Answer:
Step-by-step explanation:
To solve this, we would follow these simple steps. We have
unvrs :
The arithmetic mean, x-bar for the yellow paper group (Y) = 20.6
The arithmetic mean, x-bar for the green paper group (G) = 21.75
Recall that, H0: µY = µG
And from the data we have, we can see that
H0: µY< µG
We proceed to say that the
T-Test-statistic = -0.404
Also, the p-value: 0.349
From our calculations, we can see that the p-value > 0.05, and as such, we conclude that we will not reject H0. This is because there is not enough evidence to show that test that is printed on the yellow paper decreases anxiety at a 0.05 significance level.
Answer:
Step-by-step explanation:
From the given information:
the mean 
= 2300
Standard deviation = 
Standard deviation (SD) = 214.4761
TO find:
a) 



From the Z-table, since 5.595 is > 3.999

P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean 
= 0.25
Replacement time for the Standard deviation 

For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation = 
= 
= 
= 
= 
= 214.482
Now; the required probability:




From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001
Answer:
c=4
Step-by-step explanation:
–2c = –c − 4
add c to both sides
-1c=-4
divide both sides by -1
c=4
1/4 divided by 6 equals:
0.0416666667
<span>Hope that helps and correct me if I'm wrong!</span>
Answer:
Option (4). 135°
Step-by-step explanation:
From the figure attached,
Two pair of vertical angles have been given,
∠ABD and ∠CBE
∠ABE and ∠CBD
One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.
Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.
Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.
Option (4) will be the answer.