Answer:
77 nickels
106 dimes
Step-by-step explanation:
Let there be n nickes and d dimes
Since there are 183 coins, we can write:
n + d = 183
Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:
0.05n + 0.1d = 14.45
Solving 1st equation for n, we have:
n = 183 - d
Putting this into 2nd equation and solving for d:

There are 106 dimes
Since, n = 183 - d
n = 183 - 106
n = 77
There are 77 nickels
Answer:
So then our significance level is
and we need to remember these two conditions:
1) If the p value
we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value
we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
Step-by-step explanation:
We want to know for which value we would REJECT the null hypothesis.
So then our significance level is
and we need to remember these two conditions:
1) If the p value
we have enough evidence to reject the null hypothesis at the significance level given
2) If the p value
we have enough evidence to FAIL reject the null hypothesis at the significance level given
And baed on the options we see that the only possibility would be:
d. 0.015
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
Answer:
Step-by-step explanation:
um i no but i can not tell u
By definition, the volume of a sphere is:

Where,
r: sphere radio
Substituting values we have:

Rounding the result to the nearest tenth:
Answer: the sphere's volume is: