Answer:
D) 7.7 cm
Step-by-step explanation:
L/W=11cm/10cm=x/7cm
cross multiply to find x
10x=77
divide 10 by both sides
x=7.7
Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.
Step-by-step explanation:
Since we have given that
Integers between 10000 and 99999 = 99999-10000+1=90000
n( divisible by 3) = ![\dfrac{90000}{3}=30000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B3%7D%3D30000)
n( divisible by 5) = ![\dfrac{90000}{5}=18000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B5%7D%3D18000)
n( divisible by 7) = ![\dfrac{90000}{7}=12857.14](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B7%7D%3D12857.14)
n( divisible by 3 and 5) = n(3∩5)=![\dfrac{90000}{15}=6000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B15%7D%3D6000)
n( divisible by 5 and 7) = n(5∩7) = ![\dfrac{90000}{35}=2571.42](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B35%7D%3D2571.42)
n( divisible by 3 and 7) = n(3∩7) = ![\dfrac{90000}{21}=4285.71](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B21%7D%3D4285.71)
n( divisible by 3,5 and 7) = n(3∩5∩7) = ![\dfrac{90000}{105}=857.14](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B105%7D%3D857.14)
As we know the formula,
n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)
![=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15](https://tex.z-dn.net/?f=%3D30000%2B18000%2B12857.14-6000-2571.42-4258.71%2B857.14%5C%5C%5C%5C%3D48884.15)
Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.
To get the required value of the missing probability to
make the series complete is to deduct all the probability given to 1 because we
know that the discrete probability distribution must be equal to 1. So doing
what I have said, this will be:
P(4) = 1 - P(3) - P(5) - P(6)
= 1 – 0.3 – 0.18 – 0.21
<span>= 0.31 is the answer.</span>
Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form