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:
Step-by-step explanation:
Let the numbers are x and y.
<u>Given:</u>
<u>Solve by substitution:</u>
- 3x + 2x - 8 = 22
- 5x = 22 + 8
- 5x = 30
- x = 6
<u>Find y:</u>
Answer:
The correct answer is fabric Jimmy's sister needs = 
× fabric Jimmy needs = × 
yards of fabric.
Step-by-step explanation:
Jimmy's costume requires ⅞ + ½ + 1 
yards of fabric = 
yards.
His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (
) yards of what Jimmy needs = yards of what Jimmy needs.
The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by
Fabric Jimmy's sister needs = × fabric Jimmy needs = × yards of fabric.
Answer:
Step-by-step explanation:
x² - 144 = x² - 12²
= (x +12)(x - 12)
a² - b² = (a + b)(a-b)
