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snow_tiger [21]
3 years ago
12

5. Let us apply the formula to some numbers. The following are the durations in minutes of a series of telephone calls. You want

to know the mean duration of the calls.
µ ═ ∑ X
n

Duration of calls: 12.3, 18.2, 33.1, 9.1, 7.3, 10.4, 11.5, 4.5, 8.9, 3.3
Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer: The mean is 11.86

Step-by-step explanation:

Add all the numbers and divide by however many numbers there are. In this case there are 10 numbers

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CaHeK987 [17]
B and D
Hope this helps(just for word count lol)
6 0
2 years ago
2sin^2x - sinx - 3 = 0
e-lub [12.9K]
We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5

the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°

the answer is
sin x=-1
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8 0
3 years ago
Simplify. <br> PLEASE HELP ITS DUE IN 5 MINUTES <br> (top number is a 6)
kodGreya [7K]

Answer:

\frac{24}{11}+\frac{6\sqrt{5} }{11}

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

5 0
3 years ago
Please answer this
pentagon [3]

Answer:

14 in^3.

Step-by-step explanation:

The volume = volume of the bottom prism + volume of the top pyramid

= area of base * height of the prism + 1/3 * area of base * height of the pyramid

= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2

= 3*4 + 1/3 * 6

= 14 in^3.

6 0
3 years ago
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F. Co
Ira Lisetskai [31]

Answer:

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

Step-by-step explanation:

The first step is finding the confidence interval

The sample size is 103.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

df = 103-1 = 102

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have T = 2.63.

Now, we need to find the standard deviation of the sample. That is:

s = \frac{0.56}{\sqrt{103}} = 0.055

Now, we multiply T and s

M = T*s = 2.63*0.055 = 0.145

For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.

For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

5 0
3 years ago
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