Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile;
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile;
⇒ 
⇒ 
⇒ 5600 +
= 560
⇒ 5600 - 560 = - 
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
The true average strain in a way that conveys information about precision and reliability is 27.314.
Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.
We have to calculate the true average strain in a way that conveys information about precision and reliability.
We have to use t test in our problem because sample size is less than 30.
Weknow that,
t=x bar-μ/s
where μ is sample mean,
s is sample standard deviation.
Degree of freedom=n-1
=20-1
=19
T value at 95% confidence interval=1.7281
put the values in the formula of t given above.
1.7291=x bar-26/3.4/
1.7291=xbar-26/3.4/4.47
1.7291= x bar-26/0.76
1.7291*0.76=x bar-26
1.314=x bar-26
x bar=26+1.314
x bar=27.314
After rounding it will be 27.31
Hence the true average strain in a way that conveys information about precision and reliability is 27.31%.
Learn more about t test at brainly.com/question/6589776
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Answer:
Inequality Form:
z<1.25
Interval Notation:
(−∞,1.25)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hope this helps
Answer:
PSQ is 61 degrees
Step-by-step explanation:
We've got small and big triangle, so, you start with the big one, to find angle PQR:
65 +43 = 108
180 - 108 = 72
(angles in triangle adds to 180)
PQR is 72
3:1
(3+1=4)
72/4 =18
SQR is 18
PQS is 54
(18x3=54)
Small triangle next:
65+54=119
180-119=61
(angles in triangle adds to 180)
PSQ is 61
Check:
180-61 =119
(angles on straight lines)
So, 180 - (43+119) should give us 18 degrees & it does.
(angles in triangle adds to 180)
Hope this helps!