Answer:
The greatest possible value is 54
Step-by-step explanation:
Solve the quadratic equation
Given
x² - 5mx + 6m² = 0
We can rewrite this as
x² - 3mx - 2mx + 6m² = 0
(x² - 3mx) - (2mx - 6m²) = 0
x(x - 3m) - 2m(x - 3m) = 0
(x - 2m)(x - 3m) = 0
x - 2m = 0 or x - 3m = 0
So,
x = 2m or x = 3m .
2m and 3m are the roots of the equation.
Since one of the roots is 36
Assume
2m = 36
m = 36/2 = 18
3m is
3(18) = 54
If 3m = 36
m = 12
And
2m = 2(12) = 24.
The greatest possible value is 54
Answer:
Step-by-step explanation:
Find the slope = -2/1
Find the y-intercept = 5
Go to graph
put a dot at (0,5)
since it's a negative slope you will go up 2 and left 1
draw your line
_________________________________________________
Find the slope = 3/1
Find the y-intercept = 0
go to graph
Put a dot at (0,0)
Since it is a positive slope you will go down 3 and left 1.
To find the slope and y-intercept use this formula=
y=mx+b
m=slope
b=y-intercept
I'm sorry I don't know how to do a check equation for these.
Answer:
23/100 or 23/10
Step-by-step explanation:
2.3/1
(2.3 x 10) / (1 x 10) =23/10
find lcm (lowest common multiple) for 23 and 10
1 is the lcm for 23 and 10
23/10 is a simplest fraction for the decimal point number 2.3
Complete question :
Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.
Answer:
0.10935
0.3718
0.9778
0.606
Step-by-step explanation:
μ = 721 ; σ = 454 ; n = 50
P(x > 800)
Zscore = (x - μ) / σ/sqrt(n)
P(x > 800) = (800 - 721) ÷ 454/sqrt(50)
P(x > 800) = 79 / 64.205295
P(x > 800) = 1.23
P(Z > 1.23) = 0.10935
2.)
Less than 700
P(x < 700) = (700 - 721) ÷ 454/sqrt(50)
P(x < 700) = - 21/ 64.205295
P(x < 700) = - 0.327
P(Z < - 0.327) = 0.3718
Between 700 and 850
P(x < 850) = (850 - 721) ÷ 454/sqrt(50)
P(x < 850) = 129/ 64.205295
P(x < 700) = 2.01
P(Z < 2.01) = 0.9778
P(x < 850) - P(x < 700) =
P(Z < 2.01) - P(Z < - 0.327)
0.9778 - 0.3718
= 0.606
