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4vir4ik [10]
2 years ago
6

which is a pair of dependent events? spinning a spinner one time and then spinning it a second time flipping a quarter and then

flipping a nickel removing a marble from a bag, not putting it back, and then removing a second marble rolling a number cube and then choosing one letter from the alphabet
Mathematics
2 answers:
Sphinxa [80]2 years ago
7 0
<h2><u>Answer and explanation:</u></h2>

Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.

Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.

Explanation:

Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.

So, this is the right answer.

Rest options are simultaneous one. They are not dependent in any way.

pishuonlain [190]2 years ago
5 0
Removing a marble and not putting it back. Doing so changes the probability and throws the whole thing off. Flipping a coin, be it a quarter or nickel, will always be 50/50. But the marbles depend on whether you put them back in the bag or not.
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An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his
Maurinko [17]

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880

5 0
2 years ago
You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the gard
S_A_V [24]

Answer:

Area of the garden = 16\sqrt{3} ft²

Step-by-step explanation:

Given:

Base of garden = 8 Ft

Find:

Area of the garden = ?

First, we have to find height of the triangle.

Height = \sqrt{8^2-4^2}\\\\Height = \sqrt{64-16}\\\\Height = \sqrt{48}\\\\Height = 4\sqrt{3}\\

Computation of area of the garden:

Area of the garden = 1/2 × b × h

Area of the garden = 1/2 × 8 × 4\sqrt{3}

Area of the garden = 16\sqrt{3} ft²

4 0
2 years ago
How many extraneous solutions does the equation below have? StartFraction 2 m Over 2 m + 3 EndFraction minus StartFraction 2 m O
xeze [42]

Answer:

0

Step-by-step explanation:

We have the fraction \frac{2m}{2m+3} -\frac{2m}{2m-3}

Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:

\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}

Step 2. Equate the resulting fraction to zero and solve for m:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0[(2m+3)(2m-3)]

-12m=0

m=\frac{0}{-12}

m=0

Step 3. Replace the value in the original equation and check if it holds:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0

Since m=0,

-12(0)=0

0=0

Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution

5 0
2 years ago
Read 2 more answers
Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
Alona [7]
The total amount of money that Jeff has is $20
total fraction of his expenses on lunch and movies is:
(2/5+1/8)
=21/40
the remaining fraction is:
1-21/40
=19/40
thus the amount of cash that Jeff was left with will be:
19/40×20
=$ 9.5
5 0
2 years ago
Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 per
neonofarm [45]

Answer:

starts at 36....marks up by 60%

36 + 0.60(36) = 36 + 21.60 = 57.60

now they mark it down by 20%

57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

Step-by-step explanation:

4 0
2 years ago
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