Answer:
At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.
Step-by-step explanation:
A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.
The null and alternative hypotheses are:
The significance level is set at 0.10.
The sample mean recorded is 17, and the sample standard deviation is 5.37.
The degrees of freedom are calculated as df=(20-1)=19.
The t-statistic is:
The two-tailed P-value corresponding to t=1.67 is P=0.11132.
<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.
At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.
The height of the building, which is 100 ft, is four times greater than the shadow it casts, measuring 25 ft. Similarly, by maintaining this ratio, a person whose shadow is 1.5 ft tall will stand at four times that length, resulting in... 4 × (1.5 ft) = 6.0 ft. Therefore, the person's height is 6 ft.
An airplane flying at a speed of 950 kilometers per hour would take 0.0010526 hours to travel 1.00 kilometer.
Answer:
40 * x - 600 = 0
Step-by-step explanation:
Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:
2400 - 1800 = 40 * x
rearranging leads to
40 * x - 600 = 0
This equation describes the situation above
Answer: $35
Step-by-step explanation:
The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.
To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.
