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oksano4ka [1.4K]
3 years ago
14

1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

Red = 6

Green = 4

If the balls are replaced after taken, the probability is:

Pr(Red) = 6/10

Pr(Green) = 4/10

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

Pr(Red) = 6/10

Pr(Green) = 5/(10 - 1) = 5/9

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

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Solve each inequality. Round to the nearest hundredth. 3x2 – 4 ≤ 6 – 5x
shtirl [24]

Answer:

x\in[-2.84,1.17]

Step-by-step explanation:

The first, we will write our inequality in another form:

3x^2-4\leq 6-5x

3x^2-4-6+5x\leq 0

3x^2+5x-10\leq 0

We want to know when is it equal to 0.

First we solve the equation 3x^2+5x-10=0:

x_{1,2}=\frac{-5+-\sqrt{25+120}}{6}

x_{1,2}=\frac{-5+-12.04}{6}

x_1=1.17

x_2=-2.84

So we want to know when 3x^2+5x-10\leq 0 is true. We know, when a>0 function is negative when x is between two zeros. In our example a=3>0. Then we have:

It is true if x\in[-2.84,1.17]

3 0
3 years ago
I need both of these.
Harman [31]

Answer:

Step-by-step explanation:

First method: for (x+3)^2 if you multiply (x+3)(x+3) you get x^2+6x+9 which doesn't equal x^2+9

Second way:  plug in a variable for example (2+3)^2= 25 and 2^2+9=13 so 13 doesn't equal 25

8 0
3 years ago
13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
erica [24]

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

6 0
3 years ago
What is the value of x?<br>​
HACTEHA [7]
12, because the triangle is a 45,45,90 so sides a and b are both x, and the hypotenuse is x times the square root of 2. this means the hypotenuse is 6• the square root of 2• the square root of 2, the square root of 4 is 2. 6•2=12
5 0
3 years ago
Read 2 more answers
Could someone help me
Mekhanik [1.2K]

Answer:

the third one and the last one is correct

Step-by-step explanation:

we already know the second one is wrong because of it's set up.

just replace the points (-1,7) into each equation. if it doesn't work then move on to the next one. if it does work, then use that same equation except this time to the coordinates (2,4)

5 0
3 years ago
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