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levacccp [35]
3 years ago
10

ACTIVITY 2 Continued

Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

.2

Step-by-step explanation:

3:15 to 4:30 is 75 minutes

she had to assemble 15 since there were already 67 made

divide 15/75

.2 per minute

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Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both
Leokris [45]

Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be \frac{1}{t}.

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is 0.8t.

Part of pool filled by Bob's hose in 1 hour would be \frac{1}{0.8t}.

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be \frac{1}{12}.

Now, we will add rates of both hoses and equate with \frac{1}{12} as:

\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}

\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}

\frac{0.8+1}{0.8t}=\frac{1}{12}

\frac{1.8}{0.8t}=\frac{1}{12}

Cross multiply:

0.8t*1=1.8(12)

0.8t=21.6

\frac{0.8t}{0.8}=\frac{21.6}{0.8}

t=27

Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: 0.8t\Rightarrow 0.8(27)=21.6.

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

3 0
4 years ago
Is the relation shown in the table a function? <br><br> Yes <br><br> No
lilavasa [31]

Answer:

Yes

Hehe......

8 0
3 years ago
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e
Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

6 0
4 years ago
Danasha says that a triangle can have side lengths of 6, 8 , and 10 and Mike doesn't agree. Who is correct and how do we know?
Maurinko [17]

Answer:

danasha is right because

Step-by-step explanation:

Scalene. A scalene triangle has three different angles and none of its sides are equal in length

4 0
3 years ago
The next model of a sports car will cost 13.8% more than the current model. The current model costs $54,000. How much will the p
garik1379 [7]
I think that the increase would be $7,452, and the new model would cost $61,452. I may be incorrect though.
5 0
3 years ago
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