What is the linear equation in standard form: 3x = -5y + 7

In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is t

Scorpion4ik [409]

Step-by-step explanation:

I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).

tricky, your teacher.

I think the temptation is to simply say 1/3×1/3 = 1/9.

but is it ?

the probabilty to draw one blue ball out of the complete system (no ball missing) is

x / (6+4+x) = 1/3

x = (6+4+x)/3

3x = 6 + 4 + x = 10 + x

2x = 10

x = 5

so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .

the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.

but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).

and so the probability to draw a blue ball out of this is

4/14 = 2/7.

therefore, the probability to draw 2 blue balls is now the combination

1/3 × 2/7 = 2/21

aha ! so, it is a little bit less than the originally suspected probability of 1/9.

5 0

3 years ago

At McCord Middle School, 200 students rode their bike or walked to school. This is 40 percent of the total student body. How man

Inga [223]

500 students. if 200 students= 40% and you need to find the full 100% they you would add another 200 students or 40% and then you would add another 100 students or 20%. when you add all them up you get 40%+40%+20%= 100% and 200+200+100=500.

6 0

4 years ago

Read 2 more answers

Hannah buys some shoes in sale marked 40% off she pays 27 for the shoes what price were the shoes the shoes orginally

mezya [45]

Given:

The price of shoes after discount = 27

Discount % = 40%

To find:

The original price of shoes before discount.

Solution:

Let x be the original price of shoes before discount.

The price of shoes after 40% discount is

$\text{New price}=x-\dfrac{40}{100}\times x$

$\text{New price}=x-0.4x$

$\text{New price}=0.6x$

The price of shoes after discount = 27

$27=0.6x$

$\dfrac{27}{0.6}=x$

$45=x$

Therefore, the original price of the shoes is 45.

5 0

3 years ago

Suppose the odds that a particular high school baseball team will make it to the state championships are givin as 1:17 what is t

umka2103 [35]

Answer:

1 / 18

Step-by-step explanation:

Odds = 1 : 17

Probability = odd * (17 ÷ sum of odd ratio)

Sum of odd ratio = ( 1 + 17) = 18

= (1 / 17) * (17 / 18)

= 1 / 18

6 0

3 years ago

Please help me. I don’t understand this at all...

mylen [45]

Problem 1

With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2

Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)

Use examples like this and you'll get the results you see in "figure 1"

For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.

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

Problem 2

This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.

6 0

3 years ago