufazy [111]

The ratio in which Adm, Ming and Clinton sold sandwiches = 4:7:3
Number of sandwiches sold by Ming = 91
Let us assume the common ratio to be = x
Then
7x = 91
x = 91/7
= 13
Then
The number of sandwiches sold by Adm = 4 * 13
   = 52
The number of sandwiches sold by Clinton = 3 * 13
      = 39
So
The total number of sandwiches
sold by Adm, Ming and Clinton = 52 + 91 + 39
      = 182.
So a total of 182 sandwiches were sold by Adm, Ming and Clinton.

7 0

4 years ago