Answer: It’s B
Step-by-step explanation:
Trust me
Answer: ![\dfrac{11}{87}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B87%7D)
Step-by-step explanation:
Given : An automobile manufacturing plant produced 30 vehicles today: 10 were sedans, 9 were vans, and 11 were trucks.
Number of combinations of n things taking r at a time :
![^nC_r=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Number of ways to choose two vehicles out of 30 vehicles :-
![^{30}C_2=\dfrac{30!}{2!(28)!}\\\\=\dfrac{30\times29}{2}\\\\=435](https://tex.z-dn.net/?f=%5E%7B30%7DC_2%3D%5Cdfrac%7B30%21%7D%7B2%21%2828%29%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B30%5Ctimes29%7D%7B2%7D%5C%5C%5C%5C%3D435)
Number of ways to choose two trucks out of 11 vehicles :-
![^{11}C_2=\dfrac{11!}{2!(9)!}\\\\=\dfrac{11\times10}{2}\\\\=55](https://tex.z-dn.net/?f=%5E%7B11%7DC_2%3D%5Cdfrac%7B11%21%7D%7B2%21%289%29%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B11%5Ctimes10%7D%7B2%7D%5C%5C%5C%5C%3D55)
Now, the the probability that two trucks will be selected will be :-
![\dfrac{55}{435}=\dfrac{11}{87}](https://tex.z-dn.net/?f=%5Cdfrac%7B55%7D%7B435%7D%3D%5Cdfrac%7B11%7D%7B87%7D)
Answer: 20
Step-by-step explanation: Substitute the value of the variable into the equation and simplify. giving you 20
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x =
= 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4