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gtnhenbr [62]
3 years ago
7

Shawn filled a bucket with 5 1/4 gallons of water. A few minutes later, he realized only 1 1/3 gallons of water remained. How mu

ch water had leaked out of the bucket?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
Answer: 3 11/12
Explanation: convert the fractions 1/4 and 1/3 to fractions with a denominator of 12. Your fractions become 3/12 and 4/12. Subtract 4/12 from 5 3/12 and get 4 11/12. Subtract one and get 3 11/12.
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Which of the following is NOT true?
ArbitrLikvidat [17]

A., B., C., D., are NOT true. I think this is a trick question. Lol

8 0
3 years ago
The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is
luda_lava [24]
P = 390,00 + 4000x

450,000 people - (15years x 4000) = 390k in 2010
 
15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.

Sorry if my explanations suck, I'm not great at explaining my thought process
5 0
3 years ago
Also the same as the other problem
irakobra [83]

Answer:

30-60-90

Step-by-step explanation:

A 30-60-90 triangle is a right angled triangle

Please mark it as brainliest if it helped

Answered by Gauthmath

5 0
2 years ago
Read 2 more answers
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Solve for x: Log4(x+8)=3
viktelen [127]
If log_{4}(x+8)=3
Then 4^3=x+8
64=x+8
64-8=x
56=x
3 0
3 years ago
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