Answer:
Step-by-step explanation:
Start with:
Add 
to both sides of the equation.
Answer:
Step-by-step explanation:
By the Pythagorean Theorem the hypotenuse squared is equal to the sum of its squared sides.
10^2=5^2+h^2
100=25+h^2
h^2=100-25
h^2=75
h=5(3^(1/2))ft
h=8.66ft (rounded to nearest 1000th)
Answer:
the answer is in the explanation
Step-by-step explanation:
we are given
sample size 
= 10 for each formulation
mean 
(formulation 1) = 121
mean 
(formulation 2) = 112
s (standard deviation ) = 8 mins for each case
null hypothesis 
μ2 = μ1 (both have average same time)
alternative hypothesis 
μ2 < μ1
under the test statistics is
t = -2.5
ItI = 2.5
The P-value at ItI = 2.5 at 
= 0.05 μ = 0.010699
check the remaining solution and diagram in the attached image
Let the final interest = X
If Simple interest is given A=PiN, where A is the final interest, P is the principal, i is the rate of interest and N is the number of terms (years)
∴The first account will be X = H x 0.06 x 1, where H is the principal for that account
And the second account will be X = G x 0.09 x 1, where G is the principal for that account
You can substitute the X value of the first equation (X = P x 0.06 x 1) into the second equation to make:
H x 0.06 = G x 0.09
∴G = 2/3 x H
∴G/H = 2/3 (makes a ratio of five parts)
Divide 7200 into five parts = $1440 per part
Hence, G = 2 x 1440 = $2880, and H = 3 x 1440 = $4320
Answer:
x = 4
Step-by-step explanation:
Distribute parenthesis on both sides of the equation
4x + 4 = 6x - 4 ( subtract 6x from both sides )
- 2x + 4 = - 4 ( subtract 4 from both sides )
- 2x = - 8 ( divide both sides by - 2 )
x = 4
