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Andrew [12]
3 years ago
15

Shawn and Ellie are construction workers. Shawn can complete a concrete job in 4 hours, while Ellie can complete it in 6 hours.

The foreman says that it will take them 5 hours to complete it if they work together. Explain each step in solving this equation, and determine if the foreman is correct or not.
Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
If I'm right, the foreman said that it would take the average amount of time to complete a job-since 5 hours is the average amount of time that it takes Shawn and Ellie to complete a job.
The work:
6(Ellie)+4(Shawn)=10/2(number of variables)=5 hours. 
Hope I helped!
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Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the prev
adoni [48]

Answer:

the previous population was 62,000.

Step-by-step explanation:

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

1.35p = 83,700

p =  

p = 62,000

Therefore, the previous population was 62,000.

3 0
3 years ago
Read 2 more answers
Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28
topjm [15]

Answer:

b) 1.34

Step-by-step explanation:

The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma}

For the largest 9%, the score is 100% - 9% = 91% = 0.91

From the normal distribution table, the z score that corresponds to 0.91 is 1.34

4 0
2 years ago
The piney creek swim club is preparing for opening day. the pool holds 22,410 gallons of water and the water is being pumped in
andrew-mc [135]

Answer:

Yes,

Step-by-step explanation:

all you do is 540x42 which gives you 22680 and the pool only needs to be filled up with 22410, so yes

8 0
3 years ago
Mallorie has $3 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowance?
LiRa [457]
Ok so let me tell you how can this be done:
<span>The part she has is $3. The percent is 10%. So,
</span><span><span>3 /.10</span>= 30</span><span> 1/10 =  0.10
</span>This is true because of the formula
<span><span>part / </span><span>whole  </span></span>×100=percen<span>t
</span>Hope this is useful
4 0
3 years ago
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