Let's call your speed "a"
her walking speed is then "2a"
and her friend's scooter speed is 10 a
let's also call the distance you need to walk "d"
so the time (t)you need is:
d/t=a
t=d/a
and her time is:
t=

(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a
now we count (we know that her time is 30 minutes)
30=

//multiply by 20a
600a=

600a=6d/divide by 6
100a=d
Now, in order to calculate your time we need to calculate:
t=d/a
but we know how much is d now!
t=

=100
which means that you need 100 minutes, or 1 h 40 minutes!!!
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
Answer: 9/24
Step-by-step explanation: multiply 8 by 3 to get 24 so you would multiply the 3 by 3 to get 9 as the numerator.
Answer:
Step-by-step explanation:
Answer:
odd function
Explanation:
To determine if a function f(x) is even/odd consider the following.
• If f(x) = f( -x) , then f(x) is even
Even functions are symmetrical about the y-axis.
• If - f(x) = f(-x) , then f(x) is odd
Odd functions have symmetry about the origin.
Test for even function
f(−x)=4(−x)3=−4x3≠f(x)
Since f(x) ≠ f( -x) , then f(x) is not even
Test for odd function
−f(x)=−(4x3)=−4x3=f(−x)
Since - f(x) = f( -x) , then f(x) is odd
graph{4x^3 [-10, 10, -5, 5]}
by Quadratic formula ,
, values of x are
. None of mentioned options are correct according to question!
<u>Step-by-step explanation:</u>
Here we have , expression x2 + 20 = 2x or ,
.
We know that Quadratic formula is :


⇒ 

Putting this value in equation
:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , by Quadratic formula ,
, values of x are
. None of mentioned options are correct according to question!