P(x > 6.9) = 1 - P(x < 6.9) = 1 - P[z < (6.9 - 5.1)/0.9] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275.
Therefore P(x > 6) is about 2.5%
Answer:
True.
Step-by-step explanation:
It is because it is in the form 
and this equals 
.
Why it is in that form: well comparing , we have 
. Testing, plug in those values:
.
This has the squared form of 
.
Test if you like:
Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together
It does indeed equal.
Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?
Answer:
The number of T-shirt that Maya will have after donating 40% is 22 shirts
Explanation:
Given:( as per the above data provided)
Total number of T-shirts = 55
Percentage of T-shirts she wish to donate = 40%
To find:
Remaining number of T-shirt left after donating?
Formula to be used:
Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate
Steps:
Substituting all the above provided values in the formula we get,
= (55/100)*40
= 22 shirts.
Thus the number of T-shirts left with her is 22.
Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
