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kakasveta [241]
3 years ago
12

Can someone help me with letter b along with an explanation.

Mathematics
2 answers:
lana66690 [7]3 years ago
7 0

Step-by-step explanation:

Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale

sveta [45]3 years ago
7 0

9514 1404 393

Answer:

  a) 1.70 L

  b) 16 breaths per minute

Step-by-step explanation:

a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...

  1.27 +0.43×1 = 1.70 . . . liters

__

b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...

  1.71t = 2π

  t = 2π/1.71 ≈ 3.6744 . . . seconds

Then the number of breaths per minute is ...

  (60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute

The person takes about 16 breaths per minute while sleeping.

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Please help me i need this grade !
lutik1710 [3]

A . One solution

B . infinite solution

C . infinite solution

D . no solution

_________________________________

Thus the correct answer is option A .

5 0
3 years ago
Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobil
o-na [289]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $120 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. Let 4 year old automobiles be represented by population 1.

State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.

At a 0.01 level of significance, what is your conclusion? What is the p-value?

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.44

p-value = 0.1954

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

Step-by-step explanation:

Let σ₁² denotes the variance of 4 years old automobiles

Let σ₂² denotes the variance of 2 years old automobiles

State the null and alternative hypotheses:

The null hypothesis assumes that the variance in annual repair costs is smaller for older automobiles.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance in annual repair costs is larger for older automobiles.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic is given by

Test statistic = σ₁²/σ₂²

Test statistic = 120²/100²

Test statistic = 1.44

p-value:

The degree of freedom corresponding to 4 years old automobiles is given by

df₁ = n - 1  

df₁ = 26 - 1  

df₁ = 25

The degree of freedom corresponding to 2 years old automobiles is given by

df₂ = n - 1  

df₂ = 23 - 1  

df₂ = 22

Using Excel to find out the p-value,  

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.44, 25, 22)

p-value = 0.1954

Conclusion:

When the p-value is less than the significance level then we reject the Null hypotheses

p-value < α   (reject H₀)

But for the given case,

p-value > α

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

8 0
3 years ago
II<br>3<br>Find 6 X 915. Show your work.​
love history [14]

Answer:

5490

Step-by-step explanation:

you multiply every number by 6 and you will get the answer

4 0
3 years ago
7/8,42/48 determine whether each pair of ratios are equivalent ratios right yes or no
Nutka1998 [239]
Yes
7x6=42
8x6=48
Hope that helped :D
8 0
3 years ago
There are 614,952 pepole living in a city round this number ot the nearest thousand
Dima020 [189]

Answer:

615,000

Step-by-step explanation:

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

3 0
3 years ago
Read 2 more answers
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