Answer:
Events 2,4 and 5 have probabilities greater than 0.5
Step-by-step explanation:
They are 10 balls combined: 2blue, 3 red and 5 white with the probabilities:
![P(red)=3/10=0.3\\\\P(white)=5/10=0.5\\\\P(blue)=2/10=0.2](https://tex.z-dn.net/?f=P%28red%29%3D3%2F10%3D0.3%5C%5C%5C%5CP%28white%29%3D5%2F10%3D0.5%5C%5C%5C%5CP%28blue%29%3D2%2F10%3D0.2)
#We calculate the probabilities to check which events have a probability greater than 1/5=0.2
#choosing 1 blue marble
![P(1 \ blue)=2/10=0.2\\\\0.2=0.2](https://tex.z-dn.net/?f=P%281%20%5C%20blue%29%3D2%2F10%3D0.2%5C%5C%5C%5C0.2%3D0.2)
#choosing 1 red marble
![P(red)=3/10=0.3\\\\0.3>0.2](https://tex.z-dn.net/?f=P%28red%29%3D3%2F10%3D0.3%5C%5C%5C%5C0.3%3E0.2)
#choosing 1 red marble, not replacing it,
![P(red)=0.3\\\\P(blue,no \ replacemnet)=2/9\\\\P(red \ then \ blue)=0.3\times 2/9=0.067\\\\0.067](https://tex.z-dn.net/?f=P%28red%29%3D0.3%5C%5C%5C%5CP%28blue%2Cno%20%5C%20replacemnet%29%3D2%2F9%5C%5C%5C%5CP%28red%20%5C%20then%20%5C%20blue%29%3D0.3%5Ctimes%202%2F9%3D0.067%5C%5C%5C%5C0.067%3C0.2)
#choosing 1 white marble, replacing it, and choosing another white marble
![P(white)=0.5\\P(white, no \ replacement \ in \ i)=4/9\\\\p_t=0.5\times 4/9=0.22\\\\0.22>0.2](https://tex.z-dn.net/?f=P%28white%29%3D0.5%5C%5CP%28white%2C%20no%20%5C%20replacement%20%5C%20in%20%5C%20i%29%3D4%2F9%5C%5C%5C%5Cp_t%3D0.5%5Ctimes%204%2F9%3D0.22%5C%5C%5C%5C0.22%3E0.2)
#choosing 1 white marble
![P(white)=5/10\\\\=0.5](https://tex.z-dn.net/?f=P%28white%29%3D5%2F10%5C%5C%5C%5C%3D0.5)
Hence, from our calculations, events 2,4 and 5 have probabilities greater than 0.5
Answer:
9x-7
Step-by-step explanation:
2(3x-5) = 6x - 10
3(x+3) = 3x + 3
= 9x-7
Complete question is;
An advertising banner has four sections, as modeled in the attached image. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
Answer:
6 m²
Step-by-step explanation:
Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.
This Means the total base of the entire triangle will be;
Base = 1 + 1¾ + 1 + 1¾ = 5.5 m
Height of main triangle = 2 m
Thus,
Area = ½ × 5.5 × 2 = 5.5 m²
We are looking for best estimate, so let's approximate to the nearest whole number to get 6 m²
4.00 ÷ 0.25 = 16
.70 ÷ 0.05 = 14
16 quarters + 14 nickels = 30 coins
Answer:
Yes, Jean is correct
Step-by-step explanation:
Given
![73 * \frac{3}{4}](https://tex.z-dn.net/?f=73%20%2A%20%5Cfrac%7B3%7D%7B4%7D)
Required
Determine the value of the result
<em>When a positive integer is multiplied by a fraction, the result is always less than the integer</em>
<em>Solving further</em>
![Expression = 73 * \frac{3}{4}](https://tex.z-dn.net/?f=Expression%20%3D%2073%20%2A%20%5Cfrac%7B3%7D%7B4%7D)
![Expression = \frac{73 * 3}{4}](https://tex.z-dn.net/?f=Expression%20%3D%20%5Cfrac%7B73%20%2A%203%7D%7B4%7D)
![Expression = \frac{219}{4}](https://tex.z-dn.net/?f=Expression%20%3D%20%5Cfrac%7B219%7D%7B4%7D)
![Expression = 54.75](https://tex.z-dn.net/?f=Expression%20%3D%2054.75)
<em>The result of the expression shows that the resulting value is less than 73.</em>
<em>Hence, Jean is correct</em>