Slope is -4
Y-intercept is (0,8)
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.
The answer to your math problem is C. The reason being is 2x times x is 2x^2 and 2x times 11 is 22x. So you first part of the problem looks like 2x^2+22. Then -6 times x is -6x and -6 times 11 is -66. So now the problem is 2x^2+22x-6x-66. So your answer after solving it is 2x^2+16x-66.
Answer:
THE EQUATION HAS NO SOLUTION!
Step-by-step explanation:
Simplify 1/4 , (1/4 • (20 - 4a)) - (6 - a) = 0 , 3.1 Pull out like factors : 20 - 4a = -4 • (a - 5) , (5 - a) - (6 - a) = 0 , -1 = 0 , 5.1 Solve : -1 = 0, THERES NO SOLUTION MATE TRUST ME!
Answer:
x = 11°
Step-by-step explanation:
The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:
∠CAB = 33°
5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:
5x = 2x + 33°
3x = 33° . . . . . . . . . subtract 2x
x = 11° . . . . . . . . . . . divide by 3
