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Scilla [17]
3 years ago
8

Aysha has 40 cubes in a bag.

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

P(Red)=\dfrac{18+x}{40+x}

The probability now that she will take a red cube is 0.5. So,

\dfrac{18+x}{40+x}=0.5

18+x=0.5(40+x)

18+x=20+0.5x

x-0.5x=20-18

0.5x=2

Divide both sides by 0.5.

x=\dfrac{2}{0.5}

x=4

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

40+4=44

Probability of getting a yellow cube is:

P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}

P(Yellow)=\dfrac{9}{44}

Therefore, the required probability is P(Yellow)=\dfrac{9}{44}.

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mojhsa [17]
 <span>(a) you can show the concentration by: 

amount of salt / amount of water 


amount of salt 

= 30g / L 

= [ 30 * 25g ] / [ 25L ] , 25L = 1 min 

= [ 30 * 25g ] / min 


amount of water 

= 5000 + 25t 


[ 30 * 25t ] / [ 5000 + 25t ] 

= [ 30 * 25t ] / 25*[ 200 + t ] 

= 30t / [ 200 + t ] yeah 


(b) 


lim t->∞ [ 30t / ( 200 + t ) ] 

= lim t->∞ [ ( (1 / t) * 30t ) / ( (1 / t) * ( 200 + t ) ) ] 

= lim t->∞ [ 30 / ( (200 / t) + 1 ) ] 

= 30 / ( (200 / ∞) + 1 ) 

= 30 / 1 

= 30


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
8 0
3 years ago
A School decides to organize field trips for all students. Tickets for first years were sold at GH¢0.40 per student and continui
Pepsi [2]

Answer:

60%

Step-by-step explanation:

You can solve this problem by setting up a system of equations.

Let's say that the number of tickets bought by students in the first year is x, and the number bought by continuing students is y. From there, you can set it up like this:

0.4x+0.2y=160

x+y=500

Now, you can multiply the first equation by 5 on both sides to get:

2x+y=800

Subtracting the second equation from the first equation now yields:

x=300

y=200

Since 300 of the 500 tickets bought were from the first year students, and 300/500 is 0.6, 60% of the students who bought the ticket were first year students. Hope this helps!

7 0
3 years ago
A weight lifter can bench press 189 kg. How many milligrams (mg) is this?
Inessa [10]

A weight lifter can bench press 189 kg. How many milligrams (mg) is this?

Answer: We know that:

1kg=1,000,000 mg

We are given, that a weight lifter can bench press 189 kg

Therefore, a weight lifter can bench press:

189 \times 1,000,000 mg

189,000,000mg

18.9 \times 10^{7} mg

Therefore, 18.9 \times 10^{7} mg is equal to the 189 kg

3 0
3 years ago
The Cooper family decided to hike to Hillside Lake, Approximately 8 5/8 miles away. After an hour the lake was still 5 1/3 away.
statuscvo [17]
3 7/24 is the answer for your question
5 0
3 years ago
Read 2 more answers
Can you guys teach me how to do this??
Vadim26 [7]

The usual margin of error we strive for is a 95% probability that our estimate is within the margin.   Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule).   So our margin of error is plus or minus two standard deviations.

Answer: ±2%

4 0
3 years ago
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