After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?
2 answers:
Answer:
Money leave for the waiter is $ 1.43 .
Step-by-step explanation:
As given
After eating dinner at the local diner, your bill is $14.25.
if you tip 10% .
10% is written in the decimal form .
= 0.10
Money leave for the waiter = 0.10 × Dinner cost .
Put all the values in the above
Money leave for the waiter = 0.10 × $14.25
Money leave for the waiter = $ 1.43 (Approx)
Therefore money leave for the waiter is $ 1.43 .
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The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is .
We have to determine
Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.
<h3>Trigonometric identity</h3>Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.
Trig ratios help us calculate side lengths and interior angles of right triangles:
The trigonometric identity that can be used to solve for the height of the blue ladder is;
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Answer:
a. the probability that her pulse rate is less than 76 beats per minute is 0.5948
b. If 25 adult females are randomly selected, the probability that they have pulse rates with a mean less than 76 beats per minute is 0.8849
c. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Step-by-step explanation:
Given that:
Mean μ =73.0
Standard deviation σ =12.5
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.
Let X represent the random variable that is normally distributed with a mean of 73.0 beats per minute and a standard deviation of 12.5 beats per minute.
Then : X N ( μ = 73.0 , σ = 12.5)
The probability that her pulse rate is less than 76 beats per minute can be computed as:
From the standard normal distribution tables,
Therefore , the probability that her pulse rate is less than 76 beats per minute is 0.5948
b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.
now; we have a sample size n = 25
The probability can now be calculated as follows:
From the standard normal distribution tables,
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
In order to determine the probability in part (b); the normal distribution is perfect to be used here even when the sample size does not exceed 30.
Therefore option D is correct.
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.