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3 years ago

How does a graph show a proportional relationship?

Mathematics

2 answers:

Rom4ik [11]3 years ago

6 0

By using X and Y values :)

wlad13 [49]3 years ago

3 0

By using and X,Y grid starting at zero and then making its way to 1,4 for example showing that for every 1 X there are 4 Y's

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Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml

Temka [501]

<h2>Answer:</h2>

The probability that both televisions work is: 0.42

The probability at least one of the two televisions does not work is:

0.5833

<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

9-3=6

The probability that both televisions work is calculated by:

$=\dfrac{6_C_2}{9_C_2}$

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

$=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42$

The probability at least one of the two televisions does not work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

$=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5$

and the probability both do not work is:

$=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833$

Hence, Probability that atleast does not work is:

0.5+0.0833=0.5833

4 0

4 years ago

Determine the value of r so that line through. -2,5 and 6,r has a slope of -3,2

Mademuasel [1]

Answer:

R=10

Step-by-step explanation:

-2×-3=6

R=5×2

=10

3 0

3 years ago

A recipe calls for 2 1/2 cups of flour to make 24 cookies how many cups of flour would be required to bake 15 dozen cookies

Citrus2011 [14]

15 dozen = 180 cookies

180 ÷ 24 = 7.5

7.5 x 2.5 = 18 3/4 cups of flour

7 0

4 years ago

Read 2 more answers

Hello! How to do question 5 (iii)?

Colt1911 [192]

Answer:

using your brain you have to find it on your own

8 0

2 years ago

Which statement is best represented by the inequality d>11?

ankoles [38]

For this case we have the following inequality: $d> 11$

Assuming that "d" is the variable that represents the number of hours worked by Mo during this week, we have that the hours were greater than 11, according to the inequality sign.

So, the correct option is:

Mo worked more than 11 hours this week.

Answer:

Option A

5 0

3 years ago

Read 2 more answers