Make sure to multiply everything together, then check it with a calculater.
Hope this works:)
1/6
Step-by-step explanation:
- According to the question, the right combination of 2 wires cut (out of the 4 wires ) will defuse the bomb. To find all the possible combinations we using the following formulae;
nCr = n! / r! * (n - r)!
⁴₂C = 4! / 2! * (4-2)!
⁴₂C = 24 / 2 * 2
⁴₂C = 6
- There are a possible 6 combinations
- Therefore for probability of cutting the right combination of 2 wires is 1/6
Learn More:
To learn more about combinations check out;
brainly.com/question/3374511
brainly.com/question/3901018
#LearnWithBrainly
X = 8.
We know this since the line in question is vertical, so we automatically know it will be x (vertical lines can only pass through the x axis, because the y axis is already vertical).
Vertical lines will pass through only 1 x-coordinate, but they pass every point on the y-axis, since they infinitely go up and down (which, we already said, is the y-axis).
Answer:
2940
Step-by-step explanation:
Surface Area of a rectangular prism is 2(LW)+2(HW)+2(LH)
We have that the surface area is 1414 where L=c , H=20, W=7
Let's plug all of this in to solve for c:
2(LW)+2(HW)+2(LH)=1414
2(c*7)+2(20*7)+2(c*20)=1414
14c+280+40c=1414
54c+280=1414
54c=1414-280
54c=1134
c=1134/54
c=21
Now the volume of a rectangular prism is V=L*W*H
So plug in our values L=21, H=20, W=7
V=21*20*7=2940
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
