Let y = 0 to find the x-intercept(s).
0 = 45 − 4x
*Then subtract 45 from both sides*
-45 = -4x
*Next, DIVIDE both sides by -4*
-45
—— = x
-4
*NEXT, realize that TWO NEGATIVES MAKE A POSITIVE *
45. 4
——— = x {FLIP} x=——-
4. 45.
y-Intercept
Let x = 0 to find the y-intercept(s).
y = 45 −4(0)
NEXT, SIMPLIFY:
y=45
Answer:
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5 ml
Standard Deviation, σ = 0.4 ml
We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.
Formula:
P(paint cans contain less than 5.54 ml of the dye)
Calculation the value from standard normal z table, we have,
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
Answer:
s >= 11
Step-by-step explanation:
s-12 >= -1
Add 12 to both sides
s >= 11
(fg)(x)= x³ - 7x² - 9x + 8
domain is (-∞,∞)
Given: f(x)= x-8, g(x)= x² +1x - 1
To find (fg)(x) we multiply f(x) and g(x)
(fg)(x) = f(x) * g(x)
(fg)(x)= (x-8) (x²+x-1)
(fg)(x)= x³ + x² - x - 8x² - 8x +8
(fg)(x)= x³ - 7x² - 9x + 8
we know, domain for all cubic function is set of all real numbers
domain is (-∞,∞)
Know more about "functions" here: brainly.com/question/12431044
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Answer:
x = 38
y = 41
z = 123
Step-by-step explanation:
x + y + z = =202
y = x + 3
z = 3y = 3(x + 3) = 3x + 9
<u>x</u> + <u>y</u> + <u>z</u> = <u>x</u> + <u>x + 3</u> + <u>3x + 9</u> = 5x + 12 = 202
5x + 12 = 202
5x = 190
x = 38
y = x + 3 = 41
z = 3y = 123
