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Sindrei [870]
3 years ago
13

you were presented with a bag of marbles, that had 3 yellow, 5 red, 2 white 4 green and 6 orange. What will be probability be of

picking an orange marble without replacement and then picking a yellow marble? Explain in words th​
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

6/20 or 3/10

Step-by-step explanation:

first you add all of the marbles together which is 20 and the you have 6 orange marbles which is 6 then turn it into a fraction 6/20 or a simplified fraction 3/10

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An individual is planning a trip to a baseball game for 15 people. Of the people planning to go to the baseball game, 10 can go
wariber [46]

3 people go on Sunday then duh

5 0
2 years ago
A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra
Harman [31]

Answer:

<em>A.</em>

<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

<em />cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

Step-by-step explanation:

Given

P\ (a,b)

r = \± \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

r = \sqrt{(a)^2 + (b)^2}

Since a belongs to the x axis and b belongs to the y axis;

cos\theta is calculated as thus

cos\theta = \frac{a}{r}

Substitute r = \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}

cos\theta = \frac{a}{\sqrt{a^2 + b^2}}

Rationalize the denominator

cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}

cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

3 0
3 years ago
nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people shou
Olegator [25]

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

R = \dfrac{36}{50}

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468

Therefore, number of smiles Nathan expect to return is 468.

4 0
3 years ago
Solve for the x using elimination <br> 3x-2y=13x−2y=1 <br> 2x+2y=42x+2y=4
Nikitich [7]

3x - 2y = 1

2x + 2y = 4

Add the second equation to the first

5x     = 5

2x + 2y = 4

Divide the first equation by 5

x        = 1

2x + 2y = 4

Subtract the first equation from the second

x        = 1

x + 2y = 3

Subtract the first equation from the second again

x        = 1

   2y = 2

Divide the second equation by 2

x        = 1

      y = 1

<h3>So, the solution is  x = 1  and  y = 1  {or: (1, 1)} </h3>
7 0
3 years ago
A jar contains nickles and pennies. There are 56 coins in the jar in all. The total value the total value of the coins are $1.52
timofeeve [1]
<span>Let the number of nickles be x Let the number of pennies be y Value Value Type Number of of of of EACH ALL coin coins coin coins ------------------------------------------- nickles x $0.05 $0.05x pennies y $0.01 $0.01y ------------------------------------------- TOTALS 56 ----- $1.52 The first equation comes from the second column.</span>
6 0
4 years ago
Read 2 more answers
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