It could be 2+1 beacuse it says there are twice as many
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.
Answer:
<h2>y = 31</h2>
Step-by-step explanation:
We know: opposite angles in a parallelogram have the same measure.
Therefore we have the equation:
<em>subtract y from both sides</em>
We know: the sum of the angle measures in the triangle is 180°.
Therefore we have the equation:
<em>subtitute x = 87</em>
<em>subtract 149 from both sides</em>
Answer:
The pressure at 50 feet is 2.51515 atm
Step-by-step explanation:
we are given equation as
where
p(d) gives the pressure, in atmospheres (atm)
a depth d in the sea (d is in feet)
We are given
d=50 feet
So, we can plug d=50 and find p
So,
The pressure at 50 feet is 2.51515 atm
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³
