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Darya [45]
3 years ago
9

What happens to the value of the expression 80/h as h increases from a small positive number to a large positive number?

Mathematics
2 answers:
Alex787 [66]3 years ago
6 0

Answer:

The numerator decreases when the denominator increases

Step-by-step explanation:

STatiana [176]3 years ago
4 0

For this case we have the following expression:

\frac {80} {h}

We substitute a small number h, that is, h = 0.05

So:

\frac {80} {0.05} = 1600

It is observed that the value of the expression is very large, that is, it increases with small values of h

We substitute a large number h, that is, h = 500

So:

\frac {80} {500} = 0.16

It is observed that the value of the expression decreases.

Answer:

The value of the given expression decreases when h increases from a small positive number to a large positive number.

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A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the
SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }

t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093

[15.3 ± 2.093 * \frac{6.8}{\sqrt{20} }]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0
3 years ago
When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s
mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

  • 68% is the first standard deviation
  • 95% is the second standard deviation about the mean
  • 99.7% is the 3rd standard deviation about the mean.

-Therefore. the middle 95% interval is calculated as:

CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]

Hence, the interval is [34,54]

5 0
3 years ago
Help please. this doesn't make sense ​
saveliy_v [14]

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

5 0
2 years ago
Write the number eighty seven in standard form
Alja [10]
Eighty seven written in standard form would be...
80 + 7 = 87 

Good Luck! :)
4 0
3 years ago
Read 2 more answers
What is the angle of elevation?
ANEK [815]

Answer:

Step-by-step explanation:

tan x° = \frac{3}{4} ⇒<em> x°</em> ≈ 36.87° ≈ <em>36.9° </em>

4 0
3 years ago
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