If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she

Respuesta:

3m = -3

Desglose paso a paso:

Nos dan la ecuación

2m - 6 = 8m,

por lo que

2m - 8m = 6,

-6m = 6,

m = 6/(-6),

m = -1.

Así, 3m = -3.

Answer:

The value calculated is Z = 2.53, which exceeds 1.96 at a significance level of 0.05

This leads to the rejection of the null hypothesis H₀

Thus, we accept the alternative hypothesis

This implies that individuals participating in Weight Reducers will lose more than 10 pounds

Step-by-step explanation:

Step(i):-

The size of the random sample 'n' = 50

The new weight-loss program, Weight Reducers International, claims that members will shed an average of 10 pounds within the initial two weeks, with a standard deviation of 2.8 pounds.

Population mean 'μ' = 10 pounds

Population standard deviation 'σ' = 2.8 pounds

Sample mean 'x⁻' = 9

Significance level ∝ = 0.05

Step(ii):-

Null hypothesis: H₀: μ < 10

Alternative hypothesis: H₁: μ > 10

Test statistic calculation

The determined Z value is 2.53

In this case, the critical value Z is 1.96 at the 0.05 significance level

Step(iii):-

Calculated Z value of 2.53 is greater than 1.96 at a significance level of 0.05

Consequently, we reject the null hypothesis H₀

We accept the alternative hypothesis

Conclusion:-

We determine that individuals who sign up for Weight Reducers will experience a weight loss exceeding 10 pounds

Response:

Detailed explanation:

Average fall rate =

Detailed explanation:

Given that the position of the object is expressed as a function of time, we can compute the average velocity of the object during the first 3 seconds by determining its position at time 0 and at 3 seconds, finding the displacement over that period, and then dividing this distance by the elapsed time (3 seconds). This approach follows the concept that velocity equals distance covered divided by time spent: