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melomori [17]
3 years ago
7

You construct a​ 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmu

less than31.5. is the probability that mu is in this interval​ 0.95? explain.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
No. It is not that the probability that \mu is in the interval is 0.95 rather we are 95% confident that the true mean of the population will be in the stated interval.

Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.
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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh
andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0
3 years ago
Write your answer in simplest radical form.​
pantera1 [17]

9514 1404 393

Answer:

  √3

Step-by-step explanation:

The ratio of the short sides to the hypotenuse in an isosceles right triangle is ...

  1 : 1 : √2

This means ...

  p·√2 = √6

  p = (√6)/(√2) = √(6/2)

  p = √3

6 0
3 years ago
Help!!!!! What’s the answer
Olegator [25]

D because is the equal to the other side but added allá together

5 0
3 years ago
Which of the following vectors are orthogonal to (1,5)? Check all that apply
Andre45 [30]
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal

</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal 

</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are  orthogonal 

<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal 

<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are  orthogonal 

the answer is 
B. (10,-2) and D. (-5,1)  are  orthogonal  to  (1,5)
7 0
3 years ago
"Find the tangent ratio of angle Θ. <br><br> "
PSYCHO15rus [73]
Tangent Θ = opposite / adjacent

AB = short leg = opposite = 12
AC = long leg = adjacent = 5
BC = hypotenuse = 13

tangent Θ = 12/5 ⇒⇒⇒ this is in ratio form
tanΘ = 2.4   ⇒⇒⇒ this is in decimal form
8 0
3 years ago
Read 2 more answers
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