I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
A. we use the z statistic to solve this problem
z = (x – u) / s
We calculate the value of the sample mean u and standard deviation
s:
u = $30 * 304 = $9120
s = $21 * 304 = $6384
z = (9,600 – 9120) / 6384
z = 0.075
From the normal tables using right tailed test,
P = 0.47
B. At worst 11% means P = 0.11, so the z value at this is
z = -1.23
-1.23 = (x – 9120) / 6384
x = 1267.68
Answer:
5.89 g/cm³
Step-by-step explanation:
givens,
Mass = 22.4 g
volume = 3.8 cm³
Density = mass / volume
= 22.4 / 3.8
= 5.89 g/cm³
Answer:
(i) The equivalent coordinates in rectangular form are 
.
(ii) The equivalent coordinates in rectangular form are 
.
Step-by-step explanation:
In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:
Where:
- Norm of vector, dimensionless.
- Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.
(i) (
, 
)
The equivalent coordinates in rectangular form are .
(ii) (
, 
)
The equivalent coordinates in rectangular form are .
[5 + (-2)] + (-3) would be the way to write your query only using addition. Hope this helps and have a phenomenal day!
