Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
Answer:
60
Step-by-step explanation:
45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.
The domain is
and the range is
Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to
signs are used rather than just
less than signs.
80*4=320
89*4=356
This is the range of the addition of all 4 scores.
99+80+70=249
320-249= 71
356-249= 107
[71, 100] would be the answer, unless you can get extra credit on the final.
Answer: 10.703%
Step-by-step explanation:
Let minimum height of the tallest 25% of young women be M.
Let Q be the random variable which denotes the height of young women.
Therefore, Q – N(64,2.70)
Now, P(Q˂M) = 1-0.25
i.e. P[(Q-64)/2.7 ˂ (M-64)/2.7] = 0.75
I.e. ф-1 [(M-64)/2.7] = 0.75 i.e. (M-64)/2.7 = ф-1 (0.75) = 0.675 i.e. M = 65.8198 inches
Let R be the random variable denoting the height of young men
Therefore, R – N (69.3, 2.8)
i.e. (R-69.3)/2.8 – N(0,1)
therefore the probability required = P(R ˂65.8198) = P[(R-69.3)/2.8 ˂ (65.8198 – 69.3)/2.8]
this gives P[(R-69.3)/2.8 ˂] = ф (-1.2429) = 0.107033
From this, the percentage of young men shorter than the shortest amongst the tallest 25% of young women is 10.703%
