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sammy [17]
3 years ago
10

There are 10 marbles in the bag. There are two purple marbles, 3 red marbles and 5 yellow marbles. You will pick a marble three

times WITH replacing the marble after you picked it. What is the probability of picking a red, then purple and then yellow WITH replacement?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

30/1000

Step-by-step explanation:

red has a chance of 3/10

purple has a chance of 2/10

yellow has a chance of 5/10

for probability, multiply the denominators together, and the numerators together

3*2*5 = 30

10*10*10 = 1000

So the probability of picking red, then purple, and then yellow with replacement is 30 of 1000

Hope this helps!

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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
Madaraka express arrived in Mombasa at 0545hrson Thursday after travelling for
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

For this question, you count backwards from 0545hrs which is 5:45 am until 7hrs is reached.

5:45 am Thursday

↓

4:45 am Thursday

↓

3:45 am Thursday

↓

2:45 am Thursday

↓

1:45 am Thursday

↓

12:45 am Thursday

↓

11:45pm Wednesday

↓

10:45 pm Wednesday

Therefore, Madaraka express left Nairobi at 10:45 pm on Wednesday

4 0
3 years ago
I just need a little help on this ??! Please.
lawyer [7]

1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6

2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5

3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.

When working with problems like these, you need to isolate the variable on one side and get it by itself.

5 0
3 years ago
To make lemonade, Andy adds
JulsSmile [24]

Answer:

64/3 tablespoons of sugar for 32 ounces of water

Step-by-step explanation:

In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another.  so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.

Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.

Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.

Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.

It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.

2/3 tablespoon of sugar for 1 ounce of water

Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water

3 0
3 years ago
Simplify 3+7x-(2+9x)
viva [34]

Answer:

-2x + 1

Step-by-step explanation:

3 + 7x - (2 + 9x)

Distribute the negative:

3 + 7x - 2 - 9x

Combine like terms:

-2x + 1

8 0
3 years ago
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