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Liono4ka [1.6K]
3 years ago
12

A bag contains 10 black marbles and 6 red marbles. If a red

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

66.67% probability of selecting a black marble from the bag.

Step-by-step explanation:

Initially there are 16 marbles, 10 of which are black and 6 of which are red.

A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.

So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.

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2.875 is 69/24 as a terminating decimal
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Find g(a - 1) when g(x) = 5x - 4.
pishuonlain [190]

Answer:

g(a-1) = 5a-9

Step-by-step explanation:

Hi there!

g(x) = 5x - 4

Replace all x's with a-1:

g(a-1) = 5(a-1) - 4\\g(a-1) = 5a-5 - 4\\g(a-1) = 5a-9

I hope this helps!

7 0
3 years ago
Solve the equation<br> 4-t=3(t-1)-5
STALIN [3.7K]

Answer:

t=3

Step-by-step explanation:

4-t=3t-3-5

4-t=3t-8

+1

4=4t-8

+8

12=4t/4

5 0
3 years ago
Read 2 more answers
How far is 0, 7 from the origin
Delvig [45]

Answer:

7

Step-by-step explanation:

Count the numbers in between (0,0) and (0,7).

5 0
3 years ago
At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

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

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0
2 years ago
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