m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Answer:
175
Step-by-step explanation:
The way you find this is by multiplying 300 by 1.25 to see how much they spent which is 375 dollars. Then you add that too 500 because they want to make at least 500 dollars of profit and you need to add it because you have to make up for the money spent to make a profit. then divided 875 the total of amount they need to make by 5 dollars because thats how much they cost and you get 175
Answer: 0.4083
Step-by-step explanation:
Let D be the event of receiving a defective television.
Given : The probability that the television is defective :-
![P(D)=\dfrac{3}{13}](https://tex.z-dn.net/?f=P%28D%29%3D%5Cdfrac%7B3%7D%7B13%7D)
The formula for binomial distribution :-
![P(X=x)=^nC_xp^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D)
If two televisions are randomly selected, compute the probability that both televisions work, then the probability at least one of the two televisions does not work is given by :_
![P(X\geq1)=P(1)+P(2)\\\\=^2C_1(\frac{3}{13})^1(1-\frac{3}{13})^{2-1}+^2C_2(\frac{3}{13})^2(1-\frac{3}{13})^{2-2}\\\\=0.408284023669\approx0.4083](https://tex.z-dn.net/?f=P%28X%5Cgeq1%29%3DP%281%29%2BP%282%29%5C%5C%5C%5C%3D%5E2C_1%28%5Cfrac%7B3%7D%7B13%7D%29%5E1%281-%5Cfrac%7B3%7D%7B13%7D%29%5E%7B2-1%7D%2B%5E2C_2%28%5Cfrac%7B3%7D%7B13%7D%29%5E2%281-%5Cfrac%7B3%7D%7B13%7D%29%5E%7B2-2%7D%5C%5C%5C%5C%3D0.408284023669%5Capprox0.4083)
Hence , the required probability = 0.4083
Answer: 26
Step-by-step explanation:
divide 19.5 by 3/4 (0.75)
Answer:
c is correct option
Step-by-step explanation:
this is confirm answer