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lana [24]
3 years ago
12

Suppose the lengths, in seconds, of the songs in an online database are normally distributed. For a random sample of songs, the

confidence interval (184.00, 188.00) is generated. Find the sample mean x. Give just a number for your answer. For example, if you found that the sample mean was 12, you would enter 12.
Mathematics
1 answer:
sattari [20]3 years ago
5 0

Answer:

186

Step-by-step explanation:

The sample mean, x, is the central value in the confidence interval, that is, the average between the upper and lower bounds of the interval.

In this case, the Lower bound is 184.00 and the upper bound is 188.00. Therefore, the sample mean is given by:

x = \frac{184+188}{2}\\x=186.00

The mean length, in seconds, of the sampled songs is 186.00.

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Can someone please answer it correctly if it’s correct I will mark you brainliest
dem82 [27]

Answer:

-\frac{5}{2}, -2, 1.7

Step-by-step explanation:

1. Make fraction to decimal

-\frac{5}{2} = -2.5

2. Order from least to greatest.

1.7 > -2 > -2.5

Least to greatest : -\frac{5}{2}, -2, 1.7

4 0
3 years ago
Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
elena55 [62]

Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

8 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the
Vedmedyk [2.9K]

Answer:

416025

Step-by-step explanation:

For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.

Margin of error = 0.2% = 0.002.

Proportion is unknown. So, worse case proportion is 50%. p = 50% = 0.5.

\\ n = \left(\frac{\texttt{z-score}}{\texttt{margin of error}} \right )^2\cdot p\cdot (1-p) \\ = \left(\frac{2.58}{0.002} \right )^2\cdot 0.5\cdot (1-0.5)=416025

So, sample size required is 416025.

4 0
3 years ago
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
bearhunter [10]

Answer:

10j^2 +j

Step-by-step explanation:

I added the first two terms since they have the same exponent and then left the j because its not squared or anything

3 0
2 years ago
Two trains leave Stations 396 miles apart at the same time and travel towards each other. One train travels at 95 mph while othe
PolarNik [594]

It will take 2.2 hours for the trains to meet.

Step-by-step explanation:

Given,

Distance between two trains = 396 miles

Speed of one train = 95 mph

Speed of other train = 85 mph

Combined speed of trains = 95+85 = 180 mph

Distance = Speed * Time

Time = \frac{Distance}{Speed}

Time = \frac{396}{180}

Time = 2.2 hours

It will take 2.2 hours for the trains to meet.

Keywords: speed, distance

Learn more about distance at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

8 0
3 years ago
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