Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
6x^2 + 7x - 5 = (3x + 5)(2x - 1)
Its 2x - 1
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph
Answer:
0.002 km
Step-by-step explanation:
Answer:
(2, 7, 1)
Step-by-step explanation:
We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z
3x + y - 2z = 11
4x - 2y + z = -5
x + 5y - 4z = 33
We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.
We can add 2 times the second row to the first row and 4 times the second row to the third row to get
11x - 3y = 1
4x - 2y + z = -5
17x -3y = 13
We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then
11x - 3y = 1
4x - 2y + z = -5
6x = 12
From the third row, we can gather that x= 2. We can then plug that into the first row to get
22 -3y = 1
subtract 22 from both sides
-3y = -21
divide both sides by -3
y = 7
We can then plug our x and y values into the second row to get
4(2) - 2(7) + z = -5
8 - 14 + z = -5
-6 + z = -5
add 6 to both sides
z = 1
Our answer is thus (2, 7, 1)