Answer:
1. 38 degrees
2. 38 degrees
Step-by-step explanation:
It tells you that angle 1 is 38 degrees, and they are supplementary angles, which means angle 2 is also 38 degrees.
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Answer:
B
Step-by-step explanation:
If you graph y^2/361 + x^2/169=1 you will get the same graph depicted in the equation.
Answer:
29/5 =x
Step-by-step explanation:
25 = 5x − 4
Add 4 to each side
25+4 = 5x − 4+4
29 = 5x
Divide each side by 5
29/5 = 5x/5
29/5 =x
Answer:
C.
Step-by-step explanation:
If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.
<em>2.5t + 350 = 3t + 225</em>
To actually find the number of tickets each class would have to sell you would just solve for t.
Answer: The probability that she gets a ride 3 times in a 5-day work week is <u>0.31</u>.
The probability that she gets a ride at least 2 times in a 5-day workweek is <u>0.97</u>.
Step-by-step explanation:
By binomial distribution formula:
![P[X=r]=^nC_rp^rq^{n-r}](https://tex.z-dn.net/?f=P%5BX%3Dr%5D%3D%5EnC_rp%5Erq%5E%7Bn-r%7D)
, where n is the number of trials , r is the number of success, p is the probability of success and q is the probability of failure.
Given : n=5
p = 0.7
q= 1-0.7=0.3
Now, the probability that she gets a ride 3 times in a 5-day work week :
![P[X=3]=^5C_3(0.7)^3(0.3)^{5-3}\\\\=10(0.7)^3(0.3)^2=0.3087\approx0.31](https://tex.z-dn.net/?f=P%5BX%3D3%5D%3D%5E5C_3%280.7%29%5E3%280.3%29%5E%7B5-3%7D%5C%5C%5C%5C%3D10%280.7%29%5E3%280.3%29%5E2%3D0.3087%5Capprox0.31)
The probability that she gets a ride at least 2 times in a 5-day workweek :
![P[X\geq2]=1-P[X](https://tex.z-dn.net/?f=P%5BX%5Cgeq2%5D%3D1-P%5BX%3C2%5D%5C%5C%5C%5C%3D1-%28P%5BX%3D1%5D%2BP%5BX%3D0%5D%29%5C%5C%5C%5C%3D1-%28%5E5C_0%280.7%29%5E0%280.3%29%5E%7B5%7D%2B%5E5C_1%280.7%29%5E1%280.3%29%5E%7B5-1%7D%29%5C%5C%5C%5C%3D1-%5B%280.3%29%5E5%2B5%280.7%29%280.3%29%5E4%5D%5C%5C%5C%5C%3D1-0.03078%3D0.96922%5Capprox0.97)
