![bri2008](/avatars/38296.jpg)
bri2008
10.07.2019 •
Mathematics
Involving the selection of frozen dinners. assume that there are 15 frozen dinners: 7 pasta, 6 chicken, and 2 seafood dinners. the student selects 5 of them. what is the probability that at least 2 of the dinners selected are pasta dinners?
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Ответ:
The probability that at least 2 of the dinners selected are pasta dinners will be 0.8181...
Explanation
Pasta dinners = 7 , Chicken dinners = 6 and Seafood dinners = 2
The student selects 5 of the total 15 dinners. So, total possible ways for selecting 5 dinners![=^1^5C_{5} =3003](/tpl/images/1105/6855/38642.png)
For selecting at least 2 of them as pasta dinners, the student can select 2, 3, 4 and 5 pasta dinners from total 7 pasta dinners.
So, the possible ways for selecting 2 pasta dinners![=^7C_{2}*^8C_{3} =1176](/tpl/images/1105/6855/43488.png)
The possible ways for selecting 3 pasta dinners![=^7C_{3}*^8C_{2} =980](/tpl/images/1105/6855/a0865.png)
The possible ways for selecting 4 pasta dinners![=^7C_{4}*^8C_{1} =280](/tpl/images/1105/6855/4b8cc.png)
The possible ways for selecting 5 pasta dinners![=^7C_{5}*^8C_{0} =21](/tpl/images/1105/6855/9638d.png)
Thus, the probability for selecting at least 2 pasta dinners![=\frac{1176+980+280+21}{3003} =\frac{2457}{3003} =0.8181.....](/tpl/images/1105/6855/4f1d3.png)
Ответ:
C. 4.53
Step-by-step explanation:
So we know that the total among these angles measure 180°
(straight lines paralleled with r and s) those lines are 180 degrees.
So subtract 180° - 116° to get rid of the other angle
180° - 116 = 64°
Then use the statement below to identify the value of y.
y = 4.53