Answer:
<em>The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
The graph of the Normal Distribution is also called the Bell Curve because of its particular shape. It occurs naturally in many real situations where a random variable needs to be modeled according to experimental results.
To evaluate the probability of a Normal Distribution, we need some kind of digital means because the formula cannot be computed directly in a formula. We'll use the MS Excel's specialized formula NORMDIST for the first value of x=304:
NORMDIST( 304 , 319.9 , 26.4 , true ) = 0.2735
Now for x=305:
NORMDIST( 305 , 319.9 , 26.4 , true ) = 0.2862
Both values are now subtracted to get the required probability
The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%
Answer:
1. x=1
2. x=7
Step-by-step explanation:
1. -8(1+4x)+7x=-25-8x
-8-32x+7x=-25-8x
8x-32x+7x=-25+8
-17x=-25+8
-17x=-17
2. -5+6(x-7)=-40+5x
-5+6x-42=-40+5x
-47+6x=-40+5x
x=47-40
x=7
Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
Answer:
-35
Step-by-step explanation:
7 x -5 = -35
hope this helped!! ^^
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
