To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for 
hours.
And Svetlana worked four times of Ruby, therefore Svetlana worked for
And total hours they worked together is 136. That is
So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .
Answer: See explanation
Step-by-step explanation:
Here is the remainder of the question:
a. Who has more money after the first additional deposit? Explain.
b. Who has more money after the second additional deposit?
a. Amount put in savings account = $300
Leroi's amount after first week = $300 + $60 = $360
Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360
They both have equal amount after the first week.
b. After the second deposit,
Leroi's saving = $360 + $60 = $420
Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432
Sylvia has more savings after the second week
Answer:
1232 m^3 to nearest whole number.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h where r = radius of base and h = height.
The radius of the base = 1/2 * 14 = 7m.
The height can be found by using the Pythagoras theorem:
25^2 = h^2 + 7^2
h^2 = 625 - 49 = 576
h = √576 = 24m
So the volume = 1/3 π * 7^2 * 24
= 1231.504 m^3.
