Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday)
This side of the equation would be -
X + (X +3) + (2X + 1)
That's monday plus tuesday plus wednesday.
Then you would set up the other side of the equation.
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined.
2 + (5x)
Two hours more than five times the amount of Monday (X)
Now we put this together to have an equation
X + (X + 3) + (2x+ 1) = 2 + 5x
Now we need to collect like terms
4x + 4 = 2 + 5x
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side
4 = 2 + x
Now I subtract 2 to get the numbers both on one side
2 = x
So, Colby worked 2 hours on Monday.
Y=x^2-4x+8 and 4x+y=12 so y=12-4x, insert y in the quadratic to get
12-4x=x^2-4x+8
12=x^2+8
0=x^2-4=(x-2)(x+2)
So the solutions are x=2 and x=-2.
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim
Answer:
d = (14.75 - (4 × 2.50) ÷ 2
Step-by-step explanation:
the cost of 1 drumstick = d
2.50×4=10.00
14.75-10.00=4.75
4.75÷2=2 3/8
2 3/8 = 2.375
Answer:
$30
Step-by-step explanation:
If it's 25% off, then to find the sale price we just need to subtract 25% of the original price from the original price.
Original price is 40 so we do 40 - (40 * 0.25) = 30
