Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
Answer: (ii) We reject H0---this sample provides significant evidence that the program is effective.
Step-by-step explanation:
The null hypothesis is
The program is not effective for weight loss.
The alternative hypothesis is
The program is effective for weight loss.
If the P-value for the test turns out to be 0.012, and the level of significance is 0.05, then
Alpha, 0.05 > p value, 0.012
Therefore, there is enough evidence to reject the null hypothesis. We then accept the alternative hypothesis.
The correct option is
(ii) We reject H0---this sample provides significant evidence that the program is effective.
Answer:
x = -8
Step-by-step explanation:
-8x + 3(x - 5) = 25
Distribute the 3 into the (x - 5).
-8x + 3x - 15 = 25
Combine like terms.
-5x - 15 = 25
Add 15 to both sides.
-5x = 40
Divide both sides by -5.
x = -8.
Proof:
-8x + 3(x - 5) = 25
Substitute variable.
-8(-8) + 3((-8) - 5) = 25
Subtract inside parenthesis.
-8(-8) + 3(-13) = 25
Multiply -8 and -8.
64 + 3(-13) = 25
Multiply 3 and -13.
64 + (-39) = 25
Add 64 and -39.
25 = 25
Answer:
Step-by-step explanation:
- -2n +7 > -11
- -2n > -11 - 7
- -2n > -18
- n < -18/-2
- n < 9
- n = (-oo, 9)
Answer:
1. The car is slowing down at a rate of 2.5mph/s
2. The greatest acceleration is 10 mph/s.
3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.
Step-by-step explanation:
1. The deceleration of the car is from 16 seconds to 24 seconds is the slope 
of the graph from 16 to 24:
the negative sign indicates that it is deceleration.
2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.
From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope :
3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.
The speed of the automobile in that interval, as we see from the graph, is 25 mph.
