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yan [13]
3 years ago
15

Patricia the Pig built a very strong house of steel. The steel-house can withstand wind speeds of up to 4928 km per hour. Choose

the best approximation of the highest wind speed that Patricia's steel-house can withstand. Choose 1 answer. A. 5•10^3 km per hour. B. 5•10^4 km per hour.
Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Answer:

The correct answer is option A.

Step-by-step explanation:

Rules of approximation:

  1. If the rightmost digit to be removed is more than 5, the preceding number is increased by one.
  2. If the rightmost digit to be removed is less than 5, the preceding number is not changed.
  3. If the rightmost digit to be removed is 5, then the preceding number is not changed if it is an even number but it is increased by one if it is an odd number.

Speed withstand by the steel house = 4928 km/hour

4928 km/h \approx 5000 km/h

The approximate value of 4928 km/h is 5000 km/h.

5000 km/h=5\times 10^3 km/h

babunello [35]3 years ago
4 0

Answer:

A

Step-by-step explanation:

5*10^3=5*1000=5000

5*10^4=5*10000=50000

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(-12,0)

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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?
Yuliya22 [10]

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = \sqrt{x}

Which increases on (0, ∞).

The translated function is given by:

g(x) = -2\sqrt{x - 3}

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It fo
Harman [31]

Answer:

(a) The 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b) The sample size required is 107.

Step-by-step explanation:

(a)

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

Given:

\bar x=\$10,979\\s=\$1000\\n=20

Compute the critical value of <em>t</em> for 90% confidence level as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (20-1)}=t_{0.05, 19}=1.729

*Use a <em>t-</em>table.

Compute the 90% confidence interval for population mean as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =10979\pm 1.729\times \frac{1000}{\sqrt{20}}\\=10979\pm4.47\\ =(10974.53, 10983.47)

Thus, the 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b)

The margin of error is provided as:

MOE = $250

The confidence level is, 99%.

The critical value of <em>z</em> for 99% confidence level is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

Compute the sample size as follows:

MOE= z_{\alpha/2}\times \frac{s}{\sqrt{n}}

      n=[\frac{z_{\alpha/2}\times s}{MOE} ]^{2}

         =[\frac{2.58\times 1000}{250}]^{2}

         =106.5024\\\approx107

Thus, the sample size required is 107.

4 0
3 years ago
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