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vlabodo
2 months ago
9

a man who weighs approximately 140 pounds has two,12 ounce beers and one 1 1/2 oz. shots of liquor in one hour. what is his esti

mated BAC?
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
5 0


The correct result is:

0.08.

Calculation details:

First, we determine the grams of alcohol consumed. In the US, one standard drink contains 14 grams of alcohol. The man drank 2 beers plus 1 shot, summing to 3 standard drinks:
3 × 14 = 42 grams

Next, convert body weight from pounds to grams:
140 × 454 = 63,560 grams

Then multiply by the male distribution factor of 0.68:
63,560 × 0.68 = 43,220.8

Calculate initial BAC by dividing alcohol grams by this adjusted weight:
42 / 43,220.8 = 0.000972

Multiply by 100 to convert to percentage:
0.000972 × 100 = 0.0972

Since one hour has elapsed, subtract metabolism at 0.015 per hour:
1 × 0.015 = 0.015

Subtract this from the initial BAC:
0.0972 – 0.015 = 0.0822, approximately 0.08
zzz [12.3K]2 months ago
5 0

The estimated BAC is close to 0.08, since a 12-ounce beer counts as one drink and a 1.5-ounce shot also represents one standard drink. The man consumed three drinks total, which generally leads to a BAC around 0.08 for someone weighing 140 pounds.
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A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want
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Answer:

Step-by-step explanation:

It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.

The hypothesis is set

H_0: Mean 1- Mean 2 =0\\H_a: Mean 1 - Mean 2 \neq 0

(A two-tailed test for mean difference)

The test statistic is calculated, and the p-value turns out to be 0.0743

Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05

Thus, we accept the null hypothesis.

i.e. there is no statistically significant alteration in the average number of daily unique listeners

The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.

7 0
1 month ago
A recipe calls for One-fourth cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that the
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Answer:Tabitha will require 12 teaspoons.

Explanation:

According to the question, Tabitha possesses a teaspoon as her largest volume-measuring tool, and she needs to utilize one-fourth cup of broth.

Knowing that 1 cup equals 16 tablespoons and that there are 3 teaspoons in each tablespoon.

From the given data, we can compute that 16 tablespoons corresponds to (3*16)= 48 teaspoons.

Thus, 1 cup = 48 teaspoons.

Substituting these values, we find that 1/4 cup = 48/4 = 12 teaspoons.

5 0
21 day ago
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs
PIT_PIT [12445]

Answer:

The formula to determine the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

Detailed explanation:

A diagram has been included for clarity.

Known values:

Distance biked to the south = 16 miles

Distance ran west = 12 miles

We need to determine the distance covered by Jane's trainer.

Solution:

Let the biking distance be represented by 'x'.

We will assume it forms a right-angled triangle.

According to the Pythagorean theorem, it states that;

"The square of the hypotenuse is equal to the sum of the squares of the other two sides."

When set in equation form, this gives us;

x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}

Thus, the equation representing the distance biked by Jane's trainer is x=\sqrt{16^2+12^2}.

Upon solving, we find;

x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles

Consequently, Jane's trainer covers a distance of 20 miles.

7 0
24 days ago
Why did the cow give only buttermilk
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The query arises from an activity that must be completed to acquire the letters filling in the answer. After participation in this activity, the response to why the cow provided only buttermilk is "What else can she provide but her milk." The phrase "But-her-milk" is a play on words with "buttermilk." I hope this clarification assists you.
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1 month ago
The idle time for taxi drivers in a day are normally distributed with an unknown population mean and standard deviation. If a ra
Svet_ta [12734]

Answer:

172-2.51\frac{16}{\sqrt{23}}=163.626    

172+2.51\frac{16}{\sqrt{23}}=180.374

Hence, in this case, the 98% confidence interval would be (163.626;180.374)    

Step-by-step breakdown:

Previous concepts

A confidence interval represents a range that is likely to encompass a population value within a specific confidence level, typically expressed as a percentage whereby a population mean falls between an upper and lower limit.

The margin of errorindicates the span of values surrounding the sample statistic in a confidence interval.

A normal distributionillustrates a probability distribution that is symmetrical around the mean, signifying that values near the mean occur more frequently than those farther away from it.

\bar X=172 denote the sample mean

\mu population mean (the variable of interest)

s=16 signifies the sample standard deviation

n=23 represents the sample size  

The solution to the query

The equation for the confidence interval of the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

To determine the critical value t_{\alpha/2}, we first need to calculate the degrees of freedom, which is expressed as:

df=n-1=23-1=22

Since the confidence level is 0.98 or 98%, we find the value of \alpha=0.02 and \alpha/2 =0.01 using tools like Excel or a calculator, where the Excel command would be: "=-T.INV(0.01,22)". This yields t_{\alpha/2}=2.51

Having all components ready, we can substitute into formula (1):

172-2.51\frac{16}{\sqrt{23}}=163.626    

172+2.51\frac{16}{\sqrt{23}}=180.374

Thus, for this case, the 98% confidence interval will be (163.626;180.374)    

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24 days ago
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