Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
Answer:
The bag contains $2.39
Explanation 40% of 50 coins is 20 dimes which equals 2 dollars
8 percent is 4 pennies
2.00+ .04 is 2.04
Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35
2.04+.35= 2.39
A = 3/2 √3 7^2
A = 73.5√3
answer is B
73.5√3 cm^2
A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.
example :
2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)
we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4
now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.
2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2
now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.
y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2
so ur solution is : (1/2,5/2) <===
and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them
Answer: 52 seconds.
Step-by-step explanation:
|-3| + 23 = 26. 26 x 2 = 52.
