Answer:
Each family spent about 34.25 on dinner
Step-by-step explanation:
$167 - $30 (tip) = 137
137 ÷ 4 (for each family) = 34.25
BUT
if each family is seperate than they each spent about 11.75 on dinner
167 - (30 x 4) = 47
47 ÷ 4 = 11.75
I'm pretty sure the first one is the answer though
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
If f(x) is = to 0 then that means that you would have to plug the 0 in for all of the x that are in the function and the solve it.
f(x)= x3-4x-1
f(0)= (0)3-4(0)-1
0 0 0 -1
-1
so that means that -1 would be the answer for the function
Slope of the line;
slope=
Slope=
Slope,m =
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5
Answer:
The distance PR is 21.6 Km
Step-by-step explanation:
Please find the attached document for explanation.
Also, I applied Cosine rule to determine the distance PR, since i have an angle (Q) in between two given sides of the triangle.
