Answer:
0.86 (Approx)
Step-by-step explanation:
Given:
n = 35
P = 55% = 0.55
Q = 1 - p = 0.45
Computation:
Standard deviation σ = √npq
Standard deviation σ = √(35)(.55)(.45)
Standard deviation σ = 2.9432
Mean μ = np = 35 x 0.55 = 19.25
p[(x-np)/ σ ]
P[z<1.04204]
= 0.86 (Approx)
1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
4x-2x+3y+6x+6y distributive property
4x-2x+6y+3y+6y commutative property of addition
8x+9y combine like terms
Step-by-step explanation:
I hope this helps!
Answer:
The percent
Step-by-step explanation:
She got a 9% grade
and there asking you
the number of points
might be wrong but :)
A
Explanation
She gets 11 for every hour but it doesn’t say how many hours so we put a variable ( in this case x ) so we have 11x and she revived $6 extra since it was received and not taken away we add 11x +6 and since it’s an equation we put 11x +6 = $39
For extra help x is equal to 3
