I think it's this answer <span>C.A high voltage current can be transformed into a low voltage current.</span>
Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ ![\frac{4}{6}=\frac{8}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B8%7D%7B12%7D)
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Simplest form of
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer: (D) 16%
Step-by-step explanation:
Binomial probability formula :-
, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.
Given : The proportion of students in College are near-sighted : p= 0.28
Sample size : n= 20
Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_
![P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%](https://tex.z-dn.net/?f=P%28x%3D4%29%3D%5E%7B20%7DC_4%280.28%29%5E4%281-0.28%29%5E%7B20-4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B20%21%7D%7B4%2116%21%7D%280.28%29%5E4%280.72%29%5E%7B16%7D%5C%5C%5C%5C%3D0.155326604912%5Capprox0.16%5C%25)
Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.
(6+2*3)/(9-7)^2
(6+6)/(2)^2
12/4
3
Final answer: 3
Remember to simplify within parentheses first and then divide the two values in the end.
20 multiplied (times) 4 is equal to 80 c: