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:
∠8 * 4 = ∠7 ----------------(1)
∠8 + ∠7 = 180 ------------(2)
Taking the value of ∠7 from (1) and using it in (2):
<u><em>∠7 = 4 * ∠8</em></u>
<u><em /></u>
∠8 + ∠7 = 180
∠8 + (4 * ∠8) = 180
∠8 + 4∠8 = 180
5∠8 = 180
∠8 = 36° ---------------(3)
Using the value of ∠8 from (3) in (2):
∠8 + ∠7 = 180
36 + ∠7 = 180
∠7 = 144° and ∠8 = 36°
<h3>
Answer: 19.1</h3>
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Work Shown:
tan(angle) = opposite/adjacent
tan(C) = AB/BC
tan(theta) = x/BC
tan(23) = (8.1)/BC
BC*tan(23) = 8.1
BC = (8.1)/tan(23)
BC = 19.0824041631723
BC = 19.1
In this case, rounding to 3 sig figs means we round to the nearest tenth.
Make sure your calculator is in degree mode.
Answer:330 degrees
Step-by-step explanation: It helps by drawing a picture, hope this helps
