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frez [133]
3 years ago
11

Which is a true statement?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0
A) -15 > -5 is false.
B) -4 > 0 is 0 < -4
C) -12 < -3 is always true. There are many solutions.
D) 2 < -5 is false.

Answer: C) -12 < -3
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A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she
Nataly_w [17]

Answer:

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

M = z\frac{\sigma}{\sqrt{n}}

4 = 1.96\frac{\sigma}{\sqrt{n}}

4\sqrt{n} = 1.96\sqrt{\sigma}

\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}

(\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2

n = (\frac{1.96\sqrt{\sigma}}{4})^2

The minimum sample size needed is n = (\frac{1.96\sqrt{\sigma}}{4})^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

4 0
3 years ago
A circle has its center at (6, –3). One point on the circle is (3, 1). Which is another point that lies on the circle?
nikdorinn [45]

Answer:

(4,0)

Step-by-step explanation:

4 0
3 years ago
Evaluate x + y when x = - 18.2 and y = 3.6
Contact [7]
-18.2 + 3.6= -14.6 is the answer to the question
3 0
3 years ago
Read 2 more answers
Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S
mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 1.5 cm
  • h = 0.25 cm

Substituting given values into the formula to find the volume:

\sf \implies V=\pi (1.5)^2(0.25)

\sf \implies V=0.5625 \pi \:cm^3

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

\sf \rho=\dfrac{m}{V}

where:

  • \rho = density
  • m = mass
  • V = volume

Given:

  • m = 18.54 g
  • \sf V=0.5625 \pi \:cm^3

Substituting given values into the density formula:

\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}

\implies \sf \rho=10.49149385\:g\:cm^{-3}

Given:

  • \textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}
  • \textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}

Therefore, as \sf \rho=10.49\:g\:cm^{-3} the coin is made from silver.

4 0
2 years ago
Sam lives near a lagoon in the Caribbean that is populated by flamingos. Sam decides to figure out approximately how many flamin
klasskru [66]

Answer:

about 330

Step-by-step explanation:

280 rounded is 330 and 30 is already rounded so you would add 30 plus 330

5 0
3 years ago
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