Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
Answer:- B) No; they do not have congruent corresponding angles.
Explanation:-
In ΔGHI ,
∠G=46° and ∠I=27°
By angle sum property,
∠G+∠H+∠I=180°
⇒∠I=180°-∠G-∠H
⇒∠I=180°-46°-27°= 107°
In Δ JKL
∠K=108°and ∠L=27°
By angle sum property of triangles,
∠J+∠K+∠L=180°
⇒∠J=180°-∠L-∠K
⇒∠J=180°-27°-108°
⇒∠J=45°
Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.
⇒ They do not follow AA similarity criteria.
Thus ,the given triangles are not similar because they do not have congruent corresponding angles.
Answer:128cm^3
Step-by-step explanation:
Base area=48cm^2
Height=8cm
Volume=1/3 x base area x height
Volume=1/3 x 48 x 8
Volume=(1x48x8)/3
Volume=384/3
Volume =128cm^3
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Management quality and corporate reputation are independent.
Management quality and corporate reputation are not independent.
Test statistic:
The critical 
for
and 
is 
Test statistic:
therefore rejecting the null hypothesis 
.
p-value
Interpretation:
There is no internal governance quality as well as the reputation of the organization.
<h3>A is the answer EEEE</h3>
