Answer:
Step-by-step explanation:
The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...
$9.00/($0.02/mi) = 450 mi
At that distance, the rental cost is ...
$50 +450×$0.15 = $50 +67.50 = $117.50
Both plans will cost $117.50 for 450 miles of driving.
Answer:
μ > 21.21
Test statistic = 1.217
Kindly check explanation for more details
Step-by-step explanation:
The null hypothesis, H0 : μ = 21.21
Alternative hypothesis, H1 : μ > 21.21
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(21.212 - 21.21) ÷ (0.01 / √2)
= 1.217
The critical value :
From the t distribution :, one tailed = 2.434
Decision region :
Reject H0 if test statistic > critical value
1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.
Answer:
12π
Step-by-step explanation:
The circumference is the distance you need to walk to do 1 full rotation of a shape. The formula to calculate the circumference of a circle will be
circumference =2πr
where π is a constant that equal to 3.14 or 22/7 and r is the radius of the circle (radius = 6 feet).
The circumference of this circle will be:
circumference =2πr
circumference =2π(6)
circumference =12π
The shaded region's area is x² + 23x + 49.
Step-by-step explanation:
Step 1; To calculate the area of the shaded region, we subtract the area of the square which has side lengths of (x + 1) from the entire rectangle. So we determine the equations that denote the areas of the two shapes.
Step 2; Area of the square = side length × side length (x + 1)×(x + 1) = x² + x + x + 1 = x² + 2x + 1
Area of the bigger rectangle = length × breadth = (x + 10) × (2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50.
Step 3; The given shaded region's area = Area of the bigger rectangle - Area of the smaller square = 2x² - x² + 25x - 2x + 50 - 1 = x² + 23x + 49.
So the shaded region's area of x² + 23x + 49.
Answer:
- <em>The actual temperature after the freezer was on for five minutes could be </em><u><em>18ºF or 12ºF</em></u>
Explanation:
First, you must find the y-value returned by the line in the graph for a time (x) of five minutes, and then use the deviation of 3º to conclude the range of the real temperature.
<u>1. y- value at x = 5 min.</u>
The trend line (blue line in the graph) passes through the point (5,15), which means that it predicts a temperature of 15ºF when the time (x) is 5 minutes, or five minutes after the freezer was turned on.
<u>2. Actual temperature value</u>
It is stated that the temperature was actually three degrees from what the trend line shows, that means that the actual temperature could be 3ºF more or 3ºF less than the predicted temperature of 15ºF.
Mathematically:
- Temparature = 15ºF + 3ºF or 15ºF - 3ºF
- Temperature = 18ºF or 12ºF ← answer.
