Answer:
Option c
Step-by-step explanation:
In Statistics, both t and z tests are used for testing of hypothesis.
Whenever we have sample sizes >30 and when we know population std deviation sigma, we use Z test.
i.e. if sigma is known, we check whether sample size >30 then we use z test
Otherwise if population std deviation is not known, we use t test.
Even if population std deviation is known, if n <30 we use t test. Both use the same formula for std error.
Hence the correct option is option c.
Answer:
The jar has 32 dimes and 18 quarters
Step-by-step explanation:
<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u>
<u> and </u>
<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:
Dimes (
) = $0.10
Quarters(
) = $0.25
Total Value = $7.70
Total Coins = 50
Now let us set up our system of equations as:
Eqn.(1)
Eqn.(2)
Lets take Eqn.(2) and rerrange it to solve for
as:
Eqn.(3)
Now lets plug this, in Eqn.(1) so we get the value of
as:


Plugging in
back in Eqn.(3) we finally have:

Thus we conclude that in the jar the coins are:
Dimes (
) 
Quarters(
) 
Answer:
1921.68mm^3
Step-by-step explanation:
Given data
H=17 millimeters
R=6 millimeters.
We know that the expression for the volume of cylinder is
V= πr^2h
substitute
V= 3.14*6^2*17
V= 3.14*36*17
V= 1921.68 mm^3
Hence the volume is 1921.68mm^3
Answer:
t - 5^7
Step-by-step explanation:
5 to the 7th power is 5^7. That value subtracted from t is ...
t - 5^7
__
Using the superscript font for the exponent, it would be ...
t - 5⁷