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Molodets [167]
3 years ago
15

Used to find the midpoint between two points (x1,y1) and (x2,y2) what is the formula?

Mathematics
1 answer:
umka21 [38]3 years ago
8 0
Here you go! Hope this helps

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A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 a
Anuta_ua [19.1K]

Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 6

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.895, which is the critical value.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159

The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

8 0
3 years ago
A train travels between two stations 1/2 mile apart in a minimum time of 41 sec. If the train accelerates and decelerates at 8 f
igomit [66]
It is important to notice firs of all that the train with no stop acceleration and them no stop acceleration would have a faster travel between stops. given this is safe to assume that there is a period during while the train is not accelerating nor decelerating. To find the time that is speed is constant
let's assume non-stop accelerating and decelerating and the time lost (subtraction of both) is the time the train had constant speed:

assuming same time accelerating a decelerating we have that the distance is

x = voT + 1/2aT^2 (initiial speed = 0) (0.25 miles = 1320 feets)
1320 = 1/2 (8)(T/2)^2
T/2 = 18.17 seg
 T = 36.34 seg
time of constant speed 
T = 41 -36.34 = 4.66 seg

maximum speed 

v = v0 + aT (initial speed = 0)
v = 8(18.17)  (time accelerating)
v = 145.36 feets/sec

distance at full speed

x = v*t
x = 145.36*4.66 = 677.38 feets



 
7 0
4 years ago
Read 2 more answers
What is the diameter of the circle? <br> Enter your answer in the box. <br> _____units
wel

Answer:

8 units because the diameter is the side to side length of the circle so when you count it you get 8 units.

5 0
2 years ago
(q^2)^y=q^6 find the value of y
jonny [76]

Answer:

y = 3

Step-by-step explanation:

(  {q}^{2} )^{y}  =  {q}^{6}  \\  {q}^{2y}   =  {q}^{6} \\ 2y = 6 \\ y =  \frac{6}{2}  \\ \huge \red{ \boxed{  y = 3}}

3 0
3 years ago
Select the correct answer.
Ghella [55]

Answer:x-5

Step-by-step explanation:

8 0
3 years ago
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