Answer:
<em>7, 22</em>
Step-by-step explanation:
Let S = the smaller number.
"The larger number is 1 more than 3 times the smaller number."
The larger number is 3S + 1.
The difference between the numbers is 15, so the larger number minus the smaller number equals 15.
3S + 1 - S = 15
2S + 1 = 15
2S = 14
S = 7
The smaller number is 7.
larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22
The larger number is 22.
Answer:
4 miles
Step-by-step explanation:
Answer:
Explained below.
Step-by-step explanation:
(1)
The confidence level is, 91%.
Compute the value of α as follows:
(2)
As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.
The <em>z</em> value for α = 0.09 is,
<em>z</em> = 1.69
(3)
Compute the 91% confidence interval as follows:
(4)
The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.
Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.
Answer:
-19
Step-by-step explanation:
Evaluate -x^2 - 5 x y + 5 y^3 where x = -2 and y = -1:
-x^2 - 5 x y + 5 y^3 = -(-2)^2 - -2 (-5) + (-1)^3×5
(-2)^2 = 4:
-4 - -5 (-2) + 5×(-1)^3
(-1)^3 = -1:
-4 - -5 (-2) + 5×-1
-5 (-2) = 10:
-4 - 10 - 5
-4 - 10 - 5 = -(4 + 10 + 5):
-(4 + 10 + 5)
| 1 | 0
| | 5
+ | | 4
| 1 | 9:
Answer: -19
